Solve the following inequalities by expressing the solution in interval form and on the number line:
a)-9x+7>16+12x
b)18+13x<14x-11
2)a)-3 5/2 - 7/4 . 14/15+(-3/10)²:4/5-2.3/7

Answers

Answer 1

The value of x is from negative infinity to negative 3/7 and 29 to positive infinity.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality equations are given below.

a)  - 9x + 7 > 16 + 12x

b)  18 + 13x < 14x - 11

Then

a)  - 9x + 7 > 16 + 12x

Solving for x, we have

21x < -9

  x < -3/7

The value of x is less than the negative of 3/7.

b)  18 + 13x < 14x - 11

Solving for x, we have

x > 29

The value of x is greater than 29.

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Related Questions

1. Are lines a and b perpendicular?
2. Are lines a and d perpendicular?
3. Are lines b and c parallel?

Answers

1. Lines A and B aren’t perpendicular
2. Lines A and D are perpendicular at a right angle.
3. Lines B and C are parallel

Jackson is told that he will be given 1 cent for working today. However, for each day he works, he will get double the pay. So, on day 2, he gets 2 cents, on day 3, 4 cents, and so on. Jackson thinks, no way, that’s not much money. But if he agrees, how much will he make on day 20?

Answers

Question

Jackson is told that he will be given 1 cent for working today. However, for each day he works, he will get double the pay. So, on day 2, he gets 2 cents, on day 3, 4 cents, and so on. Jackson thinks, no way, that’s not much money. But if he agrees, how much will he make on day 20?

Answer:

48 cents

Step-by-step explanation:

Yes yes yes

A car travels 150 miles in 3 hours. What is the rate of the car in miles per hour?

Answers

Answer:

50 miles per hour

Step-by-step explanation:

150 miles=3 hours

150/3=50

50miles 1 hour

100 miles 2 hours

150 miles 3 hours

each hour is 50 miles

Answer:

The rate of the car is 50 miles per hour

What else would need to be congruent to show that AABC= ADEF by AAS?
8
E
60°
60"
10
10
A
С
O A. ZC=ZF
B. AC = DF
0 0
C. ZA ZD
D. BC = EF

Answers

With ∠C=∠F, ΔABC and ΔDEF are congruent by AAS congruence. Therefore, option A is the correct answer.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider ΔABC and ΔDEF,

Here, ∠B=∠E=50°

AB=DE=10 units

With ∠C=∠F

So, by AAS congruence theorem ΔABC and ΔDEF are congruent

Therefore, option A is the correct answer.

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Para hacer los laterales de una caja de madera de 40 cm de ancho, 40cm de largo y 35cm de altura, ¿que superficie de madera necesito?

Answers

Answer:

8800 cm^2

Step-by-step explanation:

superficie = [(40x40)x2] + [(40x35)x2] + [(40x35)x2]

s = (3200) + (2800) + (2800)

s = 8800 cm^2

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

see explanation

Step-by-step explanation:

the standard form of a quadratic expression is ax² + bx + c ( a ≠ 0 )

(1)

(2x + 5)(x + 1)

each term in the second factor is multiplied by each term in the first factor, that is

2x(x + 1) + 5(x + 1) ← distribute parenthesis

= 2x² + 2x + 5x + 5 ← collect like terms

= 2x² + 7x + 5 ← in standard form (a = 2, b = 7, c = 5 )

(2)

(x - 2)(x + 2)

= x(x + 2) - 2(x + 2) ← distribute parenthesis

= x² + 2x - 2x - 4 ← collect like terms

= x² - 4 ← in standard form (a = 1, b = 0, c = - 4 )

Find the median and mode(s) of the data.
3, 5, 7, 9, 11, 3, 8
Median:
Mode:

Answers

Answer: The median is 7 and the mode is 3

Step-by-step explanation:

Check the picture below.

