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2 years ago

Find the mode of the following data:

1 answer:

5 0

C. 16

To find the mode, you find the highest number in the data set, then you subtract the highest number (21) from the lowest number in the data set (4). So the mode would be 16.

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What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5

jeyben [28]

Answer:

$\displaystyle c = \frac{20}{3}$

Step-by-step explanation:

According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.

We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.

So, differentiate the function. We can take the derivative of both sides with respect to x:

$\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right]$

Differentiate:

$g'(x) = -21x^2+182x-280$

Let g'(x) = 0:

$0 = -21x^2+182x-280$

Solve for x. First, divide everything by negative seven:

$0=3x^2-26x+40$

Factor:

Zero Product Property:

$x-2=0 \text{ or } 3x-20=0$

Solve for each case. Hence:

$\displaystyle x=2 \text{ or } x = \frac{20}{3}$

Since the first solution is not within our interval, we can ignore it.

Therefore:

$\displaystyle c = \frac{20}{3}$

3 0

2 years ago

If f(x)=x-3, g(x)=x^2+1 and h(x) = -4x+1 , find f(g(2))?

natka813 [3]

F(g(2))
g(2)=2^2+1=4+1=5
f(5)=5-3=2
f(g(2))=2

8 0

3 years ago

April had

Bumek [7]

First thing First. You must find have a common denominator. If you want to find it then you do this

3: 3 6 9 12 15 18 21
7: 7 14 21 28

Once you found a number they have in common (21) You do this next

3/7 * 3/3 = 9/21
2/3 * 7/7 = 14/21

Now the next thing you do is subtract your numerators but not the denominators

14-9=5

5/12

you cant simplified so your done! Hope this helps!!!!

3 0

2 years ago

How to do steps in a division problem of 616 divided by 2

leva [86]

Answer:

308

Step-by-step explanation:

616÷2 ***************************

3 0

2 years ago

Pleaseeee helpppppp !!!!!!!Will mark Brianliest !!!!!!!!!!!!!

mamaluj [8]

Answer:

GJ=35

Step-by-step explanation:

Two triangles are similar so

The equation is

4/24=x/30

1/6=x/30

6x=30

x=5

3 0

2 years ago