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3 years ago

12

Can Someone Help Me Simplify These Expressions

1 answer:

Citrus2011 [14]3 years ago

7 0

-2k - (-7)k
= -2k + 7k
= 5k

-7(p + 2) + 9(p - 4)
= -7p - 14 + 9p - 36
= 2p - 50

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Are these answers correct?

LenKa [72]

Yes it is correct :)

4 0

3 years ago

Find the value of x to make the following expression true.<br> 3x=729

ohaa [14]

The value of x is 243
(correct me if wrong)

6 0

3 years ago

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Find the volume <br> Please help have to turn in a hour from now

pantera1 [17]

Answer:

V ≈ 226.72 cm³

Step-by-step explanation:

Use the formula for volume of a cone using slant height and radius.

V = 1/3 π r² √ l² - r²

Then, plug in dimensions and solve.

V = 1/3 π (10)² √ 10² - 5²

V ≈ 226.72 cm³

Hope I could help!!! Good luck!!!

5 0

3 years ago

What is the answer to the question

S_A_V [24]

The equation of the parallel line is y = –2x – 11.

Solution:

Given equation of the line is y = –2x – 5.

Slope of this line is $(m_1)$ = –2

To write the equation parallel to this line and passes through (–4, –3).

<em>If two lines are parallel, then they have the same slope.</em>

$\Rightarrow m_1=m_2$

$\Rightarrow m_2 =-2$

<u>Point-slope formula:</u>

$y-y_1=m(x-x_1)$

Substitute the given values in the formula, we get

$y-(-3)=-2(x-(-4))$

$y+3=-2(x+4)$

$y+3=-2x-8$

Subtract 3 from both sides of the equation.

$y+3-3=-2x-8-3$

$y=-2x-11$

Hence the equation of the parallel line is y = –2x – 11.

5 0

3 years ago

Use f(x) = 1/2 x and f -1(x) = 2x to solve the problems. f(2) = 1 f−1(1) = 2 f−1(f(2)) = 2 f−1(−2) = f(−4) = f(f−1(−2)) =

vampirchik [111]

Answer:

In this problem, we are given the following functions:

$f(x)=\frac{1}{2}x$

and its inverse function:

$f^{-1}(x)=2x$

First of all, we want to calculate $f(2)$ . This can be obtained by substituting

x = 2

into f(x). Doing so, we find:

$f(2)=\frac{1}{2}\cdot 2 = 1$

Then we want to calculate $f^{-1}(1)$ . We can do it by substituting

x = 1

into $f^{-1}(x)$ . Doing so,

$f^{-1}(1)=2\cdot 1 = 2$

Then we want to calculate $f^{-1}(f(2))$ , which can be found by calculating f(2) and then using it as input for $f^{-1}(x).$ We know that

f(2) = 1

Therefore,

$f^{-1}(f(2))=f^{-1}(1)=2$

Then we want to calculate $f^{-1}(-2)$ , which can be calculated by plugging

x = -2

into $f^{-1}(x)$ . Doing so,

$f^{-1}(-2)=2\cdot (-2)=-4$

Then we want to calculate $f(-4)$ ; by substituting

x = 4

into f(x), we find

$f(-4)=\frac{1}{2}\cdot (-4)=-2$

Finally, we want to find $f(f^{-1}(-2))$

We know already that

$f^{-1}(-2)=-4$

So we have:

$f(f^{-1}(-2))=f(-4)=-2$

7 0

3 years ago

Read 2 more answers