Somebody please help me on this

Answers

Answer:

36

Step-by-step explanation:

unknown angle = given angle - 360 because a full circle is 360°

so unknown angle "n" = 360 - 324 = 36

for 9-10 use the diagram

value of x?

if the circle is centered at point O, what is the measure of MON

Answers

[tex]\bold{ANSWER:}[/tex]
x = 25

[tex]\bold{SOLUTION:}[/tex]

5. A TV program received 7.4 points of audience rating at the first week of its opening. Then, because many advertisements were inserted, its audience rating dropped by 25% at the second week. What was the audience rating at the second week? points Enter the answer Check it skip​

Answers

Answer:

5.55 points

Step-by-step explanation:

25% reduction so its 75% of the original value

75% of 7.4 is 5.55

please i will give brainliest if right

Answers

Answer:

s = 132 square cm

Step-by-step explanation:

s = area of base + area of lateral faces

Area of base (triangle)

A = 1/2bh

A = 1/2(3)(4)

A = 1/2(12)

A = 6

There are two bases (triangles), so multiply the answer by 2.

6 x 2 = 12

Area of lateral faces (3 rectangles)

First rectangle:

A = lw

A = 5(10)

A = 50

Second rectangle:

A = lw

A = 4(10)

A = 40

Third rectangle:

A = lw

A = 3(10)

A = 30

Add all the areas together.

s = 12 + 30 + 40 + 50

s = 132 square cm

A publisher reports that 55% of their readers own a laptop. a marketing executive wants to test the claim that the percentage is actually more than the reported percentage. a random sample of 300 found that 62% of the readers owned a laptop. is there sufficient evidence at the 0.02 level to support the executive's claim

Answers

clearly I don't know but just say yes

In a recent poll among 500 students, it was found that 60% of women and 68% of men eat meals on campus at least 3 times a week. What type of statistical test would you use to see whether men and women differ in the extent to which they eat meals on campus at least three times a week

Answers

The statistical test would be a Z-test for the difference between the proportions.

What is Z-test?

The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.

We have:

In a recent poll among 500 students, it was found that 60% of women and 68% of men eat meals on campus at least 3 times a week.

From the above data and the definition of the Z-test, the statistical test would be a Z-test for the difference between the proportions.

Thus, the statistical test would be a Z-test for the difference between the proportions.

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A family of four realized their water bill was high and that a lot of water was being wasted in the shower. They replaced their 5-gallon-per-minute showerheads with ones that only use 3 gallons per minute. If each family member showers for 5 minutes per day and a typical month is 30 days long, how many gallons of water will the family save per month with the new showerheads

Answers

Answer:

[tex]5 \times 5 = 25 [/tex]

[tex]25 \times 30 = 750[/tex]

6 Mateo and Katia each walked into a
video arcade with $9.50 in quarters. After
they played video games for an hour, Katia
had $1.75 more than Mateo. Which could
be the amounts of money they had then?

Answers

Do you have any answer choices? Because it could be a fee difference ones

x - 8 > -4 graph the solution

Answers

Answer:

hope this helps!:)

The area of the following composite figure is 125 square centimeters. What is the value of b?



9 cm
13 cm
14 cm
12 cm

Answers

Answer:

b=125

Step-by-step explanation

9cm x 14 - 1 = 125

In Lin's drawing, the scale is 5 inches = 8 feet, and the back wall of the lab measures
15 inches. Five computer workstations will be equally spaced along the entire
length of that wall. Each workstation measures 4 feet by 4 feet. How far apart are
the workstations in Lin's drawing? Explain.

Answers

Answer:

1 ft

Step-by-step explanation:

scale: 5 in. = 8 ft

Back wall scale measurement: 15 in.

Back wall real measurement: 15 in. × 8 ft / 5 in. = 24 ft

Each workstation measures 4 ft.

5 workstations measure 5 × 4 ft = 20 ft

24 ft - 20 ft = 4 ft

When you place 5 workstations, the outer two will be at the ends of the 24-ft wall. There will be 4 spaces between the workstations.

4 ft / 4 = 1 ft

Answer: 1 ft

Keisha collects vintage glass marbles. Her favorite marbles have a diameter of 2.5 centimeters each. She keeps 66 of her favorite marbles in a pouch. One cubic centimeter of glass has a mass of 2.6 grams. What is the mass of the marbles in Keisha’s pouch rounded to the nearest gram? Use 3.14 for π

Answers

Answer:

Im pretty sure the guy above me is right

Step-by-step explanation:

