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Radda [10]
4 years ago
15

Find the distance between the following points: (3,-5),(-3, 9)

Mathematics
2 answers:
BlackZzzverrR [31]4 years ago
8 0
Use the distance formula, just search it up.
masya89 [10]4 years ago
3 0
3x moved 3 units to the left, -5y moved 14 units to the right.
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F(x)=4x^2 and g(x)=-8x^2+4x-4, find (f+g)(x) and (f+g)(-3)
kondaur [170]

Answer:

f(x)=4x^2 and g(x)=-8x^2 + 4x - 4

(f+g)(x) =  -8x^2 + 4x - 4 + 4x^2 = -4x^2 + 4x - 4 = -4(x^2 -x + 1)

(f+g)(-3) = -4( -3^2 -(-3) + 1) = -4 x 13 = -52

Hope this helps!

:)

6 0
3 years ago
A coach is assessing the correlation between the number of hours spent practicing and the average number of points scored in a g
cricket20 [7]

Answer:

a) r=\frac{9(396)-(18)(153)}{\sqrt{[9(51) -(18)^2][9(3141) -(153)^2]}}=1  

We have a perfect linear relationship between the two variables

b) m=\frac{90}{15}=6  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{18}{9}=2  

\bar y= \frac{\sum y_i}{n}=\frac{153}{9}=17  

And we can find the intercept using this:  

b=\bar y -m \bar x=17-(6*2)=5  

So the line would be given by:  

y=6 x +5  

c) For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.

And the intercept 5 represent the minimum score expected for any game

Step-by-step explanation:

We have the following data:

Number of hours spent practicing (x) 0 0.5 1 1.5 2 2.5 3 3.5 4

Score in the game (y) 5 8 11 14 17 20 23 26 29

Part a

The correlation coefficient is given:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=9 \sum x = 18, \sum y = 153, \sum xy = 396, \sum x^2 =51, \sum y^2 =3141  

r=\frac{9(396)-(18)(153)}{\sqrt{[9(51) -(18)^2][9(3141) -(153)^2]}}=1  

We have a perfect linear relationship between the two variables

Part b

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=51-\frac{18^2}{9}=15  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=396-\frac{18*153}{9}=90  

And the slope would be:  

m=\frac{90}{15}=6  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{18}{9}=2  

\bar y= \frac{\sum y_i}{n}=\frac{153}{9}=17  

And we can find the intercept using this:  

b=\bar y -m \bar x=17-(6*2)=5  

So the line would be given by:  

y=6 x +5  

Part c

For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.

And the intercept 5 represent the minimum score expected for any game

5 0
3 years ago
Katie is doing an inventory at American Eagle.There is 125 pairs of jeans. 36 pairs of jeans are women's skinny jeans. What perc
tangare [24]

Answer:

28.8%

Step-by-step explanation:

Given that Katie is doing an inventory at American Eagle.There is 125 pairs of jeans. 36 pairs of jeans are women's skinny jeans.

Total jeans = 125

Women jeans = 36

To find percent of all the jeans are women's skinny jeans

we divide number of womens jeans by total jeans and multiply the result by 100

Required percent = \frac{36}{125} *100\\= 36*0.8\\=28.8

28.8% is answer

8 0
4 years ago
The cost of joining a DVD club and buying DVDs is a linear function of the number of DVDs bought. The cost of 3, 5, and 7 DVDs i
suter [353]

Answer:

A. y = 3x + 3

Step-by-step explanation:

Slope = change in y / change in x

From 3 to 5 (x) = +2

From 12 to 18 (y) = +6

slope, m = 6/2 = 3

Using point slope form

y - y1 = m (x - x1)

y - 12 = 3 (x - 3)

y - 12 = 3x - 9

y = 3x -9 + 12

y = 3x + 3

5 0
4 years ago
Dae opens a credit card with an APR of 19.49% compounded monthly. How much is charged in interest this month if her balance is $
ASHA 777 [7]
Interest charged
1,250×0.1949×(1÷12)
=20.30
3 0
4 years ago
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