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3 years ago

Select the correct answer. Simplify the expression below. 4x(3x − 7) − 19x2 A. -7x2 − 7 B. -35x2 C. -7x2 − 28x D. -31x2 − 28x

Mathematics

1 answer:

morpeh [17]3 years ago

5 0

Answer:

$C. -7x^2-28x$

Step-by-step explanation:

The given expression is $4x(3x-7)-19x^2$

We apply the distributive property to expand the parenthesis

$12x^2-28x-19x^2$

Regroup similar terms to get:

$12x^2-19x^2-28x$

Combine the similar terms to obtain:

$-7x^2-28x$

The correct option is C.

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A manufactured product has a length that is normally distributed with a mean of 12 cm. The product will be unusable if the lengt

Sav [38]

Answer:

a) σ = 0,1612

b) P [ 11,75 < X < 12,35] = 0,92,44 or 92,44 %

Step-by-step explanation:

NOTE: I assume the unusable length s 11,5 and less

a) For a normal distribution, the probability of P = 0,01 corresponds to z(score) = -3,1 then:

- 3,1 = ( X - μ₀ ) / σ

- 3,1 = (11,5 - 12 )/ σ

-3,1 = - 0,5 / σ

σ = 0,1612

b) If σ = 0,1612

P [ 11,75 < X < 12,35]

z₁ (score) = ( 11,75 - 12 ) / 0,1612

z₁ = - 0,25/ 0,1612

z₁ = -1,55

From z table P [ 11,75 < X] = 0,0606

z₂ (score) = ( 12,35 - 12) / 0,1612

z₂ = 0,35 / 01612

z₂ = 2,17

From z table P [ X < 12,35] = 0,9850

Finally P [ 11,75 < X < 12,35] = 0,9850 - 0,0606

P [ 11,75 < X < 12,35] = 0,92,44 or 92,44 %

5 0

3 years ago

Which of the following is a monomial?

KatRina [158]

The definition of monomial is an algebraic expression consisting of one term.

a. 2xyz² is monomial.

b. 2x - yz is considered a binomial. (2 terms)

c. 2x + yz is considered a binomial. (2 terms)

d. 2 + xyz is also considered a binomial. (2 terms)

so the right answer is A.

hope this helped, God bless!

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3 years ago

A chef used 1/9 of a bag of potatoes for a meal. If the potatoes fed 5 people. What fraction of the bag did each person get

tangare [24]

1/9 has to be divided by 5 if it is shared by others.

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Answer is 1/45

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3 years ago

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bagirrra123 [75]

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2 years ago

Read 2 more answers

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KIM [24]

Answer:

1. 10

2. 12

3. Sqrt 130

4. Sqrt 45

Step-by-step explanation:

To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is $a^2+b^2=c^2$ where a and b are the legs with a being the smallest and c is the hypotenuse.