According to given data, we can prove that Statement 1 is increasing function, Statement 2 is Decreasing Function, and Statement 3 is Constant Function.
1. The linear function that describes the relationship between the input value (number of days) and the output value (total number of texts sent) is y = 60x, where y is the total number of texts sent and x is the number of days. The graph of this function is increasing because as the number of days increases, the total number of texts sent also increases at a constant rate of 60 texts per day.
2. The linear function that describes the relationship between the input value (number of days) and the output value (total number of texts remaining for the month) is y = 500 - 60x, where y is the total number of texts remaining for the month and x is the number of days. The graph of this function is decreasing because as the number of days increases, the total number of texts remaining for the month decreases at a constant rate of 60 texts per day.
3. The linear function that describes the relationship between the input value (number of days) and the output value (total cost of texting each month) is y = 50, where y is the total cost of texting each month and x is the number of days. The graph of this function is constant because the cost of texting is the same regardless of the number of days.
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What is the formula of image in straight line?
The formula of an image in a straight line is y = mx + c, where m is the slope of the line, x is the x-coordinate of the point and c is the y-intercept.
What is straight line?A straight line is a line whose points all lie in the same plane and all have the same distance from each other, making them all equidistant. The line does not curve or bend in any way, and can extend infinitely in either direction. Straight lines are the most basic form of geometric shape and are the foundation of all other shapes. The line is defined by two points, known as its endpoints, and any point that lies on the line is called a point on the line. Straight lines are important in mathematics, as they are used to describe relationships between points on a graph, and they can also be used to define equations and boundaries.
The y-intercept is the point at which the line crosses the y-axis. The slope of the line is determined by the ratio of the change in the y-coordinate to the change in the x-coordinate. To calculate the slope of a line, the formula m = (y2 - y1)/(x2 - x1) is often used, where (x1, y1) and (x2, y2) are two points on the line. Using the slope and the y-intercept, the formula can be used to plot the points of the image along a straight line.
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if you can solve this that would be great
Answer:
x<30
Step-by-step explanation:
3/6x-1/6x<10
1/3x<10
x<30
Pls answer numbers 4,5 and 6
Which pair of angles are alternate interior angles?
- Angle 1 and 8
- Angle 1 and 7
- Angle 2 and 7
- Angle 3 and 6
In this case, the pair of alternate interior angles would be angle 2 and 7.
What is angle?Angle is a geometric object which is defined by two rays with a common endpoint. It is typically measured in degrees or radians and is used to measure the size of an angle. Angles play a key role in mathematics, being used in trigonometry, calculus, and geometry. Angles are also used in engineering and construction to ensure that components are built properly. In addition, angles are used to measure the direction of objects in the sky, such as stars and planets.
Alternate interior angles are two angles located on opposite sides of a transversal line, but within the same parallel lines. In this case, the pair of alternate interior angles would be angle 2 and 7. These two angles are located on opposite sides of the transversal line, between the two parallel lines.
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A coach gives down and Anya a jug containing one and 5/8 gallons of water they will pour the water into three bottles Dan says he can pour 5/8 of a gallon into the first bottle one eighth of a gallon into the second bottle and 7/8 of a gallon into the third bottle Anja says she can pour 6/8 of a gallon into the first bottle 2/8 of a gallon into the second bottle and 5/8 of a gallon into the third bottle who is correct use the drop-down menus to explain
Answer:
Dan and Anja are both correct.
Step-by-step explanation:
Base on the given;
Total: [tex]1 \frac{5}{8}[/tex]
Dan:
1st Bottle: [tex]\frac{5}{8}[/tex]
2nd Bottle: [tex]\frac{1}{8}[/tex]
3rd Bottle: [tex]\frac{7}{8}[/tex]
Anja:
1st Bottle: [tex]\frac{6}{8}[/tex]
2nd Bottle: [tex]\frac{2}{8}[/tex]
3rd Bottle: [tex]\frac{5}{8}[/tex]
Since we know all the info now. Let's first add up all the bottles.
Dan:
[tex]\frac{5}{8}+\frac{1}{8}+\frac{7}{8}=[?][/tex] ⇒ Only add the numerator.
[tex]\frac{5}{8}+\frac{1}{8}+\frac{7}{8}=\frac{13}{8}[/tex] ⇒ Simplify
[tex]\frac{13}{8}=1\frac{5}{8}[/tex]
Anja:
[tex]\frac{6}{8}+\frac{2}{8}+\frac{5}{8}=[?][/tex] ⇒ Only add the numerator.
