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lakkis [162]
3 years ago
5

Solve the equation by factoring: x^2 + 13x = -42 Show your work and check your answer.

Mathematics
2 answers:
irga5000 [103]3 years ago
5 0

Answer:

x=-6, -7

Step-by-step explanation:

x^2+13x=-42

x^2+13x-(-42)=0

x^2+13x+42=0

factor out the trinomial,

find two numbers that when they multiply,

you get the third term, which is 42 in this case.

And when you add them, you get the second term, which is 13 in this case.

(x+6)(x+7)=0

zero property

x+6=0, x+7=0,

x=0-6=-6

x=0-7=-7

dybincka [34]3 years ago
4 0

Answer:

x = - 7 or x = - 6

Step-by-step explanation:

x^2 + 13x = -42

x² + 13x + 42 = 0

The key to factorization method is to break the second term into two; whose product gives the product of the first term and the third term.

That is,

13x = (7x + 6x)

(42×x²) = (7x)(6x)

x² + 13x + 42 = 0

x² + 7x + 6x + 42 = 0

x(x + 7) + 6(x + 7) = 0

(x + 6)(x + 7) = 0

Either (x+7) = 0 or (x+6) = 0

x = - 7 or x = - 6

Hope this Helps!!!

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A certain chromosome defect occurs in only 1 in 200 adult Caucasian males. A random sample of 100 adult Caucasian males will be
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Answer:

0.005 `; 0.00499 ;

No, because np < 10 ;

2000

Step-by-step explanation:

Given that:

Number of samples , n = 100

Proportion, p = x / n

p = 1 / 200

= 0.005

p = μ

Standard deviation of sample proportion :

σp = sqrt((p(1 - p)) / n)

σp = sqrt((0.005(1 - 0.005)) / 200)

σp = sqrt((0.005(0.995)) / 200)

σp = sqrt(0.004975 / 200)

σp = sqrt(0.000024875)

σp = 0.0049874

σp = 0.00499

np = 100 * 0.005 = 0.5

n(1 - p) = 100(1-0.05) = 95

Smallest value of n for which sampling distribution is approximately normal

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To obtain the smallest value of n,

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Round 7.224 is to the nearest hundredth.
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Match each radius or diameter of a circle with its approximate circumference.
jok3333 [9.3K]

Answer:

radius: 3 units <----> Circumference: 18.84 units

Diameter: 12 units <----> Circumference: 37.68 units

Diameter: 36 units <----> Circumference: 113.04 units

Radios: 5 unites <----> Circumference: 31.4 units

Step-by-step explanation:

How I got the answers for the radiuses:

3 (this is only half the diameter so if you do 3 x 2 you will get the diameter.)

3 x 2 = 6

C = pi x d

C = 3.14 x 6

C = 18.84 [this is the first radios]

5 (this is only half the diameter so if you do 5 x 2 you will get the diameter.)

5 x 2 = 10

C = pi x d

C = 3.14 x 10

C = 31.4 [this is the second radios]

How I got the diameters:

12 (this is the full diameter so we do not have to multiply it by 2)

C = pi x d

C = 3.14 x 12

C = 37.68 [this is the first Diameter]

36 (this is the full diameter so we do not have to multiply it by 2)

C = pi x d

C = 3.14 x 36

C = 113.04 [this is the second Diameter]

Download docx
5 0
3 years ago
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