8x^3a^2+8x^2a^3 Find the greatest common factor

Paha777 [63]

Answer:

The answer is B.

Step-by-step explanation:

From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.

8 0

2 years ago

Benito spent $1691 to operate his car last year. Some of these expenses are listed below. Benito's only other expense was for ga

ryzh [129]

D . it doesn't say how much he spent on gas

5 0

2 years ago

Read 2 more answers

A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per

Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by $h(t) = -16\cdot t^{2}+12\cdot t +10$ , where $h(t)$ is the height in feet and $t$ , the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

$-16\cdot t^{2}+12\cdot t +10 = 10$

$-16\cdot t^{2}+12\cdot t = 0$

Then, we simplify the expression by algebraic means:

$-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0$

Roots of the polynomial are, respectively:

$t = 0\,s\,\lor \,t = 0.75\,s$

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

5 0

2 years ago

If f(x)=7x-7 what is f(8)+f(4)

NARA [144]

Given Function is

f ( x ) = 7x - 7 ------- eqn ( 1 )

Now , put the value of x = 8 in eqn ( 1 )

f ( 8 ) = 7 ( 8 ) - 7
f ( 8 ) = 56 - 7
f ( 8 ) = 49 ------- eqn ( 2 )

Now , put the value of x = 4 in eqn ( 1 )

f ( 4 ) = 7 ( 4 ) - 7
f ( 4 ) = 28 - 7
f ( 4 ) = 21 ------- eqn ( 3 )

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From eqn ( 2 ) nd eqn ( 3 ) we get,

f ( 8 ) + f ( 4 )
49 + 21
70

Hope Helps! :)

7 0

2 years ago

The rectangular coordinates of a point are given. Find the polar coordinates (r,theta) of this point with theta expressed in r

alexandr402 [8]

Answer:}

In polar coordinates P is

P ( 12 ; 2.618 )

Step-by-step explanation:

The point (ectangular coordinates)

P ( -6√3 ; 6 ) P ( x ; y )

Polar coordinates P ( r ; θ )

x = r cos θ

y = r sin θ r > 0 and 0 ≤ θ ≤ 2π

Then

r = √ (x)² + (y)² r = √(36)²*3 +( 36)² r = √144

r = 12 (hypothenuse module always positive)

The point P ( -6√3 ; 6 ) is in second cuadrant between 90° and 180°

angle between r and horizontal axis x is equal to θ

tan α = l.opp/ l.adj. tan θ = y/x tan θ = - 6 /6√3

tan α = - 1/√3

Then α = 180⁰ - 150⁰ = 30⁰ or θ = 150⁰

to express that value in radians we have :

1 π radian = 180⁰ ⇒ 3,1416 radians = 180⁰

x ?? = 150⁰

x = radians

Finally the point is P ( 12 ; 2.618 )

6 0

2 years ago