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Finger [1]
3 years ago
10

What is the average rate of change of the function on the interval from x = 0 to x = 5?

Mathematics
2 answers:
bixtya [17]3 years ago
8 0
The average rate is 3^x/2
damaskus [11]3 years ago
6 0

Answer:

Average rate of change = 24.2

Step-by-step explanation:

f(x)=\frac{1}{2}3^x

Average rate of change formula is on interval a to b is

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

Given interval is x=0 to x=5

a=0 and b=5

Average rate = \frac{f(5)-f(0)}{5-0}

f(0)=\frac{1}{2}3^0=\fracc{1}{2}=0.5

f(5)=\frac{1}{2}3^5=\frac{3^5}(2}=121.5

Average rate = \frac{f(5)-f(0)}{5-0}

Average rate = \frac{121.5-0.5}{5}=24.2

Average rate of change = 24.2

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X squared+ y squared = 2 y = 2x squared – 3 Which of the following describes the system?
cluponka [151]

Answer:

x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}} and y=-1,\frac{1}{2}

The ordered pair solutions are (-\sqrt{\frac{7}{4}},0.5), (\sqrt{\frac{7}{4}},0.5), (-1,-1), and (1,-1).

Step-by-step explanation:

I'm assuming the system is \left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.:

x^2+y^2=2

x^2+(2x^2-3)^2=2

x^2+(4x^4-12x^2+9)=2

x^2+4x^4-12x^2+9=2

4x^4-11x^2+9=2

4x^4-11x^2+7=0

x^4-11x^2+28=0

(x^2-7)(x^2-4)=0

(4x^2-7)(x^2-1)=0

4x^2-7=0

4x^2=7

x^2=\frac{7}{4}

x=\pm\sqrt{\frac{7}{4}}

x^2-1=0

x^2=1

x=\pm1

y=2x^2-3

y=2(\pm\sqrt{\frac{7}{4}})^2-3

y=2({\frac{7}{4}})-3

y=\frac{7}{2}-3

y=\frac{1}{2}

y=2x^2-3

y=2(\pm1)^2-3

y=2(1)-3

y=2-3

y=-1

Therefore, x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}} and y=-1,\frac{1}{2}

The ordered pair solutions are (-\sqrt{\frac{7}{4}},0.5), (\sqrt{\frac{7}{4}},0.5), (-1,-1), and (1,-1).

4 0
2 years ago
At a ski resort, the cost of renting ski equipment for x days can be represented by the function
Andrews [41]

Answer:

  • C(h(x)=14x-7)

Step-by-step explanation:

h(x)=44x+8-(30x+15)

=44x+8-30x-15

=44x-30x+8-15

=14x-7

7 0
3 years ago
Read 2 more answers
Write the doubles plus one fact for 7+7.
Pie

Answer:

7 + 8 = 7 + 7 + 1.

Step-by-step explanation:

We know that, 'double plus one facts' is used to make the addition of numbers easy.

For e.g. we have 8 + 9 = 17. This addition can also be done as 8 + 8 + 1 = 17 i.e. we write first term twice and add 1 to get the result.

Hence, we give the name to this type of addition as 'double plus one'.

Now, we have to use this fact for 7 + 7.

So, we consider 7 + 8 = 15.

Therefore, 7 + 8 can be written as 7 + 7 + 1

Hence, the double plus one facts for 7 + 7 is 7 + 8 = 7 + 7 + 1.

7 0
3 years ago
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Mean starting salary was $93,000, with a standard deviation of $17,000. What is the 95% confidence interval for the average star
SpyIntel [72]

Answer:

1

Step-by-step explanation:


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3 years ago
Which table of values will generate this graph?
IRINA_888 [86]

Answer:

Step-by-step explanation:

3

7 0
3 years ago
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