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AysviL [449]
3 years ago
12

2. The table shows distance, y, that Mario runs in x minutes.

Mathematics
1 answer:
grigory [225]3 years ago
4 0

Answer:

Equation: y = ⅐x

Rate of change: ⅐

Distance = 10 miles

Step-by-step explanation:

Given

The information in the above table

Solving (a): The equation

To get the equation, we need to first calculate the slope (m)

Take any two corresponding values of x and y

(x1,y1) = (7,1)

(x2,y2) = (21,3)

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(21 - 7)

m = 2/14

m = ⅐

The equation is calculated using

y - y1 = m(x - x1)

Substitute values for m, x1 and y1

y - 1 = ⅐(x - 7)

y - 1 = ⅐x - 1

Add 1 to both sides

y = ⅐x

Solving (b) Rate of change:

The calculated slope in (a) above represents the rate of change.

So:

Rate of change = Slope = ⅐

Solving (c): Distance when time is 70 minutes

This implies that x = 70

Substitute 70 for x in y = ⅐x

y = ⅐ * 70

y = 10 miles

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Find the value of x so that L is parallel to M. State the converse used!
galben [10]

Answer:

<h3>6 degrees</h3>

Step-by-step explanation

Find the diagram attached. In Line geometry, there is a theorem that states that the sum of the adjacent interior angles is 180 degrees. According to the diagram, the adjacent interior angles are 7x- 15 and 24x + 9.

The sum of this angles must give 180 degrees as shown;

7x-15 + 24x + 9 = 180

7x+24x-15+9 = 180

31x-6 = 180

31x = 180+6

31x = 186

x = 186/31

x = 6

Hence the value of x is 6 degrees

3 0
2 years ago
What is the multiplicative rate of change of the function shown on the graph? Express your answer in decimal form. Round to the
allsm [11]
In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.


In exponential models there is a constant multiplicative rate of change.


The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.


We can test that using several pair of points.


The multiplicative rate of change is calcualted in this way:

 [f(a) / f(b) ] / (a - b)

Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)

[12.5 / 5] / (2 - 1) = 2.5


[5 / 2] / (1 - 0) = 2.5


[2 / 0.8] / (0 - (-1) ) = 2.5


Then, do doubt, the answer is 2.5





6 0
3 years ago
Read 2 more answers
I need help on this one please
Advocard [28]
1 lemon costs 20p and 1 orange costs 45p so an orange costs 25p more
7 0
3 years ago
VI
barxatty [35]

Answer:D hope it helped

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Fill in the blanks:
ser-zykov [4K]

Answer:

8943=8\times 1000+9\times 100+4\times 10+3\times 1=8\times 10^3+9\times 10^2+4\times 10^1+3\times 1

So in blanks there will be 8, 9, 4, 3

Step-by-step explanation:

We have given that 8943=.....\times 1000+....\times 100+....10+....1=....10^3+....10^2+....10^1+....1

We have to fill the blanks

We know that 8\times 1000=8000

9\times 100

4\times 10

3\times 1

When we add all then

8000+900+40+3=8943

So in the blanks there will be 8 , 9, 4 , 3

We also know that 8000=8\times 10^3

900=9\times 10^2

40=4\times 10^1

3\times 1=3

So 8943=8\times 1000+9\times 100+4\times 10+3\times 1=8\times 10^3+9\times 10^2+4\times 10^1+3\times 1

7 0
3 years ago
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