Complete Question
The complete question is shown on the first uploaded image
Answer:
a
![g(h(x)) = \sqrt[4]{x^2 + x +5} + 3](https://tex.z-dn.net/?f=g%28h%28x%29%29%20%3D%20%5Csqrt%5B4%5D%7Bx%5E2%20%2B%20x%20%2B5%7D%20%2B%203)
b
![h(g(x)) = \sqrt{x} + 7\sqrt[4]{x} + 17](https://tex.z-dn.net/?f=h%28g%28x%29%29%20%20%3D%20%5Csqrt%7Bx%7D%20%20%2B%207%5Csqrt%5B4%5D%7Bx%7D%20%2B%2017)
c
![h(h(x)) = [x^2 + x + 5 ]^2 + x^2 + x + 10](https://tex.z-dn.net/?f=h%28h%28x%29%29%20%3D%20%20%5Bx%5E2%20%2B%20x%20%2B%205%20%5D%5E2%20%2B%20x%5E2%20%2B%20x%20%2B%2010)
Step-by-step explanation:
From the question we are told that
and
![g(x) = \sqrt[4]{x} + 3](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%5B4%5D%7Bx%7D%20%2B%203)
Considering first question
Now we are told g(h(x))
i.e
![g(h(x)) = [x^2 + x + 5 ]^{\frac{1}{4} } + 3](https://tex.z-dn.net/?f=g%28h%28x%29%29%20%3D%20%20%5Bx%5E2%20%2B%20x%20%2B%205%20%5D%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%20%2B%203)
=>
Considering second question
Now we are told h(g(x))
i.e
![h(g(x)) = [x^{\frac{1}{4} } + 3]^2 + x^{\frac{1}{4} } + 3 + 5](https://tex.z-dn.net/?f=h%28g%28x%29%29%20%3D%20%20%5Bx%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%20%2B%203%5D%5E2%20%2B%20%20x%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%20%2B%203%20%2B%205)
=> 
=> 
=>
Considering third question
![h(h(x))= [x^2 + x + 5]^2 + [x^2 + x + 5 ] + 5](https://tex.z-dn.net/?f=h%28h%28x%29%29%3D%20%5Bx%5E2%20%2B%20x%20%2B%205%5D%5E2%20%2B%20%5Bx%5E2%20%2B%20x%20%2B%205%20%5D%20%2B%20%205)
=>
Answer:
The Answer is: The y intercept form for a line that is parallel to the given equation and passes through the given point is: y = 1/2x + 6.
Step-by-step explanation:
Given a point: (4, 8)
Given and equation:
y = 1/2x - 3
Write an equation parallel that passes through the point (4, 8).
Start with the point-slope form of the equation, use the slope m = 1/2 from the given equation:
y - 8 = 1/2(x - 4)
Solve for y to get the slope intercept form:
y - 8 = 1/2x - 2
y = 1/2x - 2 + 8
y = 1/2x + 6
Proof:
Solve for f(x) when x = 4
f(4) = 1/2x + 6
= 1/2(4) + 6
= 2 + 6 = 8, giving the point (4, 8)
Your answer: A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches ...
brainly.com/question/18026512
Answer:
m = -1
Step-by-step explanation:
y = -x can also be written as
y = -1x + 0
The slope is -1.
In slope intercept equations, if the slope is '1' or '-1' they would usually drop the one.
Hope this helps.
Answer:
Step-by-step explanation:
Using trigonometric ratio cos.
Here,
- Theta = θ = x
- Adjacent = 12
- Hypotenuse = 28
<h3><u>Finding x:</u></h3>
![\displaystyle cos \theta =\frac{adjacent}{hypotenuse} \\\\cos \ x =\frac{12}{28} \\\\cos \ x = 0.43\\\\x = cos^{-1} 0.43\\\\x = 65 \textdegree\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%20%5Ctheta%20%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%5C%5C%5C%5Ccos%20%5C%20x%20%3D%5Cfrac%7B12%7D%7B28%7D%20%5C%5C%5C%5Ccos%20%5C%20x%20%3D%200.43%5C%5C%5C%5Cx%20%3D%20cos%5E%7B-1%7D%200.43%5C%5C%5C%5Cx%20%3D%2065%20%5Ctextdegree%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