[tex]\frac{6}{8}+\frac{2}{8}+\frac{5}{8}=\frac{13}{8}[/tex]⇒ Simplify
[tex]\frac{13}{8}=1\frac{5}{8}[/tex]
Base on the given;
Total = [tex]1\frac{5}{8}[/tex]
From what we solve:
Dan and Anja are both correct.
Since the drop-down menus wasn't given. I can not farther given more info. Please have a link to the image if help is needed.
RevyBreeze
A local car dealership has 250 cars on the lot. 30% of the cars are SUVs. How many of the cars are not SUVs?
Answer:175 are not suvs
Step-by-step explanation:
Answer: 175
Step-by-step explanation:
Gong rented a truck for one day. There wa a bae fee of $19. 95, and there wa an additional charge of 71 cent for each mile driven. Hong had to pay $125. 74 when he returned the truck. For how many mile did he drive the truck?
Gong must have driven the truck for 149 miles as per the given problem.
Let’s discuss the problem in detail.
In addition to the base rate of $19.95, there was an extra fee of 71 cents for every mile driven. When Gong returned the truck, he was required to pay $125.74.
Now we have to calculate how far did he drive the truck before stopping.
First, let’s convert all dollars into cents.
Base fee = 1995 cents.
71 cents for each mile.
Total Gong gave 12574 cents.
Assume Gong drive for x miles.
Therefore, 12574 = 1995 + 71 * x
= 71x = 12574 - 1995
= 71x = 10579
= x = 10579/71 = 149 miles.
Hence, Gong drove the truck for 149 miles before stopping.
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what 3 to the second power time 5
Answer: 45
Step-by-step explanation: 3 x 3 = 9 x 5 = 45
An item is regularly priced at $93. Kira bought it at a discount of 45% off the regular price.
(50 points, thanks, 5 stars, brainliest, all that jazz, IF correct!)
If Kira had not have any discount, she would have bought the product at the normal selling price.
$ [tex]93[/tex]But that product was given a [tex]45[/tex]% discount on its regular price.
[tex]45[/tex]% [tex]=\frac{45}{100}=\frac{9}{20}[/tex]If the product had cost $[tex]100[/tex], the discount would have been $[tex]45[/tex].
So how many dollars would the discount be if it was $[tex]93[/tex]? We can determine this using a proportion.
[tex]93\frac{9}{20}=41.85[/tex]Kira will therefore be able to buy this product at a [tex]45[/tex]% discount for only;
[tex]93-(41.85)=51.15[/tex] dollars.answer PLEASE????? thanks
Answer:
2 4/5
Step-by-step explanation:
2/5 x 2 = 4/5 + 2 = 2 4/5
_______________
Hope this helps :)
What does the mark of the angles and sides of the triangle indicate?
The mark of the angles and sides of the triangle indicate that they are congruent.
What is congruence of triangle ?Triangle diagram with side and angle indicators. To demonstrate if two or more sides are congruent, indicator marks are utilized (equal in measure).
Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance.
When two angles and the included side of one triangle are equal to two angles and the included side of another triangle, two triangles are said to be congruent. PB = DE. The matching triangle portions are equal since the triangles are congruent.
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What are the 5 types of equality?
Equality is a fundamental human right, and it is essential for the development of any society. Equality is a complex concept that can be broken down into five distinct types.
The 5 types of equalitySocial Equality: The equal access to social rights and opportunities regardless of race, gender, or any other social identifier.Economic Equality: The equality of access to resources and wealth, regardless of social standing or economic background.Political Equality: The right to participate in the political process and the right to have a say in the decisions that affect one’s life.Legal Equality: Equal access to the same laws, rights, and responsibilities as everyone else.Equality of Opportunity: The ability to access the same opportunities regardless of background, skin color, gender, or any other factor.Learn more about Equality: https://brainly.com/question/9873909
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Multiply. -4 x 1 7 8 Submit || what dies this eaqual in a fraction we are doing rational numbers
Therefore , the solution of fraction is both of the options are incorrect in this case since the given expression results in a different equation than the ones chosen.
The definition of fractionA part makes up the whole. In maths, the excess is divided by the denominator to represent a statistical as a divide. Both are integers in a simple fraction. The prime or the denominator of a complex fraction both contain a fraction. A proper fraction has an equal numerator.
Here,
The sentence that is given
13/15 | 2 - x | = 4/15
there are
| 2- x | = 1/15
Identify the absolute value.
