Answer:
Givens
- Layla charges $2 per day, plus a sign-up fee of $3. Notice the sign-up fee represents a fixed value, that's gonna be the constant form of the function. And $2 is the ratio of change of the function, because it a cost per day.
- Sam charges $3 per day, without extra fee. So, the ratio of change of this function is $3, and it doesn't have a constant term.
According to the given information, the linear function for Layla is:
Notice that the constant ratio of change is coefficient of the independent variable, that is, because that variable represents days, and each charges $2.
On the other hand, the linear function for Sam is:
As we said before, this expression doesn't have any constant term, because the charges are flate $3 per day, it's just that rate.
Now, to find the number of days needed to both Layla and Sam earn the same money, we just have to solve the equation 
Therefore, on day three they are gonna earn the same amount of money.
There are 90 teenage girls in the concert hall.
2/5 x 600 = 240
3/8 x 240 = 90
<span>The formula is M = 3x
The distance is 3(33) = 99 mi.</span>
Answer:
x² – x – 12 = (x – 4)(x + 3)
Step-by-step explanation:
Identify two numbers that add to -1 and multiply to -12, let's call them p and q.
So ax² + bx + c = (x + p)(x + q)
pq = c
p + q = b.
It is easier to find these numbers by finding factors of -12.
This can be done by splitting the number up until all the numbers are prime.
-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)
There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.
We can eliminate them by adding them up.
6 + -2 = 4 ≠ -1 so that can't be it.
-6 + 2 = -4 ≠ -1 so that can't be it either.
-3 + 4 = 1 ≠ -1
therefore p and q are 3 and -4 because 3 + -4 = -1.
so x² – x – 12 = (x – 4)(x + 3)
p = -4, and q = 3.
(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12
Answer:
Irrational Number: A number that cannot be written as a fraction
a
b
(where b ≠ 0), a repeating decimal, or a terminating decimal.
Rational Number: A number that can be written as a fraction
a
b
(where b ≠ 0), a repeating decimal, or a terminating decimal.
Repeating Decimal: A decimal where, when dividing, a digit or group of digits repeats without end in the quotient; there is a pattern in the digits that repeat without end.
Terminating Decimal: A decimal that, when dividing, ends with a remainder of zero.
Perfect cube: A number that is made by cubing a number: a3 = a • a • a.
Perfect square: A number that is made by squaring a number: a2 = a • a.
Cube Root:
if a3 = b, then a = 3√b
For principal square root this was the best I could do: The principle of square roots requires that the square root of the side with the unknown (x) only includes x without any exponent (other than 1). The simplest form that fits this criterion is: but x can also be an expression.
I hope this helps :3
