Method 1:
The recursive formula states that every next term is three times the previous one, plus two.
So, we have:
Method 2:
You can write the expression for , and use the recursive formula until you get to the starting point:
Now use the fact that to get the conclusion
Answer:
The p-value is;
d. 0.00131
Step-by-step explanation:
The given question parameters are;
Company A Company B
Sample size 80 60
Sample mean $16.75 $16.25
Population standard deviation σ₁ $1.00 σ₂ $0.95
Therefor, we have;
The p-value = 1 - 0.99869 (the area to the right of 3.01) = 0.00131
Answer: Choice A
f(x) = (x + 2)^2 - 11
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Work Shown:
y = x^2 + 4x - 7
y+7 = x^2 + 4x
y+7+4 = x^2 + 4x + 4
y+11 = x^2 + 4x + 4
y+11 = (x + 2)^2
y = (x + 2)^2 - 11
f(x) = (x + 2)^2 - 11
In the third step, I added 4 to both sides to complete the square for the x^2+4x portion. Notice that (x+2)^2 = x^2+4x+4. So I added 4 to fill in the missing piece needed to complete the square.
Put another way the '4' added to both sides is because we first divided the x coefficient 4 in half to get 4/2 = 2. Then you square it to get 2^2 = 4.
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Alternative Method (optional)
y = x^2 + 4x - 7 is in the form of y = ax^2+bx+c
where: a = 1, b = 4, c = -7
Plug those a,b values into the formula below
h = -b/(2a)
h = -4/(2(1))
h = -2
This is the x coordinate of the vertex.
Use it to find the y coordinate of the vertex.
y = x^2 + 4x - 7
y = (-2)^2 + 4(-2) - 7
y = -11
The vertex is located at (h,k) = (-2,-11)
We have the template y = a(x-h)^2 + k update to y = (x + 2)^2 - 11 after plugging in a = 1, h = -2, and k = -11.
Answer:
She should start making the batter at 1:17 p.m.
Step-by-step explanation:
The cake will take 46 minutes to bake. Subtract that time from 2:41 p.m to get 1:55 p.m. Subtract 38 minutes from that to get 1:17p.m. That is the answer I got. Good luck :)
Answer:
The exact perimeter is meters.
This is approximately 25.5 meters (nearest tenth).
The area of the rectangle is 36 square meters.
Step-by-step explanation:
Area of a rectangle = width × length
Perimeter of a rectangle = (2 × width) + (2 × length)
Given:
- length = m
- width = m
<u>Perimeter</u>
The exact perimeter is meters.
This is approximately 25.5 meters (nearest tenth).
<u>Area</u>
<u />
The area of the rectangle is 36 square meters.