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3 years ago

Simplify.

Mathematics

1 answer:

Minchanka [31]3 years ago

7 0

B.)8a^3+2a^2b-36ab-9b^2

(2a^2-9b)(4a+b)

Use the distributive property of multiplication.

4a(2a^2-9b)+b(2a^2-9b)

Expand.

8a^3-36ab+2a^2b-9b^2

Put in neater order, so that powers are consecutive (i.e putting x^2 after x^3)

8a^3+2a^2b-36ab-9b^2

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Please help I will reward brainly

krok68 [10]

Hi there!

Since the sum of all angles in any triangle always adds up to 180 degrees, we can calculate this and solve for x.

4x + x + x = 180°
6x = 180
180 ÷ 6 = x
x = 30

So, now we know that x is 30°.

Hope this helps!

7 0

3 years ago

A pair of shoe is on sale its original price is $150 and it is markdown by 28% find its retail price

Aleks [24]

Its marked down $42. The SALE price is $108.00

150*.28=42
150-42=108

3 0

3 years ago

En términos de π , ¿cuál es el volumen de la esfera?

vladimir1956 [14]

Answer:

Volumen de una fórmula de esfera. El volumen de una esfera es de 4/3 x x (diámetro / 2) 3, donde (diámetro / 2) es el radio de la esfera (d á 2 x r)

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4 years ago

Read 2 more answers

The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollar

Virty [35]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Let

x ----> is the number of tires produced, in thousands

C(x) ---> the production cost, in thousands of dollars

we have

$C(x)=-0.34x^{2} +12x+62$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

For the interval [0,1.12) -----> $0\leq x$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> $34.18 < x\leq 39.87$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

Remember that the variable x (number of tires) cannot be a negative number

therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

7 0

3 years ago

How many years will it take for a sum of money to double at 10% compounded annually

Bond [772]

Answer:

t=7.27 years

Step-by-step explanation:

Let the money be p and t will be the number of years that will be needed for the money to get double.

ATQ, 2p=p*(1+0.1)^t

2=(1.1)^t

log(2)/log(1.1)=t, t=7.27

5 0

3 years ago