Which inequality is graphed on the number line?

Which Inequality Is Graphed On The Number Line?

Answers

Answer 1

Answer:

Option #4: [tex]4\left(x+8\right)-10\ge 42[/tex]

Step-by-step explanation:

[tex]4\left(x+8\right)-10\ge 42[/tex]

x ≥ 5

Answer 2

Answer:

4th option

Step-by-step explanation:

the inequality shows x ≥ 5

solving the inequalities

- 7(3x - 7) + 21 ≥ 50

- 21x + 49 + 21 ≥ 50

- 21x + 70 ≥ 50 ( subtract 70 from both sides )

- 21x ≥ - 20

divide both sides by - 21 reversing the symbol as a result of dividing by a negative quantity , then

x ≤ [tex]\frac{20}{21}[/tex] ← not the required solution

--------------------------------------------------

- 4(- x + 8) - 10 ≤ 8

4x - 32 - 10 ≤ 8

4x - 42 ≤ 8 ( add 42 to both sides )

4x ≤ 50 ( divide both sides by 4 )

x ≤ 12.5 ← not the required solution

--------------------------------------------------

- 7(3x - 7) + 21x ≥ - 50

- 21x + 49 + 21x ≥ - 50 ( subtract 49 from both sides )

0 ≥ - 99 ← not the required solution

-----------------------------------------------------

4(x + 8) - 10 ≥ 42

4x + 32 - 10 ≥ 42

4x + 22 ≥ 42 ( subtract 22 from both sides )

4x ≥ 20 ( divide both sides by 4 )

x ≥ 5 ← Required solution


Related Questions

The distance around a triangle is 40 centimeters. If two sides are equal and the length of the third side is 10 centimeters, what is the length of each of the other two sides?

Answers

Answer:

15 centimeters each = the two other sides of the triangle is 30 cm.

Step-by-step explanation:

Which of the following are based on empirical probability

Answers

The empirical probability is Life insurance, Car insurance, and Mortality.

What is empirical probability?

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Therefore the empirical probability will be Life insurance, Car insurance, and Mortality.

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If ∠1 and ∠2 are vertical angles and m∠1 = 108°, find m∠2.

Answers

Answer:

[tex]m\angle 2= 108^{\circ}[/tex]

Step-by-step explanation:

Vertical angles are equal.

Answer:

108°

Step-by-step explanation:

vertical angles are angles opposite each other when two lines cross.

if <1 and <2 are vertical angles, it means that m<1 = m<2

m<1= 108°

therefore, m<2= 108°

Noa hopes to pick the winning ticket during her math class’s raffle. The student who picks the ticket with a true statement will win. Which is the winning ticket?

Answers

A correct answer is an option a which is 2x = - 23  

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

We need to select correct statements from the given options.

2 ( x - 6 )  = - 35

2 x - 12 = - 35

2x=-35+12

2x = - 23

Therefore, 2 ( x - 6 )  = - 35  is equivalent to .2x=-23

8(x-7)=35

8x-556=35

8x=91

Therefore, 8(x-7)=35 is not equivalent to 8x=91.

9(x-6)=-35

9x-54=-35

9x=19

Therefore,9(x-6)=-35  is not equivalent to 9x=19.

4(x-5)=35

4x-20=35

4x=55

Therefore,4(x-5)=35  is not equivalent 4x=55 to .

Hence, the correct answer is an option a which is 2x = - 23  

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What are the quotient and remainder of (3x4 - 2x + 7x-4)= (x - 3)?
a. 3x2 + 772 +21x + 70; 206
c. 3x4 + 7%? +21x2 + 70; 206
b. 3x + 77? + 21x + 70; -206
d. 37° +73+ + 21x + 703 76

Answers

The quotient of dividing (3x⁴ - 2x³ + 7x² - 4) by (x - 3) is 3x³ + 7x² + 28x + 84 and the remainder is 248

How to determine the quotient and the remainder?

The division expression is given as:

(3x⁴ - 2x³ + 7x² - 4) / (x - 3)

Set the divisor to 0

x - 3 = 0

Solve for x

x = 3

Substitute x = 3 in 3x⁴ - 2x³ + 7x² - 4

3x⁴ - 2x³ + 7x² - 4 = 3(3)⁴ - 2(3)³ + 7(3)² - 4

Evaluate

3x⁴ - 2x³ + 7x² - 4 = 248

This means that the remainder is 248

Recall that:

Dividend = Divisor * Quotient + Remainder

So, we have:

3x⁴ - 2x³ + 7x² - 4 = x - 3 * Q + 248

Subtract 248 from both sides

3x⁴ - 2x³ + 7x² - 252 = x - 3 * Q

Divide both sides by x - 3

Q = (3x⁴ - 2x³ + 7x² - 252)/(x - 3)

Factorize the numerator

Q = (x - 3)(3x³ + 7x² + 28x + 84)/(x - 3)

Cancel out the common factors

Q = 3x³ + 7x² + 28x + 84

Hence, the quotient is 3x³ + 7x² + 28x + 84 and the remainder is 248

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Alex has 64 cubes with dimensions in ft like
1/2 x 1/2 x 1/2
He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps.
What is the volume in cubic ft of the larger rectangular prism?

