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IgorLugansk [536]
3 years ago
5

What is the average rate of change of the function f(x)=2(3)^x from x=2 to x=4

Mathematics
2 answers:
Tasya [4]3 years ago
5 0

Answer:

Use the slope formula to find the average rate of change:

m =y

2

−

y

1

x

2

−

x

1

m

=

f

(

4

)

−

f

(

2

)

4

−

2

To simplify this, we need to find values of

f

(

4

)

and

f

(

2

)

:

f

(

4

)

=

2

(

3

)

4

=

2

(

81

)

=

162

f

(

2

)

=

2

(

3

)

2

=

2

(

9

)

=

18

m

=

162

−

18

2

m

=

144

2

m

=

72

Step-by-step explanation:

Vikki [24]3 years ago
3 0
Hope it is useful!!!

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Ms. Bloom brought 4 packs of treats for Halloween. She gave away 2 1/9 packs of treats to her class and gave away 5/9 packs of t
Eddi Din [679]

Answer: 1 1/3 packs of treats


Step-by-step explanation:

2 1/9 + 5/9 = 2 6/9, which can be simplified to 2 2/3.

We subtract 2 2/3 from 4, giving us 1 1/3

8 0
3 years ago
Jonathon and Raymond earn a base salary plus commission. Jonathon earns $1500 plus 10% of his sales each month. Raymond earns $1
joja [24]

Answer:

The Jonathon and Raymond need to sell 6000 sales to earn the same amount each month.

Step-by-step explanation:

Given data

Let no. of sales = x

Jonathon earning = $ 1500 + \frac{10}{100} x

Raymond earning = $ 1200 + \frac{15}{100} x

Given that the earnings of Jonathon & Raymond are same.

1500 + \frac{10}{100} x = 1200 + \frac{15}{100} x

300 =  \frac{5}{100} x

x = 6000 sales

Therefore the Jonathon and Raymond need to sell 6000 sales to earn the same amount each month.

4 0
3 years ago
The midpoint of CD is M(-1,-2). One endpoint is C (-9,-4). Find the coordinates of the other endpoint D.
yan [13]
\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&C&(~ -9 &,& -4~) 
%  (c,d)
&D&(~ x &,& y~)
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}\quad ,\quad \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{x-9}{2}~~,~~\cfrac{y-4}{2} \right)=\stackrel{midpoint~M}{(-1~~,~~-2)}\implies 
\begin{cases}
\cfrac{x-9}{2}=-1\\\\
x-9=-2\\
\boxed{x=7}\\
----------\\
\cfrac{y-4}{2}=-2\\\\
y-4=-4\\
\boxed{y=0}
\end{cases}
6 0
3 years ago
What is the value of x3 × y1 when x = 5 and y = 10​
katovenus [111]

Answer:

150

Step-by-step explanation:

To solve the problem, put 5 instead of x, so 5*3

and put 10 instead of y, so 10*1

when combined,

(5*3) * (10*1)

= 15 * 10

= 150

Hope this helps!!

Let me know if I'm wrong...

8 0
2 years ago
14m + 51 - 6s + 75 - 81 + 115 - 95 - 41 + 10p - 3p + 51<br> what is the coefficient of m?
densk [106]

Answer:

14is \: coefficient \: of \: m

4 0
2 years ago
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