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Setler79 [48]
3 years ago
10

List a time when it might be useful to know the unit rate.

Mathematics
1 answer:
Andrej [43]3 years ago
3 0

Answer:

a good time is when u are in math class and a teacher assigns u a homework of unit rate.

Step-by-step explanation:

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What are the x-values of the quadratic equation (x-2)^2-9=0?
skelet666 [1.2K]

Answer: x=−1 or x=5

Step-by-step explanation:

5 0
2 years ago
When graphed, which function has a horizontal asymptote at 4?
galben [10]

Answer:

<em>Correct answer: C. f(x) = 2(3)x + 4</em>

<u><em>(please note we changed the expression of the function to exponential form which we believe is the correct form of the question)</em></u>

Step-by-step explanation:

<u>Horizontal Asymptote</u>

The graph of a function is said to have a horizontal asymptote at y=a if one or both the following limits exist

\lim\limits_{x \rightarrow \infty}f(x)=a

\lim\limits_{x \rightarrow -\infty}f(x)=a

The horizontal asymptotes are horizontal lines to which the function tends when x increases or decreases without limits.

Let's analyze each one of the options provided:

A.  f(x) = 2x -4

\lim\limits_{x \rightarrow \infty}(2x-4)=+\infty

\lim\limits_{x \rightarrow -\infty}(2x-4)=-\infty

No horizontal asymptote

B.  f(x) = -3x + 4

\lim\limits_{x \rightarrow \infty}(-3x+4)=-\infty

\lim\limits_{x \rightarrow -\infty}(-3x+4)=\infty

No horizontal asymptote

C. f(x) = 2\cdot 3^x + 4

\lim\limits_{x \rightarrow \infty}(2\cdot 3^x + 4)=2\cdot 3^\infty + 4=\infty

\lim\limits_{x \rightarrow \infty}(2\cdot 3^x + 4)=2\cdot 3^{-\infty} + 4=0+4=4

This function has a horizontal asymptote at y=4

D. 3\cdot 2^x -4

\lim\limits_{x \rightarrow \infty}(3\cdot 2^x - 4)=3\cdot 2^\infty - 4=\infty

\lim\limits_{x \rightarrow \infty}(3\cdot 2^x- 4)=3\cdot 2^{-\infty} - 4=0-4=-4

This function has a horizontal asymptote at y=-4

Correct answer: C.

8 0
3 years ago
The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Alenkasestr [34]

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be 4\,in\,:\,5\,ft and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (r), measured in inches per feet, is equivalent to the following rational number:

r = \frac{4\,in}{5\,ft}

We can convert each length by dividing it by scale factor. That is:

Length

l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }

l' = 20\,ft

Width

w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }

w' = 31.25\,ft

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

8 0
3 years ago
Pete's Plumbing charges a $150 inspection fee plus $60 per hour. Paul's Plumbing charges a $90 inspection fee plus $75 per hour.
Klio2033 [76]

Answer:

40+75 x = 125 + 25x

Step-by-step explanation:

5 0
3 years ago
HELP! I put the formula but I don’t know the radius
ahrayia [7]

Answer:

C. 8,624

Step-by-step explanation:

recall that the formula for circumference is

Circumference = 2πr  ( = given as 85 meters)

hence,

85 = 2πr

r = 85/(2π)

given h = 15m

volume of cylinder

= πr²h

= π (85/2π)² 15  (using calculator and assuming π = 3.14)

= 8628.58

Comparing with the choices, the closest choice (within rounding error) is C. 8,624

8 0
3 years ago
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