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2 years ago

9b^8 + 24b^3 = ? Factor the polynomial by its greatest common monomial factor

Mathematics

1 answer:

emmainna [20.7K]2 years ago

7 0

Take 3b^3 as a common factor so , 3b^3(3b^6+8)

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Factor completely 4x2 − 32.

Korvikt [17]

Answer: 4(x + 4)(x - 4)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112 feet per second. The height h

Masja [62]

Answer:

Step-by-step explanation:

a)The height h after t seconds is given by the equation h(t)=-16t^2+112t+5.

Where 5 represents 5feet above the ground and this is the height from which the rocket was launched.

The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the rocket.

The vertex of the parabola is calculated as follows,

Vertex = -b/2a

From the equation,

a = -16

b = 112

Vertex = - - 112/32= 3.5

So the rocket will attain maximum height at 3.5 seconds.

It will also take 3.5 seconds to reach the ground. This means it will take a total of 3.5 seconds + 3.5 seconds

= 7 seconds to hit the ground.

b) to find time it will take to be 100 feet above the ground,

-16t^2+112t-95 = 0

Using general quadratic equation formula,

a = -16

b = 112

c = -95

t = [-b+/-√b^2-4ac]/2a

t = [ -112 +/-√112^2-4×-16×-95]/16 × -2

= [-112 +/-√12544-6080]/-32

= (-112+80.4)/-32 or (-112-80.4)/-32

t = 0.9875 or t = 6.0125

So it will take 0.9875 or approximately 1 second to be 100 feet above the ground

7 0

2 years ago

Need help with a math probelm gvie 5 star if do

arsen [322]

Answer:

28 $units^{3}$

Step-by-step explanation:

21/2 * 8/3 = 28

3 0

1 year ago

Which sets of ordered pairs represent a function? Select all that apply.

antoniya [11.8K]

Answer:

B, C, and E

Step-by-step explanation:

In order for a function to be a function, an ordered pair cannot be on the same x coordinate

7 0

1 year ago

2. What is the value of x if the angles<br> within a triangle are 2x +1, 7x-2 and 3x<br> +5?

noname [10]

Answer:

$x=14.67\\$ °

Step-by-step explanation:

The sum of all the three angles of any triangle is 180°

Putting sum of all the angles given equals to 180°

$(2x+1)+(7x-2)+(3x+5)=$ $180$ °

$2x+7x+3x+1-2+5=180$ °

$12x+4=180$ °

$x=\frac{180-4}{12}$

$x=14.67\\$ °

The value of the x is found on solving the given angles of the triangles.

8 0

2 years ago