Sometimes it helps to put a number line in front of you. If one number is to the left of the other number on the number line, it's a lower number. If one number is to the right of the other number on the number line, it is greater.
-5 -4 -3 -2 -1 0 1 2 3 4 5
4 is a solution of x<-5
FALSE: 4 is not greater than -5
-3 is a solution of y>-2
FALSE: -3 is not greater than -2
y≤3 includes 3 as a possible solution
TRUE: 3 is less than OR EQUAL to 3
Hope this helps! :)
Okay , so first you need to know what volume is. Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance or shape occupies or contains. Volume is often quantified numerically using the SI derived unit,To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times. so all you need to do is 9*9*12= 972/3 = 324 so the answer is b .
Answer:
x = 10.75
Step-by-step explanation:
4(x+9)=8x-7
Step 1: Distribute the 4 to the x and 9
4 * x = 4x
4 * 9 = 36
We now have 4x + 36 = 8x - 7
Step 2: add 7 to both sides
36 + 7 = 43
-7 + 7 cancels out
We now have 4x + 43 = 8x
Step 3 subtract 4x from both sides
4x - 4x cancels out
8x - 4x = 4x
We now have 4x = 43
step 4 divide both sides by 4
4x / 4 ( the 4s cancel out and we're left with x )
43/4 = 10.75
We're left with x = 10.75
Answer:
See attached picture.
Step-by-step explanation:
To graph linear inequalities, use the y=mx + b form to graph using the slope and y-intercept.
y ≤ -4x + 40 has slope -4 and y-intercept (0,40).
Start at (0,40) and mark it. Then move down 4 units and to the right 1. Mark this point at (1,36). Connect the points with a solid line since the inequality has equal to. Substitute a point like (0,0) to test where the solution set is.
0 ≤ -4(0) + 40
0 ≤ 0 + 40
0 ≤ 40
This is true so shade to the left of the line.
To graph y ≤ 10 mark a point on the y-axis at (0,10). Draw a horizontal solid line through the point. Then shade below the line.
