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3 years ago

Answer the highlighted questions

Mathematics

2 answers:

ser-zykov [4K]3 years ago

8 0

Amy can afford 10hrs. of guitar lessons after buying the guitar.

Directions:
725 - 475 = 250

25 × 10 = 250

iris [78.8K]3 years ago

3 0

1.) 5n-4=11 n=3

2.) .5n+15=9 n=(-6)

3.) 7n-6=(-20) n=(-2)

4.) 4n+8=(-12) n=(-5)

5.) $9.99+$0.25x=$113.74 x=415

6.) $475+$25x=$725 x=10

7.)

8.)

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2 years ago

Fill in the blank. A(n) _______ distribution has a "bell" shape. A(n) ▼ outlier polygon normal relative frequency distributio

EastWind [94]

Answer:

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3 years ago

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

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3 years ago

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