3x^2-5/3x-1 - 2x^2-3x-2/3x-1

Answers

Answer 1

Answer:

Answer:

−

Step-by-step explanation:

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Find the solution of cos^2xsinx-3sinx=0

Answers

$\cos^2 x\sin x-3\sin x=0\n\n \sin x\cdot (\cos^2 x-3)=0\n\n \begin{array}{rcl} \sin x=0&~\text{ or }~&\cos^2 x - 3=0\n\n \sin x=0&~\text{ or }~&\cos^2 x=3\n\n \sin x=0&~\text{ or }~&\cos x=\pm √(3) \end{array}$

Since $|\cos x|\le 1,$ the 2nd equation has no solutions for x. So

$\sin x=0\n\n x=k\pi~~~~\text{where }k\text{ is an integer.}$

Solution: $S=\{x:~x=k\pi,~k\in\mathbb{Z}\}$

Write the equation of the function g(x) if g(x) = f(x+2) +4 and f(x) = x^3 -7

Answers

f(x) = x³ - 7
f(x + 2) = (x + 2)³ - 7
f(x + 2) = (x + 2)(x + 2)(x + 2) - 7
f(x + 2) = (x(x + 2) + 2(x + 2))(x + 2) - 7
f(x + 2) = (x(x) + x(2) + 2(x) + 2(2))(x + 2) - 7
f(x + 2) = (x² + 2x + 2x + 4)(x + 2) - 7
f(x + 2) = (x² + 4x + 4)(x + 2) - 7
f(x + 2) = (x²(x + 2) + 4x(x + 2) + 4(x + 2)) - 7
f(x + 2) = (x²(x) + x²(2) + 4x(x) + 4x(2) + 4(x) + 4(2)) - 7
f(x + 2) = (x³ + 2x² + 4x² + 8x + 4x + 8) - 7
f(x + 2) = (x³ + 6x² + 12x + 8) - 7
f(x + 2) = x³ + 6x² + 12x + 8 - 7
f(x + 2) = x³ + 6x² + 12x + 1

g(x) = f(x + 2) + 4
g(x) = (x³ + 6x² + 12x + 1) + 4
g(x) = x³ + 6x² + 12x + 1 + 4
g(x) = x³ + 6x² + 12x + 5

Simplify.5y(4x - 3z)

20xy - 3z
4x - 15yz
20xy - 15yz
54xy - 53yz

Answers

Answer:

20xy-15yz

Step-by-step explanation:

What effect does the following line have on the poem?the wheat waved and wilted under the wind

a. It creates a sense of being stuck in a box.
b. It imitates the whirring sound of the wind.
c. It compares wind to wheat.
d. It shows the difference between wheat and a flower that wilts.

Answers

I think it would be b. You should double check though

Answer:

it is b

Step-by-step explanation:

i went to study island and got it right

What is the equation of the line through point (1, 5) and perpendicular to a line with a slope of 2/5?

Answers

Point slope formula is
y-y1=m(x-x1)
points are (x1,y1) (1,5) m=2/5
y-5=2/5(x-1)

Which is a complete list of factors of each term in the expression 15 + 20x?

Answers

Answer:

Step-by-step explanation:

Our term is 15+20x

we can divide it to : 15 and 20x

15 : it can be divided by 1 , 3 , 5 , 15

so the factors are : (1,3,5,15)

20x : to make it easy start with 20

20 can be divided by : 1 , 2 , 4 ,5 ,10 , 20

then add x :

so the factors of 20 x are :

1 , 2 , 4 , 10 , 20 , x , 2x , 4x , 5x , 10 x , 20x

Answer:

15: 1, 3, 5, 15

20x: 1, 2, 4, 5, 10, 20, x ^_^

Step-by-step explanation:

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M(5, 7) is the midpoint of RS. The coordinates of S are (6, 9). What are the coordinates of R?