Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit
earned at that price, y. Write a quadratic regression equation for this set of data,
rounding all coefficients to the nearest tenth. Using this equation, find the profit, to
the nearest dollar, for a selling price of 14.25 dollars.

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today!

We can solve this problem in two steps, one being comprehension and another being solving. I'll start off with comprehension.

Comprehension

We can start to solve this problem by looking at it.

We can see that there is a right angle, therefore the angles that are in it are Complementary (Add up to 90).

That means that 30+3x=90.

We can now begin solving.

Solving

We can start solving by setting up an equation.

[tex]30+3x=90[/tex]

We can do this because we know due to the law of complementary angles that 30 and 3x MUST equal to 90.

[tex]3x=60\\x=20[/tex]

We can do basic algebra, we can find out that x is equal to 20 degrees. Let's now check our answer.

[tex]30+3(20)=90?\\30+60=90?\\90=90[/tex]

Therefore the answer is x=20 degrees

Cheers!

Answer:

1/46,656 and Brad and Laura ARE like using unfair number cubes.

Step-by-step explanation:

Answer:

y=2x^2+1

Step-by-step explanation:

a quadratic equation has a x^2 term

Answer:

no solution

Step-by-step explanation:

3(x-8)=x+2x+7

3x-24=3x+7

there is no solution bc both sides, when simplified, that x is not defined.

you end up canceling the 3x in both sides and so,

-24 does not equal 7

Answer:

A

Step-by-step explanation:

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

slope m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2 - y1}{x2-x1}[/tex]= [tex]\frac{4-(-1)}{2-0} = \frac{5}{2}[/tex]

Answer:

Step-by-step explanation:

Lol hi

Answer:

214.5 usd

Step-by-step explanation:

blc we will do 650 times 11 .over 100 to get the annual the multiply it by 3

HOPE HELPED!!

Answer:

432

Step-by-step explanation:

Answer:

432

Step-by-step explanation:

[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]

Now, at first, we solve the numerator:

[tex](14-3^{2}+1 )^{2}[/tex]

=[tex](14-9+1)^{2}[/tex]

=[tex](15-9)^{2}[/tex]

= [tex]6^{2}[/tex]

= 36

Now let's solve the denominator:

1 ÷ 3 ×  [tex]\frac{1}{4}[/tex]

=[tex]\frac{1}{3} . \frac{1}{4}[/tex]

=[tex]\frac{1}{12}[/tex]

Hence,

[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]

=  [tex]\frac{36}{1/12}[/tex]

= 36 x 12

= 432

Answer:

y= 2x -9

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

[tex]\boxed{slope = \frac{ y_{1} - y_2}{x_1 - x_{2}} }[/tex]

Slope

[tex] = \frac{ - 1 - ( - 5)}{4 - 2} [/tex]

[tex] = \frac{ - 1 + 5}{2} [/tex]

[tex] = \frac{4}{2} [/tex]

= 2

Substitute m= 2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= -1,

-1= 2(4) +c

-1= 8 +c

c= -1 -8

c= -9

Thus, the equation of the line is y= 2x -9.

Answer:

2×[tex]10^{5}[/tex]

aka 200000

Step-by-step explanation:

Answer:

Y=4

Step-by-step explanation:

Let's solve your equation step-by-step.

2y+29−8y=5

Step 1: Simplify both sides of the equation.

2y+29−8y=5

2y+29+−8y=5

(2y+−8y)+(29)=5(Combine Like Terms)

−6y+29=5

−6y+29=5

Step 2: Subtract 29 from both sides.

−6y+29−29=5−29

−6y=−24

Step 3: Divide both sides by -6.