Answers

the volume is 1283 cubic ft

Find the height of the tree below to the nearest foot.

Answers

[tex]\bold{FULL ANSWER:}[/tex]

(USE YOUR CALCULATOR):

2 2/3 + 1/5

Could Someone Help??

Answers

Answer:

13/15

Step-by-step explanation:

you multiply the numbers by each other like 3×1/5 = 3/15 and 5×2/3 = 10/15

then you add them to get 13/15

A car travels along a hill inclined at 10 degrees with the ground and travels 900 feet. What is the horizontal distance travelled by the car, to the nearest tenths of a foot.

Answers

Answer:

886.3 feet

Step-by-step explanation:

cos(10°) = d/900

d = 900 cos(10°) = 886.3 feet

Please help, i’ll mark brainliest.

Answers

Answer:

  4568 ft³

Step-by-step explanation:

You want the volume of the figure made from two rectangular prisms.

Volume

The volume of the whole is the sum of the volumes of its parts. The volume of a rectangular prism is the product of its dimensions.

The horizontal prism is 7 ft high, 8 ft wide, and 45 ft long.

The vertical prism has a square base 8 ft on a side, and is 32 ft long.

The total volume is ...

  V = horizontal volume + vertical volume

  V = (7 ft)(8 ft)(45 ft) + (8 ft)²(32 ft) = 4568 ft³

The volume of the figure is 4568 ft³.

<95141404393>

The total volume of the figure is 4,568 ft³

How to find the volume?

We can view this as two different rectangular prisms, remember that the volume of a rectangular prism is equal to the product between its dimensions.

For the one that is laid down, the volume is:

V = 7 ft*8 ft*45 ft

V = 2,520 ft³

For the other prism, the volume will be:

V' = 8ft*8ft*32ft = 2,048 ft³

Adding the two volumes we will get:

volume = 2,520 ft³ +  2,048 ft³ = 4,568 ft³

That is the total volume of the figure in cubic feet.

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What's the answer to this?

Answers

Answer: 4

Step-by-step explanation:

      First, we will find the length of sides TU and T'U' to compare. Then, we will find the scale factor. Since the shape gets bigger and not smaller, we will have a whole number - not a fraction.

TU = 3 units

T'U' = 12 units

12 / 3 = 4

       A scale factor of four.

Which statement is true?
11 < 10
11 < 10
-8 > -9
-8 > -9
3 > 5
3 > 5
-2 < -10

Answers

Answer:

-8 > -9

Step-by-step explanation:

Every other question says greaten then, on the other side or other way around.
The higher the number in negatives, the less it actually is.

-8>-9

Step-by-step explanation:

when its a negative number, the number closer to zero is the answer

a box is 10 inches long, 3 inches wide, and 4 inches high. what is the surface area in square inches of the closed box

Answers

Answer: 164 square inches

Step-by-step explanation:

[tex]2(10 \cdot 3+10 \cdot 4+3\cdot 4)=164[/tex]

A rectangle is 13 feet long and 4 feet wide. Find its area.
A 48 square feet
B
17 square feet
52 square feet
D 47 square feet

Answers

52 square feet
Because when you multiple 13 by 4 you get 52 so that will be your answer

I need this answer asap please

Answers

Answer:283 awnser is 283

Step-by-step explanation:

Rachel has a large pond on her property. The pond contains many different kinds of fish including bass.

Answers

The  inequalities that can be used to determine the possible number of bass in the pond over time are: P≥250e^0.048t; P≤275e^0.048t.


Inequalities

Given:

r=4.8/100=0.048

Initial amount:

Lower end=250

Upper end=275

Using this equation to determine the inequalities

A=p×e^rt

Where:

A=Amount

P=Population

r=Growth rate

t=Time

Let plug in the formula

Inequalities:

P≥250e^0.048t

P≤275e^0.048t

Therefore the inequalities are : P≥250e^0.048t; P≤275e^0.048t.

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This composite figure is made up of three simpler shapes. What is the area of the figure? 7 cm 4 cm 5 cm 4 CE 8 cm A. 66 square cm R 50 square cm C. 46 square cm D. 80 square cm

Answers

The total area of the given figure will be 66 square cm.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.

Total area = Area of triangle + Area of rectangle + Area of parallelogram

Total area = [(1/2) x 4 x7]   +  [4  x  5]  + [ 4   x   8 ]

Total area =  14+20+32

Total area = 66 square cm

Hence the total area of the given figure will be 66 square cm.

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At Pizza Pi, 12% of the pizzas made last week had extra cheese. If 3 pizzas had extra cheese, how many pizzas in all were made last week?

Answers

100/12=8.33…
8.33…x 3= 25
There were 25 pizzas made.

What is the area of the hexagon?
6m
5m
10 m
5m
6m

Answers

The awnser is 5m that’s what I got‍♀️

How many values are in the range 0 to 55

Answers

There are 55 values in the range 0 to 55

How to determine the number of values?

