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NNADVOKAT [17]
3 years ago
13

Write an exponential function in the form y = ab" that goes through points (0,19) and (6, 1216).

Mathematics
1 answer:
Elanso [62]3 years ago
4 0

The exponential function is y=19*2^x

Step-by-step explanation:

The exponential function in the form of y=ab^{x}

First find the value of a and b if x=0 and y=19

y=ab^x\\\\19=ab^0\\\\\\19=a*1\\\\\\19=a

Find the value of b in y=ab^x

where x=6,y=1216  and a=19

1216=19b^6\\\\\\1216/19=b^6\\\\\\64=b^6\\\\\sqrt[6]{64} =b\\\\2=b

The function is y=19*2^x

Learn More

Exponential function :brainly.com/question/11925273

Keywords : exponential function

#LearnwithBrainly

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If Included in the table, which ordered pair (-4,1) or (1,-4), would result in a relation that is no longer a function. Explain
Kruka [31]

Answer:

(-4,1)

Step-by-step explanation:

Ordered pair (-4,1) means that x = -4 and f(x) = 1

Ordered pair (1,-4) means that x = 1 and f(x) = -4

From the table, we can see that the function is already defined for x = -4, but it is not defined for x = 1. So, the point (1,-4) can be included into the function, but the point (-4,1) cannot.

4 0
3 years ago
How to find the maximum value of a function on an interval calculator
Alex787 [66]

Answer:

From the plot, one can conclude that the points (x1, y1), (x3, y3) are maxima of the function. The points (x2, y2), (x4, y4) are minima of the function. Both, these points are called extrema of the function.

7 0
2 years ago
A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. which equation represents the distance that the car travels in m
Ksju [112]

Answer:

3/4 mile per minute

Step-by-step explanation:

2 5/8=21/8

3 1/2=7/2

---------------

(21/8)/(7/2)=(21/8)(2/7)=42/56=3/4

4 0
3 years ago
PLEASE HELP
VikaD [51]

Answer:

1,172.3 cm³

Step-by-step explanation:

Find the volume of one rod, then divide the total volume of steel used by the volume of one rod.  The volume of one rod is

V = (πd²/4)h

d = 4 cm

h = 20 cm

Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V.  If the result is not an integer, then round down.

Add

20 + 4 = 24

Then

28,134.4 ÷ 24 = 1172.26

Rounded to the nearest 0.1 or  the Tenths Place = 1,172.3

Therefore, 1,172.3 rods will be made per hour.

8 0
3 years ago
1. Find the probability of rolling a sum less than 4 or a
-Dominant- [34]
<h3>Answer:  13/36</h3>

=============================================================

Explanation:

Refer to the chart below. The values in red up top add to the values in blue along the left column to get the 6 by 6 grid of values inside. This represents all of the possible ways to add up values on a pair of dice. There are 6*6 = 36 outcomes.

Of those 36 outcomes, we have 13 outcomes where we roll less than a 4, or greater than 8

  1. outcome = 1+1 = 2
  2. outcome = 1+2 = 3
  3. outcome = 2+1 = 3
  4. outcome = 3+6 = 9
  5. outcome = 4+5 = 9
  6. outcome = 5+4 = 9
  7. outcome = 6+3 = 9
  8. outcome = 4+6 = 10
  9. outcome = 5+5 = 10
  10. outcome = 6+4 = 10
  11. outcome = 5+6 = 11
  12. outcome = 6+5 = 11
  13. outcome = 6+6 = 12

These 13 results are shown in green boxes in the diagram.

Since we have 13 ways to get what we want, out of 36 total, the final answer as a fraction is therefore 13/36

13/36 = 0.3611 = 36.11% approximately

5 0
3 years ago
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