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Talja [164]
3 years ago
5

Convert the map scale to a unit rate. Show your work. Interpret the meaning of the unit rate 3/10 in.= 7/8 mi

Mathematics
2 answers:
Mashcka [7]3 years ago
6 0
(3/10) in = (7/8) mi

1 in = (7/8) mi ÷ (3/10)
 
       = 7/8 * (10/3) = 70/24

1 in = (70/24) mi

It means every 1 inch on the map drawing represents (70/24) miles ≈ 2.917 miles in reality.   

Aleksandr [31]3 years ago
5 0

Answer:70/24

Step-by-step e3xpla3 yenation:

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Trigonometry<br> Use trigonometry functions to find the area <br> In ΔABC, AB=21, AC=16, and m
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154.6 units²

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3 years ago
Consider the inverse function. Which conclusions can be drawn about f(x) = x2 + 2? Select three options. f(x) has a limited rang
PolarNik [594]

Answer:

f(x) has a limited range

f(x) has a maximum at the point (0, 2)

f(x) has a y-intercept at the point (0, 2).

Step-by-step explanation:

Given the function;

f(x) = x^2+2

The domain is the value of the input variables for which the function will exist. According to the expression given, the function exists on all real values of x. The same goes with range which deals with the output values. It also exists on all real values from 2 and above.

Hence f(x) have a limited range (since values less than 2 are not included compare to domain that exists on all real values) and does not have a restricted domain.

For the x intercept, x intercept occur at y = 0

substitute y = 0 into the function and get y

if y = f(x)

y = x^2+2

0 = x^2 + 2

x^2 = -2

x = 2i

Hence  f(x) does not have an x-intercept of (2, 0)

For the y intercept, y intercept occur at x = 0

substitute x = 0 into the function and get y

if y = f(x)

y = x^2+2

y = 0^2 + 2

y = 2

Hence  f(x) has a y-intercept at point (0, 2)

f(x) is at maximum if d(fx))/dx = 0

d(fx))/dx  = 2x

since  d(fx))/dx  = 0

0 = 2x

x = 0

substitute x = 0 into the function

f(x) = x^2 + 2

y = 0^2+2

y = 2

Hence f(x) has a maximum at the point (0, 2)

5 0
2 years ago
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I guess this will be good example of how to do it
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