if f(x) = 2x^2 +1 and g(x) = 3x-2 what is the value of f(g(x))

1 tick represents 8 units

The distance is 6.18 miles that Jacob walks as a function of the number of laps which is represented in the attached graph.

We have been given the relation below:

{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}

The distance between two points is defined as the length of the line segment between two places representing their distance.

The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².

The given relation of function is represented in the attached graph.

Take two endpoints (3, 0.75) and (9, 2.25)

x₁ = 3, y₁ = 2.25

x₂ = 4, y₂ = 9

distance = √ (9 – 3)² + (2.25 – 0.75)²

distance = √ (6)² + (1.5)²

distance = √ (36 + 2.25)

distance = √ (38.25)

distance = 6.18 miles

Therefore, the distance is 6.18 miles that Jacob walks is a function of the number of laps.

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Answer:

y = -2x - 1

Step-by-step explanation:

Put y on the left and everything else on the right

Answer:

24 Square Inches

Step-by-step explanation:

Step-by-step explanation:

similar triangles mean that all angles are the same, and the side lengths of one triangle correlate to the corresponding sides of the other triangle by the same factor.

that means that the sides 2 (ED) and x (CB) have the same relation as the 6+4 (AD) and the 6 (AB) sides.

so,

x/2 = 6/(6+4) = 6/10 = 3/5

x = 2 × 3/5 = 6/5 = 1.2

Answer:

0.278

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

...

The information that was given to Harry about Crouch was that it was Crouch who gave the order for him to be sent to the wizard prison without a trial.

It should be noted that when Harry went to Hogsmeade, he brought food for Sirius and he was still in his dog form. Sirius then led them to a cave.

In the cave, they saw Buckbeak, the hippogriff. Sirius then turned back to a human being. He then gave Harry the piece of information that Crouch gave the order for him to be sent to Azkaban which was a prison for wizards.

Learn more about Harry on:

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Answer:

  (x, y) = (22, 35)

  base angle theorem; angle sum theorem

Step-by-step explanation:

Base angles theorem:

Angles opposite congruent sides are congruent:

  3x -11 = 2x +11

  x = 22

__

Angle sum theorem:

The sum of angles in a triangle is 180°.

  (3x -11)° +(2x +11)° +2y° = 180°

  5x° +2y° = 180°

  2y = 180 -5(22) . . . . . divide by °, subtract 5x, substitute for x

  y = 35 . . . . . . . . . divide by 2

Using the z-distribution, it is found that the p-value is of 0.03.

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

[tex]H_0: p = 0.5[/tex]

At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

[tex]H_a: p \neq 0.5[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]

[tex]z = -2.12[/tex]

The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.

To learn more about the use of the z-distribution for hypothesis tests, you can take a look at https://brainly.com/question/16313918

Answer:

Step-by-step explanation:

X + Y =  28500 (Equation 1).

1.11X + .9Y = 29010 (Equation 2).

Answer:

[tex] {10}^{12} = 1000000000000[/tex]

[tex]3 \times {10}^{12} = 3000000000000[/tex]

[tex] {10}^{11} = 100000000000[/tex]

[tex]4 \times {10}^{11} = 400000000000[/tex]

Step-by-step explanation:

The value of 3 × 10¹² is greater than 4 × 10¹¹

The standard scientific expression is given as A * 10^n

For the notation 3 × 10¹², we can see that the power is 12 while for the notation  4 × 10¹¹, the power is 11. Since 12 is greater than 11, hence the value of 3 × 10¹² is greater than 4 × 10¹¹

Learn more on scientific values here: https://brainly.com/question/1522308

Since you go to school for 5 days a week, the answer is going to be 550.25 for 15.5 weeks.

Hope that helped?

