-4 (2x + 13) + 3x = 80 How do you solve this out and get the answer

1 answer:

6 0

Hey :)

x= -12

Use the distributive property to multiply −4 by 2x+13

−8x−52=3x+80
Subtract 3x from both sides
−8x−52−3x=80

Combine −8x and −3x to get −11x
−11x−52=80

Add 52 to both sides
−11x=80+52

Add 80 and 52 to get 132
−11x=132

Divide both sides by −11
x= 132/-11

Divide 132 by −11 to get −12
x=−12

Hope this helps :)

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Which is an exponential decay function f (x)=3/4 (7/4)x f (x)=2/3 (4/5)-x. F (x)=3/2 (8/7)-x f (x)=1/3 (9/2)x

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The given functions are
$1.\, f(x)= \frac{3}{4}( \frac{7}{4})^{x} \\ \\2.\,f(x)= \frac{2}{3}( \frac{4}{5} ) ^{-x}\\\\3.\, f(x)= \frac{3}{2} ( \frac{8}{7} )^{-x}\\\\4.\,f(x)= \frac{1}{3} ( \frac{9}{2} )^{x}$

Evaluate the functions.
1. Because 7/4 > 1 and the exponent is positive,
the function does not decay.
2.Because 4/5 < 1 and the exponent is negative,
the function does not decay.
3. Because 8/7 > 1 and the exponent is negative,
the function decays.
4. Because 9/2 > 1 and the exponent is positive,
the function does not decay.

A composite plot the functions verifies the answer.

Answer: $f(x)= \frac{3}{2} ( \frac{8}{7} )^{-x}$