=> 13/15 | 2- x | = 1/15
=> | 2- x | = 4 * 15 / 15 * 13
=> 1/13 = | 2- x |
Therefore, if your query is complete, the appropriate answer is none of the above options. Neither choice is appropriate in this case since the given expression results in a new equation that isn't the same as the options made.
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PLEASE ANSWER ASAP!! WORTH 20 POINTS! WILL GVE 5 STAR REVIEW IF ANSWERED CORRECTLY!!
A right rectangular prism measures 12 cm tall, 8 cm long, and 5 cm wide.
A manufacturer would like to double the surface area of this prism. What should be the height of the new prism so that its surface area is doubled?
Enter your answer, to the nearest tenth, in the box.
Answer: 392
Surface area of a prism formula: A= 2(l*w*h)
2*(5*8*12*5*8*12) =392
Step-by-step explanation:
Hope this helps :))))
To find the measure of A in ABC, use the
To find the length of side h in hit, use the
We can use the Law of Cosines. The Law of Cosines states that for a triangle ABC with sides a, b, and c, and angle A opposite side c, the measure of angle A can be found: cos A = (b^2 + c^2 - a^2) / (2bc)
How to use the Law of Cosines?Measure or determine the lengths of all three sides of the triangle (a, b, and c). Let's say a = 5, b = 6, and c = 7.
Substitute the side lengths into the formula above and solve for cos A. cos A = (6^2 + 7^2 - 5^2) / (267) = 0.6
Use the inverse cosine function to find the measure of angle A in degrees or radians. In this case, A = 60 degrees.
To find the length of side HI in triangle HIG, we can use the Pythagorean Theorem. The Pythagorean Theorem states that for any right triangle, the length of the hypotenuse (the side opposite the right angle) is equal to the square root of the sum of the squares of the other two sides.
How to use the Pythagorean Theorem?Measure or determine the lengths of the two legs of the triangle (HG and GI). Let's say HG = 8 and GI = 6
Substitute the side lengths into the formula HI^2 = HG^2 + GI^2 and solve for HI. HI = √(8^2 + 6^2) = √(64+36) = √100 = 10
Therefore, the length of side HI is 10.
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The complete question is:To find the measure of ∠A in ∆ABC, use the___(Pythagorean Theorem, Law of Sines, Law of Cosines). To find the length of side HI in ∆HIG, use the____(Pythagorean Theorem, Law of Sines, Law of Cosines) .
2
A math teacher observed that as the number of hours students studied their multiplication facts increased, the
number of errors the students made on their multiplication tests decreased. Which scatterplot could support this
teacher's observation?
F
G
Number of Errors
Number of Errors
10
0
y
10
0
Multiplication Tests
12 3 4
Study Time (hours)
Multiplication Tests
1 2 3 4
Study Time (hours)
5
H
J
Number of Errors
Number of Errors
10
2
10
Multiplication Tests
2
●
0 1 2 3 4
Study Time (hours)
Multiplication Tests
●
0 1 2 3 4
Study Time (hours)
5
A scatterplot that shows the number of hours studied on the x-axis and the number of errors on the y-axis would best support the teacher's observation.
What is error in math?Error in math is an incorrect answer to a mathematical equation or problem. It can be caused by a variety of factors, such as inaccurate calculations, misreading instructions, or not understanding the problem. Error in math can be frustrating and can lead to poor grades, but it can also be an opportunity for learning and growth. With the proper guidance and understanding, students can learn from their mistakes and become better mathematicians.
The scatterplot would likely show a negative correlation, with the number of errors decreasing as the number of hours studied increases. This indicates that as students study more, their performance on multiplication tests improves. It could also show an outlier or two, which could indicate that some students are able to learn multiplication facts more quickly than others.
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At an animal shelter, there are 15 dogs and 5 cats what percent of the animal are cats
Answer:
25%
Step-by-step explanation:
5 out of (15+5 ) are cats
5/20 = .25 = 25 %
Answer:
25%
5 out of (15+5 ) are cats
5/20 = .25 = 25 %
Pls mark me as brainliest
Is 3x2 a exponential function?
No, 3x2 is not an exponential function. An exponential function is a function in which the variable (x) is in the exponent.
The general form of an exponential function is f(x) = a^x, where a is the base and x is the exponent.
In the case of 3x2, the variable (x) is not in the exponent, it's being multiplied by the coefficient 3. This is a linear function, not an exponential function. The general form of a linear function is f(x) = mx+c, where m is the coefficient and c is the y-intercept.
In summary, 3x2 is not an exponential function. An exponential function is a function in which the variable (x) is in the exponent. The general form of an exponential function is f(x) = a^x, where a is the base and x is the exponent. In the case of 3x2, the variable x is not in the exponent, it's being multiplied by the coefficient 3. This is a linear function, not an exponential function.
