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lana [24]
3 years ago
15

Opal walked from school to home, which

Mathematics
1 answer:
lianna [129]3 years ago
8 0

Answer:

Slope = -4

x intercept = 3

Step-by-step explanation:

See attachment for graph

Required

a. Determine the slope

b. Find the x intercept and explain what it represents

a. The slope

To calculate the slope, we start by selecting any two corresponding values of x and y from the graph.

(x_1,y_1) = (3,0)

(x_2,y_2) = (0,12)

Next, we calculate the slope (m)

m = \frac{y_1 - y_2}{x_1 - x_2}

m = \frac{0 - 12}{3 - 0}

m = \frac{- 12}{3}

m = -4

b. The x intercept

This is the point where y = 0.

From the graph.

x = 3  when y = 0

This implies that:

After 3 hours, the distance left to cover is 0miles.

In other words, she arrived home in 3 hours

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Find the slope between the two points. (2, -8) and (-1,1)​
ANTONII [103]
-3 is the slope.


Explanation:

We would use the slope formula for this.

Slope formula: y2-y1/x2-x1

1-(-8)/-1-2

9/-3
-3
4 0
3 years ago
A lifeguard fills a pool with water at a constant rate. After 12 hour, 13 of the pool is filled. At this rate, what fraction of
strojnjashka [21]

At the considered rate the fraction of pool that is filled per hour is 13/12

<h3>How to measure the rate of change of something as some other value changes?</h3>

Suppose that we have to measure the rate of change of y as x changes, then we have:

Rate = \dfrac{y_2 - y_1}{x_2 - x_1}

where we have

\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)


For the considered case, we can take time spent as difference of independent variable, and the amount of pools filled as the corresponding difference of the dependent variable.

in 12 hour time interval total 13 pools were filled.

That means

Rate of filling the pool is 13 pools per 12 hours or \dfrac{13}{12} pools per hour.

Thus, at the considered rate the fraction of pool that is filled per hour is 13/12

Learn more about rate of change here:

brainly.com/question/11484885

4 0
2 years ago
What is the answer for number 15 16 17
stira [4]
15.

6 pachages
each pcage has 30
6*30=180 total

17 left over
how many used
used=total-left over
used=180-17
used=163




16. xy is 2 digit number
multiplules of 10 (whole multipules) always end with 0 so y=0

and has 3 as one of its factors
factors of 3 is 3,6,9,12
30,60,90 is answer



17.
30 in 9 parks
30 times 9
30=10 times 3
3*10*9
group the 3 and 9
10*(3*9)
3*9=27
10*(27)
270






15. 163
16. 30,60,90
17. see above, 270
6 0
4 years ago
Clare earns 75 the next week from an after school job and deposits just enough into her account so that she is out of debt.
CaHeK987 [17]

Answer: As she was in a debt of $50 , she is left with $25

-$50 + $75 = $25

Step-by-step explanation:

3 0
3 years ago
Find an ordered pair to represent a in the equation<br> a=2b+c if b=(6,3) and c=(-4,8)
zaharov [31]

Answer:

The ordered pair to represent a in the equation a=2b+c if b=(6,3) and c=(-4,8) is: a=(8,14)

Step-by-step explanation:

b=(6,3)

c=(-4,8)

a=2b+c

Replacing b and c in the equation above:

a=2(6,3)+(-4,8)

Multiplying:

a=(2*6,2*3)+(-4,8)

a=(12,6)+(-4,8)

Adding:

a=(12+(-4),6+8)

a=(12-4,14)

a=(8,14)

8 0
4 years ago
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