Find the equation of the quadratic function F whose graph is shown below.
F(x) = ?

Answer:

14 units

Step-by-step explanation:

i think you just need to minus it to get the distance between it

like :

=point B - point A

=12 - (-2)

=12 +2

=14

so it 14 units

According to the number line the distance between  points A and B is 14 units.

A number system is defined as a system of writing to express numbers.

We need to find the  distance between points A and B.

The length along a line or line segment between two points on the line or line segment.

A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

The point A is at -2

The point B is at 12 on the number line

AB=OB-OA

=12-(-2)

=12+2

=14 units.

Hence, According to the number line the distance between  points A and B is 14 units.

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Answer:

2

Step-by-step explanation:

$52 7books $6 CB which means she brought 2 which is $12$8 TB and then 7-2 because he already brought 2 CB so that means that he brought 5TB which is 40 Then add 40 +12 = $52 for 7 books 

cookbooks be x

travel books be y

(1)×2

Subtract (3) from (1)

Now

The mean score of the class is: 84.5

The median score of the class is: 87

The modal score of the class is: 84.5

Mean = sum of all data points divided by the number of data points.

Median = the middle value of the ordered data.

Mode = the data point with the highest frequency or that appears the most.

Thus:

Arrange the data in ordered form:

60, 70, 75, 80, 80, 80, 80, 80, 80, 85, 87, 87, 87, 88, 90, 90, 90, 91, 92, 93, 95, 98

Mean = 1858/22

Mean = 84.5

Median = (87 + 87)/2 = 87

Mode = 80

Thus:

The mean score of the class is: 84.5

The median score of the class is: 87

The modal score of the class is: 84.5

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Answer:

x = 17

Step-by-step explanation:

The sum of all angle measures in any triangle is 180 degrees.

Step 1: Simplify both sides of the equation.

Step 2: Subtract 95 from both sides.

Step 3: Divide both sides by 5.

Step 4: Check if solution is correct.

Thus, x = 17.

Explanation:

The Law of Cosines can be used to write a quadratic in x. The desired form corresponds to its solution using the quadratic formula.

  [tex]L^2=r^2 +x^2 -2rx\cdot\cos{\theta}\\\\x^2-2rx\cdot\cos{\theta}+(r^2-L^2)=0[/tex]

Using the quadratic formula gives the positive value of x as ...

  [tex]x=\dfrac{-(-2r\cdot\cos{\theta})+\sqrt{(-2r\cdot\cos{\theta})^2-4(1)(r^2-L^2)}}{2(1)}\\\\\boxed{x=r\cos{\theta}+\sqrt{r^2\cos^2\theta+L^2-r^2}}[/tex]

[tex]\tt V=\dfrac{1}{3}\times base~area\times height\\\\V=\dfrac{1}{3}\times 8^2\times 12\\\\V=256~cm^3[/tex]

Answer:

By solving a system of equations, we will see that Train X travels 500km in 5 hours.

Remember the relation:

distance = speed*time.

First, if Sx is the speed of the train X and Sp is the speed of the train P, we know that:

Sx - 20 km/hr. = Sp

Then, we know that in the time T in which X travels 50 km, P travels 40km, we can write that as:

50km = Sx*T

40km = (Sx - 20km/hr)*T

So we have a system of equations.

Now we can solve this to find the speed Sx, to do it, we need to isolate T on one equation.

T = 50km/Sx.

Now we can replace that with the other equation:

40km = (Sx - 20km/hr)*50km/Sx.

Now we can solve this for Sx.

40km*Sx = (Sx - 20km/hr)*50km

40km*Sx = Sx*50km - 1,000 km^2/hr

40km*Sx - Sx*50km = -1,000 km^2/hr

-Sx*10km = -1,000 km^2/hr

Sx = (-1,000 km^2/hr)/(-10 km) = 100km/h

Now we want to know how long the train X takes to travel 500km, so we need to solve:

500km = 100km/h*T

500km/(100km/h) = 5h = T.

The train will travel 500km in 5 hours.

