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fredd [130]
3 years ago
5

Solve for x. 3(5 + 4x) = 75

Mathematics
2 answers:
nlexa [21]3 years ago
7 0

Answer:

3(5+4x) = 75

Step-by-step explanation:

Step 1: Distribute. --> 3(5+4x) = 75

                                   15 + 12x =75

Step 2: Find X. ---> <u>15</u> + 12x = <u>75</u>

                               -15            -15

                                      <u> 12</u>x = <u>60</u>

Step 3: Divide.                12      12

Answer: <em><u>x = 5</u></em>

Korvikt [17]3 years ago
6 0

Answer:

X=5

Step-by-step explanation:

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1)The table below represents a linear function f(x) and the equation represents a function g(x):
irga5000 [103]
<span>1)The table below represents a linear function f(x) and the equation represents a function g(x):

 x     y
-1  -11
 0   -1
 1    9


g(x) = 5x + 1

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

slope of the data of the table:

slope = rise / run = Δy / Δx = [ 9 - ( - 1) ] / [1 - 0] = 10/1 = 10

Also Δy / Δx =  [-1 - (-11) ] / [ 0 - (-1) ] = 10 / 1 = 10

the slope of the function given in the form f(x) = mx + b is m, so the slope of g(x) = 5x - 1 is 5.

Comparisson: the slope of the function g(x) = 5x - 1 is half the slope of the function f(x) represented by the table.

Part B: Which function has a greater y-intercept? Justify your answer.

The y-intercept is the value of y when x = 0, so it is - 1 for the function represented by the table.

The y-intercept of a function given in the form f(x) = mx + b is b, so the y-intercept of g(x) = 5x - 1 is - 1.

So, both functions have equal y-intercept.

2)The table below shows the values of y for each value of x:

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f(x) = -x + 6

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Part C: Write an ordered pair to represent the input and output of the function in Part B when Jess is at a distance of p meters from the hoop. (2 points)

input, p         output, f(p)

6                       -6 + 6 = 0

So the ordered pair is (6,0)
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