NEED ANSWER ASAP!!! a compound inequality is graphed, and its graph consists of all real number. which open sentence could have resulted in this solution set? A. r < 5 or r < -1 B. r < 5 or r > -1 C. r > 5 or r < -1 D. r > 5 or r > -1

Answers

Answer 1

When we join two inequalities with an “or,” we unite their graphs – we include all solutions to *both* inequalities. Let’s first look at graphs of each of the four inequalities first, and then we’ll see when we unite them.

r < 5 starts with a hollow circular mark on 5 (since 5 isn’t included in r), and includes everything from there to negative infinity

r > 5 starts with that same mark, but its solutions include everything from there to positive infinity (except 5)

r > -1 starts at -1 and includes everything from there to positive infinity (except -1), and r < -1 stretches to negative infinity (except -1).

We want to join together two inequalities so that their solutions span from negative to positive infinity (all real numbers); which of our options include negative infinity, and which include positive infinity?

Negative infinity: r < 5, r < -1
Positive infinity: r > 5, r > -1

We could try joining r > 5 and r < -1, but then we’d be exclude all of the real numbers between and including -1 and 5. The graphs of r < 5 and r > -1 pass right by each other and continue infinitely off to negative and positive infinity respectively, so all possible real numbers will be included in their combined range.

So, our solution is “r < 5 or r > -1”.

Answer 2

the answer is “r < 5 or r > -1”.

Related Questions

if 161 is 35% of students at school who play sports how many students are at school?

Answers

let's say is "x", so "x" is then the 100%, and we know that 161 is the 35%, alrite then,

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 161&35 \end{array}\implies \cfrac{x}{161}=\cfrac{100}{35}\implies x=\cfrac{161\cdot 100}{35}[/tex]

Use a quadratic equation to find two real numbers that satisfies the situation. The sum of the two numbers is 2, and their product is –48.

Answers

Final answer:

To find two real numbers whose sum is 2 and product is -48, we form a quadratic equation x^2 - 2x - 48 = 0. Using the quadratic formula, we get two pairs of numbers (8, -6) and (-6, 8) that satisfy the given conditions.

Explanation:

To find two real numbers that satisfy the given conditions, namely their sum being 2 and their product being –48, we can set up a system of equations or use a . Let's denote the two numbers as x and y. We know:

x + y = 2xy = -48

We can express y in terms of x from the first equation: y = 2 - x. Substituting this into the second equation gives us:

x(2 - x) = -48

This simplifies to a quadratic equation:

x^2 - 2x - 48 = 0

Using the, x = (-b ± √(b^2 - 4ac)) / (2a), with a = 1, b = -2, and c = -48, we find the two possible values for x, which in turn gives us the corresponding values for y:

x = (2 ± √(4 + 192)) / 2

x = (2 ± √196) / 2

x = (2 ± 14) / 2

Therefore, the two solutions are x = 8 or x = -6. Since we were looking for two numbers, using x + y = 2, the corresponding y values are y = -6 and y = 8, respectively. Hence, the two pairs of numbers that satisfy the conditions are (8, -6) and (-6, 8).

Carly is making 3 and 1/2 batches of biscuits. If one batch calls for 2and 1/3 cups of flour, how much flour will she need?

Answers

She will need 8 q/6 cups of flour. Hope this helped! :)

What happens when you multiply 2 negative numbers?

Answers

1) either you'll get a negative number
Or
2) You'll get a positive Number..
But I'm guess you'll get a positive number

The result is a positive number. Negative times negative is a postive

Byron earns $11.00 per hour. How many hours will Byron have to work to earn $143.00?
1. 7.7 hours
2. 13.0 hours
3. 14.3 hours
4. 15.7 hours

Answers

divide 143.00 by 11.00

143/11 = 13

Answer is 2. 13.0 hours

Answer:

Step-by-step explanation:

Byron earns $11.00 per hour.

Lets say he works for x hours

for x hour Byron earn =11x

It is given that

Byron have to work to earn= $143.00

11x= 143

x=143/11

x=13

so He must work for 13.0 hours .

What is the benefit of using statistical sampling versus nonstatistical sampling?

Answers

Statistical sampling: Uses laws of probability for selection and evaluation of a sample. Allows for quantification of audit risk and sufficiency of audit evidence. Nonstatistical sampling: Does not utilize statistical models in calcualtions. Uses a non-mathematical approach to determine sample sizes and evaluate the selected samples.

