Answer:
y = –3x – 6
Step-by-step explanation:
We'll begin by obtaining the slope of the equation y = –3x – 2.
This can be obtained by comparing
y = –3x – 2 with y = mx + c
Thus, the slope (m) of the equation
y = –3x – 2 is –3.
Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.
This is illustrated below:
For parallel lines, the slope are related as follow:
m1 = m2
m1 = –3
m2 = m1 = –3.
Finally, we shall determine the equation as follow:
Coordinate = (–3, –3)
x1 coordinate = –3
y1 coordinate = –3
Slope (m) = –3
y –y1 = m(x – x1)
y – (–3) = –3 (x – (–3))
y + 3 = –3 (x + 3)
y + 3 = –3x – 3
Rearrange
y = –3x – 3 – 3
y = –3x – 6
Thus, the equation parallel to the line is y = –3x – 6
What is the equation of this line?
A. y=43x−4
B. y=34x−4
C. y=−4x+34
D. y=−4x+43
Answer:
Y=4/3x - 4
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=(4/3)x-4.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope of the line can be calculated with the two points that are present on the line, in this case, these points are (3,0) and (0, -4). Therefore, the slope is,
Slope, m = (-4 - 0)/(0 - 3) = -4/-3 = 4/3
The y-intercept of the line is -4, therefore, the equation of the line can be written as,
y = mx + c
y = (4/3)x - 4
Hence, the equation of the given line is y=(4/3)x-4.
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pls respond ,.... 25 points
The answer is B, hope this helped you!
Toby's principal wants to put a new fence around the playground. The playground is a rectangle in shape.
It is 75.23 meters wide and 105.55 meters long. Which expression shows how many meters of fencing he needs in all?
A-75.23 + 75.23 + 75.23 + 105.55
B-75.23 + 105.55 + 105.55 + 105.55
C-75.23 + 75.23 + 105.55 + 105.55
D-75.23 + 75.23 + 75.23 + 75.23
Sofia has an action figure collection. She keeps 185 of the action figures on her wall, which is 37% of her entire collection. What is the total number of action figures in Sofia's collection?
Answer:
222
Step-by-step explanation:
Answer:
500 figures.
Step-by-step explanation:
We know that 185 figures is 37% of her entire collection.
Let c represent the total amount of figures.
Since 185 is 37% or 0.37 of her total collection, we can write the equation:
[tex]0.37c=185[/tex]
Remember that the keyword of tells us it's multiplication.
Therefore, to find the number of figures in her total collection, divide both sides by 0.37:
[tex]c=\frac{185}{0.37}[/tex]
Evaluate. Use a calculator. So:
[tex]c=500[/tex]
Sofia's total collection has 500 figures.
Find the slope of each line.
Line A: (6,4) & (-3,-1)
Line B: (-6,0) & (3,5)
a) line a= 5/9 line b= 5/9
b) line a= 9/5 line b= 9/5
c) line a= -5/9 line b= -5/9
d) line a= -9/5 line b= -9/5
Answer:
a) line a= 5/9 line b= 5/9
Step-by-step explanation:
Use the slope formula:
m = y2 - y1
x2 - x1
Plug-in the known values for each line:
Line A: -1 - 4 = -5 = 5
-3 - 6 -9 9
Line B: 5 - 0 = 5
3 - (-6) = 9
John sold 32 poster prints of his artwork in September for a total of $126. In October, he sold 48 prints of his artwork for $240. If the relationship between the number of poster prints and total earnings is linear, what was the cost per print expressed as a slope(# of posters sold, $posters sold for)?(complete sentence answer
Given:
In September, John sold 32 prints of his artwork for $126.
In October, he sold 48 prints of his artwork for $240.
To find:
The cost per print expressed as a slope.
Solution:
Let y be the cost of x prints.
The relationship between the number of poster prints and total earnings is linear.
In September, John sold 32 prints of his artwork for $126. So, the line passes through (32,126).
In October, he sold 48 prints of his artwork for $240. So, the line passes through (48,240).
Now, the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{240-126}{48-32}[/tex]
[tex]m=\dfrac{114}{16}[/tex]
[tex]m=7.125[/tex]
The slope of the linear function 7.125.
Therefore, the cost of per print is $7.125.
Helpppppppppppppppppppppppp
Answer:
1A, 2C, 3X, 4A, 5B, 6W, 7X
Step-by-step explanation:
Im not sure about these answers, can you have the same letter for a different number?
Solve: 4 − 2(2x − 7) = −6.
A) −6
B) −5
C) −3
D) 6
Answer:
x = 6
Step-by-step explanation:
4 − 2(2x − 7) = −6.
