Match each inequality with its solution set.

1.
5 - 3x ≥ 11
2.
1 + 3x ≥ -5
3.
5x + 7 ≥ 17
4.
2x + 1 ≤ 3

Answers

Answer 1

1.

5 - 3x >= 11

-3x >= 11-5

-3x >= 6

3x <= -6

x <= -6/3

x <= -2

x ∈ (-∞ ; -2]

2.

1 + 3x >= - 5

3x >= -5 - 1

3x >= -6

x >= -6/3

x >= - 2

x ∈ [-2 ; + ∞)

3.

5x + 7 >= 17

5x >= 10

x >= 10/5

x >= 2

x ∈ [2 ; + ∞)

4.

2x + 1 <= 3

2x <= 2

x <= 1

x ∈ (-∞ ; 1]

Good Luck


Related Questions

how do you subtract -5000 from 263

Answers

Answer:

263-5000=4737

Step-by-step explanation:

IF ITS -5000-263

if you subtract a negative to a negative it makes the negative increase. -5000-263 would end up being technically -5000+(-263). A number line would help you, because on a number line, when subtracting, you go to the left.

[-5000+(-263)=-5263]

IF ITS 263-(-5000)

do you see those two - signs? Those cross eachother out, turning it into a +, also making the -5000 not negative anymore. Making 263-(-5000) = 263+5000.

[263+5000=5263]

Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3.6).

Answers

Answer:

Step-by-step explanation:

slope-intercept form is y=mx+b

m = slope = change in y/change in x

  change in y/change in x = 2/1

  m = 2

b = y intercept = y value when x = 0

  using the slope, go left 2 units and down 4

  when x = 0, y = 0

  b = 0

y = mx+b when m = 2 and b = 0

y = 2x+0

y = 2x


Kaya rented a limousine for prom. There was a one-time charge of $100 plus an hourly rate of the total
cost for the night was $347.50. How many hours did Kaya rent the limo for?

Answers

Answer:

3 hours

Step-by-step explanation:

it is $100 for 1 hour right. Ok so forget about the hourly rates. Then you are left with $300. $300 total÷100 per hour = 3 hours.

Answer:

The total is 3 hours

      Hope this help! good luck :)

A study of the annual population of the red - winged blackbird in FT. Mill, South Carolina, shows the population incresing at a rate of 16%. If
the population starts at 150 blackbirds, then which of the following functions properly models the population B(t) as a function of time.
O a B(t) = 150(1.6)
Ob B(t) = 150(16)
Oc B(t) = 150(1.16)
Od B(t) = 150(.84)

Answers

The functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)

Given the following

Initial population = 150 birds

If there is a 16% increase, the increment will be 0.16(150)

The population B(t) as a function of time will be expreessed as:

B(t) = 150(1+0.16)

B(t) = 150 (1.16)

Hence the functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)

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Write an equation for a line parallel to the line y = 1/3 * x - 4 that passes through (- 3, 2)

Answers

Answer:

B.  y = 1/3x + 3

Step-by-step explanation:

Answer:  I think the answer is B

can anyone find the area to this?

Answers

Answer:36

Step-by-step explanation: 3X4 or 3 rectangles plus tow rectanges that = 12

5 kilometers in 30 minutes how many kilometers can she run in 45 minutes

Answers

8 kilometers

1 kilometer every 6 minutes

(w-10x) (w+10x) Use the Identities to solve this question

Answers

We are provided that –

(w-10x) (w+10x)

Applying identity –

a² - b² = (a + b)(a - b)

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf(w-10x) (w+10x)[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 - (10x)^2[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 -100 x^2[/tex]

please help 50 pts and brainliest if correct

Answers

Answer:

C

Step-by-step explanation:

it makes sense yah?

Answer:

C) Three fourths of the fish he caught were less than 50.5 pounds

How far dose a kangaroo travel in 2 minutes

Answers

According to my knowledge, kangaroo travelers 1.3 kilometers in 2 minutes

What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?

selling price = original cost + markup value

A.
$509.95
B.
$831.57
C.
$835.49

Answers

The selling price of the item is $835.49

How to determine the selling price?

The given parameters are:

Original cost = $784.50

Markup = 6.5%

The selling price is calculated as

Selling price = Original cost * (1 + Markup)

So, we have:

Selling price =$784.50 * (1 + 6.5%)

Evaluate the expression

Selling price =$835.49

Hence, the selling price of the item is $835.49

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what is the midpoint of a segment in the complex plane with endpoints at 6-2i and -4+6i?

