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3 years ago

(16x3 + 40x2 + 72) (2x + 6)

1 answer:

Volgvan3 years ago

8 0

$(16x^3+40x^2+72)(2x+6)=32x^4+96x^3+80x^3+240x^2+144x+432=32x^4+176x^3+240x^2+144x+432$

In this case, you have to multiply each term of one parenthesis by each term in the second bracket. After receiving a number of factors need to be segregated and placed in the correct order.

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Devon has $45 in his savings account. which equation can be used to determine how much devon needs to save in order to have $315

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<span>He has 45 dollars. He needs 315 dollars in order for him to have 315 dollars he would to need to save what? Then take 315-45= 270 dollars. Therefore he would need to save 270 dollars.

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Search for questions & chapters

Class 11

>>Maths

>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

Question

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Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

Medium

Solution

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We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

2π

or x=

6n±2

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

4 0

2 years ago

You have just timed a person doing a hair cut for the first time. It took 50 minutes. What unit improvement factor learning curv

Sladkaya [172]

Answer: C. 70 percent

Step-by-step explanation:

Given, Time for the first unit = 50 minutes

Time for the second unit = 35 minutes

The unit improvement factor learning curve = (The time for the second unit) ÷ (time for the first unit) x 100.

So, The unit improvement factor learning curve = 35÷ 50 × 100 = 70 percent.

Hence, the correct option is "C. 70 percent".

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2 years ago

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poizon [28]

A isosceles triangle is a triangle who has two sides of the same length

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3 years ago