Distribute
4 -4x +14 = -6
Combine like terms
18-4x = -6
Subtract 18 from each side
18 -4x-18 = -6-18
-4x = -24
Divide each side by -4
-4x/-4 = -24/-4
x = 6
A box contains 10 tags, numbered 1 through 10, with different numbers on each tag. A second box contains 8 tags, numbered 20 through 27 with a different number on each tag. One tag is drawn at random from each box. What is the expected value of the sum of the numbers on the two selected tags?
Answer:
29
Step-by-step explanation:
Given that:
Bag 1 : Bag contains 10 tags numbered 1 - 10 with different numbers on each
Bag 2: Another bag with 8 tags numbered from 20 - 27
Two Tags are drawn at random, one from each bag; Expected value of the sum of numbers on the two selected tags :
Expected value = mean of numbers in bag 1 + mean if numbers in bag 2
E(X) = (bag 1 minimum + maximum) / 2 + (bag 2 minimum + maximum) / 2
E(X) = [(1 + 10) / 2] + [(20 + 27) / 2]
E(x) = (11/ 2) + (47/2)
E(x) = 5.5 + 23.5
E(x) = 29
Hence, expected value of sum if numbers from each draw = 29
What is the solution to the system of equations?
Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
x + 2y = - 6 → (1)
3x + y = 2 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the term in y
- 6x - 2y = - 4 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 10 ( divide both sides by - 5 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
2 + 2y = - 6 ( subtract 2 from both sides )
2y = - 8 ( divide both sides by 2 )
y = - 4
Solution is (2, - 4 )
PLEASE HELP I ONLY NEED# 8,10,12,19,20 AND 22 DONE
Solve 7 - 2x = x - 14
Answer:
7 = x
Step-by-step explanation:
7 - 2x = x - 14
7 + 14 = x + 2x
21 = 3x
7 = x
Hope this helps!
Caryn Dexter susie and Vinny filled 24 grocery bags with total of 177 cans to bring to the recycling center. Each person had the same number of cans in every one of his or her bags but that number differed from person to person. How many bags did each person fill How many cans were in each of their bags?
Answer:201
Step-by-step explanation:
177+24=201
Peyton recorded her height twice a year. She grew 5 1/4 inches in 3 1/2 years. What was Peyton’s average growth rate per year?
Height in which Peyton grew in 3 ½ years = 5 ¼ inches
Height Peyton grows each year =
= 5 ¼ ÷ 3 ½
= 21/4 ÷ 7/2
= 21/4 × 2/7 ( division of fractions is the same as multiplication with reciprocal )
= 42/28
Let us simplify this by dividing the numerator and denominator by 2 .
= 42 ÷ 2 / 28 ÷ 2
= 21/14
= 1 7/14 inches
Peyton's average growth rate per year was 1 7/14 per year . Let us simplify it .
= Both 7 and 14 are divisible by 2 .
So , 1 whole 7 ÷ 2 / 14 ÷ 2
= 1 whole 1/2
= 1 1/2
Therefore , Peyton's average growth rate per year was 1 1/2 inches .
Suppose x, y, and z are all rational numbers. Is LaTeX: \frac{z}{\sqrt{x^2-y^2}}z x 2 − y 2 a rational number? Explain your answer.
Answer:
The square root of 2 is not rational, i.e. it is irrational. Explanation: We can think of a rational number as that which can be expressed as a fraction or ratio of two integers. Irrational numbers do not terminate or repeat, and cannot be represented by a finite … Suppose √2 is rational.
Step-by-step explanation:
36÷2/3
pls help i no understand
Find the surface area of the cube shown below
Answer:
the answer is 37.5cm^2
The cost for children under twelve at a certain buffet restaurant is a base charge of a dollar plus twenty-five cents for each year of the child's age. Represent this cost as an expression, using y to stand for the child's age in years. Then use the expression to find the cost for a child who is nine.
Answer:
[tex]Cost = 1 + 0.25y[/tex]
[tex]Cost =3.25[/tex]
Step-by-step explanation:
Given
[tex]Base\ Amount = \$ 1[/tex]
[tex]Additional = 25cents[/tex] of child's age
Solving (1):
Determine the cost function.
Represent the years as y.
So, we have:
[tex]Additional = 25cents[/tex] * y
Convert 25 cents to dollars.
[tex]25 cents = 25 * \$0.01[/tex]
[tex]25 cents = \$0.25[/tex]
So, we have:
[tex]Additional = \$0.25 * y[/tex]
The cost amount is then:
[tex]Cost = Base\ Amount + Additional[/tex]
[tex]Cost = 1 + 0.25y[/tex] --- This is the cost function
Solving (b): Cost of 9 years old.
