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Anettt [7]
3 years ago
8

Drag each tile to the correct box consider the given functions f,g and h place the tiles in order from least to greatest accordi

ng to the average rate of change of the functions over the interval 0,3 h(x)=x^2+x-6
Mathematics
1 answer:
Alja [10]3 years ago
3 0

Answer:

Step-by-step explanation:

By definition, the average rate of change of a function f over an interval [a,b] is given by

\dfrac{f(b)-f(a)}{b-a}

compute the quantity

\dfrac{f(3)-f(0)}{3}

for all the three function

Average rate of change of f:

We will simply use the table to check the values for f(3) and f(0):

\dfrac{f(3)-f(0)}{3}=\dfrac{10-1}{3} = 3

Average rate of change of g:

We will use the graph to to check the values for g(3) and g(0):

\dfrac{g(3)-g(0)}{3}=\dfrac{8-1}{3} = \dfrac{7}{3}

Average rate of change of h:

We can plug the values in the equation to get h(3) and h(0):

h(3)=3^2+3-6=9+3-6=6,\quad h(0)=0^2+0-6=-6

And so the average rate of change is

\dfrac{h(3)-h(0)}{3}=\dfrac{6-(-6)}{3} = 4

You might be interested in
distribution has a mean if 18 standard deviation of 4 a value of 24 is how many standard deviations away from the mean
liraira [26]

A  value of 24 is 2.5 standard deviations away from the mean

<h3>'How to determine the number of standard deviations away from the mean?</h3>

The given parameters about the distribution are:

Mean = 18

Standard deviation = 4

Value = 24

Let the number of standard deviations away from the mean be x.

The value of x is calculated using

Mean + Standard deviation * x = Value

Substitute the known values in the above equation

18 + 4 * x = 24

Subtract 18 from both sides of the equation

4 * x = 6

Divide both sides of the equation by 4

x = 1.5

Hence, a value of 24 is 2.5 standard deviations away from the mean

So, the complete parameters about the distribution are:

Mean = 18

Standard deviation = 4

Value = 24

24 is 2.5 standard deviations away from the mean

Read more about mean and standard deviation at:

brainly.com/question/14650840

#SPJ1

4 0
1 year ago
Eric jogged for 47 minutes, ending at 3:35 p.m. When did Eric start his jog?
Mila [183]

Answer:

im pretty sure its c

Step-by-step explanation:

4 0
3 years ago
The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x 2 y = 5x 2
vova2212 [387]

The function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

<h3>What is range of function?</h3>

Range of a function is the set of all the possible output values which are valid for that function.

The function whose range is (2, ∞) has to be find out.

The first function given in the problem is,

y=2^x

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The second function given in the problem is,

y=2(5)^x

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The fourth function given in the problem is,

y=(5)^x+2

This function is translated 5 units up to the function 5ˣ which has the range (0,∞).

Thus, the range of this function is (2, ∞).

Hence, the function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

Learn more about range of the function here;

brainly.com/question/2264373

5 0
2 years ago
Let f and g be functions. (a) The function (f + g)(x) is defined for all values of x that are in the domain(s) of ____________.
krok68 [10]

Answer:

a) for all values of x that are in the domains of f and g.

b) for all values of x that are in the domains of f and g.

c) for all values of x that are in the domains of f and g with g(x)≠0

Step-by-step explanation:

a) By definition (f+g)(x)=f(x)+g(x). Then x must be in the domain of f and g.

b) By definition (fg)(x)=f(x)g(x).  Then x must be in the domain of f and g.

c) By definition (f/g)(x)=f(x)/g(x).  Then x must be in the domain of f and g and g(x) must be different of 0.

5 0
3 years ago
Solve for x: 6 x2 + 2x - 3 2 = 0
Zigmanuir [339]

I think the answer is 10 because:

6x2=12

12+2x-32=0

make the like terms together = 12-32+2x=0

= -20+2x=0

again make the like terms together = 2x=0+20 [sign changes when it goes to the other side]

so, 2x=20

x=20/2 [ multiplication will change into division when it goes to the other side]

therefore x=10

8 0
3 years ago
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