Answer:
x = -2
Step-by-step explanation:
-31 = 4x³ + 1
4x³ = -32
x³ = -8
x = -2
Answer:
y = 5x - 4
Step-by-step explanation:
The equation y = 5x + 9 currently does not pass through the point (3, 11). It asks us to create the equation of a line parallel to y = 5x + 9. So all we have to change is the 9, where the line passes through the y-coordinate. The slope, 5x, has to stay the same, otherwise, the new line will not be parallel to y = 5x + 9.
The line has to pass through to point (3, 11). The 3, stands for the x value, and 11 the y value. If we start at the y value of -4, that means the very next point would be (1, 1), and the next one, (2, 6), and the final one, (3, 11). This is because we know the slope of the line is 5x, that means for every 1 gained x value, the y value gains 5 values.
So, the equation of the new line would be this:
y = 5x - 4
I Hope That This Helps! :)
Answer: ![-3\sqrt{5}](https://tex.z-dn.net/?f=-3%5Csqrt%7B5%7D)
-3 times the square root of 5
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Explanation:
Let ![x = \sqrt{5}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B5%7D)
Replace all the root 5 terms with x and we go from
![3\sqrt{5}-8\sqrt{5}+2\sqrt{5}](https://tex.z-dn.net/?f=3%5Csqrt%7B5%7D-8%5Csqrt%7B5%7D%2B2%5Csqrt%7B5%7D)
to
![3x-8x+2x](https://tex.z-dn.net/?f=3x-8x%2B2x)
From here, combine like terms to get
![3x-8x+2x = -5x+2x = -3x](https://tex.z-dn.net/?f=3x-8x%2B2x%20%3D%20-5x%2B2x%20%3D%20-3x)
and the last thing to do is replace the x with sqrt(5)
![-3x = -3\sqrt{5}](https://tex.z-dn.net/?f=-3x%20%3D%20-3%5Csqrt%7B5%7D)
Meaning that,
![3x-8x+2x = -3x](https://tex.z-dn.net/?f=3x-8x%2B2x%20%3D%20-3x)
![3\sqrt{5}-8\sqrt{5}+2\sqrt{5} = -3\sqrt{5}](https://tex.z-dn.net/?f=3%5Csqrt%7B5%7D-8%5Csqrt%7B5%7D%2B2%5Csqrt%7B5%7D%20%3D%20-3%5Csqrt%7B5%7D)
Answer:
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Answer: f(g(x))= -2x+43
Step-by-step explanation:
Here, you would start by substituting the equation for g(x) into the x value of f(x) equation.
Since g(x)=1/4x+5, f(g(x)) would be:
f(g(x))= 3-8(1/4x+5)
Then you would simplify.
f(g(x))= 3-8(1/4x+5)
= 3-2x+40
=-2x+43