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vodomira [7]
2 years ago
7

Write an equation in slope-intercept

Mathematics
1 answer:
sergeinik [125]2 years ago
7 0
The answer is y= -2x+4
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What is the answer of the equation 2(x+2)-7+x=27
mylen [45]

Answer:

x = 10

Step-by-step explanation:

Solve for x:

2 (x + 2) - 7 + x = 27

2 (x + 2) = 2 x + 4:

2 x + 4 + x - 7 = 27

Grouping like terms, 2 x + x - 7 + 4 = (2 x + x) + (4 - 7):

(2 x + x) + (4 - 7) = 27

2 x + x = 3 x:

3 x + (4 - 7) = 27

4 - 7 = -3:

3 x + -3 = 27

Add 3 to both sides:

3 x + (3 - 3) = 3 + 27

3 - 3 = 0:

3 x = 27 + 3

27 + 3 = 30:

3 x = 30

Divide both sides of 3 x = 30 by 3:

(3 x)/3 = 30/3

3/3 = 1:

x = 30/3

The gcd of 30 and 3 is 3, so 30/3 = (3×10)/(3×1) = 3/3×10 = 10:

Answer:  x = 10

3 0
3 years ago
Read 2 more answers
A group of workers is harvesting berries at a constant rate. An equation that represents the number of baskets of berries the wo
tiny-mole [99]

Question: (a) What are the slope and the y-intercept for the equation that represents the number of baskets of berries the workers picked over a period of time?

Answer:

Given equation is y = 6x + 8.

Where y represents the number of baskets of berries the workers picked over a period of time x in hours.

Compare with slope intercept form y=mx+b, we get m=6 and b=8

Hence slope is 6 and y-intercept is 8.

-----------


Question: (b) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.

Answer:

Rate of change means slope so answer is 6.

Initial amount means y-intercept so that is 8.

rate of change of 6 means six baskets of berries are picked by workers in 1 hour.

Initial amount of 8 means there was 8 baskets of berries already filled in the beginning.


-----------




Question: (c) Use graph paper to draw a graph representing the situation. Label the axes appropriately.

Answer:

first we graph y-intercept that is at point (0,8)

slope = 6 means make another point which is 6 unit up then 1 unit right from (0,8) so the new point is at (1,14)

Hence final graph is the line joining both points.


3 0
3 years ago
If two fair dice are rolled, what is the probability that the total showing is either even or less than five?
vampirchik [111]

Answer:

50/50

Step-by-step explanation:

6 0
3 years ago
Calculate the circumference of the circle. Use 3.14 for pi. I WILL MARK BRAINLIEST
Harrizon [31]

Answer:

The answer would be B

Step-by-step explanation:

C=2(pi)r

C=25.12

8 0
2 years ago
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Jacques needs to convert the function f(x) = x2 − 6x + 14 to vertex form, f(x) = (x − h)2 + k, in order to find the minimum.
Bond [772]

Answer:

C. 5

Step-by-step explanation:

4 0
3 years ago
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