Find the range of this function

Answer: Choice B

h(c) = 1 for at least one c between -3 and 4

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Explanation:

Draw an xy axis system. Plot the points (-3,-1) and (4,2) on this grid. These points come from the fact that h(-3) = -1 and h(4) = 2. These are the endpoints of the h(x) function.

Next, draw horizontal lines through both points. Also, draw vertical lines through the two points as well. A rectangle will form.

The region inside this rectangle is all we care about.

We're told that h(x) has endpoints mentioned earlier, and h(x) is continuous, so that means we have some curve or line through the two points. One such example is shown below. There are infinitely many possible curves to draw out as long as they stay in the rectangle.

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After you have your h(x) function curve drawn, draw a horizontal line through y = 1 on the y axis. This is the dashed line in the diagram below.

This horizontal line crosses the green h(x) curve at one point or more. In my example, it does so at one point only. However, you could easily draw h(x) so that it crosses y = 1 as many times as you want (just have it squiggle up and down multiple times).

This shows that h(c) = 1 is possible when [tex]-3 \le c \le 4[/tex]. Here c is playing the role of x since it is the input of a function. The h(c) is the output, so that's the y value.

This says that for some input between -3 and 4, it's possible to get an output of 1.

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Here's a real world example of the intermediate value theorem.

Let's say the endpoints are A and B, and they are two towns.

The h(x) curve is a road connecting the towns.

To go from A to B, or vice versa, we need to cross over some border that is between the towns. The border in this case is the dashed horizontal line in the diagram.

side note: A special use of the intermediate value theorem is to show that a root exists on some interval (if you know the function changes between positive to negative, or vice versa).

Answer:

$0.50

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

5.00 divided by 25

Answer:

p = -30.3

Step-by-step explanation:

Answer:

p=  −91/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of the swimming pool is 8m longer than it's width.

If we say L = length, W = width

From the information above, we can say

L= 8 + w

We are also told the area is 105 m squared.

Note:

Area of a Rectangle = Length x Width

105 =  (8 + w ) x w

[tex]105 = 8w + w^2\\[/tex]

Subtract 105 from both sides:

[tex]w^2 + 8w - 105 = 0[/tex]

Answer:

p = 12n

Step-by-step explanation:

Given parameters:

     Number of pencils in each pack = 12 pencils

    Number of packs bought  = n

Unknown:

equation for total number of pencils, p = ?

Solution:

  Total number of pencils = number of pencils in each pack x number of packs bought

   Input parameters:

           p  = 12 x n

           p = 12n

Answer:

the answer is 6

Step-by-step explanation:

Answer:

6! Hope this helps have a great night!!!!

Step-by-step explanation:

May I plz have brainliest?

Answer:

!7 hope this helps:)

Step-by-step explanation:

Answer:

upside down so i might be wrong but the ratio is 3/2

Step-by-step explanation:

3:2 milk to ice cream

other ratios would be

6:4 9:6 12:4 15:5

(the question is slightly confusing but I think this is what they are asking for. )

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

14%. 14.5 = 14% = 0.14

Answer:

Step-by-step explanation:

b-5 ≤ 16

Answer:

b - 5 ≤ 16

Step-by-step explanation:

Answer:

ruler(×,y)=(20,20)

Step-by-step explanation:

sorry if its wrong

anyways are you using a mac?

Answer:-1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(−x+4)−3x+2=−5

(−2)(−x)+(−2)(4)+−3x+2=−5(Distribute)

2x+−8+−3x+2=−5

(2x+−3x)+(−8+2)=−5(Combine Like Terms)

−x+−6=−5

−x−6=−5

Step 2: Add 6 to both sides.

−x−6+6=−5+6

−x=1

Step 3: Divide both sides by -1.

−x −1 = 1 −1 /x=−1

Answer:

x=−1

Answer:

20???

Step-by-step explanation:

Answer:

yes

no

yes

no

yes

______

Answer:

Your answer is: It is already rounded to the nearest thousandth.

