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3 years ago

Apply the distributive property to factor out the greatest common factor of all three terms. 24c + 36d + 18 =

Mathematics

2 answers:

olchik [2.2K]3 years ago

7 0

Answer:

$24c + 36d + 18$ $= 6(4c + 6d+3)$

Step-by-step explanation:

Given

$24c + 36d + 18$

Required

Factorize

$24c + 36d + 18$

Expand each term

$6*4c + 6 *6d+6 *3$

Factor 6 out of the expression

$6(4c + 6d+3)$

Hence:

$24c + 36d + 18$ $= 6(4c + 6d+3)$

Andreyy893 years ago

6 0

Answer:

6(4c+6d+3)

Step-by-step explanation:

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How many times larger is 9 x 10-8 than 3 x 10-12?

shusha [124]

9x10-8 is about 4.5 times larger than 3x10-12

First solve the equations

9*10-8
90-8
(82)

3*10-12
30-12
(18)

Divide 82/18= 4.5

4 0

3 years ago

Rewrite the equation in slope intercept form<br> 3y - 8x = -9

Nesterboy [21]

Answer:

y = (8/3)x - 3

Step-by-step explanation:

To get to slope intercept, just solve for y

3y - 8x = -9

3y = -9 + 8x

y = (-9 + 8x)/3

y = -9/3 + 8x/3 (distribute the 3 so we can reach the right form)

y = -3 + 8/3(x)

finally write in slope intercept form:

y = (8/3)x - 3

8 0

3 years ago

Test the claim that the proportion of people who own cats is significantly different than 90% at the 0.1 significance level.

miss Akunina [59]

Answer:

The right answer is Option B:

$H_0: \pi=0.9\\\\H_1: \pi\neq0.9$

Step-by-step explanation:

In this case we have to perform a hypothesis test on the proportion of the people owning cats.

The claim is that the proportion is significantly different than 905, what means it can be greater or smaller than 90% to reject the null hypothesis. Because of that, the null hypothesis has to state an equality (H0:p=0.9).

The right answer is Option B:

$H_0: \pi=0.9\\\\H_1: \pi\neq0.9$

4 0

3 years ago

What are the solutions to the quadratic equation (5y+6)2=24

yulyashka [42]

The value of y is, $y=\frac{2\sqrt{6}-6}{5},\:y=\frac{-2\sqrt{6}-6}{5}$

We have given that,

$\left(5y+6\right)^2=24$

We have to determine the value of y,

<h3>What is the formula for the quadratic equation?</h3>

$\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$