Solve the following compound inequality.
5x + 7 ≤ -3 OR 3x - 4 ≥ 11

A. -2 ≤ x ≤ 5

B. x ≤ -2 OR x ≥ 5

C. x ≤ -15 OR x ≥ 12

D. x ≥ 5

Thank you!

Answers

Answer 1

Answer:

B

Step-by-step explanation:

We have the compound inequality:

[tex]5x+7\leq-3 \text{ or } 3x-4\geq 11[/tex]

Since this is an “OR” inequality, we can solve each inequality individually. So:

1)

We have:

[tex]5x+7\leq-3[/tex]

Subtract 7 from both sides:

[tex]5x\leq -10[/tex]

Divide both sides by 5:

[tex]x\leq-2[/tex]

So, the first solution is above.

2)

We have:

[tex]3x-4\geq 11[/tex]

Add 4 to both sides:

[tex]3x\geq15[/tex]

Divide both side by 3:

[tex]x\geq5[/tex]

Our second solution is above.

Therefore, our solution is:

[tex]x\leq -2 \text{ or } x\geq5[/tex]

Since our original inequality is “OR,” our solution set remains an “OR.”

Hence, our answer is B.


Related Questions

Please help me before I fail... I really need some help

Answers

Answer:

sin 61 degrees = x/55

55 * sin 61 degrees = x

x is approximately 48.1 if I did the math right

Step-by-step explanation:

hope it helps! gl

Which function has a graph with a y-intercept of -4?
A. 2x – 4y = 8
B. 2x – 8y = -4
C. 4x – 2y = -8
D. 4x - 2y = 8

Answers

the correct answer would be D. if you rearrange the equation, and cross out common factors, it equals -4

Answer:

D

slope is 2 and y-intercept is (0, -4)

Step-by-step explanation:

4x-2y= 8  move variable x to the right (change signs)

- 2y= -8 + 4x   Divide both sides by 2

y= -4 + 2x        reorder terms using communitive property

y = 2x  -4

y= mx + b

2. through: (8,5), perpendicular to y=-1/2x +4

Answers

Perpendicular slope: flip sign and reciprocal = 2
Y = 2x + b
Plug in point (8,5)
5 = 2(8) + b
5 = 16 + b
b = -11
Equation: y= 2x - 11

The product of 2 and y is at least 10. solving inequalities

Answers

2•y>10
The “>” has a line underneath it

Answer:

2y>10

y>5 is your answer

The steps in solving 5b - 6 = 24 are:

Answers

Answer:

5

Step-by-step explanation:

5

5b-6=24
+6 +6
5b=30
\5 /5
B=6
I hope this helps! Comment if you need a better explaination

Let a(x) be the amount of money remaining on Hillary's gift card after purchasing x apps on her phone.



Since a(12) = (38, 15,35, 65) Hillary will have
(35,15,38,12) dollars remaining on her card after purchasing
(12,15,35,38) apps.

Answers

Answer:

she purchased 12 apps costs 12 *1.25 = 15 . So , she spent 15 ... Since a(12) = 35, Hillary will have 35 dollars remaining on her card after purchasing 12 apps.

Step-by-step explanation:

hopefully this helps

Answer:

35, 35, & 12.

Step-by-step explanation:

i did the test and i got it right :D

[EASY] What's the slope of the line?? PLEASE HELP

Answers

Answer:

-3/1

Step-by-step explanation:

you go down 3, and to the right one. slope is rise over run so -3 over 1

help much? brainliest if i can

Answers

Answer:

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

Step-by-step explanation:

The slope-intercept form of a line is given as:

[tex]y = mx+b[/tex]

Here m is the slope and b is the y-intercept

m is calculated using the formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Given points are:

[tex](x_1,y_1) = (-3,7)\\(x_2,y_2) = (9,-1)[/tex]

Putting the values in the formula

[tex]m = \frac{-1-7}{9+3}\\= \frac{-8}{12}\\=\frac{-2}{3}[/tex]

Putting m=-2/3 in equation

[tex]y= -\frac{2}{3}x+b[/tex]

Putting (9,-1) in equation

[tex]-1 = -\frac{2}{3}(9)+b\\-1 = -6+b\\b = -1+6\\b = 5[/tex]

Putting the value of b

[tex]y = -\frac{2}{3}x+5[/tex]

Hence,

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

Can someone plz help me

Answers

Answer:

D)

Step-by-step explanation:

if 2x + 5y = -5 what is x if y = -5
HELP ASAP

Answers

Answer:

x=10

Step-by-step explanation:

first substitute y with the value (-5)

2x+5(-5)=-5 which is simplified to 2x+-25=-5

add 25 to -5 which gives you 2x=20

then divide 20 by 2 which makes x=10

SINE COSINE TANGENT If someone who acctually understand this could help me por favor :)

Answers

Answer:

here it is, hope it helps

Answer:

Step-by-step explanation:

sin M = [tex]\frac{3\sqrt{11} }{18} = \frac{\sqrt{11} }{6}[/tex]

cos M = [tex]\frac{15}{18} = \frac{5}{6}[/tex]

tan M = [tex]\frac{3\sqrt{11} }{15} = \frac{\sqrt{11} }{5}[/tex]

Add. 2/3 + 1/4 ...............................

