Answer:
A rational number is a number that can be made by dividing two integers (an integer is a number with no fractional part). The word rational includes the word "ratio." Rational numbers are basically numbers, either positive or negative that you get by dividing 2 numbers. Any number is a rational number, even fractions and decimals, except pi due to the fact that it's a irrational number.
Step-by-step explanation:
Examples of rational numbers include, 1, which you get by dividing 1 by 1, 2 which you get by dividing 2 by 1 and 2.12, which you get by dividing 212 by 100.
The graph of f(x) opens upward
For the values of x < -5 the function is a line with negative slope, for the values of x > - 5 the function is a line with positive slope.
The two lines intercept in the point (-5,-2). That is the vertex of the function; a minimum value. So, all the other points are above the line y = -2.
Answer: It would take 40 minutes to mow a lawn with a mower containing 12-inch wide blades.
Step-by-step explanation:
(18 + 12q) = 6(2q - 7) Use the Distributive Property on both sides
6 + 4q = 12q - 42 Subtract 12q from both sides
6 - 8q = -42 Subtract 6 from both sides
-8q = -48 Divide both sides by -8
q = 6
Answer:
Step-by-step explanation:
let the number of dimes=x
and number of quarters=y
x=2y
0.10 x+0.25 y=2.25
or 10x+25y=225
divide by 5
2x+5y=45
2 ×2y+5y=45
4y+5y=45
9y=45
y=45/9=5
x=2y=2×5=10
Hence dimes=10
quarters=5
