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
Kruka [31]
3 years ago
10

What value of x is in the solution set of the following inequality? -3x+5>17

Mathematics
1 answer:
grin007 [14]3 years ago
3 0

Answer:

x < −4

Step-by-step explanation:

−3x + 5 > 17

Subtract 5 from both sides.

−3x > 17 − 5

Subtract 5 from 17 to get 12.

−3x > 12

Divide both sides by −3. Since −3 is < 0, the inequality direction is changed.

x <  \frac{12}{ - 3}

Divide 12 by −3 to get −4.

So then you get x < −4 which is your answer.

You might be interested in
When a number is increased by 2.8%, the result is 56. What is the original number to
Sever21 [200]

Answer:

The original number was 54.5.

Step-by-step explanation:

If a number is increased by 2.8%, then it is 102.8% of it's original number.

In mathematics, "of" in virtually all cases means "multiplied by".

Therefore, we do the opposite:

1. Convert to a decimal.

102.8% = 1.028

2. Divide by the decimal.

56 \div 1.028 = 54.47

3. Round it to the nearest tenth.

54.47 rounds to 54.5.

6 0
3 years ago
A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-st
densk [106]

Answer:

\[y < = 300\]

Step-by-step explanation:

Let x = number of out-of-state students at the college

Let y = number of in-state students at the college

As per the given problem, the constraints are as follows:

\[x < = 100\]    --------- (1)

\[y = 3 * x\]      --------- (2)

From the given equations (2), \[ x = y/3 \]

Substituting in (1):

\[y/3 < = 100\]

Or, \[y < = 300\] which is the constraint representing the incoming students.

7 0
3 years ago
Read 2 more answers
PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE R
Reika [66]

9514 1404 393

Answer:

  • 0 ≤ m ≤ 7
  • 0.4541 cm/month; average rate of growth over last 4 months of study

Step-by-step explanation:

<u>Part A</u>:

The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...

  0 ≤ m ≤ 7

__

<u>Part B</u>:

The y-intercept is the value when m=0. It is the length of the fish at the start of the study.

__

<u>Part C</u>:

The average rate of change on the interval [3, 7] is given by ...

  (f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)

   ≈ 0.4541 cm/month

This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.

3 0
2 years ago
What are the domain and range for this graph?
RideAnS [48]

ANSWER

c. Domain: [0,18]

Range: [0,360]

EXPLANATION

The domain refers to the values of x for which the function is defined.

The given straight line graph is defined for x=0 to x=18.

Hence the domain is [0,18]

The range refers to the values of y for which x is defined.

The graph is defined for y=0 to y=360.

The range is [0,360]

6 0
3 years ago
Please help! Vectors and angles
BaLLatris [955]
The velocity of the ship = 22 ∠157° = (22 cos 157°) i+  (22 sin 157°) j

The velocity of current = 5 ∠213° = (5 cos 213°) i+  (5 sin 213°) j

So, the resultant velocity = 22 ∠157° + 5 ∠213°
 = (22 cos 157°) i+  (22 sin 157°) j + (5 cos 213°) i+  (5 sin 213°) j
 = (22 cos 157° + 5 cos 213°) i + (22 sin 157° + 5 sin 213°) j
 = -24.444 i + 5.873 j
 = 25.14 ∠166.5°

The correct answer is option (1)
<span>1) 25 knots at 166.5 degree</span>








6 0
2 years ago
Read 2 more answers
Other questions:
  • What is the greatest prime you must consider to test whether 7066 is prime?
    9·2 answers
  • How to break down 4/5 + 13/15 = 1 2/3
    5·2 answers
  • Under which angle conditions could a triangle exist? Check all that apply.
    13·2 answers
  • Lauren describes a parabola where the focus has a positive, nonzero x coordinate. Which parabola(s) could Lauren be describing?
    7·2 answers
  • I need to know this thank you
    12·1 answer
  • 90 divided by 12 is equal to ?
    6·2 answers
  • A boat can travel 12 km down the river in the same time it can go 4 km up the river. If the current in the river is 2 km per hou
    14·1 answer
  • The total square footage of mini storage units being rented in a city is graphed to forecast future demand. The scatter plot has
    5·2 answers
  • What is the factored form?
    11·1 answer
  • Determine f^-1(2) given the following: f(1 = -3f(2) = -2f(-1) = 2f(3) = -1
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!