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Levart [38]
3 years ago
9

Solve the following inequality: 3x + 9 ≤7x -11.

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
7 0

Answer:

5 ≤x

Step-by-step explanation:

3x + 9 ≤7x -11

Subtract 3x from each side

3x-3x + 9 ≤7x-3x -11

9 ≤4x -11

Add 11 to each side

9+11  ≤4x -11+11

20 ≤4x

Divide each side by 4

20/4 ≤4x /4

5 ≤x

m_a_m_a [10]3 years ago
6 0

Answer:

x ≥ -3

Step-by-step explanation:

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -4x - 12  =   -4 • (x + 3)

Equation at the end of step  1  :

Step  2  :

2.1    Divide both sides by  -4

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2      Subtract  3  from both sides

           x ≥ -3

Inequality Plot :

2.3      Inequality plot for

        -4.000 X  - 12.000  ≥  0

 

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aliya0001 [1]

Answer:

n = 4

Step-by-step explanation:

Where's a or did you mean n?

5 0
3 years ago
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Alyssa scored x goals during the soccer game yesterday. Today she scored 3 times as many goals. She scored a total of 4 goals du
damaskus [11]

Answer:

Alyssa had scored 3 goals today.

Step-by-step explanation:

Given:

Number of goals scored yesterday = x

Total number of goals scored in 2 games = 4

We need to find the number of goals scored today.

Solution:

Now Given:

Today she scored 3 times as many goals than yesterday.

So we can say that;

Number of goals scored today = 3x

Now we know that;

Total number of goals scored in 2 games is the sum of Number of goals scored yesterday and Number of goals scored today.

framing in equation form we get;

x+3x=4\\\\4x=4

Dividing both side by 4 we get;

\frac{4x}{4} =\frac{4}{4}\\\\x=1

Number of goals scored yesterday = 1

Number of goals scored today = 3x = 3\times1 =3

Hence Alyssa had scored 3 goals today.

6 0
3 years ago
A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
kap26 [50]

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

7 0
3 years ago
Belinda bought a car one year ago.
lesya692 [45]

Answer:

$16,500

Step-by-step explanation:

The computation of the amount that should be paid for the car is shown below:

Since the car would be purchased one year ago

And, the value of the car would be decreased by 15% to $14025

So the amount that should be paid is

= $14025 × 100 ÷ (100 - 0.15)

= $16,500

8 0
2 years ago
What’s the answer pleazzzzz helplllllll 9m^2-4m-6 by 3m
dlinn [17]

Answer

D. 3m - 4/3 -2/m


<u>Explanation</u>

(9m²-4m-6) ÷ 3m  = 9m²/3m - 4m/3m - 6/3m

Carry out the division, each term is divided by 3m.

9m²/3m = 3m

- 4m/3m = -4/3

- 6/3m = - 2/m

Finally you will get,

<em>3m - 4/3 -2/m</em>

5 0
3 years ago
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