Newton uses a credit card with a 18.6% APR, compounded monthly, to pay for a cruise totaling $1,920.96. He can pay $720 per month on the card. What will the total cost of this purchase be?

Answers

You should ask your parent/guardian or teacher if needed! Merry Christmas!

The principal is $1920.96 . APR 18.6% . Interest is compounded monthly . Formula for compound interest is A = P (1+r/t) ^n(1/t) P = principal amount (the initial amount you borrow) which is $1920.96 r = annual rate of interest (as a decimal) = 0.186 t = period A = amount of money accumulated after n years, including interest. n = number of times the interest is compounded per year = 12 times . A = P (1+r/t) ^n(1/t) A = 1920.96*(1+0.186/12)^12(1/12) = 1920.96(1+1.0155) = 1951.04 which is the total cost of this purchase.

A gas station sells regular gas for $2.30 per gallon and premium gas for $3.00 a gallon. at the end of a business day 250 gallons of gas had been sold, and receipts totaled $631. how many gallons of each type of gas had been sold?

Answers

quantity of $2.20 fuel = total quantity - quantity of $3.00 fuel. However .... As an example, suppose we had 80 gallons if the $3.00 gas. Then it ... From this you can observe that the quantities ofeach type of gas are directly linked. ... If we have none of this then we have all of the 280 gallons as the $2.20 gas.

Plz see picture and question attached

Answers

the answer is 16m² because the square root of 81 is 9 meaning both width and height of the patio are 9. to find the height of the square patch you do 9 - 5 = 4
because it is square, meaning the width and height are the same, so therefore the width is also 4. to get the area of a square of rectangle, you times the width by the height. 4 × 4 = 16. so the answer is 16m² because the unit is metre so we write m²

What is the equation in point-slope form for the line parallel to y = -2x + 10 that contains J(6, 8)?
a. y - 8 = -2(x - 6)
b. x - 8 = 2(y - 6)
c. y - 8 = 2(x - 6)
d. y + 8 = -2(x - 6)

Answers

in the equation y=mx+b

m = slope
b = y-intercept
x = variable
y = what you get

Answer: Hello mate!

A linear equation has the form y = ax + b

where x is the variable, a is the slope and b is the x-intercept.

We want to find the pararel line to y = -2x + 10

A paralel line of this, will be another line with the same slope ( -2 in this case) and a different x-intercept; then our line has the shape of:

y = -2x + b

and we know that this line pases through the point (6,8), and with this info we could find the value of b:

8 = -2*6 + b

b = 8 + 12 = 20

then y = -2x + 20 is the pararel line that passes through the point (6.8)

Then the correct answer is the option a:

a) y - 8 = -2(x - 6) = -2x + 12

y = -2x + 12 + 8 = -2x + 20

how many times must 24 be added until the sum is 1500

Answers

1500 / 24 = 60
60 times must 24 be added until the sum is 1500

it cant... all i got was 63 times

Holes drilled several kilometers into Earth’s crust provide direct evidence about Earth’s interior in the form of a. seismic waves. b. rock samples. c. liquid iron. d. volcanic eruption. Please select the best answer from the choices provided A B C D

Answers

its B rock samples the others you cant find evidence about the interior of earth by drilling holes into the crust

Answer:

b. Rock Samples

Explanation:

Rock samples are obtained by drilling with special drills into the substance.

So, holes drilled several kilometers into Earth's crust provide direct evidence about Earth's interior in the form of a rock samples.

∠DAC and ∠CAB are adjacent. m∠DAC = 53°, m∠DAB = 64°. What is the measure of ∠CAB?
A) 11°
B) 117°
C) 53°
D) 64°

Answers

∠CAB = m∠DAB - m∠DAC
∠CAB = 64 - 53
∠CAB = 11

answer

A) 11°

Naomi has 50 red and white beads.the number of red beads is 1 more than 6 times the number of white beads. how many red beads does naomi have

Answers

let's assume White beads = x Red beads = y Now according to question we have a set of equation y= 6x +1 (Red beads = 1 more than six times white beads) ..... (1) x+y =50 (Total number of beads) ..........(2) substitute the value of "y" in equation (2) x + (6x+1) = 50 7x +1 =50 7x=49 x=7 now putting the value of x in equation (2) we will get y = 43 Red beads. hence, naomi have 43 red beads.

An angle measures 150° less than the measure of a supplementary angle. what is the measure of each angle?

Answers

The measure of the angle is 30 degrees

What is a supplementary angle?

