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2 years ago

Suppose that f(x)=x2 and g(x) =4/5x2. Which statement best compares the graph of f(x)?

Mathematics

1 answer:

Roman55 [17]2 years ago

6 0

Answer:

See below.

Step-by-step explanation:

Are f(x)=x2 and g(x) =4/5x2 correctly written?

This answer assumes they are supposed to be:

f(x)=x^2 and g(x) = (4/5)x^2

If these revisions are correct, g(x) would produce values that are (4/5) of f(x).

See attached graph.

I don't see any of the options for "best statement."

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1. Writing an equation for an exponential function by

Naya [18.7K]

Answer: 1) $t(n)=0.6(2)^n$

2) $f(x)=10(5)^x$

Step-by-step explanation:

1) Let the function that shows the thickness of the paper after n folds,

$t(n) = ab^n$ ---------(1)

Since, According to the question,

Initially the thickness of the paper = 0.6

That is, at n = 0, t(0) = 0.6

By equation (1),

$0.6 = a(b)^0\implies 0.6 = a$

Hence the function that shows the given situation,

$t(n) = 0.6 b^n$ -----------(2)

Again when we fold the paper the thickness of the paper will be doubled.

Thus, at n = 1, t(1) = 1.2

By equation (2),

$1.2 = 0.6 b^1\implies 2 = b$

Thus, the complete function is,

$t(n) = 0.6 (2)^n$

2) Let the function that is passing through the points (-2, 2/5) and (-1,2),

$f(x) = ab^x$ ---------(1)

For f(x) = 2, x = -1

By equation (1),

$2= ab^{-1}$ ---------(2)

Also, For f(x) = 2/5, x = -2

Again, By equation (1),

$\frac{2}{5}= a(b)^{-2}$

$\implies \frac{2}{5}=ab^{-1}b^{-1}=2b^{-1}$

$\implies \frac{2}{5}=\frac{2}{b}$

$\implies 2b=10$

$\implies b = 5$

By substituting this value in equation (2),

We get, a = 10

Hence, from equation (1), the function that is passing through the points (-2, 2/5) and (-1,2),

$f(x) = 10(5)^x$

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3 years ago

A, B, or C? If you don’t know it, don’t answer :)

lara31 [8.8K]

Answer:

Step-by-step explanation:

X is moving by 9s and Y is moving by 10

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2 years ago

PLEASE HELPPPP!!! The number of songs Oliver has downloaded this year, divided by 12, is equal to 24. What is an equation that r

vlada-n [284]

Answer:

Step-by-step explanation:

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3 years ago

A system of two linear equations is consistent and dependent. What is true about the graph of the equations?

steposvetlana [31]

Answer:

The best answer is " The lines are the same " ⇒ A

Step-by-step explanation:

A system of two linear equations can have:

One solution ⇒ 2 intersected lines at a point

An infinite number of solutions ⇒ same line

No solution ⇒ 2 parallel lines

If a system has at least one solution, it is called consistent

If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a point

If a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same line

If a system has no solution, then it is called inconsistent. they represented by two parallel lines

Let us use these facts above to solve our question

∵ A system of two linear equations is consistent and dependent

∴ The system has an infinite number of solutions

∴ The system represented graphically by the same line

∴ The best answer is " The lines are the same "

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3 years ago

What is the relationship of the line 8x - 2y = 7 to the line 6x - 2y = -7

Alex787 [66]

Answer:

Neither

Step-by-step explanation:

In a Standard from equation, Ax+By=C

slope=-A/B

1. -8/-2=4

slope=4

2. -6/-2=3

slope=3

No relationship.

slope are not the same nor reciprocal.

8 0

3 years ago