Answer: Choice C
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
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Explanation:
When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so
f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5
f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5
f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.
The reason why we replace every x with -x is because of the examples mentioned below
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Examples:
The point (1,2) moves to (-1,2) after a y axis reflection
Similarly, (-5,7) moves to (5,7) after a y axis reflection.
As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.
Answer:
1.55 feet.
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle R = 24°
Hypothenus = RS = 3.8 feet
Opposite = ST = x
The value of x can be obtained by using the sine ratio. This is illustrated below:
Sine R = Opposite / Hypothenus
Sine 24 = x / 3.8
Cross multiply
x = 3.8 × Sine 24
x = 3.8 × 0.4067
x = 1.55 feet
Thus, the Lenght ST is 1.55 feet.
Answer:
The procedure for this case is add three, then divide by 5.
Step-by-step explanation:
if y=5x-3
to find the inverse, we exchange x and y then solve for the new y.
x=5y-3 add 3
x+3 = 5y divide by 5
(x+3)/5 = y
or
inverse, y=(x+3)/5
The procedure for this case is add three, then divide by 5.
Answer:
I got eleven 5 dollar bills and and I got 3 ten dollar bills
Step-by-step explanation:
what i did was start out with 85/5, then that was 17 so I started minusing 2 fives to = 1 ten so 15 5's and 1, 10 then so forth 13 5 dollar bills and 2 10 dollar bills, 11 5 dollar bills and 3 ten dollar bills. y=-2x+17
Answer:
For the cost from the two methods to be equal, 3,200 books have to be produced
Step-by-step explanation:
In this question, we are asked to calculate the number of books that will be produced for two methods of production having different fixed and variable costs to have the same production cost.
Since the number of books is something we do not know, let’s represent it with a variable called c.
For the first production method, the cost of production will be ; 58,881 + 8.50c
For the second production method, the cost of production will be; 18,081 + 21.25c
Now since they are said to be equal, we proceed to equate both;
58,881 + 8.5c = 18,081 + 21.25c
58,881-18,081 = 21.25c - 8.5c
40,800 = 12.75c
c = 40,800/12.75
c = 3,200 books
