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Talja [164]
3 years ago
12

Use the table to identify the values of pand q that should be used to factor x2

Mathematics
1 answer:
lianna [129]3 years ago
5 0

Answer:

A

p = -5 and q = 2 or p = 2 and q = -5

Step-by-step explanation:

Technically, you don't need the table to help you out here. If you solely just factor out x²-3x-10, you would get (x-5)(x+2). So one variable would always have to be -5 and the other variable would always have to be 2.

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Answer:

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Step-by-step explanation:

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8 0
2 years ago
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If M is between S and T, SM = 9x - 8,<br> MT = 2x + 3, and ST = 72. Find x.
kolezko [41]

Answer:

7

Step-by-step explanation:

Since, M is between S and T.

Therefore, SM + MT = ST

9x- 8 + 2x + 3 = 72

11x - 5 = 72

11x = 72 + 5

11x = 77

x = 77/11

x = 7

3 0
3 years ago
Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$
solniwko [45]

Rewrite the expression  6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

The ratio of \frac{q}{p}  = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form ax^{2} + bx + c to the vertex form

a(x - h)^{2} + k. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)^{2} + n, such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

=  $6(j^2 - \frac{2}{3} j )+12$

= $6(j^2 - \frac{2}{3} j  +  \frac{1}{9}  )+\frac{102}{9}                   (Completing Square method)

=6( j- \frac{1}{3} )^{2}  +  \frac{34}{3}

On comparing with the given equation we get

p = - \frac{1}{3}     and q = \frac{34}{3}

∴ \frac{q}{p} = \frac{\frac{34}{3} }{\frac{-1}{3} }

= - 34

Learn more about completing the square method here :

brainly.com/question/26107616

#SPJ4

7 0
2 years ago
I need a answer to the picture provided by me.
Zepler [3.9K]

Answer:

the first one is -(25/2) OR -12.5

THE Second one is -(125/8) or -15.625

3 0
3 years ago
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A survey found that women's heights are normally distributed with mean 62.8 inches and standard deviation of 2.5 inches. This su
Jet001 [13]
<span>a) 

Z*_Upper = (76 - 62.7)/2.5 = 5.32

Z*_Lower = (57 - 62.7)/2.5 = -2.28 

The requirement is to get p(-2.28 < Z < 5.32) = p(Z<5.32) - p(Z<-2.28). 

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The other questions are now easy for you to answer on your own. Hope it helps.

</span>
4 0
3 years ago
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