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
I need help! ASAP please!
LenKa [72]

Answer:

60 f+80=287

Step-by-step explanation:

5 0
2 years ago
The volume of a sphere is 972 PI ft3. What is the radius of the sphere? Use the formula V = 4/3 PI r3 to find your answer. Enter
Kryger [21]
972=4/3πr^3
729=πr^3
232.16~ r^3
r~ 6 feet, so the radius is about 6 feet. Hope it help!
7 0
3 years ago
Read 2 more answers
Mr Smith takes orders from 12 people. 8 people want coffee and 6 people want donuts. how many people want coffee and donuts?
PIT_PIT [208]

Answer:

2

Step-by-step explanation:

8 + 6 - 12 = 2

5 0
2 years ago
A bag contains 3 red balls and 6 blue balls. 2 balls are selected at random. Find the probability of selecting 2 red balls.
Gala2k [10]

Answer: You have 1/3 possibility of grabbing 2 red balls.

Step-by-step explanation:

7 0
3 years ago
During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equa
Aleonysh [2.5K]

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

7 0
2 years ago
Read 2 more answers
Other questions:
  • (a)It takes 51
    12·1 answer
  • Solve for the length x in the right triangle shown below
    6·1 answer
  • Let y = (2 6) and u = (7 1). Write y as the sum of a vector in Span(u) and a vector orthogonal to .
    9·1 answer
  • How long does it take for an investment to double in value if it is invested 8% per annum compounded monthly? Compounded continu
    15·1 answer
  • Name three non-collinear points. Please help :)
    6·1 answer
  • How much is 81% of 403?
    11·1 answer
  • Four times a number x is at least -12<br> an inequality is ?<br> the solution is ?
    12·1 answer
  • Find the next three numbers 1, 0.6, 0.36, 0.216
    8·1 answer
  • + 14. "-4 less than a number is 17." ​
    14·1 answer
  • PLEASE HELP ILL DO THE SAME PLEASE AND I NEED STEP BY STEP IM TRYING TO LEARN :(
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!