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Thepotemich [5.8K]
3 years ago
10

Frances has piano lessons every fourth day.

Mathematics
1 answer:
Fiesta28 [93]3 years ago
7 0

Answer: ask your teacher I’m not that smart

Step-by-step explanation:

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HELP I WILL MARK BRAINLIEST!!!
MrMuchimi

Answer:

17.7 as the actual gas mileage recorded is 12 mpg.

Step-by-step explanation:

8 0
2 years ago
-8y^3( 7y^2- 4y - 11)<br><br>How do you Factor this?
marshall27 [118]

-8y^3( 7y^2- 4y - 11)

-8y^3 (7y-11) (y+1)

8 0
3 years ago
Type the correct answer in each box. (____)
trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8)   mm

V = 1024π mm³

Calculations:

1. Find the cubic equation  

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²  

1024 = x(x² - 16x  + 64)

1024 =    x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is  

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the <em>rational roots theorem</em>, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1  -16   64  -1024

  <u>|     16     0   1024 </u>

   1     0   64        0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0        x² + 64 =    0

     x = 16       x²         = -64

                       x          =  ±8i

There is only one real root: x = 16 mm

6 0
3 years ago
This week, Sarah spent a total of 120 minutes studying. This total was 20 more
MrMuchimi

Answer:

She spent 25 minutes studying last week

Step-by-step explanation:

L = last week

120 = 4L + 20

Subtract 20 from either side

100 = 4L

Divde either side by 4

25 = L

4 0
2 years ago
How is she wrong if she says it is a positive correlation because y is increasing
raketka [301]
It is wrong because the y cant be higher then the x
8 0
3 years ago
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