Answers

Answer:

1+2i

Step-by-step explanation:

midpoint: (6 + -4)/2 + (-2 + 6)/2 i

               = 1+2i

you and your friend are both saving your allowance for summer vacation. You start with $50.50 in the bank, and your allowance is $8.50 per week. Your friend starts with $8.00 in the bank, and they get twice as much for allowance. After how many weeks do you have the same amount of money

Answers

Answer:

5

Step-by-step explanation:

17+8+17+17+17+17=93

8.50+50.50+8.50+8.50+8.50+8.50=93

PLEASE HELP ITS 10TH GRADE GEOMETRY

Answers

Given, Q is on line segment PR. QR = 2x + 4PQ = xPR = 4x - 10PQ + QR = PRor, x + (2x + 4) = 4x - 10or, 3x + 4 = 4x - 10or, 4 + 10 = 4x - 3xor, x = 14Therefore, PR = 4x - 10 = 4(14) - 10 = 56 - 10 = 46

Hope you could get an idea from here.

Doubt clarification - use comment section.

please help thx

calculate the value of x

calculate the value of y

calculate the value of z

Answers

X = twenty five because 2x+18 = 3x-7

help plz (asap) ..............................................................................

Answers

Answer:

oof u alone kid

Step-by-step explanation:

What is the relationship between 0.04 and 0.004?

Answers

Answer: 0.04 is exactly 10 times as much as 0.004. If we multiply 0.004 by 10, we will get 0.04 as an answer. In other words, we can say that 0.004 is exactly 1/10th of 0.04. It means that if we divide 0.04 by 10, we will get 0.004 as an answer.

Answer:

Look below

Step-by-step explanation:

0.04 means 4 hundredths since if you divide 4 by 100 you get 0.04. You can try it yourself on a calculator. 0.004 is 4 thousandths. Same thing with 0.04, if you divide 4 by 1000 you will get 0.004. Hope this helps! If you want me to explain a bit more I can try

Cellular phone service that charges per-minute will charge $15 for 70 minutes. How much would 1077 minutes cost?

Answers

Answer:

$5026

Step-by-step explanation:

if you divide 70 by 15 you get 4.66666667

then multiply 4.6666667 by 1077 and you get 5026

Lily hereeeeeeee (Rose's younger sister))))))))))
Please help me with mathhhhhh

the equation is 1 5/6 - 3/4
This is for a important test for advanced math in middle school

Answers

Answer:

1 1/12

Step-by-step explanation:

Make 1 5/6 improper fraction ( 1 times 6, then add 5 = 11)

Find common denominator, which is 24

6 times 4 equals 24; 11 times 4 equals 44

4 times 6 equals 24; 3 times 6 equals 18

44/24 - 18/24 (subtract only top numbers (44-18) = 26

26/24 simplified is 13/12 or 1  1/12

Hope it's right :)

Solve. 34x+78=414 Enter your answer as a mixed number in simplest form in the box. x =

Answers

Answer:

The answer in mixed fraction form is [tex]9\frac{15}{17}[/tex]

Step-by-step explanation:

34x + 78 = 414=> 34x = 414 - 78=> 34x = 336=> x = 336/34=> [tex]9\frac{30}{34} = 9\frac{15}{17}[/tex]

Conclusion:

Therefore, the answer in mixed fraction form is [tex]9\frac{15}{17}[/tex]

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer: X= 9 over 2

I think this is the right answer

sorry if it is not

17. The sides of a rectangle are in the ratio of 5 : 4. If its perimeter is 144 cm,
then its length is
bi
a) 40 cm
b) 20 cm
c) 30 cm
d) 60 cm
What is the answer

Answers

Answer:

Option A

Step-by-step explanation:

Let,

Length = 5x

Breadth = 4x

Perimeter = 2(l + b)

=> 144 = 2(5x + 4x)

=> 144 = 2(9x)

=> 144 = 18x

=> 144/18 = x

=> 8 = x

Therefore,

Length = 5x = 5(8) = 40 cm

Given Polynomial:
5x-4x^2+3

Solve for x=0​

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

Plug the value of x as 0 in the given Polynomial ~

[tex] \sf5x - 4 {x}^{2} + 3[/tex]

[tex] \sf(5 \times 0) - (4 \times 0 {}^{2} ) + 3[/tex]

[tex] \sf0 - 0 + 3[/tex]

[tex] \sf3[/tex]

Therefore , the equivalent value is 3

Lily needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.5 hours and charged her $159 for parts. The total was $456.50. Write and solve an equation which can be used to determine x x, the cost of the labor per hour.

