$slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2(x-2)^2+1\qquad \begin{cases} x_1=-2\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-2)}{4-(-2)} \\\\\\ \cfrac{[2(4-2)^2+1]~~ - ~~[2(-2-2)^2+1]}{4+2}\implies \cfrac{[9]~~ - ~~[33]}{6}\implies \cfrac{-24}{6}\implies -4$

7 0

2 years ago

Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round

olga55 [171]

Answer:

3053.63

Step-by-step explanation:

Use the equation for sphere volume: $V=\frac{4}{3}\pi r^3$

Plug the values in and get $V=\frac{4}{3}\pi 9^3=3053.62805929$

≈ 3053.63

Note: exact value of pi used.

8 0

2 years ago

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Jim is running on a trail that is 5/4 of a mile long. So far he has run 2/3 of the trail. How many miles has he run so far?

Advocard [28]

You have to subtract 5/4 by 2/3 but in order to do that you must find a common denominator or least common multiple so the least common denominator of 4 and 3 is 12 so you have to multiply 4 by 3 and three by 4 to make both denominators 12 but you have to do the same thing on the top as you did the bottom so: 5/4*3= 15/12 and 2/3*4=8/12 Then 15/12-8/12 is 7/12 so Jim has to run 7/12 more

7 0

3 years ago

PLEASE HELP I AM BEING TIMED. I AM VERY CONFUSED

Rasek [7]

Answer:

True

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers