If you shift the quadratic parent function, f(x) = x2, right 10 units, what is the

Use quadratic formula y^2-14y= -44 what is the solution set?

andrezito [222]

Given, y^2 - 14y = -44

Add 44 to both sides of the equation

y^2 - 14y + 44 = -44 + 44

y^2 - 14y + 44 = 0

Using the quadratic formula x = [-b ± √(b² - 4ac)]/2a

Where,

a = 1

b = -14

c = 44

x = [-b ± √(b² - 4ac)]/2a

x = [-(-14) ± √(-14² - 4(1)(44)]/2(1)

x = [14 ± √(196 - 176)]/2

x = [14 ± √20]/2

x = (14 + √20)/2 OR (14 - √20)/2

x = (14 + 4.472)/2 OR (14 - 4.472)/2

x = 18.472/2 OR 9.528/2

x = 9.236 OR 4.764

The solution set is {9.236, 4.764}

TO EXPRESS THE ANSWER IN RADICALS

x = [14 ± √20]/2

x = (14 + √20)/2 OR (14 - √20)/2

x = (14 + 2√5)/2 OR (14 - 2√5)/2

x = 7+√5 OR 7-√5


The solution set is {7+√5, 7-√5}

5 0

4 years ago

Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression belo

ASHA 777 [7]

He moved 6 floors up, then moved 8 floors down. So he is now 2 floors below ground level.

I hope this helps.

6 0

3 years ago

Read 2 more answers

Please help need a 100!!!

kari74 [83]

S= (pi times r times l) + (pi times radius squared)

Factor out the pi times r

S= (pi times r) l + r

Divide

S/(pi times r)= l + r

Find common denominator and subtract

(S- pi times r)/(pi times r) = l

The answer therefore is A

4 0

3 years ago

Read 2 more answers

"Select the equation of the least squares line for the data: (34.0, 1.30), (32.5, 3.25), (35.0, .65), (31.0, 6.50), (30.0, 5.85)

yulyashka [42]

Answer:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

Step-by-step explanation:

We assume that the data is this one:

x: 34.0, 32.5, 35.0, 31.0, 30.0, 27.5, 29.0

y: 1.30, 3.25, 0.65, 6.50, 5.85, 8.45, 6.50

Find the least-squares line appropriate for this data.

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:

$\sum_{i=1}^n x_i = 34.0+ 32.5+ 35.0+ 31.0+ 30.0+ 27.5+ 29.0
=219$

$\sum_{i=1}^n y_i =1.3+3.25+0.65+6.5+5.85+8.45+6.5=32.5$

$\sum_{i=1}^n x^2_i = 34.0^2+ 32.5^2+ 35.0^2+ 31.0^2+ 30.0^2+ 27.5^2+ 29.0^2
=6895.5$

$\sum_{i=1}^n y^2_i =1.3^2+3.25^2+0.65^2+6.5^2+5.85^2+8.45^2+6.5^2=202.8$

$\sum_{i=1}^n x_i y_i =34*1.3 + 32.5*3.25+ 35*0.65+ 31*6.5+30*5.585 +27.5*8.45 +29*6.5=970.45$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6895.5-\frac{219^2}{7}=43.929$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=970.45-\frac{219*32.5}{7}=-46.336$

And the slope would be:

$m=-\frac{46.336}{43.929}=-1.055$

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

$\bar x= \frac{\sum x_i}{n}=\frac{219}{7}=31.286$

$\bar y= \frac{\sum y_i}{n}=\frac{32.5}{7}=4.643$

And we can find the intercept using this:

$b=\bar y -m \bar x=4.643-(-1.055*31.286)=37.643$

So the line would be given by:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

5 0

4 years ago

Admission to the zoo costs $15 per person. Which graph correctly represents the total cost for a group to visit the zoo? Total C

vampirchik [111]

Admission to the zoo costs $15 per person.

The graph y = 15x correctly represents the total cost for a group to visit the zoo.

Given;

Admission to the zoo costs per person = $15

Let:

The total number of people visiting the zoo = x

The total cost for a group to visit the zoo = y

So, y ∝ x

y = 15x

Therefore, the graph y = 15x correctly represents the total cost for a group to visit the zoo.

3 0

2 years ago