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Sonbull [250]
4 years ago
12

Find the unit rate. $7.96 for 4 pounds

Mathematics
1 answer:
Licemer1 [7]4 years ago
7 0

Answer:

$1.99 per lb

Step-by-step explanation:

Take the dollar amount and divide by the number of pounds

$7.96 / 4 lbs

$1.99 per lb

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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.

3 0
3 years ago
F(h) = -2(h - 4)2 + 22.​
Ivenika [448]
Here’s what I found that can help you step by step

5 0
3 years ago
What is the measure of the angle at the tail end of the kite? if the top area is where its pointed is 122?
nataly862011 [7]

Answer:

The angle is 58 degrees

Step-by-step explanation:

Given

See attachment for kite

Required

The angle at the tail end

Represent this angle with x.

From the attached kite, we have:

1 angle = 122

2 angles = right-angled

So, we have:

x + 122 +90+90 = 360 --- sum of angles in a kite

x + 302 = 360

Solve for x

x =- 302 + 360

x =58^\circ

8 0
3 years ago
Which polynomial is represented by the algebra tiles?
aev [14]

Answer:

2x^2-4x-6

Step-by-step explanation:

I don't know what kind of math this is, but simply add up all of the like-terms.

There are 2 +x^2 --> 2x^2

There are 4 -x --> -4x

There are 6 - --> -6

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3 years ago
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