Answers

Answer:

11/12

Step-by-step explanation:

2/3+1/4

8/12+3/12= 11/12

PLEASE HELP, #30 and #40 !! DUE SOON

Answers

Answer:

38. x = 60

40. x = 10

Step-by-step explanation:

38.

The segment labeled 30 connects the midpoints of two sides of a triangle, so it is parallel and half the length of the third side.

x = 2 * 30 = 60

40.

Look at the big outer triangle.

Its left side has length x. It is made up of two segments that are congruent.

The right side of the big triangle is made up of two segments that are congruent and are also congruent to the segments of the left side. That makes the left and right sides of the big triangle congruent. This is an isosceles triangle, so its base angles are congruent. The left base angle measures 60, so the right base angle also measures 60. That means the top angle also measures 60. This triangle is isosceles and equilateral.

Since the segment measuring 5 has endpoints that are midpoints of two sides of a triangle, it is parallel to the third side and half its length.

The bottom side of the triangle measures 2 * 5 = 10. Since the triangle is equilateral, then x = 10.

Solve the linear equation

3.4 + 2(9.7 – 4.8x) = 61.2

Answers

The answer would be -4

help me :<<<<<<<<<<<<_​

Answers

Exact form : 45/4
Decimal form : 11.25
mixed number form : 11 1/4

Tommy bought stamps at the post office. Some of the stamps had a snowflake design, some had a truck design, and some had a rose design. Tommy bought 14 snowflake stamps. He bought 5 more truck stamps than snowflake stamps, and 5 fewer rose stamps than truck stamps. How many stamps did Tommy buy in all? Show your work, how you came up with the answer.

Answers

Answer:

47

Step-by-step explanation:

s = Number of stamps with snowflake design = 14

Number of stamps with truck design is 5 more than snowflake design

[tex]t=s+5\\\Rightarrow t=14+5\\\Rightarrow t=19\ \text{stamps}[/tex]

Number of stamps with rose design is 5 fewer than truck stamps

[tex]r=t-5\\\Rightarrow r=19-5\\\Rightarrow t=14\ \text{stamps}[/tex]

Total number of stamps

[tex]s+t+r=14+19+14\\ =47[/tex]

So total number of stamps Tommy bought is 47.

A circle has a radius 30 cm. What is the area? Show your
work.

Answers

Answer:

I believe the area = 2,826

Step-by-step explanation:

A=pie×radius²

A= 3.14×30²

A=3.14×900

A=2,826

Solve for x.
Answer Choices:
7

8

9

-11

Answers

Answer:

x = -11

Step-by-step explanation:

Well the two equations add up to 180 because they are a linear pair.

x + 56 + x + 146 = 180 (collect like terms)

2x + 202 = 180 (subtract 202 on both sides)

2x = -22 (divide by 2 on both sides)

x = -11

Hope this helps ya!!

X+56+x+146=180 (Because they are linear pair and are equal to 180 degrees)

(Combine like terms)

2x+202=180 (Subtract 202 to both sides because we want the x isolated)

2x+202=180
-202 -202
2x=-22 (Divide)
2 2
X=-11
Hope this helps :D

Richard spent $30 at a store. He spent $14 on a book and bought some CD's at $4 each. How
many CD's did Richard buy at the store? Write an equation to represent the problem, then
solve.

Answers

Answer:

4

Step-by-step explanation:

30 minus 14 = 16 and 16 divided by 4 is 4. so the answer is 4

Please help it’s due in an hour! It’s algebra.

Answers

Answer:

You might wanna double check some of these because i might've forgot to flip some of the < and > signs but I'm pretty sure its correct

1) y = x < -18 and y = x < 18

2) y  = -3 < x < 3

3) x = 1 < y < 6 (it just gets simplified)

4) x = -3 > y > -18

5) y = -2 > x  and y = x < 3.5

6) y = 8.5 > x > 5.5

7) y = -5.75 < x < -3.5

8) y = 1 > x > 2.25

9) -17 < x < -5

Step-by-step explanation:

Factor completely...I need help with my algebra 2 assignment!

