1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rina8888 [55]
2 years ago
5

Which of the following is the correct graph of the solution to the inequality −8 greater than or equal to −5x + 2 > −38? (1 p

oint) number line with an open dot at 2 with shading to the left and another open dot at 8 with shading to the right. number line with an open dot at 8 and at 2 with shading in between. number line with a closed dot on 2 and an open dot on 8 and shading in between. number line with closed dots at 2 and 8 with shading between the 2 and the 8.
Mathematics
2 answers:
Svetlanka [38]2 years ago
5 0

The inequality should read:

-8 \geq -5x + 2 > -38

Subtract 2 from all the terms:

-10 \geq -5x > -40

Divide all the terms by -5 to get x by itself (note that you flip the inequality signs as you divide by a negative):

\boxed{2 \leq x < 8}

The inequality is 2 ≤ x < 8.

A closed dot represents ≤, and an open dot represents <. Since x can represent all values between 2 and 8, you will shade in between 2 and 8 on the number line. x is greater than or equal to 2, so there will be a closed dot on 2. x is less than 8, so there will be an open dot on 8.

The answer is 'number line with a closed dot on 2 and an open dot on 8 and shading in between'.

Slav-nsk [51]2 years ago
4 0

−8 greater than or equal to −5x + 2 > −38

writing it out:

-8 ≥ -5x + 2 > -38

subtract 2:

-10 ≥ -5x > -40

add 5x

5x -10 ≥ 0 > 5x - 40

separate into two expressions

5x -10 ≥ 0

5x ≥ 10

x ≥ 2

and

0 > 5x -40

40 > 5x

8 > x

combining

8 > x ≥ 2

so ans is

number line with a closed dot on 2 and an open dot on 8 and shading in between


You might be interested in
The rectangular diagram shows the design for a tood
Ksivusya [100]

Answer:

Step-by-step explanation:

What diagram?

8 0
3 years ago
576 is what percent of 800?
aleksley [76]
72 percent.
Divide 576 into 800 to get 72%
8 0
3 years ago
Read 2 more answers
The price of an item selling at 150% of its $63 value is
Triss [41]
You just have to multiply the percentage by the amount:
(150/100)×$63 
1.5×$63= $94.50
If you aren't allowed a calculator, then just find half of $63 (the 0.5 of the fraction) and add it to $63 (the 1. of the fraction).
$63÷2= $31.5
$63+$31.5= $94.50
8 0
3 years ago
Read 2 more answers
Tara wants to weigh her three stuffed animals. They will only fit on the scale two at a time. Together Addie and Missy weight 18
Pepsi [2]

Answer: Addie weighs 4 ounces

Missy weighs 14 ounces

Corky weighs 8 ounces

Step-by-step explanation:

Let a represent the weight of Addie.

Let m represent the weight of Missy.

Let c represent the weight of Corky.

Together Addie and Missy weigh 18 ounces. This means that

a + m = 18 - - - - - - - - - 1

Missy and Corky weigh 22 ounces. This means that

m + c = 22

m = 22 - c - - - - - - - - - - 2

Addie and Corky weigh 12 ounces. This means that

a + c = 12

a = 12 - c - - - - - - - - - - - 3

Substituting equation 2 and equation 3 into equation 1, it becomes

22 - c + 12 - c = 18

34 - 2c = 18

- 2c = 18 - 34 = - 16

c = - 16/ - 2 = 8

Substituting c = 8 into equation 2, it becomes

m = 22 - 8

m = 14

Substituting c = 8 into equation 3, it becomes

a = 12 - 8

a = 4

3 0
3 years ago
Divided each ingredient by 2
Fudgin [204]

Answer:

1/8, 1/4, 1/2, 1/2, 1/8 plus 1 tablespoon, 3/8, 1/16, 1/2, 1/8, 1/4

Step-by-step explanation:

multiply the denominator by 2 for each one because fractions are smaller as the number gets bigger.

4 0
2 years ago
Read 2 more answers
Other questions:
  • the slope intercept form of the equation of a line that passes through Point -3, 8 is y equals negative 2/3 x + 6 what is the po
    5·1 answer
  • What are the zeros of this function
    15·1 answer
  • Calculate the quotient of 54256/45
    8·1 answer
  • Solve forx:<br> 3x + 128<br> 3x +22
    10·1 answer
  • Each of the 25 students in Mr Walker's class sold 16 raffle tickets. If each ticket costs $15 how much money did Mr Walker's stu
    14·1 answer
  • Manuel is riding on a bike course that is 90 miles long. So far, he has ridden miles of the course. What percentage of the cours
    12·1 answer
  • Please please help i will mark u brill <br> please fast i need it right know !!!!!
    7·2 answers
  • −6 = x8+4<br> what is x?
    6·1 answer
  • 49. Dave invests 8000 in the stock market only to see his shares plummet in value to 2020.
    13·2 answers
  • SOMEONE HELEP ME ON 3 and 4. ASAP DUED IN 30 mins
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!