Answer:

15.5 weeks of school lunch would cost $550.25

Step-by-step explanation:

The unit rate is already given here, so all you need to do here is multiply the cost per week by the number of weeks. You can even think of it as canceling out the weeks:

[tex]\frac{cost}{week}\times week=cost[/tex]

[tex]35.50\times15.5=550.25[/tex]

15.5 weeks of school lunch would cost $550.25

You could also write this as a linear equation with a slope of 35.5 and a y-intercept of 0:

[tex]y=35.50x[/tex]

A.3n+4+3n+4+4n

=3n+3n+4n+4+4

=10n+8

B.11n+4+n-12

=11n+n+4-12

=12n-8

C.6(6n-2)

=36n-12

D.4(3n-2)

=12n-8

E.4n+22-12+8n

=4n+8n+22-12

=12n+10

so,B and D are the expressions that are equivalent to 12n-8.

Answer:

38

Step-by-step explanation:

1/2(10p-7q)

1/2(10(9)-7(2))

1/2(90-14)

1/2(76)

76/2

38

Answer:

D) r=-0.9

Step-by-step explanation:

Recall that when [tex]|r|[/tex] is closest to 1, the stronger the correlation between the variables. In this case, while [tex]|0.8|=0.8[/tex], [tex]|-0.9|=0.9[/tex] is actually larger and shows a stronger negative correlation between random variables. Therefore, D is correct.

Answer:

y=3

Step-by-step explanation:

m=0

b=3

Answer:200$

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

[tex]5 * (-6 / -1+ -10)[/tex]

According to PEMDAS, we need to do the math in the parentheses first.

[tex]-6 / -1 + -10[/tex]

Applying PEMDAS to the inside of the parentheses, then we have to divide -6 by -1, where we would get 6.

[tex]6 + -10[/tex]

Adding a negative is the same as subtracting, so adding negative 10 is the same as subtracting 10.

[tex]6 - 10[/tex]

Subtracting, we get 6 - 10 = -4 and we're left with:

[tex]5 * (-4)[/tex]

Multiplying, our final answer is -20.

Hope this helps!

Answer: Evan is incorrect

Step-by-step explanation:

20/20 - 25 x 100 =

5/20 x 100/1 =

500/20

500/20 = 20%

Evan would only be correct is he doubled the 20 hours to make it 40 hours

Hope this helps✌

Answer:

B

Step-by-step explanation:

     Leadership roles help the group manage relationships

[] Leadership is the action of leading a group of people or an organization, so this best completest the answer

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

Answer:

there is no way to solve for y, but if your solving for x then x=4/5 and in decimal form it is x=0.8    hope that helps

Step-by-step explanation:

Answer:

x=-7, y=-9. (-7, -9).

Step-by-step explanation:

-3x+4y=-15

4x-y=-19

---------------

y=4x-(-19)

y=4x+19

-3x+4(4x+19)=-15

-3x+16x+76=-15

13x=-15-76

13x=-91

x=-91/13

x=-7

4(-7)-y=-19

-28-y=-19

y=-28-(-19)

y=-28+19

y=-9

Y = x^2 -3

y = (x-3)(x+3)

For x-intercepts, y = 0

Therefore (x-3)(x+3) = 0

x intercepts are (3,0) and (-3,0)

The line of symmetry is x = 3+(-3) = 0

Vertex is on the line of symmetry

When x = 0, y = -1

Vertex = (0,-1)

Answer:

The answer is equal to 0

Step-by-step explanation:

Explanation in the picture.

Given that Angelo spends the same amount everyday from the amount in

the lunch card, the function of the amount remaining is a linear function.

Reasons:

The amount Angelo's mother put on the lunch card = $50

A possible table of values to the question is presented as follows;

[tex]\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right][/tex]

Required:

The constant rate of the function that gives the amount remaining from the

amount Angelo's mother put on his lunch card.

Solution:

The two ordered pair that can be used to find the slope or constant rate of change are;

(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)

With the above two ordered pairs, we have the constant rate of change of the function given as follows;

[tex]Constant \ rate \ of \ change\ (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}[/tex]

The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25

Learn more about the constant rate of change of a function here:

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Answer:

(1,4)

Step-by-step explanation:

It was either (1,3) or (1,4) but there was no (1,3) so (1,4).

Hopes This Helps :)

Answer:

a) 43 - 15

b) 28