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2 years ago

which function increases at a faster rate on 0 to infinity, f(x) = x2 or g(x) = 2x? explain your reasoning

Mathematics

2 answers:

Helga [31]2 years ago

8 0

Answer:

Using a table of values, the outputs of f(x) for whole numbers are 0, 1, 4, 9, 16, 25, 36, and so on. For the same input values, g(x) has outputs of 1, 2, 4, 8, 16, 32, and 64. Continuing to double the output each time results in larger outputs than those of f(x). The exponential function, g(x), has a constant multiplicative rate of change and will increase at a faster rate than the quadratic function.

Step-by-step explanation:

Tcecarenko [31]2 years ago

7 0

F(x) = x² increases at a faster rate than g(x) = 2x.

f(x)

Reason:

x = 0, 1, 2, 3, 4, 5, 6, 7

f(x) = 0, 1, 4, 9, 16, 25, 36, 49

g(x) = 0, 2, 4, 6, 8, 10, 12, 14.

Comparing the values of f(x) and g(x), we can see that that of f(x) are far higher than that of g(x) for the same values of x.

So f(x) increases at a faster rate.

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Alexis has a rectangular piece of red paper that is 4 centimeters wide. It’s length is twice it’s width. She glued a rectangular

Montano1993 [528]

for the rectangular red paper :

w₁ = width of the red paper = 4 cm

L₁ = length of red paper = 2 w = 2 x 4 = 8 cm

A₁ = area of the red paper = L₁ w₁ = 8 x 4 = 32 cm²

for the rectangular blue paper :

w₂ = width of the blue paper = 3 cm

L₂ = length of blue paper = 7 cm

A₂ = area of the blue paper = L₂ w₂ = 7 x 3 = 21 cm²

area visible is given as

A = A₁ - A₂ = 32 cm² - 21 cm² = 11 cm²

so 11 square units of red paper will be visible on top

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2 years ago

15 points!!!

r-ruslan [8.4K]

Answer:

The correct option is 4.

Step-by-step explanation:

If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.

In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.

In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.

$\frac{1}{1}\neq \frac{1}{2}$

The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.

Therefore the correct option is 4.

6 0

2 years ago

Read 2 more answers

What is 40653230000000 in standard form

lorasvet [3.4K]

4065323 × 10 to the senventh power?

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2 years ago

Here is a circle touching a square. The area of the square is 36cm squared. Work out the area of the circle. Give your answer in

Lena [83]

Answer:

see below

Step-by-step explanation:

Because the area of the square is 36 its side is 6 meaning the circle has a diameter of 6. This means that its radius is 3 so its area is 3² * π = 9π.

8 0

2 years ago

Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression rep

gregori [183]

The expression represents the total amount of money Mike earned for both weeks is 2.05x dollars

Solution:

Given that, Mike earned x dollars the first week of his new job

He earned 5% more the second week than the first week

To find: Total amount earned in both weeks

From given,

Amount earned in first week = "x" dollars

Amount earned in second week = 5 % more than first week

Therefore,

Amount earned in second week = x + 5 % of x

$\rightarrow x + 5 \% \times x\\\\\rightarrow x + \frac{5}{100} \times x\\\\\rightarrow x + 0.05x = 1.05x$

Thus amount earned in second week = 1.05x dollars

The total amount earned in both weeks:

Total amount = Amount earned in first week + Amount earned in second week

$Total\ Amount = x + 1.05x = 2.05x$

Thus the expression represents the total amount of money Mike earned for both weeks is 2.05x dollars

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2 years ago