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3 years ago

12

What is the area of this shape?

1 answer:

zysi [14]3 years ago

3 0

Area = L x H

area = 20 x 15 = 300 square feet

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Heather received a 32% discount on a $34 shirt. After the 7% sales tax was added, how much did she pay for the shirt.

Marat540 [252]

Answer:

$15.17

Step-by-step explanation:

divide 34 by 32 = 1.0625. and divide it by the 7%= $15.17

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3 years ago

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What’s a line equation passing through (14,-8) and (24,-3)

Nataly_w [17]

$\bf (\stackrel{x_1}{14}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{24}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{24}-\underset{x_1}{14}}}\implies \cfrac{-3+8}{10}\implies \cfrac{5}{10}\implies \cfrac{1}{2}$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{14}) \\\\\\ y+8=\cfrac{1}{2}x-7\implies y=\cfrac{1}{2}x-15$

4 0

3 years ago

Which function describes this table of values? x:10,5,0,-5 y:8,4,0,-4

katrin [286]

Answer:

First option

Step-by-step explanation:

You can plug in values and verify.

Please help me by marking me brainliest. I'm really close :)

3 0

3 years ago

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caffeine takes a certain amount of time to leave your system if you drink 3 cups of coffee in the morning, the function that rep

k0ka [10]

Answer:

3

Step-by-step explanation:

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3 years ago

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6. Let f and g be differentiable functions

Julli [10]

Answer:

(b) 1

Step-by-step explanation:

To differentiate $h(x)=f(x)g(x)$ we will need the product rule:

$h'(x)=f'(x)g(x)+f(x)g'(x)$ .

We have $h'(x)=f(x)g'(x)$ , so the following equation is true by the transitive property:

$f'(x)g(x)+f(x)g'(x)=f(x)g'(x)$

By subtraction property we have:

$f'(x)g(x)=0$

Since $g(x) \neq 0$ , then we can divide both sides by $g(x)$ :

$f'(x)=\frac{0}{g(x)}$

$f'(x)=0$

This implies $f(x)$ is constant.

So we have that $f(x)=c$ where $c$ is a real number.

Since $f(0)=1$ and $f(0)=c$ , then by transitive property $1=c$ .

So $f(x)=1$ .

Checking:

$h(x)=1 \cdot g(x)$

$h'(x)=g'(x)=1 \cdot g'(x)$

So the following conditions were met.

5 0

3 years ago