Can anyone help me calculate the average rate of change of f(x)?

Functions must pass the vertical line test. This means that for every x value there must be ONLY ONE y value.

We can see in this table that the x value 25 has two different y values. Therefore, this is NOT a function.

Hope this helps!

Answer:

yes

Step-by-step explanation:

If the line only goes through one point once than yes. Vertical line test.

Note: "While a function may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value. Function: each x-value has only ONE y-value!"

The volume of the given solid prism is: 3 × 3 × 5 = 45 units³

The volume of any solid prism = base area of prism × height of the prism.

Given the following dimensions of the solid prism:

Volume of the solid prism = 9 × 5 = 45 units³

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Answer:

-0

Step-by-step explanation:

In the Screenshot...….

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

c=5

Step-by-step explanation:

4(c-3)=8 Distribute

4c-12=8 Add 12 to both sides

4c=20 Divide by 4 on both sides

c=5

Answer:

Step-by-step explanation:

METHOD 1:

4(c - 3) = 8    |divide both sides by 4

4(c - 3)/4 = 8/4

c - 3 = 2     |add 3 to both sides

c - 3 + 3 = 2 + 3

c = 5

METHOD 2:

4(c - 3) = 8     |use the distributive property: a(b - c) = ab - ac

4 · c - 4 · 3 = 8

4c - 12 = 8      |add 12 to both sides

4c - 12 + 12 = 8 + 12

4c = 20     |divide both sides by 4

4c/4 = 20/4

c = 5

Answer:

∠B = 84

Step-by-step explanation:

Supplementary angles add up to 180°, You would subtract 96 from 180 to find angle B.

Answer:

=> ∠B = 84

Step-by-step explanation:

Given :

∠A + ∠B = 180°

∠A = 96°

=> 96° + ∠B = 180

=> ∠B = 180-96

=> ∠B = 84

Answer:

102feets

Step-by-step explanation:

sin 65=92÷x

0.906=92÷x

x=102

The piecewise function of the travel of the car is now described in detail:

[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]  

[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex],  [tex]0.5\le t < 3.5[/tex]  

[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex],  [tex]3.5\le t \le 4[/tex]  

A piecewise function is a group of functions working on certain intervals, which corresponds to three expressions in this case. Likewise, the car moves at constant speed and the resulting distance is equal to the sum of initial position ([tex]x_{o}[/tex]), in miles, and the product of speed (v), in miles per hour, and time (t), in hours.

Then, the piecewise function of the travel of the car is now described in detail:

[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]   (1)

[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex],  [tex]0.5\le t < 3.5[/tex]   (2)

[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex],  [tex]3.5\le t \le 4[/tex]    (3)

The map with key information of velocities is missing. We proceed to show the required information:

City - 30 miles per hour

Highway - 60 miles per hour

Mountain - 45 miles per hour

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Answer:

total - given, 360 -139 = 221

Answer:

it may be C im sorry if its wrong

Step-by-step explanation:

please mark me the brainiest

Answer:

The answer is a negative correlation.

Step-by-step explanation:

It is a negative correlation because when the y variable tends to decrease as the x variable increases, you can say there is a negative correlation between the variables.

Answer:

Step-by-step explanation:

Part B: A"C

I don't recognize this problem, please make sure the input is complete.

Answer:

d

Step-by-step explanation:

Answer: The answer is B.) The experimental probability of landing on red is 1/5.

Step-by-step explanation:

Have a great day

[tex]4b(b+2)=16+4b^2\\4b^2+8b=16+4b^2\\8b = 16 + 4b^2-4b^2\\8b = 16\\b = 2[/tex]

Hope that helps!

By evaluating the given relation, we conclude that the correct options are A, D, and G.

We have the relation:

k = ∛(V/7)

Such that this relation gives us pairs of the form (V, k).

So, to check if the points belong to the graph of the relation, we need to evaluate the points on the given relation and see if the relation is true.

A) (0, 0) gives:

Evaluating in V = 0

k = ∛(0/7) = 0

So this point belongs.

B) (1, 1) gives:

k= ∛(1/7) = 0.52

So we have the point (1, 0.52) and the point  (1, 1)  then does not belong to the graph.

We just need to do that for all the points, evaluate V and see if k gives the same value as in the point.

With this method, we will see that the correct options are:

D) (7, 1)

k= ∛(7/7) = 1

G) (56, 2)

k= ∛(56/7)  =   ∛(8) = 2

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Answer:

x = -1

Step-by-step explanation:

"An undefined slope" indicates that the line in question is a vertical one.  The coordinate x = -1 tells us that the equation of the line is just that:  x = -1.

A necessary step for constructing perpendicular lines through a point on a line is D. Draw arcs on either side of a given point of the line.

A perpendicular line simply means the lines that intersect at 90 degrees.

In this case, a necessary step for constructing perpendicular lines through a point on a line is to draw arcs on either side of a given point of the line. This can be done by opening the compass bans marking two points of intersection between the arcs in a given line.

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Answer:nj

Step-by-step explanation:

j

Answer:

114

Step-by-step explanation:

You first have to do L x W x H

which will be 9.5 x 4 x 3

that gives you 114

which is the answer 114!!

Step-by-step explanation:

it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).

what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.

since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).

and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.

AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).

the area of this triangle AOB is

1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =

= 3.897114317... m²

a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).

so, it's area is

pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²

so, the total area of the shaded area is

3.897114317... m² + 4.71238898... m² =

= 8.609503297... m²

The area of the shaded portion of the circle is A = 8.61 m²

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the area of the shaded region be A

Let the radius of the circle be r = 3 m

The triangle ΔAOB is an isosceles triangle with side lengths = 3m

The area of the triangle ΔAOB = ( 1/2 ) x 3 x 3 x sin (120)

On simplifying the equation , we get

The area of the triangle ΔAOB = 3.897 m²

Now ,

There are 2 sectors , with sector angle = 30°

The area of the two sectors = 2 x ( 30/360 ) x π x 3²

On simplifying the equation , we get

The area of the two sectors = 2 x 2.357

The area of the two sectors = 4.714 m²

Now ,

The area of the shaded region of circle A = area of the two sectors + area of the triangle ΔAOB

Substituting the values in the equation , we get

The area of the shaded region A = 4.714 + 3.897

The area of the shaded region A = 8.611 m²

Therefore , the value of A is 8.611 m²

Hence , the area is 8.611 m²

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Answer: If you need help on both here are both answers.... Answer 1- f(x)=6.50x+48.00 because Let

x ----> the number of adult tickets

f(x) ----> amount of money collected

To find the amount collected multiply the number of adult tickets by the cost and multiply the number of student tickets  by the cost, and then sum the two quantities

The linear equation that represents this problem is

f(x)=6.50x+4.00(12)

f(x)=6.50x+48.00

and for Answer 2- Is 4

Question 4:

   2x + 3y = 17    -- equation 1

   5x + 6y = 32  -- equation 2

    (equation 1) * 2

    4x + 6y = 34 -- equation 3

    (equation 2) - (equation 3)

     x = -2 -- equation 4

     plug (equation 4)'s value of x into (equation 1)

     2(-2) + 3y = 17

     3y - 4 = 17

      3y = 21

         y = 7

      Thus the answer is x = -2 and y = 7

Question 5:

  The vertex form of a quadrilateral looks like this:

      [tex]y = a(x-h)^2 + k[/tex]

    The x-coordinate of the vertex is equal to '-b/2a'. Where b is the

     coefficient of x, so:

          [tex]h = -\frac{b}{2a} =-\frac{-8}{2*1} =4[/tex]

    There is also another formula to find the y-value of the vertex

    coordinate, but the easier way to find it is to plug it into the original

    equation:

        [tex]k=(4)^2-8(4) + 12= 16 -32 + 12 = -16 + 12 = -4[/tex]

    Since we know now that h = 4 and k = -4 and that a = 1, lets plug it into

    the original equation.

       [tex]y = 1*(x-4)^2 - 4 =(x^2-4)-4[/tex]

     Thus the answer is [tex]y = (x-4)^2 -4[/tex]

Hope that helps!

Answer:

  2 ft, 7 ft

Step-by-step explanation:

We are interested in the values of x such that g(x) = h(x). These will be solutions of the difference g(x) -h(x) = 0. Hence the x-intercepts of a graph of g(x) -h(x) will be solutions to the problem.

__

The graph shows the difference between the paths will be zero at distances of 2 feet and 7 feet.

Answer:

3(9e + 8)

Step-by-step explanation:

the highest common factor is 3 so factor it out.

Answer:

[tex]\displaystyle 3[9e + 8][/tex]

Explanation:

Sinse you were not specific in your approach, it is safe to assume that you were probably looking for how to factour this expression, and the way to do to this is to factour a 3 out the expression sinse both quantities have a common divisour of 3:

24: 1, 2, 3, 4, 6, 8, 12, 24

27: 1, 3, 9, 27

I am joyous to assist you at any time.

Answer:

Choice a 10 cm

Step-by-step explanation:

Volume of a sphere; 4/3 x 3.14(r^3)

Since we dont know the radius aka r, we can put in the different values until we get what we are looking for :)

!!!used an online calculator for this!!!

Choice a: 4188.79

Choice b: 50965.01

Choice c: 38792.39

Choice d: 5575.2

Since none of the answers are coming out as 4846.59, I would go with the closest one, choice a.

I really hope this helps!!

Please rate!!

Have a wonderful day!!

Answer:

37.69

Step-by-step explanation:

There are 3 circles

Circle A ( radius = 6 cm )

Circle B ( radius = 4 cm )

Circle C ( radius = 2 cm )

the circumference of a circle is C = 2 Pi x r

from each circle we need half of the circumference

Circle A : P = 2pi x 6 / 2 = 6 pi

Circle B : P = 2pi x 4 / 2 = 4 pi

Circle C : P = 2pi x 4 / 2 = 2 pi

the perimetee of the shaded shape is = 6 pi + 4 pi + 2 pi = 12 pi = 37.69 cm

Answer:

you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.

And if you subtract a constant from your y in the original function you move its graph down by that number of units.

Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.

And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:



Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.



Answer link



Harold Walden

Jan 15, 2018

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

Step-by-step explanation:

you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.

And if you subtract a constant from your y in the original function you move its graph down by that number of units.

Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.

And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:



Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.



Answer link



Harold Walden

Jan 15, 2018

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

I hope it helps :)

Answer link

A translation of (x - 3, y + 4) means that each point in the original graph is moved horizontally by 3 units to the right and vertically by 4 units upward to create a new graph.

For any point (x, y) on the original graph, the corresponding point (x', y') on the translated graph is obtained by adding:

x' = x - 3

y' = y + 4

This type of translation is also known as a "horizontal translation to the right by 3 units" and a "vertical translation upward by 4 units." The "x - 3" part represents the horizontal movement, and the "y + 4" part represents the vertical movement.

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Answer:

B. There is not convincing evidence because the interval contains 0.

Step-by-step explanation:

Answer:

UM make a graph if you want so yea

Step-by-step explanation:

[tex]\\ \rm\rightarrowtail x^2-4x+3[/tex]

Use quadratic formula

[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm\sqrt{16-12}}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm 2}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=2\pm 1[/tex]

[tex]\\ \rm\rightarrowtail x=3,1[/tex]

It has one solution :)