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IRINA_888 [86]
3 years ago
13

Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.

Mathematics
1 answer:
Rasek [7]3 years ago
4 0
Really you just need to plug in each one. So 4 plugged into x in the equation comes out to be 87. And if you plug in 7 it comes out to be 93. so if you take 93 subtract 87 from it, it comes to be 6. and if you take 7 and subtract 4 from it you get 3. So when we plug it in it doubles. So the average rate of change(slope) is 2. because 6/3=2. Average rate of change is the exact same thing as slope.

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A farmer is putting apples and oranges into boxes to sell at a market. He has 64 apples and 24 oranges . What is the greatest nu
dexar [7]

Well you could do 8 apple and 3 oranges per box since there are 64 apples and 24 oranges. You can either use trial and error to see what what values give you an answer of 8 for each amount of fruit. Or you can find the greatest common factor which happens to be 8 in this case, and divide each by that can come to the conclusion that 8 apples go into 8 boxes and 3 oranges do into 8 boxes Over all the answer would be 8 apples and oranges per each box, to have a total number of 8 boxes.

I hope this helps!

5 0
3 years ago
A water balloon shaped like a sphere is filled with water. The water balloon has a diameter of 3 inches. Which measurement is cl
melisa1 [442]

Answer:

Option A. 14.13 cu. in

The volume of the water balloon is 14.13 in³

Step-by-step explanation:

First we calculate the radius

r = 3in / 2

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 1.5in

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (1.5in)³

V = 4.187 * 3.375 in³

V = 14.13 in³

The volume of the water balloon is 14.13 in³

8 0
3 years ago
How do you graph y=5x
steposvetlana [31]

Answer:

Step-by-step explanation:

I

8 0
3 years ago
Read 2 more answers
If f(×)=4×^2+1 and g(x)=×^2-5 find (f-g)(×)​
trasher [3.6K]

Answer:

\large\boxed{(f-g)(x)=3x^2+6}

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)\\\\=4x^2+1-x^2+5\qquad\text{combine like terms}\\\\=(4x^2-x^2)+(1+5)=3x^2+6

8 0
3 years ago
The correlation coefficient for blood pressure and amount of vegetables eaten in a group of people is −0.7. Analyze the followin
Alinara [238K]
No it's not a reasonable conclusion. Correlation does not lead to causation. If two variables are linked, then they may affect one another or there may be another set of factors involved. There isn't enough info to know for sure. The fact that r = -0.7 is fairly close to r = -1 indicates there's moderately strong negative correlation, but I don't think it's strong enough in my opinion. More research is needed.

In short, the keyword "caused" as part of the claim is what makes it unreasonable. There is no way to know that not eating vegetables leads to high blood pressure. It may be true but again, more info is needed.
5 0
4 years ago
Read 2 more answers
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