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3 years ago

Which of the following is equivalent to the expression (4x + 7)(x - 8)?

Mathematics

1 answer:

igomit [66]3 years ago

6 0

Answer:

$4x^2-25x-56$

Step-by-step explanation:

I'm not sure what your choices are, but I am assuming to need to simplify.

Here is how you do it:

(4x + 7)(x - 8) - Multiply 4x and x

$4x^2$

(4x + 7)(x - 8) - Multiply 4x and -8

-32x

(4x + 7)(x - 8) - Multiply 7 and x

(4x + 7)(x - 8) - Multiply 7 and -8

-56

Now, add all of the terms together.

$4x^2$ -32x+7x-56

-32x+7x = -25x

$4x^2-25x-56$

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mafiozo [28]

Hi I’m just testing this out, sorry

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3 years ago

More halp wanted and needed

Semenov [28]

I believe your answer is the first option, 1/2 ft.

*Volume is expressed by length x width x height.

If we multiply the length 5/7 and the height 1 & 1/2 we get 15/14:

*To multiply fractions you must multiply across, multiply the numerator (or top number) by the numerator and the denominator (bottom number) by the denominator.

- Let's turn 1 & 1/2 into a mixed fraction to make things a little easier. 1 & 1/2 also equivalent to 3/2

-Multiply the numerators together, 5 from the 5/7 and now 3 from the 3/2
(5 x 3 = 15)

-Multiply the denominators together, 7 from the 5/7 and 2 from the 3/2
(7 x 2 = 14)

Therefore, 5/7 x 1 & 1/2 is 15/14.

Now what multiplied by 15/14 equals 15/28?

Well... 1 x 15 = 15. That gives us our numerator, 1.

2 x 14 = 28... and we have our denominator 2.

Putting those two together we get a fraction of 1/2. Your width is then 1/2 ft.

I'm so sorry for all the work here! I know it's a lot. I hope it's not too confusing to look at. Hopefully this helps!

3 0

4 years ago

Anyone know how to do this?

ycow [4]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Help me answer these math problems. They are due by 10:00 PM Tonight. Please answer them carefully.

Romashka [77]

Answer:

. Kelsey takes out a loan for $6000 to start a business after high school. The bank charges her 8% simple interest for the loan. Term is five years. After 5 years , what will the balance be for the repayment of this loan? (round to nearest cent)

Step-by-step explanation:

5 0

3 years ago

Philip shoots an arrow from the top of a hill into the ground. the flight of the arrow can be modeled with the quadratic functio

Sati [7]

Answer:

(a)Time taken to reach the ground, x=6 seconds

(b)Maximum height of the arrow during its flight =101.25 feet

Step-by-step explanation:

Given the quadratic function which models the flight of the arrow:

$y=-5x^2+15x+90$

Where:

y represents the vertical height of the arrow, in meters; and
x represents the time, in seconds.

(a)Positive Zero

$-5x^2+15x+90=0\\-5(x^2-3x-18)=0\\-5(x^2-6x+3x-18)=0\\-5(x(x-6)+3(x-6))=0\\-5(x+3)(x-6)=0\\x+3=0\:or\:x-6=0\\x=-3,x=6$

In 6 seconds, the arrow will hit the horizontal plane, i.e. the ground.

(b)

$y=-5x^2+15x+90\\y-90=-5(x^2-3x)\\y-90-5(\frac{9}{4}) =-5(x^2-3x+(\frac{3}{2} )^2)\\y-101.25=-5(x-\frac{3}{2} )^2\\y=-5(x-\frac{3}{2} )^2+101.25$

Comparing with the vertex form:

$y=a(x-h)^2+k$

Our vertex, (h,k)=(1.5, 101.25)

Maximum Value of y=101.25

The maximum value of y represents the maximum height of the arrow during its flight, which is 101.25 feet.

3 0

4 years ago