This is a simple equation:
x - 7 < 14
x < 14 + 7
x < 21
→ Many people think that because there is not "=" sign they don't flip the sign of what in this case is -7. But actually, the symbols "<" and ">" act as the equal sign. This rule doesn't apply to positive number, only negative.
Hope it helped,
BioTeacher101
(If you have any questions, feel free to ask them in the comments)
Inequality 1: y ≤ 5x + 1
Inequality 2: y > x - 2
#1. The slope is 5, the y-intercept is 1, the shaded area is below the line and the line is solid, which means that y is less than or equal to the equation. (you add the "equal to" because the line is a solid line)
#2. The slope is 1, the y-intercept is -2, the shaded area is above the line and the line is dotted, which means that y is greater than the equation
For the volume, the formula is length*width*height
so
<span><span><span>(2)</span><span>(1.5)</span></span><span>(1.5)</span></span><span>=<span>4.5
In other words, your answer would be 4.5</span></span>
A rectangular school banner
has a length of 44 inches, a perimeter of 156 inches, and an area of 1,496
square inches. the cheerleaders make signs similar to the banner. the length of
a sign is 11 inches. First solve the width of the rectangle:
1496 sq in/ 44 = 34 in
So the sign has also a width
of 34 in and a length of 11 so the area is 34*11 =374 sq in
<span>The perimeter is (34*2)
+(11*2) =90 in</span>
Bone dry, sorry nothing I can do about that