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hjlf
3 years ago
8

Ab? that goes through points (0,2)

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

  y = 2·5^x

Step-by-step explanation:

Using the given points, we can solve for 'a' and 'b'.

  y = ab^x

  2 = ab^0 = a . . . . . substitute (0, 2) for (x, y)

__

  1250 = 2·b^4 . . . . substitute for 'a' and (4, 1250) for (x, y)

  625 = b^4 . . . . divide by 2

  5 = b . . . . . . . take the 4th root

The function is ...

  y = 2·5^x

____

<em>Additional comment</em>

There are two real and two imaginary 4th roots of 625. Only the positive real root is useful as the base in an exponential function like this.

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Standard automobile license plates in a country display 2 digits, followed by 2 letters, followed by 3 digits. How many differen
fomenos

Answer:

There are 1,892,800,000 different standard plates that are possible in this system

Step-by-step explanation:

The plates follow the following format:

D - D - L - L - L - D - D - D

For each digit there are 10 possible outcomes, and for each letter there are 26 possible outcomes.

So, there are

10*10*26*26*28*10*10*10 = 1,892,800,000

different standard plates that are possible in this system

3 0
3 years ago
"the least squares method will minimize the sum of squares _______ when describing the equation that best fits the ordered pairs
Evgen [1.6K]
The least squares method will minimize the sum of squares error when describing the equation that best fits the ordered pairs.
3 0
3 years ago
A linear function has the same y-intercept as x + 4y = 12 and its graph contains the point (9,5). Find the slope of the linear f
ziro4ka [17]

The answer is A: a slope of 2/9


First you need to change find the y-intercept by converting the standard form equation to slope-intercept form. The goal is to isolate y:

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x + 4y - x = 12 - x

4y = 12 - x

4y / 4 = 12/4 - x

y = 3 - x

Change so that the slope is before the intercept:

y = -x + 3


Now we know that the y-intercept is 3.

Use the slope equation, which is y2 - y1/x2 - x1, is find the slope:

5 - 3/9 - 0 = 2/9


So, the slope is 2/9!

6 0
3 years ago
A car traveled at an average rate of 51 miles per hour on one highway. It then traveled at an average rate of 71 miles per hour
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3 miles
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3 0
3 years ago
First to answer gets brainlest &lt;33
Crazy boy [7]
Awww man the other person answered before me :(
7 0
3 years ago
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