Mathematics: Paul has grades of 63 and 81 on his first two tests. what must he score on his third test in order to have an average of at least 70

Paul has grades of 63 and 81 on his first two tests.

Ответ:

mariaaalopezz

14.01.2022

(60+81+s)/3≥70 multiply both sides by 3

60+81+s≥210 combine like terms on left side

141+s≥210 subtract 141 from both sides

s≥69

So Paul will have to score 69 or more on his next test in order to have an average of at least 70.

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Ответ:

ladybugperez05

07.10.2021

Mathematics

Refresh if you see errorsthe instantaneous rate of change of $g$ at a point is given by the value of the derivative function $g'$ at that point.derivatives are the instantaneous rate of change (same as the slope of a tangent line at a point).the question wants you to find $g'(2)$ .to do that, we need to find an equation for $g'(x)$ .differentiate the function $g(x)=\frac{1}{3}x^6+4x-7$ with respect to x.recall that the power rule for derivatives is as follows: $\dfrac{d}{dx}(x^n) = nx^{n-1}$ so differentiating: $\begin{aligned} g'(x)& =\left(\frac{1}{3}x^6+4x-7\right)' \\ & =\left(\frac{1}{3}x^6\right)'+(4x)'-\left(7\right)' \\ & =\left(\frac{1}{3} \cdot 6 \cdot x^5\right)+4-0 \\ & =\frac{6}{3}x^5+4\\ & =2x^5+4\\ \end{aligned}$ substituting x=2 $\begin{aligned} g'(2) & = 2(2)^5+4 \\ & = 68 \end{aligned}$ the instantaneous rate of change of the function at x=2 is 68.

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Paul has grades of 63 and 81 on his first two tests. what must he score on his third test in order to have an average of at least 70

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