The answer is (3, -7). If the function is written in the form y = a(x –
h)^2 + k, the vertex will be (h, k). Let's write the function 8x^2 – 48x
+ 65 in the form of a(x – h)^2 + k. g(x) = 8x^2 – 48x + 65. g(x) = 8x^2
– 48x + 72 - 72 + 65. g(x) = (8x^2 – 48x + 72) - 7. g(x) = (8 * x^2 – 8
* 6x + 8 * 9) - 7. g(x) = 8(x^2 - 6x + 9) - 7. g(x) = 8(x - 3)^2 - 7.
The function is now in the form a(x – h)^2 + k, where a = 8, h = 3, and k
= -7. Thus, the vertex is (3, -7).
The scale that will produce the smallest drawing would be b) 1mm:50m.
First, I converted all the measurements to centimeters:
a) 1cm:500cm
b) 0.01cm:5000cm
c) 5cm:1000cm
d) 10cm:2500cm
Then, you divide the scales:
a) 0.002
b) 0.000002
c) 0.005
d) 0.004
B is the smallest number, meaning it will be the smallest scale.
Answer:
Step-by-step explanation:
<u>Full charge can be expressed as equation:</u>
- c = 2.5 + 0.75m, where c- charge, m- miles
<u>The limit for charge is $13, then we got inequality:</u>
- 0.75m + 2.5 ≤ 13
- 0.75m ≤ 9.5
- m ≤ 9.5/0.75
- m ≤ 12.66
Option B: 10 is correct as the only number satisfying the inequality
First,
We are dealing with parabola since the equation has a form of,
Here the vertex of an up - down facing parabola has a form of,
The parameters we have are,
Plug them in vertex formula,
Plug in the 
into the equation,
We now got a point parabola vertex with coordinates,
From here we emerge two rules:
- If
then vertex is max value - If
then vertex is min value
So our vertex is minimum value since,
Hope this helps.
r3t40
2(2.2)(3.0) + 2(2.2)(7.5) + 2(7.5)(3.0)
13.2 33 45
Theres the work the answer is (4) 91.2