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Answer:

The answer to that is 371200ft2

Step-by-step explanation:

725 x 512 = 371200ft2

Answer:

the answer is 40 7\10

Step-by-step explanation:

7 2\5 x 5 1\2= 407\10 = 40 7\10

Answer:

l

Step-by-step explanation:

l

Answer:

15000

Step-by-step explanation:

150x100

15000

Answer:

$169 Is correct.

Step-by-step explanation:

We know that Melissa made $221 for 17 hours, so using this ratio, we can calculate how much she made for 13 hours as follows

13 hours× [tex]\frac{221}{17~hours} =[/tex] $169

Therefore, the answer is $169

Answer:

First problem: [tex]y(x)=\frac{1}{2}+e^x-\frac{1}{2}e^{2x}[/tex]

Step-by-step explanation:

Solve for Y(s) by taking the transform of every term

[tex]y''-3y'+2y=1,\:y(0)=1,\:y'(0)=0\\\\\mathcal{L}\{y''\}-3\mathcal{L}\{y'\}+2\mathcal{L}\{y\}=\mathcal{L}\{1\}\\\\s^2Y(s)-sy(0)-y'(0)-3[sY(s)-y(0)]+2Y(s)=\frac{1}{s}\\\\s^2Y(s)-s-3[sY(s)-1]+2Y(s)=\frac{1}{s}\\\\s^2Y(s)-s-3sY(s)+3+2Y(s)=\frac{1}{s}\\\\(s^2-3s+2)Y(s)-s+3=\frac{1}{s}\\\\(s-1)(s-2)Y(s)=\frac{1}{s}-3+s\\\\Y(s)=\frac{1}{s(s-1)(s-2)}-\frac{3+s}{(s-1)(s-2)}[/tex]

Perform partial fraction decomposition

[tex]Y(s)=\frac{1-3s+s^2}{s(s-1)(s-2)}\\\\Y(s)=\frac{s^2-3s+1}{s(s-1)(s-2)}\\ \\\frac{s^2-3s+1}{s(s-1)(s-2)}=\frac{A}{s}+\frac{B}{s-1}+\frac{C}{s-2}\\\\s^2-3s+1=A(s-1)(s-2)+B(s)(s-2)+C(s)(s-1)[/tex]

Solve for each constant

[tex]s^2-3s+1=A(s-1)(s-2)+B(s)(s-2)+C(s)(s-1)\\\\(2)^2-3(2)+1=A(2-1)(2-2)+B(2)(2-2)+C(2)(2-1)\\\\-1=2C\\\\-\frac{1}{2}=C[/tex]

[tex]s^2-3s+1=A(s-1)(s-2)+B(s)(s-2)+C(s)(s-1)\\\\(1)^2-3(1)+1=A(1-1)(1-2)+B(1)(1-2)+C(1)(1-1)\\\\-1=-B\\\\1=B[/tex]

[tex]s^2-3s+1=A(s-1)(s-2)+B(s)(s-2)+C(s)(s-1)\\\\(0)^2-3(0)+1=A(0-1)(0-2)+B(0)(0-2)+C(0)(0-1)\\\\1=2A\\\\\frac{1}{2}=A[/tex]

Take the inverse transform to solve the IVP

[tex]Y(s)=\frac{\frac{1}{2}}{s}+\frac{1}{s-1}+\frac{-\frac{1}{2}}{s-2}\\ \\y(x)=\frac{1}{2}+e^x-\frac{1}{2}e^{2x}[/tex]

Step-by-step explanation:

let aztecs = x

since the phantoms won 8 more than the aztecs

then, the phantoms = x + 8

and their combined win was 32

therefore

x + x + 8 = 32

2x + 8 =32

2x = 32 - 8

2x = 24 , x = 12

so , aztecs won 12 games and the phantoms won 20 games.

If this helped pls give brainliest

Answer:

because they made a mistake

Answer:

B. 7

Step-by-step explanation:

To find this out, first, we multiply 89*2, which is 178, the amount already spent on toner.

Then, we add 27 to this to find the total amount spent so far. This comes out to $205 spent so far.

To find out how much we have left to spend, we subtract the amount spent from the original.

400-205 = $195, the amount of money left.

To find out how much paper we can buy, we divide the cost of one paper box, by the amount of money we have left.

195/27 = 7.222222222222222222222222222222

Since we cannot buy 7.222222222222222222222222 boxes, we can only buy 7. This is the answer.

