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Kobotan [32]
3 years ago
13

Wanda drove 392 miles in 14 hours. What is her unit rate of miles per hour?

Mathematics
1 answer:
Tom [10]3 years ago
6 0
The unit rate of miles per hour is 28
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James's garden has a length of 12 1/4 feet and a width of 9 2/3 feet. What length of fencing will he need to surround his garden
Lina20 [59]
43 and 5/6 because 12 and 1/4*2 is 24 and 1/2 then 9 and 2/3*2 is 19 and 1/3 and when you add that you get 43 and 5/6
6 0
3 years ago
PLEASE HELP!!!!!
Zielflug [23.3K]
Question #1

Part A:
The y-intercept can be found when x = 0. If you look at your table, when x = 0, y = 5. So the y-intercept is 5.

Part B:
\sf Slope = \frac{27-5}{1-0} = \frac{22}{1} = \boxed{22}
The slope is 22.

Part C:
y = mx + b
y = 22x + 5

We are given 225 as the range, or in place of y.
225 = 22x + 5
220 = 22x
x = 10

The domain is 10.



Question #2

Part A:

(2,255)
(5,480)

Standard form is Ax + By = C

\sf Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{480-225}{5-2} = \frac{255}{3} = \boxed{85}

Let's plug this into this form first:
y - y_1 = m(x-x_1)\\\\y -225 = 85(x-2)\\\\y - 225 = 85x - 170\\\\y = 85x + 55

Now, let's make it into Standard Form.
y = 85x + 55\\\\y - 85x + 55\\\\ -85x + y = 55\\\\ -1(-85x +y) = -1(55)\\\\\boxed{85x - y = -55}
What, which is in the box, is your final answer. :)

Part B:
Function notation simply means replacing y with f(x).
We had y = 85x + 55
So your answer is:
\boxed{f(x) = 85x + 55}

Part C:
Using the final answer which we got in Part A, we would know that the y-intercept is (0,55) and the x-intercept is (-55/85, 0). We would plot these 2 points, and then draw a line between them. :)
5 0
3 years ago
HELP PLEASE!!!
True [87]

Answer:

The graph of f(x) is shifted k units to the right of the graph of g(x).    

Step-by-step explanation:

Given the function  and  where k <0.

As, horizontal depends on the value of x and are when

g(x)=f(x+h)   graph shifted to left.

g(x)=f(x-h)    graph shifted to right.

Now, given

But here k is negative, when k is considered positive then f(x) becomes

⇒ The graph of f(x) is shifted k units to the right of the graph of g(x).

Correct option is B.

6 0
3 years ago
Estimate the Circumference of this circle.<br> 10m
Rina8888 [55]

Answer:

62.8

Step-by-step explanation:

10*2=20

20*3.14= 62.8

HOPE IT HELPS

7 0
3 years ago
What is an equation of the line that is perpendicular to y=−23x+5 and passes through the point (2, 11) ?
hichkok12 [17]

Answer:

The equation would be y = 1/23x - 251/23

Step-by-step explanation:

To start, you need to locate the slope of the first equation. Since the slope is the coefficient of x, we know it to be -23. Now, the perpendicular slope is the opposite and reciprocal of that, which makes the new slope 1/23.

Now that we have this, we can use the point and the slope in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 11 = 1/23(x - 2)

y - 11 = 1/23x - 2/23

y = 1/23x - 251/23

5 0
3 years ago
Read 2 more answers
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