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
Let the length and width of the square board be x cm, when 4 cm are cut of from the corner, the dimensions of the box will be:'
length=(x-8) cm
width=(x-8) cm
height=x cm
thus the volume will be:
4(x-8)(x-8)=144
4(x^2-16x+64)=144
this can be written into:
x^2-16x^2+64=36
solving the above gives us:
x=2 or x=14
when x=2, the dimensions will be negative. Thus we take x=14 cm, the original dimensions are 14 cm by 14 cm
Answer:
Hi since area is measured in square units, all you have to do here is count the squares within those shapes.
Step-by-step explanation:
Given inequality -3(4-6x) < x+5.
We have -3 in front of Parenthesis.
That represents multiplication of -3 and Parenthesis.
The multiplication of Parenthesis could be done by applying distributive property.
On distributing, we get
-12+18x < x+5
x is added on right side of the inequality. The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get
-12+18x-x < x-x+5
-12+17x < 5
Now, we need to get rid -12 from left side.
So, we need to apply addition property of equality, we need to add 12 on both sides, we get
-12+12+18x < x+5+12
17x < 17
We need to get rid 17 from left side. So we need to apply division property of equality.
On dividing both sides by 17, we get
17x/17 < 17/17
x<1.
Answer:
A is the only solution.
Step-by-step explanation:
A simple way to solve it is to plug in the x and y values
For A, we plug in 2 for x and 3 for y
3-3=5(2-2)
0=5(0)
0=0
Ordered pair A is a solution
For B, plug in 3 for x and 2 for y
2-3=5(3-2)
-1=5(1)
-1 does not equal 5
Therefore only A is a solution
