MATHEMATICS HIGH SCHOOL

Arrange the steps from start to finish to factor this expression using the grouping method.x2 − 5x − 24
Tiles
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1. (x − 3)(x + 8)
2. (x2 + 3x) + (-8x − 24)
3. x2 + 3x − 8x − 24
4. (x + 3)(x − 8)
5. x2 − 3x + 8x − 24
6. x(x + 3) − 8(x + 3)
Sequence

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Answers

Answer 1

Answer:

Answer:

(x + 3)(x - 8)

Step-by-step explanation:

x² - 5x - 24

consider factors of constant term (- 24) which sum to give the coefficient of the x- term (- 5)

the factors are + 3 and - 8

use these factors to split the x- term

= x² + 3x - 8x - 24 ( factor the first/second and third/fourth terms )

= x(x + 3) - 8(x + 3) ← factor out (x + 3) from each term

= (x + 3)(x - 8) ← in factored form

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What types of units perimeter have

Answers

Perimeter is the distance all the way around something. It has units of length or distance, like inches, meters, or miles.

Solve
1/2x+5=15
Help please

Answers

Hello! :)

1/2x + 5 = 15

1/5x + 5 - 5 = 15 - 5 Subtract 5 from both sides

1/2x = 10

2 * (1/2x) = (2) * (10) Multiply both of the sides by 2

x = 20

Hope this answer helped you!

THEDIPER

Answer:

x = 20

Step-by-step explanation:

1/2 x 20/1 = 20/2 = 10

10 + 5 = 15

Hope this helps.

Which two numbers add up to 6 and muliply to -126

Answers

xy=-126
x+y=6
minus x

y=6-x
sub
x(6-x)=-126
6x-x^2=-126
minus (6x-x^2) both sides
0=x^2-6x-126

in form
ax^2+bx+c=0
x= $\frac{ -b+/-\sqrt{b^(2)-4ac} }{2a}$

a=1
b=-6
c=-126

x= $\frac{ -(-6)+/-\sqrt{(-6)^(2)-4(1)(-126)} }{2(1)}$
x= $( 6+/-√(36+504) )/(2)$
x= $( 6+/-√(540) )/(2)$
x= $( 6+/-6√(150) )/(2)$
x= $3+/-3√(150)$

the numbers are
$3+3√(150)$ and $3-3√(150)$

Eight times the difference of a number and seventeen is thirty"?

Answers

Let the number be y;
8*(17-y)=30
8*17-8y=30
136-8y=30
-8y=30-136
-8y=-106
y=-106/=8
y=53/4

difference of a number and 17: x - 17
eight times that = 8(x - 17)
8(x - 17) = 30

divide both sides by 8
x - 17 = 30/8

x = 30/8 + 17 which is 20.75

the product of two integers is -21. the diference between the two integers is -10. the sum of the two integers is 4. what are the two integers

Answers

it would be 7 and -3
7 x -3 = -21
difference = -10
the sum = 4

hope this helps you

The two integers are -3 and 7.

Need help with this problem

Answers

All angles of a triangle have to equal 180 degrees. The top and bottom triangle are the same. So the first angle tells you 32 degrees. The second one has a little square which means 90 degrees. So 180 - 32 - 90 = 58.
So the angle A is 58. Since the top triangle and bottom triangle have the same angle measurement then angle C = 58 degrees.

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