Answer: She deposits 50 dollars per month right? But as known her parents deposited her 2,500. So, it will take her 50 months to complete the amount of 5000 dollars needed for college.
Step-by-step explanation: Im not good with equations but here we go.
First: AS we know the account already had 2,500, and every month she deposits 50$.
What we can do is to divide 2,500 divided by 50 which will be 50.
Remark
First of all you have to declare the meaning of g(f(x)) After you have done that, you have to make the correct substitution.
Givens
f(x) = 4x^2 + x + 1
g(x) = x^2 - 2
Discussion
What the given condition g(f(x)) means is that you begin with g(x). Write down g(x) = x^2 - 2
Wherever you see an x on either the left or right side of the equation, you put fix)
Then wherever you see f(x) on the right you put in what f(x) is equal to.
Solution
g(x) = x^2 - 2
g(f(x)) = (f(x))^2 - 2
g(f(x)) = [4x^2 + x + 1]^2 - 2
f(x)^2 =
4x^2 + x + 1
<u>4x^2 + x + 1</u>
16x^4 + 4x^3 + 4x^2
4x^3 + x^2 + x
<u> 4x^2 + x + 1</u>
16x^4 + 8x^3 + 9x^2 + 2x + 1
Answer
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x + 1 - 2
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x - 1
Order.
9, 12, 12, 14, 15, 16, 18, 21
Now split into quarters.
9, 12, 12, 14, 15, 16, 18, 21
| | |
(1) (3)
Determine the values of (1) and (3) by using medians.
14 + 12 + 12 + 9 / 4
47 / 4
approx. 12
So Q1 = 12.
15 + 16 + 18 + 21 / 4
70 / 4
approx. 17
Therefore the answer is C I think. I have not done this ever before. All the knowledge I did was from research lol
Answer: 4 seconds
Step-by-step explanation:
Given: The function 
can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.
Differentiate the given function with respect to t , we get
Put h'(t)=0
Also, 
By second derivative test, h(t) is maximum at t=4.
Hence, the time in Devon which the ball reaches it maximum height = 4 seconds
Okay so you see those dots located in the fist question right? locate the coordinates ( 1, 2)
Now that you have located them, look at what the question asks
"move 3 units left and 7 units up" and what you do is move vertices ( 1,2) (aka the dot) 3 units left and move it up 7 times.
And now your new location for (1,2) should be (-2,5) because you moved the (1,2) dot 3 units to the left and 7 units up.
( now do the same for the rest of the other dots)
