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2 years ago

Factor completely. 3x^2 −147=

Mathematics

1 answer:

erica [24]2 years ago

5 0

Answer:

$3(x - 7)(x+7)$

Step-by-step explanation:

To factor this, you must first take out the GCF (Greatest Common Factor), that $3x^2$ and -147 both have. The terms only have 3 in common, which can be divided with

$3x^2 - 147\\3(x^2 - 49)$

However, we're still not done since 49 is a perfect square and $(x^2 - 49)$ can be split into 2, like so:

$3(x - 7)(x+7)$

If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.

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Find out the answers to this

meriva

Answer:

$\tan \theta = - \frac{1}{5} = - 0.2$

$\cos \theta = 0.98$

$\sin \theta = - 0.196$

Step-by-step explanation:

It is given that $\cot \theta = - 5$ and $\theta$ is in the fourth quadrant.

So, only $\cos \theta$ will have positive value and $\sin \theta$ , $\tan \theta$ will have negative value.

Now, $\cot \theta = - 5$

⇒ $\tan \theta = \frac{1}{\cot \theta} = -\frac{1}{5}$ (Answer)

We know, that $\sec^{2} \theta - \tan^{2} \theta = 1$

⇒ $\sec \theta = \sqrt{1 + \tan^{2} \theta } = \sqrt{1 + (- \frac{1}{5} )^{2} } = 1.019$

{Since, $\cos \theta$ is positive then $\sec \theta$ will also be positive}

⇒ $\cos \theta = \frac{1}{\sec \theta} = \frac{1}{1.0198} = 0.98$ (Answer)

We know, that $\csc^{2} \theta - \cot^{2} \theta = 1$

⇒ $\csc \theta = - \sqrt{1 + \cot^{2} \theta } = - \sqrt{1 + (- 5 )^{2} } = - 5.099$

{Since, $\sin \theta$ is negative then $\csc \theta$ will also be negative}

⇒ $\sin \theta = \frac{1}{\csc \theta} = \frac{1}{- 5.099} = - 0.196$ (Answer)

4 0

3 years ago

Someone help pls:( !!!!!!!!!!

lesantik [10]

Answer:

Multiply both sides by -2 and reverse the inequality symbol

Step-by-step explanation:

since it is division you want to make it multiplication so that you can get the answer easier

-1/2w<12

it cancels out the -1/2 than just multiply 12 and -2 you get -24

w > -24

8 0

2 years ago

4% of 73 is what? how would u solve that ima lil slow?

Svetradugi [14.3K]

Answer:

2.92

Step-by-step explanation:

4 percent *73 =

(4:100)*73 =

(4*73):100 =

292:100 = 2.92

5 0

2 years ago

The regression equation Credits = 17.9 − 0.09 Work was estimated from a sample of 21 statistics students. Credits is the number

Readme [11.4K]

Answer:

Step-by-step explanation:

Hello!

Given the regression equation

Credit= 17.9 - 0.09 Work

That was estimated from a sample of n= 21 statistic students.

Y: number of college credits taken

X: number of hours worked per week at an outside job

The estimation for the slope is -0.09

As you see the estimated slope is negative, this means that the association between the two variables is indirect or inverse. Meaning, when the number of Work increases, the number of Credit decreases. (negative regression)

The correct option is: "An increase in the number of hours worked per week decreases the expected number of credits."

The estimation for the intercept is 17.9

In general, the intercept is the estimated average of Y when X=0. You can interpret the intercept of this equation as "the value of Credits earned by a student that does not work outside of school"

The correct option is: " The intercept is meaningful as a student may not have a job outside of school. "

If Work=0, then Credit= 17.9 (As explained in item b)

By replacing the value in the equation: Credit= 17.9 - 0.09 * 0= 17.9

If Work=60, you replace it in the equation and:

Credit= 17.9 - 0.09 Work= 17.9-0.09*60= 12.5

If the student works 60 hs outside of school it is expected that he takes 12.5 college credits.

I hope this helps!

4 0

3 years ago

How do I do this? I don’t understand

Ganezh [65]

You have to input the 5 into the x place. so it would be y=3(5) and you get the answer y=15

5 0

3 years ago

Read 2 more answers