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2 years ago

8

one lap around a track is equal to one fourth of a mile. A horse ran a distance of 9 laps in 2 minutes and 30 seconds. What was

the horse's average speed in miles per hour

1 answer:

Goryan [66]2 years ago

5 0

13.3 repeating all you have to do is convert them into seconds and divide them by nine

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The tables represent two linear functions in a system,

Alenkasestr [34]

Answer:

<h2>(8, -22)</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

First table:

(-4, 26), (0, 10) → b = 10

$m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4$

$\boxed{y=-4x+10}$

Second table:

(-4, 14), (0, 2) → b = 2

$m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3$

$\boxed{y=-3x+2}$

We have the system of equations:

$\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22$

5 0

2 years ago

Graph the function and select the y-intercept<br> y = 2 • 3^x<br> a. 1<br> b. 2<br> c. 3<br> d. 4

kozerog [31]

Answer:

For the graph see attached image.

The y-intercept is 2

Step-by-step explanation:

The requested graph of the function is included in the attached image.

The y-intercept can be seen from the image, but also from finding the y-value when x= 0 (zero):

$y=2\,\,\,3^x\\y=2\,\,\,3^0\\y = 2 \,\,\,(1)\\y = 2$

8 0

3 years ago

Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 4, 7, 9, 12, ...

sesenic [268]

Answer:

no

Step-by-step explanation:

the sum of 4+7+9+12=32

32/4= 8

8 is not part of the sequence. Therefore its not arithmetic.

6 0

2 years ago

How many digreee are there<br> in a right angle

Artyom0805 [142]

Answer:

90

Step-by-step explanation:

7 0

2 years ago

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What is 0.1 is 1/10 of what number???

DaniilM [7]

0.1 of 1/10 is...10.

7 0

2 years ago

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