solve the inequality -4x + 5 > 21​

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: 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

Answer:

5/1

Step-by-step explanation:

Answer:

$0.50

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

5.00 divided by 25

Answer:

The surface area of the box is 496² m.

(11*8)+(11*8)+(11*8)+(11*8)+(8*9)+(8*9)=496

Answer:

can u type out the question i cant see the photo i will help thou

Step-by-step explanation:

Answer:

29

-26

Step-by-step explanation:

the equation of f(x) is given. to find f(8) just apply 8 in the place of x in the equation

same method for f(-3) just apply -3 in place of x

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:

Point D

because you go 5 to the right and 3 down.

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Answer:

Sum of a and c is less than 100.

Step-by-step explanation:

^

Answer:

eu acho que é a C

e um belo dia abençoado

Answer:

yes

no

yes

no

yes

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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:

Explanation:

PART 1. Using an algorithm:

First expression:

Step 1: Multiply numerators and denominators.

Second expression:

Step 1: Multiply numerators and denominators.

Third expression:

Step 1: Convert mixed fraction into improper fraction:

Step 2: Replace the improper form into the expression

Step 2: Multiply numerators and denominators.

PART 2. Using diagram:

The diagram is shown below. Basically the steps we follow are the same as if it were using algorithms.

Step-by-step explanation:

Answer:

hhahaahhahahaahhaahaha yalll so dum hahahahahahahhahaahah

Step-by-step explanation:

this is easy. hahahahahahahhaahahhaahahahhaahhaahahahaha

Answer:

20???

Step-by-step explanation:

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:

i hope this helps

Step-by-step explanation:

ggbsus dvrjsjagaubs don't mind this

Answer:

V(x) = (17 - 2x)(11 - 2x)x

Step-by-step explanation:

We are told that She is making an open top box. This means the box will have only 5 faces.

Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.

Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.

Thus, measurement of width from the 11 inches paper = (11 - 2x)

Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;

(17 - 2x)

Now,recall that a side of the square is x.

Thus, the depth is x.

Now, volume of a box is given by;

V = length x width x depth

Thus, in this case;

V(x) = (17 - 2x)(11 - 2x)x

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:

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:

brainly.com/question/14753192

#SPJ2

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

14%. 14.5 = 14% = 0.14

Answer:

The correct option is;

a) It moves five places to the right

Step-by-step explanation:

Multiplying a whole number by 10 raised to a given (positive whole number) power, involves the shifting of the positioning of the decimal places to the right, depending on the value of the positive whole number power to which the 10 is raised

Similarly, multiplying a whole number by 10 raised to a given (negative whole number) power, involves the shifting of the positioning of the decimal places to the left, depending on the value of the negative whole number power to which the 10 is raised.  

The reason is because, the number base generally used for arithmetic is in base 10 and multiplying or dividing by 10 is what is required to change a number's place value

Therefore, multiplying a whole number by 10 raised to the 5th power (10⁵) requires shifting the decimal place 5 places to the right

Example:

x.0 × 10⁵ = x00000.0

Where, x is a whole number.

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?