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Anvisha [2.4K]
3 years ago
8

What is the factorization of the expression below? 9x² - 49

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
3 0

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

You can distribute these values to give you 9x^2 minus 49. For future reference, when you have no terms including x to the first power the basic numbers in the factored equation (in this case -7 and 7) will be identical with one of them negative in order to cancel this piece out

nasty-shy [4]3 years ago
3 0

Answer:

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

Step-by-step explanation:

9x² - 49

(3x)² - (7)²

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

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Rewrite the equation in Ax+By=C form
Ksju [112]

Ax + By = C form of the given equation is –6x + y = –28.

Solution:

Given equation is y – 2 = 6(x – 5).

To write the equation in Ax + By = C format:

y – 2 = 6(x – 5)

y – 2 = 6x – 30

Add 2 on both sides of the equation.

y – 2 + 2 = 6x – 30 + 2

y = 6x – 28

Subtract 6x from both sides of the equation.

y – 6x = 6x – 28 – 6x

y – 6x = –28

Arrange the terms in the equation.

–6x + y = –28

This is in the form of Ax + By = C.

Here A = –6, B = 1 and C = –28.

3 0
3 years ago
A researcher is going to estimate the average typing speed of students of a college. He selects a random sample of 20 students a
Stella [2.4K]

Answer:

The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7291

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have s = 5, n = 20. So

M = T\frac{s}{\sqrt{n}}

M = 1.7291\frac{5}{\sqrt{20}}

M = 1.933

The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.

8 0
3 years ago
Hi guys it me from earlier my device kicked me out <br> what is an intiger?
Darya [45]

Answer: here it is!

Step-by-step explanation :

peter griffin is in fortnight thats the answer we all need

7 0
2 years ago
Read 2 more answers
Please help, thanks!
Mamont248 [21]
((-4x^3)(y^4))^-3
--------------------------
(2xy^4)^-4
16x^4y^16
=------------------------
-64x^9y^12
-16y^4
=------------------------
64x^5
-y
=------------------------
4x^5

So the final answer is:

-y^4
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4x^5

(Btw if "^" is in front of a number, that means it is an exponent, so when your writing this on paper, just write it as a regular exponent without the "^". I had to do that since I'm on a computer.)  

Hopefully this was helpful in some way. 

7 0
3 years ago
I bought 10 1/4 yards of ribbon. I used 7 3/4 yards of ribbon on a project
viva [34]
I think you would have 3 1/2 yards left (3 2/4 simplified)
3 0
3 years ago
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