The minimum is given as:

Minimum = 0

The maximum is given as:

Maximum = 55

The range is calculated using:

Range = Maximum - Minimum

So, we have:

Range = 55 - 0

Evaluate

Range = 55

Hence, there are 55 values in the range 0 to 55

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I need help pls

What is the value of x?

Answers

Answer:

30

Step-by-step explanation:

the value of x, bring the variable to the left side and bring all the remaining values to the right side

Choose the graph that represents the equation y = –|x + 4| + 1.

Answers

Answer:

It's the last choice.

Step-by-step explanation:

It has a V shape because of the absolute value lines |    |

But it is  an inverted V because of the leading negative.

The vertex is at y = 1 because of the + 1.

The + 4 moves the whole graph 4 units to the left of the origin.

So the vertex is at (-4, 1)

Answer:

The correct option is graph D. because the equation has all negative x values, meaning this graph will be to the left.

Why is the graph not facing upwards?

This is because some of the y values are equal to 1 or negative 1, causing the graph to face downwards.

wants to wrap a shipping box shaped like a rectangular prism. The box is 30 inches tall and has a square base with sides that each measure 3 inches. How much paper will she​ use?

Answers

Answer:

360

Step-by-step explanation:

uh if the box has a square base of 3 inches and a square has 4 sides then 3x4=12 and then multiply by 12x30= 360

Answer:

Answer:

360

Step-by-step explanation:

uh if the box has a square base of 3 inches and a square has 4 sides then 3x4=12 and then multiply by 12x30= 360

Step-by-step explanation:

What is the value of x?

Answers

We have been given the two lengths as x and y So, the value of x would be equal to root 80.

How to obtain real measurements from the ratio of two measurements?

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]

where  is a common factor (not 1)

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly canceled from both the numerator and the denominator.

Thus, a = px, b = qx

we have been given the two lengths as x and y.

From the figure, we know that

11: y = y: 5

Express in fraction

11/y = y / 5

y^2 = 5(11)

y ^2 = 55

So, y = √55

From Pythagoras theorem;

[tex]x^{2} =5^{2} +y^{2} \\\\x^{2} =5^{2} +55 \\\\x^{2} =25 + 55\\\\x^{2} =80\\\\x = \sqrt{80}[/tex]

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Select the expression that is equivalent to the given expression: 3(x + 2) - x




A: 5x + 6

B: 2x + 6

C: 2x + 2

D: 9

Answers

Answer:

B

Step-by-step explanation:

if you simply 3(x+2)-x, you get 2x+6.

it is not 3x+6 because x already equals 1. 2x+6=2x+6

These two shapes have the same perimeter.
regular hexagon
square
Not actual size
The length of each side of the hexagon is 8 centimetres.
Calculate the area of the square.
Question

Answers

Answer:  u can use this to practice and u can also find your awnser in thes pic

Step-by-step explanation:

Major League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher’s hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with mean μ = 92.12 mph and a standard deviation of σ = 2.43 mph.

Compute the z-score of pitch with speed 95.8 mph. (Round your answer to two decimal places.)



Approximately what fraction of these four-seam fastballs would you expect to have speeds between 91 mph and 93.2 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.)



Approximately what fraction of these four-seam fastballs would you expect to have speeds below 91 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.)



A baseball fan wishes to identify the four-seam fastballs among the fastest 20% of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest 20%? (Round your answer to the nearest 0.1 mph.)

Answers

fastballs i believe

if x=3,y=-2(negative 2) and z=6,what is 7xyz

Answers

Answer: -252
Hope this helps!

Step-by-step explanation:

x = 3

y = - 2

z = 6

Question:

[tex]7xyz[/tex]

Solution,

= 7 × 3 ( - 2 ) × 6

= 21 ( - 2 ) × 6

= - 42 × 6

= - 252

hence the answer is - 252....

What is the length of the segment joining the points at (-6, 8) and (6, 3)?
Enter your answer in the box.


units

Answers

Answer:

13 units

Step-by-step explanation:

So the length of those 2 points is 6+6 = 12.

The height would be 8-3 =5

Using pythagoras, you can find out the length of the line joining the 2 points so:

[tex]5^2 + 12^2 = 169[/tex]

[tex]\sqrt{169} = 13[/tex] units

-n+(-3)+3n+5

please help me with this

Answers

Answer:

2n + 2

Step-by-step explanation:

If the directions for this problem say to "Simplify" then what you will do is to combine like terms. This is an expression because there is no equal sign. If it had an equal sign (and more information) it could be solved.

Since it only an expression we simplify:

-n + (-3) + 3n + 5

= -n + 3n + (-3) + 5

= 2n + 2

Answer:

I believe that it is, 2n + 2.

Step-by-step explanation:

You add all the common factors ( sorry if its a wrong vocab word ) -

( {-3} + 5 ) and ( 3n + { -n } )

-3 + 5 would also be 5 - 3 = 2

3n + -n would be 3n - n = 2n so it would be,

2n + 2 or 2 + 2n.

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