1. First step: To get a term of x by itself, add 5 to both sides
Second step: This will become 3x<24
Third step: To separate 3x, divide everything by 3: 3x÷3 < 24÷3
Step four: x < 8
2. First subtract both sides by 12: - 2x + 12 - 12 < - 4 - 12
Second: This becomes - 2x < -16
Third: Divide by -2 to get x by itself - 2x ÷ - 2 > -16 ÷ - 2 Note: If you divide by a negative number, the inequality sign switches. This is a really important step that most students forget.
Fourth: x>8
Note: Try plugging in values when you are done if you are uncertain you have the right answer.
diameter of human hair is around 0.0025cm
in scientific notation it is: 2.5x10^-3
A=1/2 b*h
So substitute it in 1/2*1/2*4
1/2*1/2= 1/4
1/4*4= 4/4= 1 so the entrance is 1 foot tall
Answer:
The value of f(1) is larger than the value of f(3)
Step-by-step explanation:
Put the numbers in the equation and do the arithmetic.
f(1) = -2(1²) +3(1) +10 = 11
f(3) = -2(3²) +3(3) +10 = 1
11 is larger than 1, so f(1) is larger than f(3).
Answer:
QR ≈ 16.3
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
57 QR = 926.9 ( divide both sides by 57 )
QR ≈ 16.3 ( to the nearest tenth )