Answer:
5 more hours i think i might be wrong
Step-by-step explanation:
You have to find the inverse of the function, then plug in -25 to that.
So:
First replace y with x and x with y
x=4(y+8)^2 - 9
Solve for y
x + 9 = 4(y+8)^2
(x + 9)/4 = (y+8)^2
Here square root both sides
sqrt((x + 9)/4) = y + 8
Subtract 8 from both sides
y = sqrt((x + 9)/4) - 8
Now plug in -25 in this equation
y = sqrt((-25 + 9)/4) - 8
solve
y = sqrt((-16 / 4)) - 8
Here, there is a negative number under the square root sign. So, -25 cannot be in the domain and the answer is D.
Answer:
-22x +18
Step-by-step explanation:
12x + 18 -34x
Combine like terms
12x -34x +18
-22x +18
Answer:
1.15p + 285 = 5.84
Step-by-step explanation:
This problem has two equations. Total cost and Total pounds. The cost and the pounds
p = apple pounds
b = banana pounds
<u>Cost</u>
1.90p + .75b = 5.84
<u>Pounds</u>
p + b = 3.8
<u>Now we use the substitute method for system of equations to solve</u>
p + b = 3.8
b = -p + 3.8
<u>Now that we know what b equals, substitute is for b in the cost equation.</u>
1.90p + .75b = 5.84
1.90p + .75(-p+3.8) = 5.84
<u>distribute / multiply .75 by (-p+3.8)</u>
1.90p + -.75p + 2.85 = 5.84
<u>Combine the p values</u>
1.15p + 285 = 5.84
The probability that the first slice of the cake will have the marble exists
7/66.
<h3>How to determine the probability using parts A and B?</h3>
Part A of the question demands that the volume of the cake be
estimated.
The volume of the cake exists, ![$V=\pi(\frac{d}{2} )^{2} h \\](https://tex.z-dn.net/?f=%24V%3D%5Cpi%28%5Cfrac%7Bd%7D%7B2%7D%20%29%5E%7B2%7D%20h%20%5C%5C)
![$&V=\pi(\frac{9}{2} )^{2} * 4](https://tex.z-dn.net/?f=%24%26V%3D%5Cpi%28%5Cfrac%7B9%7D%7B2%7D%20%29%5E%7B2%7D%20%2A%204)
![$V=81 \pi](https://tex.z-dn.net/?f=%24V%3D81%20%5Cpi)
The part B of the question requires that the volume of each cut be
computed
The volume of each cut exists, V = 27
To estimate the required probability
We simply divide the volume of each cut by the volume of the cake.
![$P=\frac{27}{81 \pi}](https://tex.z-dn.net/?f=%24P%3D%5Cfrac%7B27%7D%7B81%20%5Cpi%7D)
![$P=\frac{1}{3 \pi}](https://tex.z-dn.net/?f=%24P%3D%5Cfrac%7B1%7D%7B3%20%5Cpi%7D)
Expand ![$\pi$](https://tex.z-dn.net/?f=%24%5Cpi%24)
![$&P=\frac{7}{3 * 22} \\](https://tex.z-dn.net/?f=%24%26P%3D%5Cfrac%7B7%7D%7B3%20%2A%2022%7D%20%5C%5C)
![$&P=\frac{7}{66}](https://tex.z-dn.net/?f=%24%26P%3D%5Cfrac%7B7%7D%7B66%7D)
Therefore, the probability that the first slice of the cake will contain the
marble exists at 7/66.
To learn more about probability refer to:
brainly.com/question/24756209
#SPJ4