Answers

1.) (x+2) (x+4) (x-4)

2.) (3x-4) (x^2 +3)

3.) 2x(2x-5) (x-4)

4.) (4x+3) (2x^2 +1)

5.) (4x-5) (16x^2 + 20x+25)

6.) (x+2) (x-2) (x^2+3)

7.) 2x^2(2x+3) (4x^2-6x+9)

8.). (4x-1) (x+1) (x-1)

*Hope this helped, good luck :-)

im high & kinda slow help out .

Answers

Answer:

In google

Step-by-step explanation:

Is all

Express each ratio as a fraction in the simplest form
12 blue cars out of 48 cars

Answers

The ratio in simplest form is 1/4

The ratio is 12/48 and yo I just have to simplify it

Can you pls mark brainleist

A recipe for cookies calls for 1 cup of butter, twice as much sugar as butter, and three times as much flour as sugar. How many cups of flour will you need if you halve the recipe?

Answers

Answer : 3 cups

Explanation: if the sugar is as twice as much as butter we need 2 cups of sugar if flour is 3 times as much as sugar we’ll need 6 cups half of 6 is 3

please help. its on ratio​

Answers

Answer:

You:  6

Friend:  12, 16

Your friend sold 16 tickets

Step-by-step explanation:

u-U sincerely~ MiHa

A news report says that 9% of middle school students are on the track team. There are 600 students in your middle school How many students in your school would you expect to be on the track team? HE Pad SATTE BAR HG West nus SAUNA w 1​

Answers

Answer: 54

9% of 600 would be 54.



A survey of 100 parks showed the following.
37 had camping.
28 had camping and hiking trails.
69 had hiking trails. 33 had hiking trails and biking paths.
58 had biking paths. 15 had hiking trails, biking paths and camping.
22 had camping and biking paths.

Answers

Answer:

A) 2

B) 71

c) 4

D)42

Step-by-step explanation:

Draw the Venn diagram starting from the intersection of all

A building has 63 apartments and 70 bathrooms. What is the ratio of apartments to bathrooms in the building?

Answers

Answer:

63:70

Step-by-step explanation:

Approximate the value of the square root of 110 to the nearest hundredth

Answers

Answer:

10.4900

Step-by-step explanation:

pls make a brainliest

A furniture store had a chair that costs $42. The owner put it on sale for 20% off. How much is the chair now?

Answers

Answer:

$33.60

Step-by-step explanation:

Answer:

33.60

Step-by-step explanation:

20% of 42 is 8.40. Subtract that from 42 to get your answer.

Other Questions
Why are the 10 Commandments significant to people who are not Jewish? * A.they aren'tB.they provide instruction on how to treat each other wellC.like the Code of Hammurabi, the 10 Commandments influenced the laws of many western countriesD.they tell the stories of many gods PLEASE SOLVEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!! How is mass related to acceleration? A) There is no relationship. B) The greater the mass of an object, the greater its acceleration. C) The greater the mass of an object, the lesser the acceleration. D) It is always different. I would really appreciate it if sombody helped me please i suck at me math :( What makes math word problems challenging for you? If word problems are not hard for you, explain what you do to solve them. HELLLLPPPP MEEE PLZZZ!!!! What is 4/6 + 5/7Please add the fractions what was the first railroad in texas no initials, please. Which of the following shows how other cultures have influenced the creation of recently trending physical activity into modern mainstream culture? (5 points)Group of answer choicesYogaTennisSwimmingBasketball What is the image point of (-5,3) after a translation left 3 units and down 1 unit? When one forces another to have sexual relations, it is called _____? Given the table, explain how to find the slope of the linear function Sharise Brody folds and glues corrugated cardboard boxes at the rate of $0.57 per box. If she averages 40 boxes per hourhow much is her average hourly pay? Explain the causes and global consequences of the French Revolution and Napoleonic EraWhat was the primary cause for the French Revolution?How did the people respond to the actions of the French government? What was the result of the French Revolution and the Napoleonic Era and what is the lasting impact in France?Comment on some of the entries of your classmates. How does their post help you to better understand the events of the French Revolution. What would a seductive decoy operate? is your name darel ibyibewbyqybyubycbywb 100 will buy lunches for 80 school children for 5 days work out the cost of buying lunch for one school child for one day I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. b x=10 in. PLS HELP WILL MARK AS BRIANLIEST PLSS Hey whoever wants to talk im here lol Flat characters can_______Question 4 options:change over time.advance the plot.be the protagonist.have many traits.