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bekas [8.4K]
3 years ago
12

What is the area of this shape?

Mathematics
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

5 0
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:

6 0
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
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