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damaskus [11]
3 years ago
14

Question 4(Multiple Choice Worth 1 points) (07.04 LC) Factor completely 49x2 − 9. (7x + 3)(7x − 3) (7x + 3)(x − 3) (7x − 3)(7x −

3) (7x − 3)(x − 3)
Mathematics
2 answers:
lana66690 [7]3 years ago
8 0

Answer:

the answer to this is

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

49x^2-21x+21x-9

49x^2-9

Step-by-step explanation:

scoundrel [369]3 years ago
6 0

Answer:

A

Step-by-step explanation:

We take a look at this expression: 49x^2-9 and notice that both terms are square numbers. 49x^2=(7x)^2 and 9=3^2.

There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares a^2-b^2, it can always be factored into (a+b)(a-b).

Here, we can apply that. In this case, a = 7x and b = 3. So:

49x^2-9=(7x)^2-3^2=(7x+3)(7x-3)

Thus, the answer is A.

Hope this helps!

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A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?
seraphim [82]

Answer:

P\left(E\right)=\frac{55}{1024}

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

nCr=\frac{n!}{r!\left(n-r\right)!}

Plug in n = 12 and r = 9

       =\frac{12!}{9!\left(12-9\right)!}

       =\frac{12!}{9!\cdot \:3!}

       =\frac{12\cdot \:11\cdot \:10}{3!}            ∵ \frac{12!}{9!}=12\cdot \:11\cdot \:10

       =\frac{1320}{6}                   ∵ 3!\:=\:3\times 2\times 1=6

       =220

Thus, the probability will be:

P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}

         =\frac{220}{4096}

         =\frac{55}{1024}

Thus, the probability of the coin landing tails up exactly nine times will be:

P\left(E\right)=\frac{55}{1024}

4 0
3 years ago
Triangle ABC has angle measures as shown. What is the value of X? Show your calculations.
dezoksy [38]
180-96= 84
That means 8x+12=84
84-12=72
That means 8x=72
72÷8=9
therefore X=9
8 0
3 years ago
Convert to scientific notation: 0.0509.
fomenos

Answer:

5.09 × 10^-2

Step-by-step explanation:

You have to take the number go to the decimal and move it until you get to the first number and in this case, it is 5 put the decimal there. To write it you have to count the number of times you moved the decimal. when doing this it will always be a number times 10^ the number you moved the decimal.

5 0
3 years ago
I need help with this one to / surface area :)
zzz [600]

Answer:

389.9 to 1 decimal place

If you need another explanation comment on this one

5 0
3 years ago
Read 2 more answers
Use elimination to solve the system of equations given by 3x - 2y = 10 and 5x + 2y = 6​
pishuonlain [190]

Answer:

x = -2  y= -8 and 8

Step-by-step explanation:

Since there is an equal number of y's, they cancel out when subtracting. You can put either equation on top. You will get same answer.

<u>To find x:</u>

<u>If you do (3x - 2y = 10) - (5x + 2y = 6​),</u> you will get -2x=4. Divide both sides by -2, and get x = -2.

<u>If you do (5x + 2y = 6​) - (3x - 2y = 10)</u>, you will get 2x=-4.Divide both sides by 2, and get x = -2.

<u>To find y:</u>

Substitute -2 for x in either equation. It doesn't matter.

<u>For 3(-2) - 2y = 10:</u>

3(-2) - 2y = 10 ––Multiply

-6 - 2y =10 ––Add 6 to both sides to get y alone

-2y = 16 ––Divide by -2

y = -8

<u>For 5x + 2y = 6​:</u>

5(-2) + 2y = 6​ ––Multiply

-10 + 2y = 6 ––Add 10 to both sides to get y alone

2y = 16 ––Divide by 2

y = 8

 

6 0
3 years ago
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