If you rounded to the nearest hundred your answer is: 1.40 or 1.400

If you rounded to the nearest tenth your answer is: 1.4

Step-by-step explanation:

Hope this helped : )

Answer:

The coordinates would be A(6,2), B(7,6), C(3,5), D(2,1)

Step-by-step explanation:

When conducting a 180 degree rotation, you can just reverse the points to get your answer.

The required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).

Given that,
Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin is to be determined.

Coordinate, is represented as the values of positions on the x-axis and y-axis of the graph

here,
Given the coordinates of the rhombus, A(2,6), B(6,7), C(5,3), and D(1,2).
Now, after rotation through 180° around the origin is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2), because while rotating the rhombus it would go to the third quadrant.

Thus, the required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).

Learn more about coordinate here:

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Answer:

Kindly check explanation

Step-by-step explanation:

3 boxes or less = Cost of tiles = $48

4 - 8 boxes ;  cost = $45

9 - 19 boxes ; cost = $42

> 19 boxes ; cost = $38

Cost of purchasing 5 boxes of tiles :

$45 * 5 = $225

Cost of purchasing 19 boxes :

$42 * 19 = $798

Answer:

Select all the equations that have the same solution as the equation 3x-12=24

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

5.78575184279 rounded to the nearest whole number is 6.

To round off the number 5.78575184279  to the nearest whole number.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
Number = 5.78575148279
Since the number after decimal place is .7 which is close to 1.0 so the round of the number gives 6.

Thus, 5.78575184279 rounded to the nearest whole number is 6.

Learn more about arithmetic here:

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Answer:

this is a system of equations , and it's no surprise that it's tricky for you. these are tricky for anyone.

Step-by-step explanation:

X=adults

Y=children

I only know to make these two equations from experience doing these types of questions.

X+Y=800

7X +5Y=4600

there are a few ways to solve this , i"m just going to multiply the first equatlion by 7 and the subtract  the 2nd  from that whole equation.

7(X +Y=800)

7X +7Y = 5600

-(7X +5Y =4600)

0X +2Y = 1000

Y  = 500   ( 500 children went to the movies )

by inspection  you can probably see that 300 adults had to go too

500 kids

300 parents

also that's 4600 dollars to let those people in

7(300) + 5(500) = 4600

2100 + 2500 = 4600

9514 1404 393

Answer:

  558

Step-by-step explanation:

Let p represent the student population at Edison Jr High. Then we know ...

  (4/9)p = 248 . . . . . 248 students is 4/9 of the student population

  p = 248(9/4) = 558 . . . multiply the equation by 9/4

558 students attend Edison Jr. High.

Answer:

y=10x+4

Step-by-step explanation:

Answer:

y=10x+4

Step-by-step explanation:

Answer:

x=54º

Step-by-step explanation:

So the angle is a 90º angle because of that square so you subtract 36 by 90 which will become 54

Hope this helps!

Answer:

x= 54º

Step-by-step explanation:

Let's break this down...

First, you have to look at the whole angle and if you are lucky you find a square.

The square is always equal to 90º

So to find x you need to subtract 90 and 36 which is 54

Hope this helps!

Answer:

B. 100,000

Step-by-step explanation:

Answer: 100 000 combinations

Step-by-step explanation: You can have up to 10 combinations for each digit, times the number of... Numbers you want.

Answer: A

a = 3, b = –2, c = π

Step-by-step explanation:

The values of a, b and c for the function such that the graph of f matches the figure are;

a = 3, b = -2, c = π

We are given the equation as;

f(x) = a sin(bx - c)

Now, the general form of equation of a sinusoidal wave is;

y = Asin(ωt + ϕ)

Where;

A is the amplitude of the wave

ω is the wave's angular frequency,

ϕ is the phase of the sine wave in radians.

Comparing that general equation to the one we are given, we have;

a as the amplitude

c as the phase

Now, from the attached image of the graph, the amplitude it the peak of the wave which is 3.

Thus; a = 3

Now, the phase angle from the graph which is the interval for each period of motion of the wave is seen to be π. Thus, c = π

Looking at the options, the only one that has the correct value of a and c is option A.

Read more about sinusoidal waves curve at; https://brainly.com/question/20431795