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netineya [11]
3 years ago
13

What's the new equation ?

Mathematics
2 answers:
Bas_tet [7]3 years ago
7 0
H(x)=4(x-7)^2-16-3=4(x-7)^2-19\Rightarrow C
andrezito [222]3 years ago
4 0
4x^2-16  shift to right by 7 units by subtracting 7 from x...

4(x-7)^2-16  shift down by 3 units by subtracting 3 from the equation

4(x-7)^2-16-3

4(x-7)^2-19
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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
I NEED HELP! PLEASE! I WILL GIVE OUT BRAINLIST IF CORRECT!
Lisa [10]

Answer:

A reflection on the y axis, then a reflection on the x axis, then a translation of 7 units to the left

Step-by-step explanation:

plz mark me as brainliest

8 0
3 years ago
I spent all my points into this so give it your best shot
ioda

Answer: hi

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
When completing addition and subtraction, according to the order of operations you should always complete the addition first. Is
Art [367]

False. You have to do it left to right or you can do it in a different order but you can't change the signs.

5 0
2 years ago
HELP PLEASE<br> Rewrite the following polynomial in standard form.
Romashka-Z-Leto [24]

Answer:

-2x^3 + 1/7x - 1

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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