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2 years ago

Please help me out asap.

Mathematics

1 answer:

GalinKa [24]2 years ago

7 0

Using a calculator, the slope of the line of best-fit is of 7.2.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, the points are given as follows:

(-4,-32), (-2,-8), (0,10), (2,8), (4,32).

Using the calculator, the equation is:

y = 7.2x + 2.

Hence the slope is of 7.2.

More can be learned about a line of best-fit at brainly.com/question/22992800
#SPJ1

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A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2;

nevsk [136]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf f(x)= 4x^2 \qquad 
\begin{cases}
x_1=3\\
x_2=3+h
\end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)}
\\\\\\
\cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h}
\\\\\\
\cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h}
\\\\\\
\cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h$

8 0

3 years ago

The distance d in miles that can be covered by a rabbit in X hours is given in the equation y = 30 x The distance covered by a b

AveGali [126]

Answer:

Rabbit is faster than bear.

Step-by-step explanation:

Speed of rabbit or bear is determined by their rate of change of their distances with time.

The distance covered by rabbit in $x$ hours is given as:

$y=30x$

The above equation is of the form $y=mx$ , where, $m$ is the rate of change of $y$ with $x$ .

Therefore, the rate of change of rabbit's distance with time is 30 mi/h.

Now, from the graph, the slope is given as the rise over run.

Rise is 50 miles and run is 2 miles.

So, rate of change of bear's distance with time is, $m_b=\frac{50}{2}=25\ mi/h$

Now, 30 is greater than 25. So, rabbit is faster than bear.

6 0

3 years ago

Unit 7:Polygons & Quadrilaterals Homework 4: Rhombi and squares

iogann1982 [59]

Based on the quadrilateral given, the values of the missing measures will be:

VU = 15
SU = 21.21
TV = 21.21
SW = 10.61

<h3>Solving quadrilateral.</h3>

A quadrilateral simply means a polygon that has four sides, edges and vertices.

Based on the information given, SU = TV and this will be:

= ✓450 = 21.21

SW = 21.21/2 = 10.61

Also, for the second shape, the values will be:

OM = 46; PN = 23, ON = 46; MN = 46.

Learn more about quadrilateral on:

brainly.com/question/224113

4 0

3 years ago

Which property is illustrated by the statement 6 X 4=4 X 6?

muminat

Answer:

Commutative property

Step-by-step explanation:

5 0

3 years ago

During her 8th week of training a woman ran 20 total miles,during her 13th week of training she ran 33 total miles.

allochka39001 [22]

So 8th week:20
13th week:33
13-8=5
33-20=13
grouth of 13 per 5 weeks or about 2.6 increse per week

so if she ran 37 miles then
37-33=4
so an increse of 4 or about 1.5 more weeks soweek 14.5

another way is to find the ratio of miles to weeks
20/8=2.5
33/13=2.54
average 2.5 and 2.54 and get 2.52
37/x=2.52
solve for x
37/x=2.52
multiply both sides by x
37=2.52x
divide both sides by 2.52
14.68=x
she is on her 14.68 week
you might want to round up

4 0

3 years ago