Naomi record total of 11 1/4 hours so I convert the hours to decimal form for easier easier division 11.25. divide 135 by 11.25 and get $12 an hour
53×0.2 = 10.6
53×0.06= 3.18
53+3.18+10.6= 66.78
So the answer is $66.78 / number 2
Answer: a = 4
Step-by-step explanation: Area of a triangle is calculated as: .
The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, distance will be:
b = 3 - (-2)
b = 5
Area of the triangle is 10. So constant a is
5a = 10.2
a = 4
The constant a of the function y = a(x-3)(x+2) is 4.
<u>Answer</u>
B. f(n) = 56(0.5)^n-1
<u>Explanation</u>
f(n) (1) 56
(2) 28
(3) 14
(4) 7
To find the correct relation we have to test all of them.
A. f(n) = 28(0.5)^n
f(1) = 28(0.5)¹
= 28 × 0.5 = 14
<em>f(n) = 28(0.5)^n ⇒ Not correct relation</em>
B. f(n) = 56(0.5)^n-1
f(1) = 56(0.5)¹⁻¹ = 56×1
= 56
F(2) = 56(0.5)²⁻¹ = 56 × 0.5 = 28
F(3) = 56(0.5)³⁻¹ = 56 × 0.25 = 14
<em> f(n) = 56(0.5)^n-1 ⇒ It is the correct relation</em>
C. f(n) = 56(0.5)^n
f(1) = 56(0.5)¹ = 56 × 0.5 = 28
<em>f(n) = 56(0.5)^n ⇒ Not correct relation</em>
D. f(n) = 112(0.5)^n-1
f(1) = 112(0.5)¹⁻¹ = 112 × 1 = 112
<em>f(n) = 112(0.5)^n-1 ⇒ Not correct relation</em>
Answer:
Step-by-step explanation:
Given
The attached figure
Required
x and y
If the attached is a parallelogram, then:
<em>Either segment of a diagonal are equal; So, we have:</em>
<em></em>
In
Divide both sides by 3
Substitute in
Collect like terms
Divide both sides by 4