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Nikitich [7]
3 years ago
6

Enter the number that belongs in the green box. 7x8x-12 x = [? ]

Mathematics
1 answer:
White raven [17]3 years ago
3 0

Answer:

x = 12

Step-by-step explanation:

These are vertical angles, and vertical angles are equal

7x = 8x-12

7x -8x = -12

-x = -12

x = 12

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Use the real zeros to factor f x^4 plus 10^3 minus 20x^2 minus 90x plus 99
Furkat [3]

Answer:

f(x) = (x + 11) (x + 3) (x − 1) (x − 3)

Step-by-step explanation:

f(x) = x⁴ + 10x³ − 20x² − 90x + 99

f(x) is a fourth order polynomial, so it has 4 roots.  Use rational root theorem to find possible rational roots.

±99, ±11, ±9, ±3, ±1

By trial and error, the zeros are -11, -3, 1, and 3.

f(x) = (x + 11) (x + 3) (x − 1) (x − 3)

7 0
3 years ago
What is the exact volume of the cylinder?
lesantik [10]
Volume of the cylinder=area (circle) x height
area (circle)=πr²
r=radius=4 in.
area=π(4 in)²=16π in²
height=8 in

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Answer=  128π in³        or        402.12 in³

7 0
3 years ago
18p ÷ q + 4 (r - 5) =
faust18 [17]
I think it will equal 1
8 0
3 years ago
Of the 14 professional sports team in Tennessee, 9 are baseball teams. About what percent of the professional sports teams in Te
Westkost [7]

Answer:

64.3%

Step-by-step explanation:

Number of professional sports team in Tennessee is equal to 14

9 are baseball teams

Percentage of baseball teams

= no. of baseball teams/ no. of sports team x 100%

That’s 9/14 x 100%

0.643 x 100%

64.3%

The percentage of baseball team in Tennessee professional sports team is 64.3%

6 0
3 years ago
Harper deposited $110 into a savings account that earns 3.5% interest a year. The function (R)t models the amount of money Raymo
schepotkina [342]

Answer:

  A.  $2.26

Step-by-step explanation:

An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...

  H(t) = 110(1.035)^t

For t = 2, the two balances will be ...

  H(2) = 110(1.035^2) = 117.83

  R(2) = 110(1.025^2) = 115.57

The difference is ...

  $117.83 -115.57 = $2.26

Harper's account will have $2.26 more.

_____

As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.

7 0
3 years ago
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