How to solve quadratic inequalities.

Answers

Answer 1

Find all the zeros of the polynomial, and arrange the zeros in increasing order. ...

Plot those numbers on the number line as open or closed points based upon the original inequality symbol.

Choose a test value in each interval to see if the interval satisfies the inequality or not.


Related Questions

A 135-page notebook has 33 writing lines on each page. What is the total number of writing lines in the entire notebook

Answers

Answer:

4455

Step-by-step explanation:

135 pages x 33 lines a page = 4455 lines.

What is the greatest common factor of 18, 6, and 36?

Answers

Answer:

18 is the greatest common factor between those

Answer:

There are 6 common factors of 18 and 36, that are 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor of 18 and 36 is 18.

Step-by-step explanation:

How do you write 17/5 as an mixed number

Answers

Answer:

3 2/5

Step-by-step explanation:

17/5= 3 2/5

Answer:

First find the nearest number divisible by 5 to get a whole number returned

that number is 15

15/5 = 3 (no decimals)

so the ‘big’ (as I like to call it) number or the integer that isn’t part of the fraction would be 3.

now what is left?

subtract 15 from the numerator

17 - 15 = 2

replace 17 with 2 in the fraction to get 2/5

The result is [tex]3\frac{2}{5}[/tex]

to prove this is the same

multiply the ‘big number’ by the denominator

3*5 = 15

and add the numerator

15+2 = 17

now just insert the denominator below it, and you get 17/5

A car rental company charges, y, for x, days. Days 3 4 5 6
Total Cost ($) $55.50 $74.00 $92.50 $111
Write an equation in the form of y=kx. Explain what the constant rate of change means in this context.

Answers

The equation of the car rental company in the form y = kx is; y = 18.50x

The equation y = kx is such that;

y = dependent variable

x = independent variable

k = constant of proportionality.

In essence; to determine the constant of proportionality, k in this case;

k = y/x

Since the company charges, $55.50 for 3 days; we have;

By evaluation k = $55.50/3

k = 18.50.

A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant

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help with this question

Answers

Answer:

Step-by-step explanation:

can someone help me with this please:) ​

Answers

Answer:

A

Step-by-step explanation:

[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]

the total cost of five equally priced dvd's is $55 how much does each dvd cost?

Answers

Answer: x=45/3

Step-by-step explanation:

11 dollars
11x5=$55

Pls someone help asap! Only answer if you know the correct answer thanks!

Answers

Answer:

xx

Step-by-step explanation:

If for evry 15 there is 25 what is the number for just 5

Answers

Answer:

I think it may be 8.3.

Step-by-step explanation:

15 = 25

15÷3=25

25÷3=8.3333333

Round it to 1 decimal place and you get 8.3

Complete the inequality statement.

1 1/2 ft ___ 16 in.

A. >

B. <

C. =

Answers

Answer:

a.>

Step-by-step explanation:

because :-

11/2 ft= 5.5 ft

5.5ft =66 in so 66in>16in

Select the correct domain of the function represented by the graph.

Answers

A is the correct answer.

The slope of the line that passes through the points (10,8) and (4,12)

Answers

Answer:2/3

Step-by-step explanation:

10-4=6

12-8=4

4/6=2/3

Gabriella bought 8 chicken wings for $4. What was the cost of the wings in wings per dollar?

Answers

Answer:

2 wings/dollar

Step-by-step explanation:

The unit cost is $4 / 8 wings, or $0.50/wing.  This is equivalent to 2 wings/dollar.

Model a desert community where 19% of the area is
desert and the rest is houses.
squares represent the area of the community
that is desert.
The area of the community that is houses is
represented by squares.

Answers

Answer: the first one is 19 and the second is 81.

Please Pleaseee help...will make the brainliest

Answers

Answer:

A and F.

Explaination:

find the value of x thank you

Answers

3x - 7 + 2x - 3 = 90

<=> 5x -10=90

<=> 5x = 100

<=> x=20

ok done. Thank to me :>

what is this anyone know?

Answers

The smallest number they could have is 24

If you the numbers 2 and 2, what will the final sum be

Answers

It would be 4 because you add 2 and 2 and you will get 4

find the value of x !!!!!!

Answers

Answer:

[tex]x[/tex] = 14

Step-by-step explanation:

(4x-1)+(2x+7)+90=180

Simplify 3 (x - 5) by distributing.​

Answers

Answer:

3x - 5

Step-by-step explanation:

PLEASE HELP ME WITH THIS QUESTION!!

