20 points and brainliest somebody on number 7 & 9. i kind of want to know how to do it, so i can complete the rest of the worksheet.

I'm so sorry, I only know what question 7 is talking about:
Let's solve your equation step-by-step.
√−14x+2=x−3(Solve Square Root.)
√−14x+2=x−3−14x+2=(x−3)2(Square both sides)−14x+2=x^2−6x+9−14x+2−(x2−6x+9)=x^2−6x+9−(x^2−6x+9)(Subtract x^2-6x+9 from both sides)
−x^2−8x−7=0(−x−1)(x+7)=0(Factor left side of equation)
−x−1=0 or x+7=0(Set factors equal to 0)
x=−1 or x=−7Check answers. (Plug them in to make sure they work.)
x=−1(Doesn't work in original equation)
x=−7(Doesn't work in original equation)
No solutions.

For #9...
Let's solve your equation step-by-step.
4(x−3)(1/2)=8
Step 1: Simplify both sides of the equation.
4(x−3)(1/2)=8
Simplify: (Show steps)
2x−6=8
Step 2: Add 6 to both sides.
2x−6+6=8+6
2x=14
Step 3: Divide both sides by 2.
2x2=14
2x=7
x=7
Really hope this helps!!!:)

21/2 or 5/2

Answer

1 number

explanation

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

 

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.