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2 years ago

Find the slope of the line through each pair of units (6,2), (0, -4)

Mathematics

1 answer:

deff fn [24]2 years ago

8 0

Slope equals change in y over change in x, which is rise over run.

-4-2/0-6
-6/-6
1

Final answer: 1

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Differentiate Functions of Other Bases In Exercise, find the derivative of the function.

WARRIOR [948]

Answer:

$\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}$

Step-by-step explanation:

given

$y = \log_{10}{(x^2+6x)}$

using the property of log $\log_ab=\frac{log_cb}{log_ca}$ , and if c = $e$ , $\log_ab=\frac{ln{b}}{ln{a}}$ , we can rewrite our function as:

$y = \dfrac{\ln{\left (x^{2} + 6 x \right )}}{\ln{\left (10 \right )}}$

now we can easily differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{d}{dx}(\ln{(x^{2} + 6x)})\right)$

$\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{2x+6}{x^{2} + 6x}\right)$

$\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}$

This is our answer!

3 0

2 years ago

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What is the slope of a line passing through (-3,-4) and (3,4)

svp [43]

Answer:

4/3

Step-by-step explanation:

you use slope formula

8 0

2 years ago

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Use the Remainder Theorem to find the remainder for (2x^3-3x^2+6)/(x-1) and state whether or not the binomial is a factor of the

Bezzdna [24]

Answer:

Remainder= 5, and the binomial $(x-1)$ is not a factor of the given polynomial.

Step-by-step explanation:

Given polynomial is $(2x^3-3x^2+6)$ , we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.

Remainder theorem says if $(x-a)$ is a factor then remiander would be $f(a)$

Therefore for $(x-1), \ {we find}\ f(1)}$

$f(1)=(2\times 1^3-3\times1^2+6)\\1^3 =1\\1^2=1\\Substituting \ this \ above\\f(1)= (2-3+6)=5$

Thus the remainder is 5 and since it is not 0 , so the binomial $(x-1)$ is not a factor of the given polynomial.

6 0

2 years ago

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Please help me with number 6

Genrish500 [490]

30=(10*3*x)/2
*2 *2
60=10*3*x
60=30x
60/30=30x/30
2=x

7 0

3 years ago

Math questions! Please help?

vekshin1

Hello there.

What is the volume of the given prism?

9.4 * 5.4 * 11.7=<span>593.892
</span>
Round to the nearest tenth of a centimeter

Based off that,

Answer: 593.9.
Second Option.

7 0

3 years ago

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