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Agata [3.3K]
3 years ago
5

Help finding the area

Mathematics
1 answer:
notka56 [123]3 years ago
4 0

Answer:

105

Step-by-step explanation:

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Given that f ( x ) = 2 x − 3 and g ( x ) = 2 x , evaluate f ( f ( 3 ) )
Anna [14]

Answer:

3

Step-by-step explanation:

f(3) = 2*3 -3

= 6-3=3

f(f(3)) = f(3)

so again,

f(3) = 2*3 -3

= 6-3= 3

4 0
2 years ago
PLEASE HELP THIS IS DUE IN LIKE AN HOUR
Setler [38]

I THINK the slope is y=2/1-3 or y=2/1+(-3) if you're looking for slope intercept form. but I for sure know the slope is positive. this is what the lines look like. hope this helps

3 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
jo has a total of 61 dimes and quarters in her piggy bank. she has 3 more quarters than dimes. the coins have a total value of $
Zepler [3.9K]
D+Q=61 => D=61-Q
3+D=Q

10D+25Q=1090

10(61-Q) + 25Q=1090
610-10Q+25Q=1090

610+15Q=1090
-610 -610

15Q=480

480/15=32

32 quarters
4 0
3 years ago
Read 2 more answers
The total surface area of a cube is 96cm2, find its volume.
Setler [38]

Answer:

\huge\boxed{V=64cm^3}

Step-by-step explanation:

The formula of a surface area of a cube:

SA=6a^2

The formula of a volume of a cube:

V=a^3

We have

SA=96cm^2

Calculate the edge length (<em>a</em>).

6a^2=96           <em>divide both sides by 6</em>

a^2=16\to a=\sqrt{16}\\\\a=4(cm)

Calculate the volume of a cube:

V=4^3=64(cm^3)

6 0
3 years ago
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