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What are the four types of triangles according to angle measure?
The 4 types of triangle are
Acute triangle
Obtuse Triangle
Right triangle
Equivalent triangle
What are the four types of triangles by angle measurement ?A triangle is said to be equilateral if each of its three sides is the same length. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.
A triangle having three acute angles is known as an acute triangle. A triangle having one obtuse angle and two acute angles is known as an obtuse triangle. No Euclidean triangle may contain more than one obtuse angle because in Euclidean geometry, a triangle's angles must add up to 180°.
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Obtuse-angled triangles or obtuse triangles are triangles with any one of its angles being an obtuse angle or more than 90°. Only 180° is equivalent to the internal angles of an acute triangle.
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CALC HELP SO PHOTO PLEASE
Answer:
Step-by-step explanation:
Add me
name try a new game"/
Need help on this questuon
Answer:
2x⁷
Step-by-step explanation:
Same bases, when multiplying each other, we add the exponents.
Hence:
[tex] \displaystyle{2 {x}^{4} \times {x}^{3} = 2 {x}^{4 + 3} = 2 {x}^{7} }[/tex]
Reference to the laws of exponent here
[tex] \displaystyle{ {a}^{m} \times {a}^{n} = {a}^{m + n} }[/tex]
What is the value of K if X 1 is the factor of 4x³ 3x² 4x K?
The value of k is -3, if x - 1 is a factor of 4x³ + 3x² − 4x + k.
A polynomial factor is a polynomial that divides another polynomial exactly, with no remainder.
For example, if we have a polynomial P(x) = 4x³ + 3x² − 4x + k, and we have a polynomial factor F(x) = x - 1, we can say that P(x) is divisible by F(x) with no remainder.
In general, a polynomial of degree n has n roots (or zeroes) and the factorization of polynomial can be expressed as a product of its roots and its corresponding multiplicity.
To find the value of k, set x = 1 in the equation 4x³ + 3x² − 4x + k and solve for k that will make the equation equal to zero..
So when x = 1, we have:
4x³ + 3x² − 4x + k = 0
4(1)³ + 3(1)² − 4(1) + k = 0
4 + 3 - 4 + k = 0
k = -3
Hence, if x - 1 is a factor of 4x³ + 3x² − 4x + k, then k is equal to -3.
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What are the 6 steps to solving equations?
Answer:
The six steps to solving equations are:
Simplify both sides of the equation, if necessary, by combining like terms.
Isolate the variable on one side of the equation.
Use inverse operations to solve for the variable.
Check your solution by substituting it back into the original equation.
Write the solution in interval notation.
Graph the solution on the number line.
Note that steps 5 and 6 are only applicable when solving inequalities, not equations.
Step-by-step explanation:
City planners study how many automobiles pass through a particular intersection over several
hours. The table shows the results.
What are the most appropriate units for the rate of change in the table?
The most appropriate units for the rate of change in the table is automobiles per hour.
What is rate of change?
The rate of change function describes the rate at which one quantity changes in proportion to another quantity. The rate of change is determined, to put it simply, by dividing the amount of change in one item by the same amount of change in another. The rate of change formula provides a relationship indicating how one quantity changes in relation to a change in another quantity.
We are given that city planners study how many automobiles pass through a particular intersection over several hours.
This means that the graph depends on the automobiles that pass through a particular intersection every hour.
Hence, the most appropriate units for the rate of change in the table is automobiles per hour.
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Page 7:
You're helping a farmer determine the probability that certain vegetables will be
purchased. You know the following about the 100 customers the farmer provides
fruits to:
70 purchase carrots.
50 purchase cucumbers.
60 purchase lettuce.
20 purchase carrots and lettuce.
30 purchase cucumbers and carrots.
a. The probability that a randomly selected customer purchases lettuce is ___.
The probability that a randomly selected customer purchases lettuce is 3/5.
What is Probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given that there are 100 customers the farmer provides.
The number of customers purchasing lettuce is 60.
The probability that a randomly selected customer purchases lettuce,
P(L) = Number of customers purchasing lettuce ÷ Total number of customers
[tex]\implies P(L) = \frac{60}{100} \\\implies P(L) = \frac{3}{5}[/tex]
Therefore, the probability that a randomly selected customer purchases lettuce is 3/5.
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In the accompanying figure, angle 1 measures 28o and angle 2 measures 11o. What is the measure of angle 3
The measure of angle 3 in the given triangle is 141 degrees.
