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Aleksandr [31]
3 years ago
9

The following table shows the distance from school as a function time

Mathematics
2 answers:
Allushta [10]3 years ago
8 0

Answer:

A: 36,0 the distance away from the school

Step-by-step explanation:

At 0 it means you have spent 0 minutes going to school which means you haven't left the starting point yet.

36 is the distance left (in meters) from your current position and school. This means that the school is 36 meters away from the starting point.

kykrilka [37]3 years ago
4 0

Answer:

27,0 the distance away from the school​

Step-by-step explanation:

Apply the formula for equation of a straight line;

y=mx+c where c is the y intercept , and m is the gradient

From the graph, the slope is negative where speed decreases with increase in time

Find the gradient by applying the formula;

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

Taking y₁=24, y₂=20, x₁=9, x₂=12

Then;

m=\frac{20-24}{12-9} =\frac{-4}{3}

write the equation of the function as ;

y=mx+c, c=36( the y-intercept when x=0) hence the equation is;

y=mx+c\\\\y=\frac{-4}{3}x+36

To get x-intercept, substitute value of y with 0

y=mx+c\\\\\\y=-\frac{4}{3} +36\\\\\\0=-\frac{4}{3} x+36\\\\\frac{4}{3}x =36\\\\\\4x=36*3\\\\\\x=108/4=27

This means that the x-intercept is 27 ,and this means you will require 27 minutes to cover the whole distance to the school.

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If a = 4 and b = 5, what is the value of the following expression? 6a + 3b - 8
castortr0y [4]
Simple...

you have: 6a+3b-8

a=4 and b=5

Plug in what you know-->>

6(4)+3(5)-8

24+15-8

39-8

31

Thus, your answer.

5 0
3 years ago
I need all three answers fast pls
Zigmanuir [339]

Answer:

Step-by-step explanation:

4. -3(2x + 6) = -6x - 18

5. -3x - 9= -3(x + 3)

6. 5x - 25y = 5(x - 5y)

8 0
3 years ago
Complete the equation of the line through (-10,-7) and (-5, -9).<br>Use exact numbers,​
steposvetlana [31]

Answer:

y=\frac{-5}{2}*x + 18

Step-by-step explanation:

A line in 2-dimensional space has the following general equation:

y=m*x+b

Where m is the slope of the line, and b just a number

the slope can be obtaine using th following formula:

m=\frac{x_{2} - x_{1} }{y_{2} - y_{1}}

The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)

m=\frac{-5 - (-10) }{-9 - (-7)}

Resulting that \frac{-5}{2}

To find the other term we can use any other point, I prefer us the first one so...

We have the following equation:

-7=\frac{-5}{2}*(-10)+b

Resulting that b=18

I just have to eval the point (-10,-7) in the equation stated at the beginning  knowin that m was calculated previously.

8 0
3 years ago
Read 2 more answers
A 90% confidence interval for the mean height of students
Westkost [7]

Answer:

ME= \frac{69.397-60.128}{2}= 4.6345 \approx 4.635

And the best answer on this case would be:

b) m = 4.635

Step-by-step explanation:

Let X the random variable of interest and we know that the confidence interval for the population mean \mu is given by this formula:

\bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}

The confidence level on this case is 0.9 and the significance \alpha=1-0.9=0.1

The confidence interval calculated on this case is 60.128 \leq \mu \leq 69.397

The margin of error for this confidence interval is given by:

ME =t_{\alpha/2} \frac{s}{\sqrt{n}}

Since the confidence interval is symmetrical we can estimate the margin of error with the following formula:

ME = \frac{Upper -Lower}{2}

Where Upper and Lower represent the bounds for the confidence interval calculated and replacing we got:

ME= \frac{69.397-60.128}{2}= 4.6345 \approx 4.635

And the best answer on this case would be:

b) m = 4.635

4 0
3 years ago
-2( -4x - 2 ) - 5x + 5 = -12
Sergio [31]

Answer:

use distributive and combine like terms

8 0
3 years ago
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