PLEASE ANSWER I REALLY NEED HELP

Determine which of following points lie in the solution set of the inequality y >= 2x-4 and which do not. Justify each choice.

a) (5,4)
b) (0,1)
c) (10,16)
d) (2,-1)

Answers

Answer 1
Plug in the x and y values in the inequality.
A) 4>2(5)-4 C) 16>2(10)-4
4>6 16>16


B) 1>2(0)-4 D) -1>2(2)-4
1>-4 -1>0

Solution B makes sense since 1 is greater than -4. Solution A and D does not because they are less than the y value. Solution C isn't either because the inequality is saying the y value is greater than the x value and not equal to.
Answer 2

The points lie on the given inequality y ≥ 2x-4 are  (0,1) and (10,16)

What is inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that an inequality y ≥ 2x-4

We need to check whether the given points lie on the solution of the inequality or not,

1) (5, 4)

Put x = 5

2×5-4 = 10-4 = 6

4 ≥ 6, this is a contradiction which means (5, 4) do not lie on the solution,

2) (0, 1)

Put x = 0

2×0 - 4 = 0-4 = -4

1 ≥ -4, satisfying the condition hence lies on the solution.

3) (10, 16)

Put x = 10

2×10-4 = 20-4 = 16

16 = 16. satisfying the condition hence lies on the solution.

4) (2, -1)

Put x = 2,

2×2-4 = 4-4 = 0

-1 ≥ 0, this is a contradiction which means (5, 4) do not lie on the solution,

Hence, points lie in the solution set of the inequality are (0,1) and (10,16)

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Related Questions

Sheila was given $20.00 for her birthday and spent $14.79 on a CD. How much was her change?
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B. $6.31
C. $16.31
D. $34.79

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Answer:

the answer would be A because when u subtract it the answer is $5.21

Determine the number of zeros of the polynomial function f(x)= x^8-x^9

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Step-by-step explanation:

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x=1/45

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The answer is A

Step-by-step example:

I just took the test and got it right hope this helps you!!!

In a certain​ chemical, the ratio of zinc to copper is 4 to 11 . A jar of the chemical contains 308 grams of copper. How many grams of zinc does it​ contain?

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Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu

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Write the function for the graph.

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the answer is B

Step-by-step explanation:

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Answer:

i think it’s 3 because 25 x 12 = 3 for percentages

Step-by-step explanation:

i

Answer:

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Step-by-step explanation:

There are 25 squares, so out of 100, each shaded square would be 4/100, and then 4/100 is 4%

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What is the rate of change of the function shown on the graph? Round to the nearest tenth.

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B

Step-by-step explanation:

Luke and Liam wash their clothes on a schedule. Luke
washes his clothes every 7 days and Liam washes his
clothes every 9 days. How long will it be before they
both wash their clothes on the same day

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Jsjsjfjsksjjdjfjdkdjhfjdnfnkfkddhhd

Answer:

2......... ..... ..m.......... ..

HELP NEEDED HELP NEEDED!

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I think it is j but I do not now

Answer:

G. 8.625 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of first rectangle:

1.5 × 2.5 = 3.75 ft

Area of second rectangle:

1.5 × 2.5 = 3.75 ft

Area of triangle:

1.5 × 1.5 = 2.252.25 ÷ 2 = 1.125

Put them together:

3.75 + 3.75 + 1.125 = 8.625 [tex]ft^{2}[/tex]  

I hope this helps!

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Answer:

(for your second question) 23.69

Step-by-step explanation:

Basically, the teacher wants a math equation story but I can't think of one.

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Answer:

For one hour Luke biked uphill 3 miles. After biking 3 miles uphill for one hour Luke stopped  at the store for 2 hours.

Step-by-step explanation:

Find the Values of y
Y ² = 169

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Answer:

Y= 13,-13

Step-by-step explanation:

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

Answers

Answer:

Options A, B, C and D

Step-by-step explanation:

This question is not complete; here is the complete question.

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

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D. 240

E. 1656

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Since, cost of 24 candies = Cost of one candy × Number of candies

                                          = 69 × 24

For partial product,

69 × 24 = (60 + 9)(20 + 4)

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             = 60×20 + 60×4 + 9×20 + 9×4

             = 1200 + 240 + 180 + 36

             = 1656

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Can you fill in the chart?​

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I’m not really see it

what does y equal?......​

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Answer:

37

Step-by-step explanation:

What is the slope of the line through

(-8, 10) and (6, 10)?