Answers

Answer
456.50=159 + 3.5x
OR
3.5x=456.50-159

Reason
456.50 is the total
159 is for the parts
3.5 is the number of hours

So to find the cost you have to find out how much it cost for the labor by subtracting the total cost from the cost of the parts. To find the cost of labor for each hour you have to divide the total cost of labor by the number of hours used to work on the computer

The equation to represent the problem is written as

$456.50 = 3.5x + $159

the cost of the labor per hour is $85.

How to determine the cost of the labor per hour

Let x be the cost of the labor per hour.

The technician worked on the computer for 3.5 hours, so the labor cost would be 3.5x.

The total cost, including the labor and parts, was $456.50.

So, we can set up an equation to represent the total cost:

Total cost = Labor cost + Parts cost

$456.50 = 3.5x + $159

Solving for x:

Subtract $159 from both sides:

$456.50 - $159 = 3.5x

$297.50 = 3.5x

Finally, divide both sides by 3.5 to find the value of x:

x = $297.50 / 3.5

x = $85

Therefore, the cost of the labor per hour is $85.

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Which statement is an example of the transitive property of congruence?
A. If A EFG = AHJK, then AHJK = A MNP.
B. AEFG = AEFG
C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.
D. If A EFG - AHJK, then AHJK - A EFG.

Answers

Answer:

my answer was d. 90 percent sure .

Step-by-step explanation:

The statement which is an example of the transitive property of congruence is C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.

Meaning of the transitive property of congruence

This transistive property holds congruent figure. it is states that: If Figure A is equal to figure B and Figure B is equal to Figure C, then Figure A will be equated to Figure C.

For example: AB = CD; CD = EF, then AB = EF

if angle A is equivalent to angle B and angle B is equivalent to angle C; then angle A will be equivalent to angle C

in conclusion, The statement which is an example of the transitive property of congruence is C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.

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Complete the table using the equation y = 5x + 3.
x -1 0 1 2 3
y -? ? ? ? ?​

Answers

Answer:

See below

Step-by-step explanation:

When x=-1, y=5(-1)+3=-5+3=-2

When x=0, y=5(0)+3=0+3=3

When x=1, y=5(1)+3=5+3=8

When x=2, y=5(2)+3=10+3=13

When x=3, y=5(3)+3=13+3=16

Therefore, this is the correct table:

x -1 0 1 2 3

y -2 3 8 3 16

a
Fitness Club A has a membership fee of $35 plus $3 each time you swim. Fitness Club B has a membership fee of
$27.50 plus $4.50 each time you swim. After how many swims will the cost be the same?
A
4
B) 7
6
D
8
E 5

Answers

Write an equation for each one set the equal to each other and solve.

A: 35 + 3x

B: 27.50 + 4.50x

35 + 3x = 27.50 + 4.50x

Subtract 27.50 from both sides:

7.50 + 3x = 4.50x

Subtract 3x from both sides

7.50 = 1.50x

Divide both sides by 1.50

X = 5

Answer: 5

you have $15 and earn an additional $0.50 for each cup of water you sell. write an equation that represents the total amount of A (in dollars) you have after selling w cups of water

Answers

Answer: A = 15 + 0.5(w)

Step-by-step explanation: The above equation represents the amount of dollars after selling w cups of water. Remember: we also have 15 in advance, so we add that to the total amount of cups sold. We multiply 0.5 (the amount earned per water cup) by w (the number of water cups sold) and we will get our answer.

To check this, let's say we sold 10 water cups. So w = 10. Therefore, we write A = 15 + 0.5(10). That = A = 15 + 5 which A = 20. We can use any number in place of w now and we will know it is correct using this formula

which expression is equivalent to the expression (2x+4)(x-6) pls i need it

Answers

Answer:

[tex]B.~2x^2-8x-24[/tex]

Step-by-step explanation:

FOIL the terms and then add like terms.

[tex]2x\cdot x=2x^2\\2x\cdot -6=-12x\\4\cdot x=4x\\4\cdot -6=-24\\\\2x^2-12x+4x-24\\2x^2-8x-24[/tex]

5. Name the side included by

AB
AC
BC
none of these.

Answers

Answer:

AB

Step-by-step explanation:

Side AB is in between angle A and angle B. We can tell this because angle A is at one point, and angle B is at the other.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Help please I don’t understand

Answers

Answer:

4

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

4²-4¹ 2-0. -2/6= -1/3

x²-x¹ = 4-2 =

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