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4 years ago

Divide using synthetic division. -3x^3+11x^2-x+20 by (x-4). Please show steps!

Mathematics

1 answer:

Vaselesa [24]4 years ago

8 0

-3 11 -1 20
4 -12 -4 -20
-3 -1 -5 0
Bring down the -3,
Multiply -3 * 4
Add 11 and -12
Multiply -1 * 4
Add -1 and -4
Multiply -5 * 4
Add 20 and -20
Answer: The power is reduced by one from the
Dividend. -3x^2 – x - 5
I tried to upload a file also but I don't know if it will show up.

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Study the example on the right to help you complete the problem below. please help!:(

Inga [223]

Answer : The equation for 'h' is $h=\frac{2A}{b}$

Step-by-step explanation :

The given equation is:

$A=\frac{1}{2}bh$

Now we have to determine the equation for 'h'.

$A=\frac{1}{2}bh$

Multiplying the equation by 2.

$2\times A=2\times \frac{1}{2}\times bh$

on simplifying, we get:

$2\times A=bh$

Dividing the equation by 'b'.

$\frac{2\times A}{b}=\frac{bh}{b}$

$\frac{2\times A}{b}=h$

or,

$h=\frac{2A}{b}$

Therefore, the equation for 'h' is $h=\frac{2A}{b}$

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3 years ago

Which logarithmic equation is equivalent to the exponential equation below?

aleksandr82 [10.1K]

Option B: $\ln 6=5 x$ is the correct answer.

Explanation:

The exponential equation is $e^{5 x}=6$

If $f(x)=g(x)$ , then $\ln (f(x))=\ln (g(x))$

Thus, the equation becomes

$\ln \left(e^{5 x}\right)=\ln (6)$

Applying log rule, $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$ and thus the equation becomes

$5 x \ln (e)=\ln (6)$

Since, we know that, $\ln (e)=1$ , using this we get,

$5 x=\ln (6)$

Hence, the logarithmic equation which is equivalent to the exponential equation $e^{5 x}=6$ is $\ln 6=5 x$

Thus, Option B is the correct answer.

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3 years ago

What factors do 16 and 44 have in<br> common?

vodomira [7]

Answer:

1,2,4

Step-by-step explanation:

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 44: 1, 2, 4, 11, 22, and 44.

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Alexus [3.1K]

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3 years ago

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Dovator [93]

A trick that is good for multiplying 9's is, remember that each time the tens digit changes the number in the ones spaces minuses 1. If you don't understand what I am saying look at the following:-

9
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See the pattern? In the tens place you need to add 1 and in the tens place you need to subtract by 1.

Hope I helped ya!! xD

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