A supplementary angle can be defined as an angle that sum up t0 180 degrees.

The two angles must add up to 180 degrees, that is, angles on a straight line.

The properties of supplementary angles are;

The two angles are supplementary angles when they add up to 180°The two angles together make a straight line, but the angles need not in a place“S” of supplementary angles represents a “Straight” line. This means they form 180°

From the information given, we have that;

The angle measures 150 degrees less of supplementary angles

Then,

180 - 150

30 degrees

Hence, the value is 30 degrees

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The two supplementary angles in question measure 15° and 165° respectively, with one angle being 150° less than the other.

We are given that one angle measures 150° less than its supplementary angle. By definition, supplementary angles add up to 180°. Let's call the angle in question 'A', and its supplementary angle 'B'.

We thus have the following relationship:

A = B - 150°

and

A + B = 180°

Substituting the first equation into the second, we get:

(B - 150°) + B = 180°

This simplifies to:

2B - 150° = 180°

2B = 330°

B = 165°

Now that we know the measurement of B, we can find A:

A = 165° - 150°

A = 15°

So, the two angles are 15° and 165° respectively.

How would I solve
-1+2i / -1-3i

Answers

-1+2i / -1-3i
(-1+2i)(-1+3i) / (-1-3i)(-1+3i)
1-5i+6i² / 1-9i²
-5-5i / 10
-5/10 - 5i/10
-1/2 - 1i/2

BRAINIEST AND YOU WILL GET 10 POINTS!

What is the value of p in the equation 4p + 3(p + 4) = 12p + 12?
12, 1, 0, -1.

Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
3x = 9, 3x = 1 , 11x = 9, 11x = 1

What is the value of z in the equation 3z + 5 = 4z − 8?
13, 1, -13, -1

The work of a student trying to solve the equation 3(4x − 2) = 9 + 2x + 5 is shown below:

Step 1: 3(4x − 2) = 9 + 2x + 5
Step 2: 12x − 2 = 14 + 2x
Step 3: 12x − 2x = 14 + 2
Step 4: 10x = 16
Step 5: x = 1.6

In which step did the student first make an error and what is the correct step?

Step 2: 12x − 2 = 4 + 2x

Step 2: 12x − 6 = 14 + 2x

Step 3: 12x + 2x = 14 + 2

Step 3: 12x − 2x = 14 − 2

Answers

1 - The value of p in the equation is p = 0.

2 - The simplified form of the equation is 3x = 1, the reason behind this is when you do the equation, you get x = 1/3. When you do the equation 3x = 1 you get x = 1/3 as well.

3 - The value of z in the equation is z = 13.

4 - In order to figure out what step he did something wrong on, we first need to solve the problem, the answer we will get is x = 2.
To do this the easy way, we can solve each step, and see what one wouldn't equal 2, which the step he did wrong is Step 2.
So, to do Step 2 correctly, it would be: Step 2 - 12x − 6 = 14 + 2x.

Find three consecutive odd integers whose sum is 117.

Answers

x+x+x+1+3= 117
3x+4 =117
3x=117-4=113
Therefore x=113/3=37.7( approx)

Find the tangent of the angle in standard position in which the terminal side passes through the point (3,4)

Answers

tangent of the angle = 3/4

angle = 36.87 degrees

What two numbers can you multiply to get 84?

Answers

84 ÷ 2 = 42

Check it to make sure.

2 × 42 = 84

42 and 2 can be multiplied to get 84.

Tanisha bought 4 bundled packs of comic books. The price of each pack was the same. After she bought the packs, her account balance showed a change of −$86.64. What would have been the change to Tanisha's account balance had she bought only 1 bundled pack of comic books?

A) 21.60
B) -21.60
C) 21.66
D) 21.66

Answers

B) -21.60 BC your dividing a positive by a negative

Which best describes the relationship between the 125° angle and angle A? They are same side interior angles. Angle A measures 55°. They are alternate interior angles. Angle A measures 125°. They are vertical angles. Angle A measures 125°. They are corresponding angles. Angle A measures 55°.

Answers

Answer:

a. They are same side interior angles. Angle A measures 55°.

They are same side interior angles. Angle A measures 55° which is correct option(A).

What are Interior angles?

Interior angles is defined as those that lie inside a shape, or those that are located in the region enclosed by two parallel lines that cross each other at a horizontal angle.

What are Alternate Interior Angles?

