Answer:
the sales tax rate is 8.59%
Step-by-step explanation:
The computation of the sales tax rate is as follows:
= Tax value ÷ Total taxes
= $10.80 ÷ ($150.52 - $24.72)
= $10.80 ÷ $125.80
= 8.59%
Hence, the sales tax rate is 8.59%
We simply applied the above formula to determine the sales tax rate
Answer:
Step-by-step explanation:
<u>Given quadratic function:</u>
<u>Points on the graph:</u>
- (-2,-35), (1,-5), (3,- 15)
<u>Substitute values of x and y and solve the system of equations:</u>
- -35 = a(-2)² + b(-2) + c ⇒ -35 = 4a - 2b + c ⇔ eq 1
- -5 = a(1)² + b(1) + c ⇒ -5 = a + b + c ⇔ eq 2
- -15 = a(3)² + b(3) + c ⇒ -15 = 9a + 3b + c ⇔ eq 3
<u>Subtract eq 2 from eq 1:</u>
- -35 - (-5) = 4a - 2b + c - a - b - c
- -30 = 3a - 3b
- b = a + 10 ⇔ eq 4
<u>Subtract eq 2 from eq 3:</u>
- -15 - (-5) = 9a + 3b + c - a - b - c
- -10 = 8a + 2b
- b = -4a - 5 ⇔ eq 5
<u>Compare eq 4 and eq 5, solve for a:</u>
- a + 10 = -4a - 5
- a + 4a = -5 - 10
- 5a = -15
- a = -3
<u>Find the value of b using eq 4:</u>
<u>Find the value of c using eq 2:</u>
- -5 = -3 + 7 + c
- c = -5 - 4
- c = -9
<u>We now have a, b and c:, the function is:</u>
Answer:
1) (-50) <(-25) < (-10) < 10 < 25
2) 150 in^2
Step-by-step explanation:
For the first question we list the numbers according to their sign(start from negative)
For the second question we multiply height with width to find the area of the rectangle.
Answer:
Step-by-step explanation:
We can write a rational function.
We need to make sure our denominator both have zeroes at 3 and 10.
Set an equation equal to zero to find the function
So we would represent that's as
and
Multiply the two binomial together.
Let our numbetator be any interger.
Use any equation as long as the quadratic is the denominator and the interger is the numerator.
Answer: OPTION C
Step-by-step explanation:
There are some transformations for a function f(x). Some of them are shown below:
1. If 
, the function is shifted up "k" units.
2. If 
, the function is shifted down "k" units.
3. If 
, the function is shifted left "k" units.
4. If 
, the function is shifted right "k" units.
In this case you know that the function "g" is the transformation of the function "f".
Observe that the function "f" intersects the y-axis at:
And the function "g" intersects the y-axis at:
Therefore, since both functions are 4 units apart, you can conclude that the function "f" was shifted down 4 units to get the function "g".
Then, the rule that shows that transformation is:
