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3 years ago

Which expression represents -8x^2+54x+140 in factored form?

Mathematics

1 answer:

Elenna [48]3 years ago

7 0

Answer:

D. (x+2)(-8x+70)

Step-by-step explanation:

-8x^2+54x+140

Factor out -2

-2(4x^2+27x+70)

Factor

-2(x+2)(4x-35)

Option D is the same answer if we multiply -2 in the second term

(x+2) (-8x+70)

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Elena works out on a treadmill. She uses a program that combines running and walking. She knows that she runs .2 miles and she w

dedylja [7]

Answer:

s = 2t₁ + t₂

3 possible combinations:

t₁ = 0 min , t₂ = 8 min

t₁ = 1 min , t₂ = 6 min

t₁ = 2 min , t₂ = 4 min

Step-by-step explanation:

The distance covered by a body in uniform motion is given by the following equation:

s = vt

where,

s = distance

v = speed

t = time

For running:

s = s₁

t = t₁

v = 2 miles/min

Therefore,

s₁ = 2t₁

For walking:

s = s₂

t = t₂

v = 1 miles/min

Therefore,

s₂ = t₂

And the total distance will be:

s = s₁ + s₂

s = 2t₁ + t₂

where,

s = total distance covered in miles

t₁ = running time in min

t₂ = walking time in min

Now, the total distance is given as 8 miles:

8 = 2t₁ + t₂

So, the 3 possible combinations of time to satisfy this equation can be:

t₁ = 0 min , t₂ = 8 min

t₁ = 1 min , t₂ = 6 min

t₁ = 2 min , t₂ = 4 min

3 0

3 years ago

Please answer! this is an important exam that im taking right now.

Scorpion4ik [409]

Answer:

Required ordered pair is (0,0) for system of equation

Step-by-step explanation:

The given system of equation is

A). $9^{12x} = 9^{3y}$

B). $y^{4} - 9y^{2} x^{2} =16y$

On simplifying the equation A

$9^{12x} = 9^{3y}$

Take log on both side,

(12x) (log9) = (3y) (log9)

4x=y

To find the solution of the system of the equation :

Replacing value of y=4x in equation B,

$y^{4} - 9y^{2} x^{2} =16y$

$(4x)^{4} - 9(4x)^{2} x^{2} =16(4x)$

$256x^{4} - 144x^{2} x^{2} =64x$

$256x^{4} - 144x^{4}=64x$

$112x^{4}=64x$

We get,

x=0 and x=0.829

Since, 0.829 is not integer number

Only solution of equations is x=0

For the value of y

Replace value x in y=4x=0

Thus, Required ordered pair is (0,0)

8 0

4 years ago

Help someone pleaseee

horsena [70]

Good morning ☕️

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Step-by-step explanation:

Look at the photo below for the answer.

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4 years ago

Read 2 more answers

A father of 12 at death orders his lawyer to share his properties amongest his 12 sons. if the man is worth 12.3 million, and ea

GuDViN [60]

Answer:

Step-by-step explanation:

The man has twelve sons. So we need an equation that has twelve numbers added to 12.3 million. The youngest son's share is what we want to find, so set it to x. Each son older will have 175 more than the one younger than him.

So the next to youngest will have x+175(1) and the next will have x+175(2) and so on to the twelfth one.

So....

x + x+175 + x+175(2) + x+175(3) + x+175(4) + x+175(5) + x+175(6) + x+175(7) + x+175(8) + x+175(9) + x+175(10) + x+175(11) = 12,300,000

Now simplify. Add all the x's and multiply all the numbers.

12x + 350+525+700+875+1050+1225+1400+1575+1750+1925+2100=12,300,000

Continue to simplify by adding.

12x+13,475=12,300,000 Now simplify by subtracting the non 'x' number from both sides

12x+13,475-13,475=12,300,000-13,475

12x=12,286,525 Now simplify by dividing both sides by 12.

x = 1,023,877.08

The youngest son will inherit 1,023,877.08.

There should be a unit:$, pounds, something.

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3 years ago

How can knowing about an interception in football help you remember the definition of y- intercept

soldier1979 [14.2K]

The y-intercept can be used to discover the high which the ball must be to be intercepted

Step-by-step explanation:

if x represents the distance the ball traveled, y represent the height of the ball. you must use these two points in order to intercept the ball and catch it at the exact location just like a (x,y) graph.

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3 years ago