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Paraphin [41]
3 years ago
8

Using the following function rule F(x) = 5^x + 5, the value of

Mathematics
1 answer:
Troyanec [42]3 years ago
5 0

Answer:

False

Step-by-step explanation:

Given F(x) = 5^x + 5

To find value of F(-3)

we will plug -3 in place x

then we have

F(-3) = 5^x + 5\\=>F(-3) = 5^3 + 5 =>F(-3) = 125 + 5\\=>F(-3) = 120

we have used 5^3 = 5*5*5 = 125 in the above solution.

It is given that F(-3) is -120 while we have calculated F(-3) to be 120.

Thus, F(-3) is -120 is false.

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Let y be inversely proportional to x. if x​ doubles, what happens to​ y?
Mila [183]
When it is said that a variable is inversely proportional to another, it is best to write out an equation to represent it. 

This means; 

y=k/x (where k is a constant number like 1 or 2, etc) 

If you double x, the value of y is halved. I have attached a graph that shows this. 

Hope I helped :) 

4 0
3 years ago
F the value of x decreases by 6, how does the value of m(x + 9) change?
Yuki888 [10]

start with y= m(x+9)

Use the distributive property:

y= mx+9m

Now you want x to decrease by 6:

so y ' = m(x-6) + 9m

Use distributive property again:

y'= mx - 6m + 9m

y' = (mx+9m) - 6m

y' = y - 6m

So the value of y decreases by 6m.

3 0
3 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2
HACTEHA [7]

This question is incomplete, the complete question is;

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 = 2x, x = 2y; about the y-axis

Answer:

V = π (512/15)

Step-by-step explanation:

Given that;

region of rotation

y² = 2x, x = 2y

Region is rotated about y-axis as shown in the image

for the point of intersection,

y²/2 = 2y

y² - 4y = 0

y(y-4) = 0

∴ y = 0, y = 4

so the region lies in 0 ≤ y ≤ 4

Now cross section area of washer is

A(y) = π(outer radius)² = π(inner radius)²

A(y) = π(2y)² - π(y²/2)²

A(y) = π(4y²) - π(y⁴/4)

A(y) = π(4y² - (y⁴/4))

now volume of the solid of revolution is

V = ⁴∫₀ A(y) dy

V = ⁴∫₀ π(4y² - (y⁴/4))dy

V =  π {4⁴∫₀ y² - 1/4⁴∫₀y⁴ dy }

V = π { 4/3 [y³]₀⁴ - 1/20 [y⁵]₀⁴ }

V = π { 4/3 [4]₀⁴ - 1/20 [4]₀⁴ }

V = π { 4/3 [64]₀⁴ - 1/20 [1024]₀⁴ }

V = π { 256/3 - 1024/20 }

V = π { (5120 - 3072) / 60 }

V = π (512/15)

8 0
3 years ago
What is the product of -13 and -4
Keith_Richards [23]

Answer:

52

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I tried answering this but I don't think its right ​
iogann1982 [59]
Yeah that is correct. 3/4 is equal to .75
7 0
3 years ago
Read 2 more answers
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