Answer:
Step-by-step explanation:
Step 1: Find what adds to _ and multiples to_
It needs to multiple to the 'c' term or 9
It needs to add to the 'b' term or -10
Step 2: Find the numbers
We know -9 and -1 make 10 and multiple to 9
-9 x -1 = 9
-9 + (-1) + -10
Step 3: Write equation in form a(x-r)(x-s)
a = 1
r = -9
s = -1
Plug in the equation to get the factored form of the equation:
Therefore the factored form of the equation is
Answer:
a. Not proportional
b. Proportional;
k = ⅞
Step-by-step explanation:
A proportional relationship is usually represented in the format, y = kx. k here represents constant of proportionality. This shows that x and y are directly proportional.
a. y = -2x + 9 is not a proportional equation.
b. y = ⅞x is a proportional equation.
Constant of proportionality: k = ⅞
Assuming both Mario and Todd just walked today.
Mario is every 8 days
Todd is every 14 days.
The days that will coincide is the Least Common Multiple (LCM) of 8 and 14
2 / 8 14
2 / 4 7
2 / 2 7
7 / 1 7
/ 1 1
The LCM = 2 * 2* 2* 7 = 56
The will both walk together in the next 56 days.
Answer:
14 is a positive integer, then it belongs to the set of natural numbers.
1 and 5/9 are rational numbers. The second is already a fraction and the first one, 1, is a natural number, but all the natural numbers can be written as the result of a fraction. For example: 1=6/6.
About the last number, I don't know if it's written correctly. That should be pi maybe, that is 3.14159.... In that case it's an irrational number.
Irrational numbers are all those real numbers that are not rational.
In general you have that:
ℕ ⊂ ℤ ⊂ ℚ ⊂ ℝ
ℕ. Natural numbers. It's the "smallest" one.
ℤ. Integers. Made with positive and negative natural numbers. Includes the natural numbers then.
ℚ. Rational numbers. Everything that can be written as a fraction. Includes both ℕ and ℤ.
ℝ. Real numbers. Any kind of number, fraction or not.