1. 2x - 12 = 6

2. 2x + 6= 8

3. 12 = 12s - 12

4. 14s + 6 = 35

5. 3s - 12 = 6

6. 18t + 9 = 34

7. 21x + 7 = 28

8. 105 = 50y + 5

9. 1/4x - 6 = 24

10. 13x + 2 = 18

11. 6 - 3x = 18

12. 14 + s = 21

13. 28 = 16x - 4

14. 19x + 2 = 40

15. 10t = 194

16. 400x + 100 = 1100

17. - 3x + 43 = 113

Answers

1. x=9

2. x=1

3. s=2

4. s= 2.5

5. s=6

6. T=5/6

7. x=1

8. y=2

9. x=120

10. x=16/13

11. x=-4

12. s=7

13. x=2

14. x=2

15. t=97/5

16. x=5/2

17. x=-70/3

Which equation could be solved using this application of the quadratic formula? a. -2x2 − 8 = 10x − 3 b. 3x2 − 8x − 10 = 4 c. 3x2 8x − 10 = -8 d. -2x2 8x − 3 = 4

Answers

The equation that can be solved when the given quadratic formula is used is c. 3x² + 8x − 10 = -8.

How can we use quadratic equations?

The given quadratic equation is:

x = (-8 ± √(8² - 4(3)(-2))) / 2 (3)

Rewriting the quadratic equation in option C gives:
3x² + 8x − 2 = 0

Seeing as a quadratic equation takes the form:

x = (-b ± √(b² - 4(a)(c))) / 2 (a)

The formula becomes:

x = (-8 ± √(8² - 4(3)(-2))) / 2 (3) which is the given quadratic formula.

In conclusion, option C is correct.

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11. Using the triangle below, set up and solve
an equation in order to find the value of x.

Answers

Step-by-step explanation:

hope it helps if there's any questions feel free to ask me but I'm sure that's how that question is hanled

HELP NOW PLEASE

k(x)=x^(2)+3x+8

find k(-1)
find k(0)
find k(5)

Answers

Answer:

6, 8, 48

Step-by-step explanation:

substitute x = - 1, 0, 5 into k(x)

k(- 1) = (- 1)² + 3(- 1) + 8 = 1 - 3 + 8 = 6

k(0) = 0² + 3(0) + 8 = 0 + 0 + 8 = 8

k(5) = 5² + 3(5) + 8 = 25 + 15 + 8 = 48


9 yd
6 yd
8 yd
Volume of the pyramid

Answers

Answer:

Volume = 144

V = length(9) × width(6) × height(8) ÷ 3 = 144

Which expression is equivalent to the given expression
In(2e/x)

Answers

Answer:

option C is the best answer

Step-by-step explanation:

Answer:

1 + ln 2 - ln x

Step-by-step explanation:

Plato/Edmentum

help would be greatly appreciated!

Answers

Answer:

D the answer is D, thats when cos and sin are equal together

Kayley needs to find the area of a circle. Which process should she use?

Answers

Answer:

Find the radius then square it, and multiply by pie.
r = 3
π = 3.14159
a = πr2
a = π(3)2
a = π(9)
a ≈ 28.27

Step-by-step explanation:

You just need to find the diameter of a circle, then halve it and plug in the information to the formula above.

Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.

Answers

Answer:

a) None

b) (0, -2)

Step-by-step explanation:

The x-intercept is the point at which the line cuts through the x-axis, while the y-intercept in the point at which the line cuts through the y-axis.

a) The line does not cut through the x-axis, thus it has no x-intercept.

b) The line cuts through the y-axis at y= -2, making its y-intercept (0, -2).

Which angle in this quadrilateral is a right angle? Angle A Angle B Angle C Angle D

Answers

Answer:

A rectangle is one. If that is one of the options, this would be the correct answer.

Step-by-step explanation:

A quadrilateral can be proved to be a rectangle in several ways. Here are three simple methods: 1) Demonstrate that all angles are 90°; 2) Demonstrate that one set of sides is parallel and that two opposite angles are 90°; and 3) Demonstrate that the diagonals are bisected and equal in length.

Answer:

A rectangle is one. If that is one of the options, this would be the correct answer.

Step-by-step explanation:

A quadrilateral can be proved to be a rectangle in several ways. Here are three simple methods: 1) Demonstrate that all angles are 90°; 2) Demonstrate that one set of sides is parallel and that two opposite angles are 90°; and 3) Demonstrate that the diagonals are bisected and equal in length.

100 pts. need help asap

Answers

Answer:

The last option {y | y is a real number}

Step-by-step explanation:

Since the graph is a cube root function, it has no range issues. So the range is all real numbers.

Answer: option four is the right answer
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