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4 years ago

Solve for x 5x+12+6x-10=360

2 answers:

5 0

Hi there!

$5x + 12 + 6x - 10 = 360$
Collect terms.

$11x + 2 = 360$
Subtract 2 from both sides.

$11x = 358$
Divide both sides by 11.

$x = \frac{358}{11 } = 32 \frac{6}{11}$

san4es73 [151]4 years ago

4 0

Answer:

Step-by-step explanation:

Hello!

5x + 12 + 6x - 10 = 360

11x + 2 = 360

11x = 358

x = 32.5454545455

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For funcitons f(x)=2x+3 and g(x)=-3x-2, please find (f∘g)(-1)

ratelena [41]

Answer:

$\displaystyle (f\circ g)(-1) = 5$

Step-by-step explanation:

We are given the two functions:
$\displaystyle f(x) = 2x + 3\text{ and } g(x) = -3x - 2$

And we want to find:
$\displaystyle (f\circ g)(-1)$

Recall that this is equivalent to:
$\displaystyle (f\circ g)(-1) = f(g(-1))$

Hence, find g(-1):
$\displaystyle \begin{aligned} g(x) & = -3x - 2\\ \\ g(-1) & = -3(-1) - 2\\ \\ & = (3) - 2 \\ \\ & = 1 \end{aligned}$

Substitute:
$\displaystyle f(g(-1)) = f(1)$

Find f(1):

$\displaystyle \begin{aligned} f(x) & = 2x+ 3 \\ \\ f(1) & = 2(1) + 3 \\ \\ & = 5\end{aligned}$

In conclusion:
$\displaystyle (f\circ g)(-1) = 5$

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3 years ago

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Step-by-step explanation:

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