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3 years ago

If f(x)=2x+5 find f(6)

Mathematics

2 answers:

zvonat [6]3 years ago

8 0

Answer:

Step-by-step explanation:

Substitute 6 in for x

f(x)=2x+5

f(6)=2(6)+5

Multiply

f(6)=12+5

Add

f(6)=17

Hope this helps! :)

Misha Larkins [42]3 years ago

4 0

Answer:

f(6) = 17

Step-by-step explanation:

To find f(6) with the equation f(x)=2x+5, plug in 6 for x.

f(6) = 2(6) + 5

f(6) = 12 + 5

f(6) = 17

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3 years ago

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph

diamong [38]

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

d) 176/15 π

Step-by-step explanation:

Given lines : y = √x, y = 2, x = 0.

a) The x-axis

using the shell method

y = √x = , x = y^2

h = y^2 , p = y

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

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b) The line y = 2 ( using the shell method )

p = 2 - y

h = y^2

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy$

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c) The y-axis ( using shell method )

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p = x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

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d) The line x = -1 (using shell method )

p = 1 + x

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attached below is the graphical representation of P and h

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3 years ago

If (-1, y) lies on the graph of y=2^2x then y=

zubka84 [21]

Answer:

y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.

I believe the equation to be $y=2^{2x}$ . If you meant $y=2^2x$ , please let me know.

Thanks kindly.

Step-by-step explanation:

If (-1,y) lies on the graph of $y=2^{2x}$ , then by substitution we have:

$y=2^{2\cdot -1}$ .

We just need to simplify to determine y:

$y=2^{2 \cdot -1}$

Multiply the 2 and -1:

$y=2^{-2}$

Use reciprocal rule for exponents to get rid of the negative:

$y=\frac{1}{2^2}$

$2^2$ just means $2(2)$ :

$y=\frac{1}{2(2)}$

$y=\frac{1}{4}$ .

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