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
Mekhanik [1.2K]
3 years ago
12

If 9\geq4x+19≥4x+19, is greater than or equal to, 4, x, plus, 1, which inequality represents the possible range of values of 12x

+312x+312, x, plus, 3?
Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0

Answer:

12x+3\leq 27

Step-by-step explanation:

It is given that

9\geq4x+1

We need to find the possible range of values of 12x+3.

Subtract -1 from both sides.

9-1\geq 4x

8\geq 4x

Multiply both sides by 3.

24\geq 12x

Add 3 on both sides.

24+3\geq 12x+3

27\geq 12x+3

It can be rewritten as

12x+3\leq 27

Therefore, 12x+3 must be less than or equal to 27.

You might be interested in
An acrobat is on a platform that is 25 feet in the air. She jumps down in the initial velocity of 4 feet/seconds . Write the qua
Alenkasestr [34]

Answer:

a) h(t) = -16t²+ 4t + 25

b) Therefore it would take her 1.25 seconds to land safely in the net.

Step-by-step explanation:

The equation to be used is given as

h(t) = –gt²+ vt + S(t)

where g = force of gravity and because our question is in feet's = 16

V= Initial velocity

h = height

S = distance

a) The quadratic function for the above question

Using the formula

v = Initial velocity in the question = 4ft/s

S(t) = 25ft in the air

Hence the Quadratic function is

h(t) = –gt²+ vt + S(t)

h(t) = -16t²+ 4t + 25

b) If the safety net is placed 5 feet above the ground, how long will it take her to land safely in the net?

We are to find the time(t)

We can calculate this by using the quadratic function we derived in question (a)

The quadratic function is

h(t) = -16t²+ 4t + 25

Where, the height (h) = 5 feet above the ground

5= -16t² + 4t + 25

-16t² + 4t + 25 -5 = 0

-16t² + 4t + 20 = 0

Using the quadratic equation formula of

x = -b ± √b² -4ac /2a

where the quadratic equation =

ax² + bx + c = 0

a = -16 , b = 4 , c = 20

x = -16 ± √4² - 4×-16×20 / 2×-16

x = -1 or ,1.25

Therefore it would take her 1.25 seconds to land safely in the net

6 0
3 years ago
Help Find AB please explain
agasfer [191]

Answer:

AB=2\sqrt{29}

Step-by-step explanation:

Hope it helps you in your learning process.

7 0
3 years ago
X^2+25x-156=0 ayúdenme
Sonbull [250]
X= -25/2 + 1/2 _/1249
3 0
3 years ago
What is the simply interest. principal $ 300, rate 6.8 % time half a year 6 months
Law Incorporation [45]
The formula for simple interest for months is I=P * (r / m) * n. Where P is the principle and r is rate and m is the year or 12 months and n equals how many months.

I=300 * (0.068 / 12) * 6 = 10.2

So the interest would be $10.2
7 0
3 years ago
Read 2 more answers
A salesperson sells $3600 in merchandise and earns a commission of $576. Find the commission rate.
Kitty [74]

Total sales = $3600

Commission earned on $3600 = $576

Commission rate can be calculated as = \frac{576}{3600}\times100

= 16%

Hence, commission rate is 16%

4 0
3 years ago
Other questions:
  • What is f(x)=3x^2-18x+23 into vertex form
    5·1 answer
  • Use the rule of 78 to find the finance charge refund if the Finance charge was $476 on a 12 month payment plan and the loan was
    14·1 answer
  • Show that (2, 1) is a solution of the system of equations.
    13·2 answers
  • Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. To the nearest tenth of a m
    6·1 answer
  • Which is the graph of 5 log (x + 3) = 5?
    7·2 answers
  • find the measure of the arc or angle indicated. assume that lines which appear to be diameters are actual diameters just enter t
    9·1 answer
  • Consider the following polynomial:
    15·1 answer
  • Note Your teacher will grade your responses to questions 4-8 to ensure you receive proper credit for your answers.
    13·1 answer
  • 20POINTS Given colon g (x) = StartRoot x minus 4 EndRoot and h (x) = 2 x minus 8. What is g(h(10))?
    14·1 answer
  • Find the surface area of a cylinder with a base radius of 5 ft and a height of 6 ft.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!