Answer:
A, g(x) = 7x + 5
Step-by-step explanation:
applying these translations to the parent function f(x) = x, we would get the following equation:
g(x) = 7x + 5
a vertical compression is written before the parent function (in this case f(x)=x), and a shift up is written next to the function. both of these are without parentheses
the answer would be A, g(x) = 7x + 5
Hello!
<h2>Answer: </h2>
23. 138 people voted for Nyemi, 69 people voted for Luke, and 23 people voted for Natalie.
24. Reina did not ride 11/16 of the rides.
<h2>
Explanation:</h2>
23:
3 ÷ 5 = 0.6
230 × 0.6 = 138
230 × 0.3 = 69
230 × 0.1 = 23
24:
We know that Alberto rode 5/8 of the rides at the park, and Reina rode half of this.
5/8 × 1/2 = 5/16
16 - 5 = 11
Answer:
100 hours
Step-by-step explanation:
Law firm A = 350x + 22,000,
Law firm B = 410x+16,000
Where,
x = number of hours of legal assistance
What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true?
Equate the legal fees of the two law firms
350x + 22,000 = 410x + 16,000
Collect like terms
350x - 410x = 16,000 - 22,000
-60x = -6,000
Divide both sides by -60
x = -6,000 / -60
= 100
x = 100 hours
The number of hours of legal assistance makes the equation true is 100 hours
Answer:
84=2l+2w
w=21
Step-by-step explanation:
84=2(l+w)
42=l+w
l=42-w
Area=l×w
A=(42-w)×w
Differentiate A=42w-w×w
with respective to "w".
dA/dw= 42-2w
For a minimum or maximum area
dA/dw=0
then, 42-2w=0
w=21
proving "A" is maximum when "w=21"
dA/dw>0 when w<21
dA/dw<0 when w>21
Therefore Area is maximum when "w=21"
(x - 4)² = 25
x - 4 =
√25
x - 4 =
5
x = 5 + 4 or x = -5 + 4
x = 9 or x = -1
Method Use : Completing the square-------------------------------
Answer: x = 9 or x = -1-------------------------------
