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enyata [817]
3 years ago
10

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

     7x

(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
7 0
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:

no

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
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