Alternate Interior Angles is defined as these angles are created when a transversal intersects two parallel lines. The opposing sides of the transversal produce this non-adjacent pair of angles.

What are Vertical angles?

Vertical angles is defined as when two lines meet each other at a point. They are always equal to each other, In other words, four angles are created anytime two lines cross or intersect.

What are corresponding angles?

Corresponding angles is defined as any pair of angles that are both on the same side of the transversal and of one of the two lines that it intersects.

Given angle measure as 125°

Therefore, they are same side interior angles. Angle A measures 55°.

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Somebody help me on this real quic plz

Answers

Basically you are just multiplying 2 with the x-values. So...
x y
0 = 0
1 = 2
2 = 4
3 = 6
5 = 10
I hope this helps love! :)

Mario baked cookies for the class party. the students ate 3/4 of what mario bought. the students on his bus ate 1/3 of what was left. mario had 6 left when he got home. how many cookies did mario bake?

Answers

Mario baked 36 cookies

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, EG, measures 24 cm. What is the length of the other diagonal, DF? 5 cm 16 cm 21 cm 32 cm

Answers

x + y = 24 where x and y are the 2 parts of diagonal Other diagonal wil be smaller that 24.
x^2 + z^2 = 13^2
y^2 + z^2 = 20^2 where z = 0.5 * length of smaller diagonal)

form last 2 equations

y^2 - x^2 = 20^2 - 13^2 = 231
now y = 24-x so we have

(24 - x)^2 - x^2 = 231

576 - 48x = 231

48x = 345

x = 7.1875

z^2 = 13^2 - 7.1875^2 = 117.34
z = 1.83

so smaller diagonal = 21.66 cm

looks like its the third choice.

The length of the other diagonal, DF is 44 cm.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Since the kite has two pairs of congruent adjacent sides, we know that the diagonals of the kite are perpendicular bisectors of each other.

Therefore, we can use the Pythagorean theorem to find the length of the other diagonal DF.

Let x be the length of the other diagonal, DF.

We know that one diagonal EG has a length of 24 cm, so we can use the Pythagorean theorem to find the length of the perpendicular bisector of EG, which is half of DF.

By the Pythagorean theorem, we have:

[tex](20/2)^2 + (x/2)^2 = 24^2\\100 + (x/2)^2 = 576\\(x/2)^2 = 476\\x/2 = \sqrt(476)\\x = 2 \times 21.86\\x = 43.72\\x = 44[/tex]

Therefore,

The length of the other diagonal DF is 44 cm

Learn more about the Pythagorean theorem here:

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Lines that never intersect are perpendicular True or False

Answers

Hey there!

The answer is false. Two lines that intersect and form right angles are called perpendicular lines.

Hope this helps!

PLEASE ANSWER QUICK
Isaac and his sister plan to surprise their parents by buying them each a pair of shoes. They agree that Isaac will pay 68% of the price since he receives a greater allowance. Use an estimation strategy to determine how much Isaac will pay if the total bill is $97.65. Show the step-by-step process you used to solve the problem.

Answers

$97.65 x .68 = 66.402 (rounded) 66.40
Issac will pay $66.40.

97.65 / 100 = 0.9765
This finds 1% of 97.65
0.9765 x 68 = 66.402
This finds 68% of 97.65
Isaac will pay $66.40

What is the measurement of angle R?

Answers

check the picture below.

make sure your calculator is in Degree mode.

Mrs. hensen cataloged a group of incoming library books in 8 hours. mr. taylor can catalog the same number of books in 4 hours. mrs. phillips can catalog them in 6 hours. how long would it take if they all worked together?

Answers

Let n = the number of books.

Mrs. Hensen's working rate is
x = n/8 books/h
Mr. Taylor's working rate is
y = n/4 books/h
Mrs. Phillip's working rate is
z = n/6 books/h

When they work together, they can catalog n books in
(n books)/(x+y+z books/h)
= n/(n/8 +n/4 + n/6)
= 1/(1/8 + 1/4 + 1/6)
= 1/(13/24)
= 24/13 hours

The time required is 24/13 h = 1.8462 h = 1 hour, 51 min

Answer: 1.8462 hours (or 1 hour, 51 minutes)

What is the length of each side of the right isosceles triangle with a hypotenuse that measure 2.5√2 units.

Answers

a^2 +b^2 = (2.5sqrt(2))^2

2a^2 = 6.25 *2

a^2 = 6.25

a = sqrt(6.25)

a = 2.5

length of each side = 2.5 units

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