What is the product of 3x(x2 + 4)?

Answers

Answer 1

Answer:

The product of the expression {3x(x² + 4)} as (3x³ + 12x).

What is expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the expression as -

3x(x² + 4)

We can write the product as -

3x(x² + 4)

3x(x²) + 3x(4)

3x³ + 12x

Therefore, the product of the expression {3x(x² + 4)} as (3x³ + 12x).

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

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Answer 2

Answer: distributive property
a(b+c)=ab+ac
remember
(x^m)(x^n)=x^(m+n)

so

3x(x^2+4)=
(3x)(x^2)+(3x)(4)=
(3x^3)+(12x)=
3x^3+12x

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I Prove that Cos(90-θ)/1+sin(90-θ) +1+sin(90-θ) /cos(90-θ) =2

Answers

Okay,

so first you gotta know that cos(90-x) is equal to sinx and sin(90-x) is equal to cosx!!
Now all you gotta do is replace the cos(90-x) to sinx in the numerator and sin(90-x) to cosx in the denomenator inorder to make the numerator all into sin and denomenator all into cos.
After that, open up the brackets and solve...
At the end you'll hopefully get something like this :( 1+sin90 ÷ 1+cos90 )
And since sin90 is 1 (put it in the calculator!) and cos90 is 0, you'll get 2÷1 which is equals to 2!!

Hope this helped! :)

$(cos(90 - \theta))/(1 + sin(90 - \theta)) + (1 + sin(90 - \theta))/(cos(90 - \theta)) = 2$
$((cos(90 - \theta))(cos(90 - \theta)))/((1 + sin(90 - \theta))(cos(90 - \theta))) + ((1 + sin(90 - \theta))(1 + sin(90 - \theta)))/((1 + sin(90 - \theta))(cos(90 - \theta))) = 2$
$(cos^(2)(90 - \theta))/(cos(90 - \theta) + sin(90 - \theta)cos(90 - \theta)) + (1 + 2sin(90 - \theta) + sin^(2)(90 - \theta))/(cos(90 - \theta) + sin(90 - \theta)cos(90 - \theta)) = 2$
$(cos^(2)(90 - \theta) + 1 + 2sin(90 - \theta) + sin^(2)(90 - \theta))/(cos(90 - \theta) + sin(90 - \theta)) = 2$
$(1 + 1 + 2sin(90 - \theta))/(cos(90 - \theta) + sin(90 - \theta)) = 2$
$(2 + 2sin(90 - \theta))/(cos(90 - \theta) + sin(90 - \theta)) = 2$
$(2(1 + sin(90 - \theta)))/(cos(90 - \theta)(1 + sin(90 - \theta))) = 2$
$(2)/(cos(90 - \theta)) = 2$
$(2)/(cos(90)cos(\theta) + sin(90)sin(\theta)) = 2$

HELP!!!! Divide. Write your answer in lowest terms as a proper or improper fraction (not a mixed number). 11/21 divided by 22/7

Answers

My answer is 1/6. Here's How I worked it out:

11/21 / 22/7 is the same as or = to 11/21 * 7/22 which = 77/462 and then divide both the numerator and denominator by 77 and you get 1/6. (In other words simplify 77/462). Hope this helped :)

If the largest angle of a triangle is 120 degrees and it is included between sides of 1.5 and 0.5, what is the largest side of the triangle to the nearest tenth?

Answers

c²=a²+b²-2·a·b·cos(C)

c²=(1.5)² + (0.5) -2 ·(l·5) ·(0.5) ·cos(120°)

c²= 3.25

c= √3.25

c=1.802775638

To nearest tenth, c=1.8

Answer:

1.8

Step-by-step explanation:

A pole is 65 feet tall. A support wire isattached to the top of the pole and secured
to the ground 33 feet from the base of the
pole. Find the approximate length of the
wire.
A 32 feet
© 56 feet
0 60 feet
B 73 feet

Answers

Answer:

A) 35 feet

Step-by-step explanation:

If the pole is 65 feet tall

and the wire is attached to the top of it and secured 35 feet from the bottom of it. Then the wire is 65-33=32

Factor the expression y2+6y-16

Answers

(Y+8)(Y-2)

Factoring by grouping is splitting middle terms into two appropriate terms.
let us see the resulting expression below as we factor the expression -8x3-2x2-12x-3.

-8x3-2x2-12x-3
= 2x^2 ( -4x-1) 3 (-4x-1)
=(2x^2+3) (-4x-1)

the resulting expression after factoring -8x3-2x2-12x-3 by grouping is:
(2x^2+3) (-4x-1)

The method factoring by grouping is widely used by college professors, teachers, students and even textbook authors.

Factor the expression y2+6y-16

Answers

That would be (y+8) (y-2)

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