All categories

3 years ago

What is F(8) if f(x) = 15x

Mathematics

1 answer:

Lilit [14]3 years ago

6 0

Answer:

F(8)=120

Step-by-step explanation:

f(x)=15x

f(8)=15(8)

f(8)=120

You might be interested in

I need help Nika baked three loaves of zucchini bread. Each cake needed StartFraction 17 over 4 EndFraction cups of flour. Which

statuscvo [17]

Answer:

B..

lol

Step-by-step explanation:

6 0

3 years ago

Use the given data to find a regression line that best fits the price-demand data for price p in dollars as a function of the de

Rufina [12.5K]

Answer:

$m=-\frac{7600}{8250}=-0.921$

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

$\bar x= \frac{\sum x_i}{n}=\frac{550}{10}=55$

$\bar y= \frac{\sum y_i}{n}=\frac{1042}{10}=104.2$

And we can find the intercept using this:

$b=\bar y -m \bar x=104.2-(-0.921*55)=104.707$

So the line would be given by:

$y=-0.921 x +104.707$

Step-by-step explanation:

For this case we have the following data given:

Demand (x): 10,20,30,40,50,60,70,80,90,100

Price (y): 141 , 133,126, 128,113,97, 90, 82,79,53

We want to construct a linear model like this:

$y = mx +b$

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

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

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

So we can find the sums like this:

$\sum_{i=1}^n x_i =550$

$\sum_{i=1}^n y_i =1042$

$\sum_{i=1}^n x^2_i =38500$

$\sum_{i=1}^n y^2_i =115882$

$\sum_{i=1}^n x_i y_i =49710$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=38500-\frac{550^2}{10}=8250$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=49710-\frac{550*1042}{10}=-7600$

And the slope would be:

$m=-\frac{7600}{8250}=-0.921$

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

$\bar x= \frac{\sum x_i}{n}=\frac{550}{10}=55$

$\bar y= \frac{\sum y_i}{n}=\frac{1042}{10}=104.2$

And we can find the intercept using this:

$b=\bar y -m \bar x=104.2-(-0.921*55)=104.707$

So the line would be given by:

$p(x)=-0.921 x +104.707$

4 0

3 years ago

The circle above has a radius of 10 cm. What is the area of the circle? Use = 3.14.

nataly862011 [7]

For this you need the formula for a circle:

A=πr2 (pi r squared)

A=π(10) squared
A=(3.14)(10) squared
(remember to square before you multiply - order of operations)
A=(3.14)(10*10)
A=(3.14)(100)
A=314

Hope this helps! :)

4 0

3 years ago

You have 5 pounds and 10 ounces of laundry. Your washer has a capacity of 7 pounds. How many more ounces of laundry would you ne

irga5000 [103]

7 pounds = 16 pounds and 1 pound = 6 pounds and 16 ounces.

(6 pounds + 16 ounces) minus (5 pounds + 10 ounces) = 1 pound + 6 ounces

7 0

3 years ago

Read 2 more answers

(3, 2), y = x + 5 Write an equation in slope-intercept form for the line that passes through the given point and is parallel to

astraxan [27]

Answer:

y = x - 1

Step-by-step explanation:

Since the line is parallel to y = x + 5, it will have the same slope, which is 1.

Plug in the slope and the given point into y = mx + b, and solve for b:

y = mx + b

2 = 1(3) + b

2 = 3 + b

-1 = b

Then, plug in the slope and b into the equation:

y = mx + b

y = x - 1

So, the equation is y = x - 1

7 0

3 years ago