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4 years ago

Simplify the expression 4(x − 5)(x2 + x + 2).

Mathematics

1 answer:

N76 [4]4 years ago

3 0

Answer:

4x^3 − 16x^2 − 12x − 40

Step-by-step explanation:

= 4(x)(x^2 +x +2) +4(-5)(x^2 +x +2) . . . use the distributive property

= 4x^3 +4x^2 +8x -20x^2 -20x -40 . . . . and again

= 4x^3 -16x^2 -12x -40

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Plz help with this question

Dennis_Churaev [7]

Answer:

y = -2x+4

Step-by-step explanation:

the equation of the line there is: y = -2x+8

The parallel line to this one should have the same slope as the first one(-2x)

Parallel lines always have the same slopes

7 0

3 years ago

the arlington drama club is selling tickets to an upcoming play. They can sell at most 250 tickets. The adult tickets for $15 ea

allochka39001 [22]

Number of adult tickets = 75

Number of student tickets = 175

Solution:

Let x represents the number of adult tickets and

y represents the number of student tickets.

Total number of tickets sold = 250

⇒ x + y = 250 – – – – (1)

Cost of adult ticket = $15

Cost of student ticket = $5

Total cost of collection = $2000

15x + 5y = 2000 – – – – (2)

Multiply equation (1) by 5

⇒ (1) × 5 5x + 5y = 1250 – – – – (3)

Subtract equation (3) from equation (2), we get

15x + 5y – 5x – 5y = 2000 – 1250

⇒ 10x = 750

⇒ x = 75

Substitute x = 75 in equation (1), we get

⇒ 75 + y = 250

⇒ y = 250 – 75

⇒ y = 175

Number of adult tickets = 75

Number of student tickets = 175

6 0

3 years ago

Explain how to solve 2^x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution

elena55 [62]

Answer:

$x=2.170$

Step-by-step explanation:

The given equation is $2^{x+1}=9$ .

We take logarithm of both sides to base 2 to get:

$\log_2(2^{x+1})=\log_29$

Apply the power rule of logarithms to get:

$x+1=\log_29$

We now apply the change of base formula:

$x+1=\frac{\log_{10}9}{\log_{10}2}$

$x+1=\frac{0.9542}{0.3010}$

$x+1=3.1701$

$x=3.1701-1$

$x=2.1701$

To the nearest thousandth, $x=2.170$

7 0

3 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

koban [17]

Answer:

tan∠Y = 2,14

Step-by-step explanation:

First , we need to determine XY

in order to do that we use the Pythagorean theorem :

XY = √(85^2-77^2) = 36

tan∠Y = 77/36 = 77÷36 = 2,138888888889

7 0

3 years ago

Read 2 more answers

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (fºg)(x)?

RUDIKE [14]

Answer:

(-∞, ∞)

Step-by-step explanation:

Given,

$f(x)=x^2-1 \ and\ g(x)=2x-3$

Then (fºg)(x) would be ,

$(2x-3)^2-1\\4x^2-12x+9-1\\4x^2-12x+8$

Since this is a polynomial, we know domain of a polynomial is all real number.

Therefore the domain of this (fºg)(x) is (-∞, ∞).

5 0

3 years ago