Angle 1 + Angle 2 + Angle 3 = 180°
So, Angle 3 = 180° - (Angle 1 + Angle 2)
Angle 3 = 180° - (28° + 11°)
Angle 3 = 141°
The sum of the three angles in a triangle is 180 degrees, so to calculate the measure of angle 3, we can subtract the measures of angles 1 and 2 from 180 degrees. In this case, angle 1 measures 28 degrees and angle 2 measures 11 degrees, so the measure of angle 3 is 180 degrees minus (28 degrees + 11 degrees), or 141 degrees.
The measure of angle 3 in the given triangle is 141 degrees.
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The function f(x) is shown on the graph.
The graph shows three pieces of f of x. One piece is curved in quadrant three increasing from the left and turning at approximately negative 3.8 comma negative 5.5 to then decreases and is asymptotic to the line x equals negative 2. Another piece is an upward opening u-shaped curve, which is asymptotic to the line x equals negative 2 and x equals 2 with a minimum at approximately negative 0.3 comma 2.4 3.24. Another piece is asymptotic to the line x equals 2 and is increasing from the left and passes through the point 3 comma 2 and continues to increase in quadrant one.
Which type of function describes f(x)?
Exponential
Logarithmic
Polynomial
Rational
Answer:
The answer is rational.
I just got it right on the test.
The table of values of the function f(x) = 5x³ + 2x² - 6x + 7 are illustrations of polynomial functions
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The values on the table can be represented as:
(x, g(x)) = (-3, 0.375) (-1, 0.75) (1, 1.5) (3, 3) (5, 6) (7,12) (9, 24)
The above values show that as the values of x increases by 2, the values of function g(x) doubles.
Only an exponential function has this property.
Hence, the table of values represents an (a) exponential function.
3. Example of a polynomial function
A polynomial function is represented as:
y = ax^n + bx^n-2 + .......... + d
Using the above format, the function that is a polynomial function is (a) f(x) = 5x3 + 2x2 – 6x + 7
4. Key features in the functions
The functions are given as,
f(x) = 2x² + 7x + 6
g(x) = 2x + 5
Set x to 0 to calculate the y-intercept
f(0) = 2(0) + 7(0) + 6 = 6
g(x) = 2⁰ + 5 = 6
Hence, both functions have the same (c) y-intercept
Questions 1 and 5 are not properly presented
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How do you dilate a triangle with a scale factor of 1 2?
If the scale factor is 1/2, then every coordinate point of the original triangle is multiplied by the scale factor 1/2. Dilation with scale factor 1/2, then multiply by 1/2.
How do construct a dilation of 1 2?To dilate the figure by a factor of 2, I will multiply the x-value of each point by 2. I plotted all the new points to find the new triangle. To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2.If the scale factor is a fraction, the shape will be smaller. This is called reduction. Therefore, a 1/2 scaling factor means that the new shape is half of the original shapeThe scale factor = Smaller figure dimensions ÷ Larger figure dimensions = 20/40 = 1/2. Therefore, the scale factor used to create the smaller polygon is 1/2. Example 3. A triangle was increased by a scale factor of 2 resulting in the new dimensions as 6 units by 10 units by 12 units.To learn more about construct a dilation refers to:
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PLEASE HELP On a map, the distance from Happy Hill park to Rainbow Valley park is 4 1/2 inches. The scale is 1/2 = 3 miles. What is the actual distance between the two parks in miles?
The actual distance between Happy Hill park to Rainbow Valley park is calculated to be 27 miles
How to calculate the actual distanceScale factors are used to increase or decrease image. The situation of increment is usually called magnifying.
If on the map the distance between Happy Hill park to Rainbow Valley park is 4 1/2 inches, and the scale factor is 1/2 = 3 miles. The calculation is done as follows
1/2 = 3miles
4 1/2 miles = ?
cross multiplying
4 1/2 * 3 = 1/2 * ?
? = 4 1/2 * 3 / 1/2
? = 27 miles
the actual distance is 27 miles
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An angle bisector is a ray that divides an angle into two congruent angles.please white the converse adn conditional
The converse of the conditional statement is "if a ray divides an angle into two congruent angles, then it is an angle bisector"
What is the converse of the conditional statement?The conditional statement is given as:
"An angle bisector is a ray that divides an angle into two congruent angles"
The converse of the conditional statement is such that:
The hypothesis and the conclusion are switched
So, we have the converse statement to be:
"if a ray divides an angle into two congruent angles, then it is an angle bisector"
Also, the converse of the statement is true
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