$\bf 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}\\\\
-------------------------------\\\\

\begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
-2&0\\2&15\\7&30
\end{array}
\qquad 
\begin{cases}
x_1=2\\
x_2=7
\end{cases}\implies \cfrac{f(7)-f(2)}{7-2}\implies \cfrac{30-15}{5}
\\\\\\
\cfrac{15}{5}\implies 3$

5 0

2 years ago

Find (ƒ + g)(x) ƒ(x) = 6x2 + 3x + 1 g(x) = 2x2 – 9

gavmur [86]

Answer:

8x² + 3x - 8

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = 6x² + 3x + 1 + 2x² - 9 = 8x² + 3x - 8

8 0

3 years ago

The radius of a wheel is 21m.how much distance will it covers when it rotates 5 times?

mrs_skeptik [129]

Answer:

Distance = 660 meters

Step-by-step explanation:

Given the following data;

Radius, r = 21 m

Number of revolutions = 5 times

To find the distance covered;

The distance covered in one revolution is given by the circumference of a circle.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Substituting into the formula, we have;

C = 2 * 22/7 * 21

C = 44 * 3

C = 132 meters

Next, we find the distance covered;

Distance = Circumference * Number of revolutions

Distance = 132 * 5

Distance = 660 meters

8 0

2 years ago

There is 2 questions and I would like time to answer both of them! Please and thank you!

morpeh [17]

#1 is b and #2 is also b ,, i think..so sorry if i’m wrong!

4 0

2 years ago

Read 2 more answers