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Molodets [167]
3 years ago
6

Factor with steps please!!!

Mathematics
1 answer:
myrzilka [38]3 years ago
4 0

So you want to find two numbers that add up to -13 and multiply to 40. You can find the factors of 40 and find the pair that adds up to -13. -8 and -5 multiply to 40 and add up to -13.

<span><span>(x−5)</span><span>(x−8)</span>=<span>x2</span>−13x+40</span>

You can use foil to test it

<span><span>x2</span>+<span>(−8x)</span>+<span>(−5x)</span>+40=<span>x2</span>−13x+40</span>

<span><span>x2</span>−13x+40=<span>x2</span>−13x+</span>
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steve made a mistake in writing a two step equation. Instead of multiplying by 3 and adding 7, he multiplied by 7 and added 3 to
rjkz [21]

Answer:

The correct answer of the problem is 1.

Step-by-step explanation:

Let the original number on which the wrong procedure is applied is x.

Now, Steve multiplied by 7 and then added 3 to get the answer of - 11.

So, 7x + 3 = - 11

⇒ 7x = - 14

⇒ x = - 2

Now, the correct step to get the answer is multiplying by 3 and adding 7.

Hence, the correct answer of the problem is (- 2) × 3 + 7 = - 6 + 7 = 1 (Answer)

8 0
4 years ago
What are the values of x in the equation x2 - 6x + 9 = 25?
hjlf

Answer:

x= -2 or x= 8

Step-by-step explanation:

x^{2} - 6x + 9 = 25

First step, move 25 to the left side so we can do the Quadratic Formula (or you can factor instead.)

x^{2} -6x + 9 - 25 = 0

Next, we know that 9-25 equals -16.

x^{2} - 6x - 16 = 0

Now find that what two numbers multiply and get 16: 2×8 4×4 and 16×1.

Now we do some kind of factoring. The most valuable number must be negative since -6x is negative.

Let's explain about factoring in Quadratic a little bit.

Substitue x²-6x-16 as ax²+bx+c=0

From (ax+d)(bx+c), if we multiply ax and bx, we get the ax²

If we multiply ax and c, we get acx and we multiply d and bx, we get dbx. (axc+bdx) = bx

If we multiply d and c, we get c.

From the factor lf 16, 2×8 seems to be right since -8+2 equals -6 which matches the equation.

Then we get.

(x - 8)(x  + 2) = 0

Seperate both equations.

x - 8 = 0 \\ x + 2 = 0

Find the value of both x.

x = 8 \\ x =  - 2

The answer is x = -2, 8

(The explanation might be weird since I don't know what they are called in English.)

3 0
4 years ago
Read 2 more answers
Can someone help me with this?
Grace [21]
R: -4,-3
S: -3,1
T: 1,-2
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3 years ago
Which expression is equivalent to sec^2x − 1? a. cot2x b. tan2x c. csc2x d. cos2x
Nesterboy [21]
Sec^2 x - 1 = tan^2x

Proof:
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<span>1/cos^2x - sin^2x/cos^2x = 1
</span>Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting : 
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3 years ago
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I believe its B
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