Graph the solution of the inequality –3(x + 1) ≤ 6 on the number line.A. Number lines from minus five to five five by increament of one from left to right and each tick mark is labeled. Shaded part from close circle at minus three to infinity
B. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at minus three to infinity
C. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to close circle at minus three
D. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at minus three

Answers

Answer 1
Answer:

Answer:  Choice A

Explanation

Let's solve for x.

-3(\text{x}+1) \le 6\n\n-3\text{x}-3 \le 6\n\n-3\text{x} \le 6+3\n\n-3\text{x} \le 9\n\n\text{x} \ge 9/(-3) \ \ \text{ ....... inequality sign flip}\n\n\text{x} \ge -3\n\n

The inequality sign flips whenever we divide both sides by a negative number.

The number line graph will have a closed filled in circle at -3 and shading to the right. This will visually mean "The solution set is either x = -3 or x > -3". In other words, we can pick -3 or larger.

The diagram is shown below.

The diagram matches with answer choice A


Related Questions

The formula below is the general form of which of the following formulas?X= -b+-(√b^2 - 4ac) /2aA. Distance formulaB. Discriminant formulaC. Quadratic formulaD. Slope formula
PLEASE HELP, BEING TIMED, WILL GIVE BRAINLIEST!!!! Mr. Romero attached a ramp to the base of a window sill so that the family cat could more easily climb onto it. The ramp is 84 inches long. The window sill is 50 inches above the floor. What is the distance from the base of the ramp to the base of the wall?
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Write a rational number that is not an integer.
4x + y =1x + 2y = 9

Evaluate :- a) (6.4)² - (3.6)²

Answers

Answer:28

Step-by-step explanation: 6.4x6.4 = 40.96

3.6x3.6=12.96

Final answer:

To evaluate the expression (6.4)² - (3.6)², square each of the numbers and then subtract the square of 3.6 from the square of 6.4 to give a result of 28.

Explanation:

The question asked is mathematics related and it requires to evaluate an expression: (6.4)² - (3.6)². This is a simple arithmetic problem that involves squaring numbers and subtraction.

Firstly, squaring a number means multiplying the number by itself. Hence, (6.4)² equals to 6.4 * 6.4 which gives 40.96. Similarly, (3.6)² equals to 3.6 * 3.6 which gives 12.96.

Then, subtract the squared number of 3.6 from the squared number of 6.4. That is: 40.96 - 12.96, and you'll have your answer, which is 28.

Learn more about Arithmetic here:

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- ( 8x + 8 ) = 4 - 4 x

Answers

Distribute: -8x-8=4-4x
Isolate the variables from the constants: -8x+4x=4+8
Combine linked terms: -4x=12
Divide by -4: x=-3 

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?x – 4y = 8
x – 4y = 2
4x – y = 8
4x – y = 2

Answers

Answer:

Option  A is correct.

x – 4y = 8

Step-by-step explanation:

Using point slope form:

The equation of line is given by:

y-y_1 = m(x-x_1)                  ....[1]

where, m is the slope.

As per the statement:

The point passes through the line are:

(-4, -3) and (12, 1)

Using Slope(m) formula:

m = (y_2-y_1)/(x_2-x_1)

Substitute the given values we have;

m = (1+3)/(12+4)=(4)/(16)=(1)/(4)

Substitute the value of m and (12, 1) in [1] we have;

y-1 = (1)/(4)(x-12)

Multiply both sides by 4 we have;

4y-4 = x-12

Add 4 to both sides we have;

4y= x-8

-x+4y = -8

Multiply both sides by -1 we have;

x-4y =8

Therefore, the standard form of the equation for this line is, x – 4y = 8

(-4,-3)(12,1)
slope(m) = (1 - (-3) / (12 - (-4)
slope(m) = (1 + 3) / (12 + 4)
slope(m) = 4/16 = 1/4

y - y1 = m(x - x1)...using (12,1)
y - 1 = 1/4(x - 12)
y - 1 = 1/4x - 3
y = 1/4x - 3 + 1
y = 1/4x - 2
-1/4x + y = -2...multiply by -4
x - 4y = 8 <=== here it is


Find the measure of the missing angle

Answers

Answer:

45 degrees

Step-by-step explanation:

All triangles equal 180 degrees so your just add the two existing angles which gets you 135 then you do 180-135, therefore giving you 45

Three vertices of a square have coordinates (5, 1), (2, -2), and (-1, 1). What are the coordinates of the fourth vertex?

Answers

plot the points
we notice that the square is tilted diagnaol

remember that the legnths of the diagonals of a square are equal


therefor the distance between the points (5,1) and (-1,1) is the same as the ohter diagonal (distance is 6)

the other point is probably that disance up or the y vairable
(2,-2)+6 on the y
-2+6=4
(2,4)
answer is (2,4)

You are going to mix a gallon bucket of window cleaner. The

You are going to mix a gallon bucket of window cleaner. The instructions

direct you to mix 1 part cleaner to 3 parts water. How much cleaning 
solution will you need to use?*

Answers

x-amount of cleaning soulution
1Gal=x+3x
1Gal=4x
x=1/4 Gal

The amount of solution needed will be 0.25 Gal.
Hope it helped!