−6y/-6=-24/-6

y=4

Hope this Helps

Answer:

2 and 4/9ths

Step-by-step explanation:

2 ⁴/9 is equal to 2.4 constant

Answer: 28.666666666666667

Step-by-step explanation: 85 - 30 - 12 = 43. 43 ÷ 1.50 = 28.666666666666667

Answer:

Perimiter would be 30cm

Step-by-step explanation:

3+3+6+3+6+3+6

[tex]\text{Conjugate of -3-4i is -3+4i}\\\\|-3-4i| = \sqrt{(-3)^2 + (-4)^2} = \sqrt{9+16} = \sqrt{25} =5[/tex]

Answer:

7 not 7 full rows though

Step-by-step explanation:

3h/7-11=2×23/28

h=25/2

Answer:

C or B of are the answer choices left hope this helps

Answer:

271.433606 (in, cm, or whichever unit)

Step-by-step explanation:

To find the areas of the ends of the cylinder, the circles, you would use the formula:

2(π * r²)

The diameter is twice the length of the radius so to find the radius, you would divide the length of the diameter in half. So with a diameter of 10.8 units, it would become 5.4 units.

2(π * 5.4²) = 183.217684

To find the surface area of the rectangle of the cylinder, you would multiply the circumference of the base of the cylinder by the height. The formula to find the circumference is 2πr. The circumference would be 33.9292007 units. 33.9292007 * 2.6 = 88.2159218.

Then add the areas to find the total.

183.217684 + 88.2159218 = 271.433606

Answer:

equation of line of best fit:  y = -.018x + 7.3

y-intercept = 7.3

correlation coefficient = -.018

correlation coefficient indicates there is no correlation between the x-and-y values

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's consider the points (0 , -1) and (1 , 2) to find the slope of given line ~

I hope it helps ~

Answer:

After looking at the image you posted, I deduced that the correct answer should be slope= 3.

Step-by-step explanation:

I came to this conculsion by using the formule slope= [tex]\frac{rise}{run}[/tex] or [tex]\frac{y-axis}{x-axis}[/tex]

Firstly:

I identified the position of the two points. The first points position being (-1, 0) and the second being (1, 2).

Secondly:

I then found the difference between the two points on the graph to be

(1,3) or (x=1, y=3).

Thus:

The [tex]\frac{rise}{run}[/tex] of the two points is [tex]\frac{y=3}{x=1}[/tex] or 3.

Answer:

7

Step-by-step explanation:

17 +4 = 21

21/3 = 7

Answer:

$8640

Step-by-step explanation:

Step 1:

The total amount of the car currently is $45,000. The car depreciates by 10% for the next 3 years. Then multiply 3 to 45,000.

3 × 45,000 = 135,000

The price then decreases by 10%. So, find 10% of 135,000

[tex]10\% = \frac{10}{100}[/tex]

[tex]135000=\frac{135000}{1}[/tex]

[tex]\frac{10}{100}\times \frac{135000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{10}{1}\times \frac{1350}{1}[/tex]

Multiply across

[tex]10\times1350 = 13500[/tex]

Therefore, for the three years, the cars price is now $13,500.

Step 2:

The next step is the same as the first one. But now the car currently is $13,500. And The car depreciates by 8% for the next years. We have to find the value in 8 years. Then multiply 8 to 13,500.

8 × 13,500 = 108,000

Now, find 8% of 108,000

[tex]8\% = \frac{8}{100}[/tex]

[tex]108000=\frac{108000}{1}[/tex]

[tex]\frac{8}{100}\times \frac{108000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{8}{1}\times \frac{1080}{1}[/tex]

Multiply across

[tex]8\times1080 = 8640[/tex]

Therefore, the value of the vehicle in 8 years is $8640.

There are 75 dimes in the box. This is because all of the pennies, nickels and quarters is 14.20$. So subtracting the full total 21.70 bu 14.20 gives us 7.50$. Which is 75 dimes.

Answer:

3.1 sec.

Step-by-step explanation:

See attached

(If this is incorrect, please add in parentheses so I can make sure I have the order correct. Thank you.)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Hi there!

-7(11) is equivilent to -7*11 which equals -77.