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.
Answer:
D: -5(-6x^2 + x + 2)
E: 5(2x + 1)(3x − 2)
Step-by-step explanation:
The <em>first two answer choices have incorrect constants</em> (25 and 3 vs -10). A factor of 5 is removed from the remaining answer choices, so let's remove a factor of 5 and see what we get:
30x^2 -5x -10 = 5(6x^2 -x -2)
An additional x cannot be factored from the expression, so <em>choice C can be eliminated</em>.
Multiplying each of these factors by -1 will make the product correspond to answer choice D.
Factoring will make it correspond to answer choice E, best verified by finding the x-term of the product of the binomial factors:
E: 2x(-2) +1(3x) = -x, as required
F: 2x(2) -1(3x) = x, wrong sign
The equivalent expressions are those of choices D and E.
Answer:
y-5=-3(x-17)
y-5=-3x+51
y=-3x+46
compare with equation
y=mx+c
slope = -3
Step-by-step explanation:
Circle b:
Diameter = x
Radius =
Area =
Circle a:
Diameter =
Radius =
Area =
Thus,
Area of circle b to area of circle a
=
÷
=
×
= 4
Hence, the area of circle b is
4 times the area of circle a.
Answer: To figure out if an ordered pair is a solution to an equation, you could perform a test or experiment . Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the value you get is the same as the value in the ordered pair, then that ordered pair is indeed a solution to the equation.