Answer:

the answers circle with circle with hat with circle

Answer:

See below

Step-by-step explanation:

(a) 4x - 22 = 74

(b) [tex] \dfrac{74 + 22}{4} [/tex]

(c) 24

Answer:

i think the answer is C

Step-by-step explanation:

i normally just do length divided by width to figure this out

Answer:

x = 2

Step-by-step explanation:

What is needed to solve this equation is a common denominator. With a common denominator, you can get rid of subtracted fractions.

First, factor the denominator on the left side of the equation:

[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2}{x+3} - \frac{1}{x-2}[/tex]

Then, create a common denominator on the right:

[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2}{x+3}(\frac{x-2}{x-2}) - \frac{1}{x-2}(\frac{x+3}{x+3})[/tex]

[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)}[/tex]

Put everything on one side:

[tex]0 = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)} - \frac{3}{(x + 3)(x - 2)}[/tex]

[tex]0 = \frac{2(x - 2) - 1(x + 3) - 3}{(x+3)(x-2)}[/tex]

[tex]0 = \frac{2x - 4 - x - 3 - 3}{(x+3)(x-2)}[/tex]

[tex]0 = \frac{x - 10}{(x+3)(x-2)}[/tex]

set each term equal to zero:

x - 10 = 0

x = 10

x + 3 = 0

x = -3

x - 2 = 0

x = 2 is the answer, since it is the only answer which is listed in the multiple choice question.

The interior angles of any triangle sum to 180° in measure, and in ∆ABC, the angles at vertices A and C are congruent. If we call their measure a, then

24° + 2a = 180°   ⇒   2a = 156°   ⇒   a = 78°

The angle at vertex C and the angle with measure (2x - 18)° are supplementary, meaning they add up to 180° :

a + (2x - 18)° = 180°

Solve for x :

78° + (2x - 18)° = 180°

(2x - 18)° = 102°

2x = 120

x = 60

Answer: 16.96

Step-by-step explanation: 3.99 times 2 = 7.98 4.49 times 2 = 8.98

8.98 + 7.98 = 16.96

Answer:

answer is c

Step-by-step explanation:

178.08 oz = 11.13 lb

11.13-10.91 = 0.22 lb

Mittens is heavier than Tiger by 0.22 pounds.

Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.

Given that;

Rachel weighed her two cats, Tiger and Mittens.

Tiger weighed 10.91 pounds,

And, Mittens weighed 178.08 ounces.

Now, To compare the weights:

First, we convert the weights into ounces.

1 pound = 16 ounces.

Tiger weighed 10.91 pounds.

That means,

= 178.08 / 16

= 11.13 pounds.

And 11.13 > 10.91

Now, Subtracting the weights,

11.13 - 10.91 = 0.22 pounds

Therefore, Mittens is heavier by 0.22 pounds.

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Using the z-distribution, as we are working with a proportion, it is found that the 95% confidence interval for the difference in the proportions of teenagers with access to smartphones in 2017 and in 2013 is of (0.393, 0.507).

In 2017, 450 out of 600 students had access, hence:

[tex]p_1 = \frac{450}{600} = 0.75, s_1 = \sqrt{\frac{0.75(0.25)}{600}} = 0.0177[/tex]

In 2013, 120 out of 400 students had access, hence:

[tex]p_2 = \frac{120}{400} = 0.3, s_2 = \sqrt{\frac{0.3(0.7)}{400}} = 0.0229[/tex]

For the distribution of differences, we have that the mean and the standard error are, respectively, given by:

[tex]p = p_1 - p_2 = 0.75 - 0.3 = 0.45[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0177^2 + 0.0229^2} = 0.0289[/tex]

It is given by:

[tex]p \pm zs[/tex]

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

Then:

[tex]p - zs = 0.45 - 1.96(0.0289) = 0.393[/tex]

[tex]p + zs = 0.45 + 1.96(0.0289) = 0.507[/tex]

The 95% confidence interval for the difference in the proportions of teenagers with access to smartphones in 2017 and in 2013 is of (0.393, 0.507).

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Answer:

0.45+-0.057

Step-by-step explanation:

Answer:

It would be the first option 8x-8y=32