Answer:
[tex]y = - 4x - 3[/tex]
Step-by-step explanation:
[tex]y - 1 = - 4(x + 1) \\ y - 1 = - 4x - 4 \\ y = - 4x - 3[/tex]
Examine the operations above.
3(x + 4) = 2x + 4x - 6 Please help i'll give 90 pts and I only have 113.
Answer:
x= 6
Step-by-step explanation:
3(x + 4) = 2x + 4x - 6
3x + 12 = 2x + 4x - 6
3x + 12 = 6x - 6
-3x = -18
x= 6
hope it helps
if it helps you, pls give me the brainliest.
Answer:
x = 6
Step-by-step explanation:
3(x + 4) = 2x + 4x - 6
~Distribute the left side
3x + 12 = 2x + 4x - 6
~Combine like terms on the right side
3x + 12 = 6x - 6
~Subtract 12 to both sides
3x = 6x - 18
~Subtract 6x to both sides
-3x = -18
~Divide -3 to both sides
x = 6
Best of Luck!
I need help ASAP !!!!!
Answer:
a is 12, p is 9.
Step-by-step explanation:
No matter what letters or numbers you use you have to come out with the exact number that sums up with the queston provided which means you have to come out with the sum 21 either way, no matter what letters, numbers youu use.
Facts:
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.
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:
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?
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
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 .
The 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively. What is the 1st term of the sequence.
Answer:
a₁ = -1Step-by-step explanation:
[tex]a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1[/tex]
If the 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively, then the 1st term of the sequence is -1
The nth term of an arithmetic sequence is given by the formula:
[tex]a_n=a+(n-1)d[/tex]
The 8th term of the arithmetic sequence is 20
[tex]a_8 = 20\\\\a_8=a+(8-1)d\\\\a+7d=20.......................(1)[/tex]
The 20th term of the arithmetic sequence is 56
[tex]a_{20} = 56\\\\a_{20}=a+(20-1)56\\\\a+19d=56.......................(2)[/tex]
Subtract equation (1) from equation (2)
12d = 36
d = 36/12
d = 3
Substitute d = 3 into equation (1)
a + 7d = 20
a + 7(3) = 20
a + 21 = 20
a = 20 - 21
a = -1
The first term of the arithmetic sequence is -1
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A 24ft flagpole has a shadow of 9ft. A soldier standing next to the flagpole has a shadow of 2.25 feet. How tall is the soldier?
Answer:
6 feet
Step-by-step explanation:
Let's form a proportion;
24 x
____ = _____ ,
9 2.25
24(2.25) = 9x,
54 = 9x,
x = height of soldier = 6 feet
Answer:
6 feet
Step-by-step explanation:
[tex]\frac{height of object}{length of shadow}[/tex]
Let the hight of the soldier be x
[tex]\frac{24}{9}[/tex] = [tex]\frac{x}{2.25}[/tex]
x = (24×2.25)/9 = 6ft
Find the surface area of the cube shown below
Answer:
the answer is 37.5cm^2
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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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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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
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
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 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
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
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
pls respond ,.... 25 points
The answer is B, hope this helped you!
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)
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 )
whixh equation shows the negative one property of division
Answer:#3
Step-by-step explanation:
Ur welcome
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)
alex toby and samual are playing a game together
Answer:
sorry I don't mean to be rude but where is the question what you've written is a statement
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
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
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
36÷2/3
pls help i no understand
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!