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Sergeeva-Olga [200]
2 years ago
10

Factored form x^2 - 4x - 21?

Mathematics
1 answer:
babunello [35]2 years ago
4 0

ANSWERS:

2

−

4

−

2

1

x^{2}-4x-21

x2−4x−21

Grouping

1

Use the sum-product pattern

2

−

4

−

2

1

x^{2}{\color{#c92786}{-4x}}-21

x2−4x−21

2

+

3

−

7

−

2

1

x^{2}+{\color{#c92786}{3x}}{\color{#c92786}{-7x}}-21

x2+3x−7x−21

2

Common factor from the two pairs

3

Rewrite in factored form

Solution

(

−

7

)

(

+

3

)

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Darnelle drew this figure and the accompanying equations.
kondor19780726 [428]

Answer:

Option D. w + x = z

Step-by-step explanation:

see the attached figure to better understand the problem

we have

w+x+y=180 ----> equation A

y+z=180 ----> equation B

equate equation A and equation B

w+x+y=y+z

Subtract y both sides

w+x=z

This equation satisfy the <em><u>Triangle Exterior Angle Theorem</u></em> (An exterior angle of a triangle is equal to the sum of the opposite interior angles)

4 0
2 years ago
Directions: Calculate the percent increase or decrease between the starting and ending
Sveta_85 [38]

I'll do the first two to get you started

===============================================

Problem 1

A = 3 = starting value

B = 10 = ending value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (10-3)/3 ] * 100%

C = (7/3) * 100%

C = 2.3333333 * 100%

C = 233.33333%

C = 233.3%

The positive C value means we have a percent increase. If C was negative, then we'd have a percent decrease.

<h3>Answer: 233.3% increase</h3>

===============================================

Problem 2

A = 9 = start value

B = 20 = end value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (20-9)/9 ] * 100%

C = (11/9)*100%

C = 1.2222222222*100%

C = 122.22222222%

C = 122.2%

<h3>Answer: 122.2% increase</h3>
7 0
3 years ago
Read 2 more answers
Can someone help me with this?
Mandarinka [93]

Answer:

Step-by-step explanation:

Area of rectangle = length * width

                             = (x + 4) (5x)

                             = x *5x + 4 *5x

                            = 5x² + 20x

Perimeter of rectangle = 2*(length + width)

                                     = 2*(x + 4 + 5x)

                                     = 2*(6x + 4)

                                   = 2*6x + 2 *4

                                     = 12x + 8

4 0
3 years ago
Tell whether the statement is always, sometimes, or never true. The LCM of two different prime numbers is their product.
Blizzard [7]

Answer:

Step-by-step explanation:The LCM of two or more prime numbers is equal to their product. ... Assume two prime numbers as two different variables and find their LCM using prime factorization of both the numbers.

3 0
2 years ago
An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 we
aleksandr82 [10.1K]

Answer:

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.

State the hypotheses.

State the critical value(s).

State the test statistics.

State the decision

State the conclusion.

3 0
2 years ago
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