Answer: ![x=-2](https://tex.z-dn.net/?f=x%3D-2)
Step-by-step explanation:
![\frac{1}{4}(x-10)=2x+1](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%28x-10%29%3D2x%2B1)
Distribute 1/4
![\frac{1}{4}x-\frac{1}{4}(10)=2x+1](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B1%7D%7B4%7D%2810%29%3D2x%2B1)
![\frac{1}{4}x-\frac{5}{2}=2x+1](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B5%7D%7B2%7D%3D2x%2B1)
add 5/2
![\frac{1}{4}x-\frac{5}{2}+\frac{5}{2}=2x+1+\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B5%7D%7B2%7D%2B%5Cfrac%7B5%7D%7B2%7D%3D2x%2B1%2B%5Cfrac%7B5%7D%7B2%7D)
![\frac{1}{4}x=2x+\frac{1*2+5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx%3D2x%2B%5Cfrac%7B1%2A2%2B5%7D%7B2%7D)
![\frac{1}{4}x=2x+\frac{2+5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx%3D2x%2B%5Cfrac%7B2%2B5%7D%7B2%7D)
![\frac{1}{4}x=2x+\frac{7}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx%3D2x%2B%5Cfrac%7B7%7D%7B2%7D)
Subtract 2x
![\frac{1}{4}x-2x=2x-2x+\frac{7}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx-2x%3D2x-2x%2B%5Cfrac%7B7%7D%7B2%7D)
![\frac{1}{4}x-2x=\frac{7}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx-2x%3D%5Cfrac%7B7%7D%7B2%7D)
![\frac{1-2*4}{4}x=\frac{7}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1-2%2A4%7D%7B4%7Dx%3D%5Cfrac%7B7%7D%7B2%7D)
![\frac{1-8}{4}x=\frac{7}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1-8%7D%7B4%7Dx%3D%5Cfrac%7B7%7D%7B2%7D)
![-\frac{7}{4} x=\frac{7}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B7%7D%7B4%7D%20x%3D%5Cfrac%7B7%7D%7B2%7D)
Multiply by the negative reciprocal of -7/4 which is basically inverting the fraction -4/7
![(-\frac{4}{7} )-\frac{7}{4} x=\frac{7}{2}(-\frac{4}{7} )](https://tex.z-dn.net/?f=%28-%5Cfrac%7B4%7D%7B7%7D%20%29-%5Cfrac%7B7%7D%7B4%7D%20x%3D%5Cfrac%7B7%7D%7B2%7D%28-%5Cfrac%7B4%7D%7B7%7D%20%29)
![x=-\frac{28}{14}\\ x=-2](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B28%7D%7B14%7D%5C%5C%20x%3D-2)
Answer:
8
Step-by-step explanation:
Given
(m + n)³ ← substitute m = 1, n = 1 into the expression
= (1 + 1)³ = 2³ = 2 × 2 × 2 = 8
Correct answer choice is :
<h2>A) Directly changed by the experimenter</h2><h2 /><h2>Explanation:</h2><h2 />
In mathematical modeling, analytical modeling and experimental sciences, the values of dependent variables depend on the values of independent variables. The dependent variables describe the output or outcome whose change is being examined. An independent variable seldom named an experimental or predictor variable, is a variable that is being formed in an experiment in order to inspect the impact on a dependent variable, sometimes described as an outcome variable.
Answer:
0.25feet
Step-by-step explanation:
The equation is not well written. Let the equation of the height be modelled as;
h = -16d²+8d+4
The velocity of the ball is zero at its maximum height.
Velocity = change in displacement/time
v = dh/dd
Differentiate
v = -32d+8
Since dh/dd = v = 0
0 = -32d+8
Add 32d to both sides
0+32d = 8
32d = 8
Divide both sides by 32
32d/32 = 8/32
d = 1/4
d = 0.25feet
Hence the maximum height of the tennis ball is 0.25feet
Note that the modeled equation was assumed. You can apply the same calculation to any equation given