A military clock has the numbers 1 through 24 evenly spaced around a circular face. What number is directly across from 19?

Answers

Answer:

7

Step-by-step explanation:

On a military clock the difference between a number and it's opposite is always 12

19 - x = 12

19 - 12 = x

7 = x

The number directly across from 19 on a military clock is 17.

How to determine the number directly across from 19 on a military

To find the number directly across from 19 on a military clock, we can subtract 19 from 12 since the clock face is circular with 24 numbers evenly spaced.

12 - 19 = -7

Since we have a negative result, we need to add 24 to it to bring it back into the range of numbers on the clock face.

-7 + 24 = 17

Therefore, the number directly across from 19 on a military clock is 17.

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#SPJ2

4 Anna plays a computer game for
of an hour each evening. How many
hours does she spend playing computer
games in a week? In 8 weeks? Draw a
model or write equations to show your
work.

Answers

Answer: 7, 56

Step-by-step explanation:

The answer to the first question is 7 because since there are 7 days in a week, and she plays for an hour each evening, 1 times 7 is 7. If she plays for 8 weeks, she would play for 56 hours because 7 times 8 is 56.

Help me please!

Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.

Complete the table below showing the length of the fence and the cost.

Answers

Answer:

(cost ---> length)

35 ---> 5

49 ---> 7

56 ---> 8

70 ---> 10

can someone help me peaseeeee

Answers

Is this the whole question? It’s rather confusing how they put it together.

solve pls brainliest

Answers

Volume: length • width • height

Volume: 5 yards • 3 yards • 2 yards

Volume: 30 yards^3

Answer:

30yd^3

Step-by-step explanation:

dimensions are 3*5*2 (count the number of blocks) so multiply to get 30 yd^3

Solve the quadratic function by factoring. y = x2 - 2x - 48 First, factor the quadratic. Enter the number that belongs in the green box. y = (x + [?])(x - 1)​

Answers

Answer: y = (x+6)(x-8)

Step-by-step explanation:

4|x-8|+1>_5 ASAP please

Answers

Answer:

x ≤ 7  or  x ≥ 9

Step-by-step explanation:

4|x - 8| + 1 ≥ 5

Subtract 1 from both sides.

4|x - 8| ≥ 4

Divide both sides by 4.

|x - 8| ≥ 1

x - 8 ≤ -1  or  x - 8 ≥ 1

x ≤ 7  or  x ≥ 9

PLEASE HELP!! The figure below shows a line graph and two shaded triangles that are similar:

A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 6, negative 3, and 0, 0, and 6, 3. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled O to 4, 2 labeled A, one leg is from 0, 0 to 4,0, and the second leg is from 4,0 to 4, 2. Another shaded right triangle is formed with the hypotenuse is from 4, 2 to 6, 3 labeled B, one leg is from 4, 2 to 6, 2, and the second leg is from 6, 2 to 6, 3.

Which statement about the slope of the line is true?

It is fraction 1 over 2 throughout the line.
It is 2 throughout the line.
The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.
The slope from point O to point A is 2 times the slope of the line from point A to point B.

Answers

The slope of the line of the graph is given by the ratio of the change in y-

coordinates to the change in the x-coordinates of the line.

The statement that is true about the slope of the line is; it is  [tex]\dfrac{1}{2}[/tex] throughout

the line.

Reasons:

The given parameter are;

The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)

Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)

Points on the leg of the right triangle = (0, 0) to (4, 0)

Points on the second leg of the right triangle = (4, 0) to (4, 2)

Second right triangle;

Points on the hypotenuse = A(4, 2) to B(6, 3)

One leg of the right triangle extends from (4, 2) to (6, 2)

Second leg extends from  (6, 2) to (6, 3)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]

[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]

Therefore;

The slope is [tex]\dfrac{1}{2}[/tex] throughout the line

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Explain the steps to locate the average rate of change when two points are displayed on an exponential graph. -

Answers

Answer:

Explanation: The rate of change between two points on a curve can be approximated by calculating the change between two points. Let be the coordinates of the first point and be the coordinates of the second point. Then the formula giving approximate rate of change is

Step-by-step explanation:

calculating the change between two points.

Please help me with this equation, the values are in the file

x + B = Fx - Dx + H

Answers

Answer:

x = -6

Step-by-step explanation:

B = 2

F = 6

D = 4

H = 8

x + B = Fx - Dx + H

x + 2 = 6x - 4x + 8

x + 2 = 2x + 8

-x = 6

x = -6

Answer:

f=1+xb+dx−h

my answer to your question

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