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Answer:

the slope is 0

Step-by-step explanation:

m=0

Answer:

0

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y2 - y1/ x2 - x1

10 - 10 = 0

6 - (-8) = 14

0/14 = 0

x + y > -3
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Answer:

x>-3-y

Step-by-step explanation:

subtract y from both sides


4. An angle is 50° more than its supplement. Find the angles.

Answers

Answer:

The angles measure [tex]65[/tex]° and [tex]115[/tex]°.

Step-by-step explanation:

Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for

[tex]x+x+50=180[/tex]

Solving for [tex]x[/tex], we get:

[tex]x+x+50=180[/tex]

[tex]2x+50=180[/tex] (Simplify LHS)

[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]2x=130[/tex] (Simplify)

[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=65[/tex]

Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!

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Answer:

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Step-by-step explanation:

Answer:

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Answer:

just subtract the area of the rectangle from the area of the carpet

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PLEAS HELP I WILL GIVE 10 POINTS
ou are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for SOCIAL SECURITY TAX for this pay period was $

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Answer:

292.32

Step-by-step explanation:

i took 9.75 times 30 and then minus 10% minus 6.2% and minus 1.45% and got that answer

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Answer:

solving form; m< -12  

Step-by-step explanation:

On a linear graph there would be an open circle on the number -12 and the line would be pointing left

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Answers

Answer:

m∠BCD = 24°

Step-by-step explanation:

By the theorem,

"Angle subtended by an arc at the center of the circle is twice in measure of the angle subtended at the circumference."

m(∠BOD) = 2(m∠BFD)

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                 = 156°

Therefore, m(arc BD) = m∠BOD = 156°

Since, m(arc BD) + m(arc BFD) = 360°

156° + m(arc BFD) = 360°

m(arc BFD) = 360 - 156

                   = 204°

Since, "angle formed outside the circle by the intersection of two tangents measure half of the difference of the intercepted arcs".

m∠BCD = [tex]\frac{1}{2}[m(\text{arc BFD})-m(\text{arc BD})][/tex]

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Bronwyn walks one lap of an oval at 2.5 km/h and then jogs another eight laps of the
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Answers

This is the answer to your question

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Answers

Answer:

Alyssa=225

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Step-by-step explanation:

The money Alyssa has $660 and  Eric has $245.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Alyssa has $75 less than three times Eric.

Let $x be the money Eric had.

Then Alyssa has 3x-75

Together they have $905.

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4x=905+75

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x=980/4

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Therefore, money Alyssa has $660 and  Eric has $245.

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Scott will run at least 25 miles this week. so far he has run 16 miles . what are possible numbers of additional miles he will run?

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Answers

Answer: t _> 9

Explanation:

t + 16 _> 25
t _> 25 - 16
t _> 9

direct and inverse variation

Answers

Answer:

4 workers can do the job in 18 days.

Step-by-step explanation:

The number of days d varies inversely as the number of workers.

We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]

where k is constant of proportionality

We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.

d = 9, w = 8

d = 18, w =?

First we will find value of k when d = 9, w =8

[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]

The value of k, will remain same as it is constant.

We get k = 72.

So, Now we have d = 18, k = 72 and we need to find w

[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]

So, 4 workers can do the job in 18 days.

A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. the standard charge S (in dollars) is given by the function S = 0.40M +18.95, where M is the number of miles driven.
The company also offers an option to ensure the car against damage. The insurance charge I (in dollars) is given by the function I= 0.15 M + 5.70
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C=
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Answers

Answer:

C=0.55M+24.65

Step-by-step explanation:

0.40M+0.15M=0.55M

18.95+5.70=24.65

The length of a rectangular cement patio is 3 feet less than three times the width. The sum of the length and width of the patio is 21 feet. Find the length of the patio.

Answers

Answer: The length is 15 feet.

Step-by-step explanation:

L = 3w - 3 (length is 3 feet less than three times the width)21 = w + (3w -3)21 = 4w - 3 (add like terms)24 = 4w (substract 3 from both sides)6 = w <-- width

But, the problem is asking for the length...

L = 3w - 3L = 3(6) - 3L = 18 - 3L = 15 ft

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