2x + 2 > 10
2x + 2 - 2 > 10 - 2
2x > 8
2x / 2 > 8 / 2
X > 4
Answer:
x=2 x=8
Step-by-step explanation:
h(x)=-x^2+10x-16
Set this equal to 0
0=-x^2+10x-16
Divide by -1
0/-1=x^2-10x+16
0=x^2-10x+16
Factor
What two numbers multiply to 16 and add to -10
-2*-8 = 16
-2+-8 = -10
0=(x-2) (x-8)
Using the zero product property
x-2=0 x-8=0
x=2 x=8
These are the x intercepts
Answer:
Other: 
, 0.25
Whole Numbers: -20, -6
Natural Numbers: 532, 10, 0, 
Step-by-step explanation:
Natural numbers have to be positive whole numbers such as 10 and 0
Whole numbers are similar, but you can have negative numbers here. You just can't put fractions in there.
The 3rd section is a little odd, Integers don't use fractions or decimals, same as whole numbers. The fractions and decimal numbers would go outside of that section.
Extra note: might be a tricky one because it is in fraction form but it is also written as 3. This means it is a natural number. The reason numbers such as and 0.25 are not natural numbers is because they cannot be put as whole numbers.
Answer:
18
Step-by-step explanation:
Remark
This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't
However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.
Solution
Let the width = x
Let the length = x + 5
Area of the rectangle: L * w = x * (x + 5)
Area of the smaller squares (there are 2)
Area = 2*s^2
x = s
Area = 2 * x^2
Area of the larger squares = 2 * (x+5)^2
Total Area
x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120 Expand
x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120 Remove the brackets
x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120 collect the like terms on the left
5x^2 + 25x + 50 = 120 Subtract 120 from both sides.
5x^2 + 25x - 70 = 0 Divide through by 5
x^2 + 5x - 14 = 0 Factor
(x + 7)(x - 2) = 0 x + 7 has no meaning
x - 2 = 0
x = 2
Perimeter
P = 2*w + 2*L
w = 2
L = 2 + 5
L = 7
P = 2*2 + 2 * 7
P = 4 + 14
P = 18