In this case;
[tex]y = 9[/tex]
Substitute 9 for y in [tex]Cost = 1 + 0.25y[/tex]
[tex]Cost =1 + 0.25 * 9[/tex]
[tex]Cost =1 + 2.25[/tex]
[tex]Cost =3.25[/tex] --- This is the cost for a child of 9
Answer:
1+0.25y, 2.25
Step-by-step explanation:
You would express the added 25 cents times the age of the child since the age is represented by the variable y, you would put 0.25y
then to find what the cost is for a nine year old you would multiply 9 by 25 and at the end of multiplying you would move the decimal from zero two times to the left. In case you don't understand how you could move the decimal from zero, there is always a decimal to the right of a whole number where the number ends its just not seen because there is no decimal in the number to represent. The decimal would still be there just it would be invisible but it becomes visible when there is a decimal number to represent.
hope this helps someone, keera
Each serving of a cereal is 80 calories. Which expression can be used to find the number of calories in 3 servings?
80 times 3
80 divided by 3
3 divided by 80
80 minus 3
Answer: 80 times 3
Step-by-step explanation: Each serving is 80 calories so multiply to get the total.
Answer:
A
Step-by-step explanation:
80 x 3
Evaluate the following expressions for m=-3 n=4 p=2
Answer:
-8
Step-by-step explanation:
Given:
m=-3 n=4 p=2
Missing Equation:
p2 + mn
Find:
Value of equation
Computation:
p2 + mn
⇒ (2)2 + (-3)(4)
⇒ 4 + (-12)
⇒ 4 - 12
-8
2 trapezoids are shown. Trapezoid 1 has points A (negative 7, 0), B (negative 5, 3), C (negative 1, 3), and D (negative 1, 0). Trapezoid 2 has points A prime (1, negative 3), B prime (3, 0), C prime (7, 0), and D prime (7, negative 3).
Which rule describes the translation?
Answer:
The answer is C
Step-by-step explanation:
Because I said so
Answer:
C. (x, y) -> (x + 8, y - 3)
Step-by-step explanation:
Hope this helps! :D
You traveled 52 miles. Then, your avg rate is 12 mph. What algebraic exp.
models the distance?
Answer:y=12x
Step-by-step explanation:
The algebraic equation that models the distance will be d = 12 * t ,
where d = distance traveled and t = time taken to travel.
What is the average speed?The total distance traveled by the object in a given time interval is the average speed. A scalar quantity is an average speed. It is represented by the magnitude and lacks direction.
Avg. speed = [tex]\frac{Total distance travelled}{Total Time Taken}[/tex]
Given :
Total distance traveled = 52 miles.
Average Speed = 12 mph
Let the time taken by t hours.
Therefore, according to the formula: 12 = 52 / t
52 = 12 * t
in order to convert it into algebraic form, let d = 52
Hence, The algebraic equation that models the distance will be
d = [tex]12 *t[/tex]
where d = distance traveled and t = time taken to travel.
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PLS!!!!! HELP ME!!! I WILL MARK U!!!
Answer:
-5
Step-by-step explanation:
Answer:
The coefficient is the number before the variable. In this, they are asking for the first term which is -5m. The coefficient is -5.
Step-by-step explanation:
What is the equation of the line that passes through the point (5, - 2) and has a slope of - 2/5
Answer:
Y=-2/5x
Step-by-step explanation:
Y-int: (0,0)
x-int:(-2,5)
whixh equation shows the negative one property of division
Answer:#3
Step-by-step explanation:
Ur welcome
what are all the fractions that are equivalent to 1/7
Answer:
Some include: 3/21, 4/28, 5/35.
Step-by-step explanation:
You multiply the bottom by a number and then you multilpy the top by that same number!
1/7=3/21
1 times 3=3
7 times 3=21
Which expression is equivalent to 1/4x+3−1/3x+(−2)?
Answer:
7/12x+5
Step-by-step explanation:
there are 11 pieces of pie left over in the cafeteria. if the 6 pieces are apple and 5 are cherry , what fraction of the remaining are apple
Answer:
6/11
Step-by-step explanation: If not this try 12/22
This is because 11 is the denominator and both 5 and 6 are numerators. If you were to ask for what the fraction of remaining pie would be cherry, then you would say 5/11
I need helpppp!???
What is the slope of the line???
Answer:
slope: -3/-4
Step-by-step explanation:
theres the answer
Answer:
3/4
Step-by-step explanation: you start at the point (0,-1) and rise 3 and run 4 to get to the point (4,2)
10x^2-13x-3 how to factor