If y = 7x, what happens to x when y is increased by 5 times its original value?
a)
x decreases 5 times its original value
71
b)
x increases to
its original value
x also increases 5 times its original value
d)
x decrease to
of its original value

x also increases 5 times its original value

Step-by-step explanation:

Correct option is C) x also increases 5 times .

Step-by-step explanation:

Given:

y=7x

The above equation  can be rewritten as  

Now, if we increase the y 5 times then we would have,

Which is also equal to  

x'=5x

Hence  we can say that if we increase the value of y 5 times then we get that the value of x also increases 5 times.

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.