Answer:
22*1.06 = cost of meal with tax = 23.32
22*.20 = tip on the pre-tax cost = 4.40
Total = $27.72
Step-by-step explanation:
Given:
The three equations for the three numbers are



To find:
The Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
Substituting x=4 and and y=1 in the given equations, we get



In the same way find b and c.


The third number is



The required Pythagorean triple is 8, 15, and 17.
Therefore, the correct option is C.
Let the number be x
15% = 90
1% = 6
100% = 6 x 100 = 600
Answer:
(x + 1)² + 4
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a (x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
to obtain this form use the method of completing the square
• add/subtract (half the coefficient of the x-term)² to x² + 2x
= x² + 2(1)x + 1 - 1 + 5
= (x + 1)² + 4 ← the second option
Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition,
if
, and
if
.
For example,
- |2| = 2 because the input 2 is positive, so the input is unchanged;
- |-3| = -(-3) = 3 because the input -3 is negative, so the sign is switched.
What this means for this problem is that there are two cases to consider:
- If
, then
, so that

- On the other hand, if
, then
, so
