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3 years ago

Find formula for exponential function passing through points (-3,3/8) and (2/12)

Mathematics

1 answer:

Alex17521 [72]3 years ago

7 0

Answer:

y = 3 · 2ˣ

Step-by-step explanation:

Exponential function is:

y = abˣ

Plug in the points:

⅜ = ab⁻³

12 = ab²

Solve the system of equations. Start by dividing the second equation by the first:

12 / ⅜ = (ab²) / (ab⁻³)

32 = b⁵

b = 2

Plug into either equation to find a:

a = 3

Therefore:

y = 3 · 2ˣ

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at one scholl at prep level there were 5 set of twins,two sets of triplets and one set of quadruplets starting school this year.

katen-ka-za [31]

Answer: Fraction of twins = $\frac{5}{8}$ Fractions of triplets = $\frac{1}{4}$ Fractions of quadruplets = $\frac{1}{8}$

Step-by-step explanation:

Since we have given that

Number of set of twins = 5

Number of sets of triplets = 2

Number of sets of quadruplets = 1

Total number of sets is given by

$5+2+1=8$

Now, we need to find the fraction of those students.

So, Fraction of twins is given by

$\frac{5}{8}$

Fractions of triplets is given by

$\frac{2}{8}=\frac{1}{4}$

Fractions of quadruplets is given by

$\frac{1}{8}$

3 0

3 years ago

Find the coordinates of the midpoint of a segment with the given endpoints.

Arada [10]

1. x midpoint: (-9+4)/(2) = -2
2. y midpoint: (3+7)/(2) = 5
3. The midpoint is (-2,5)

5 0

3 years ago

Read 2 more answers

Which is the equation of a line that has a slope of -2/3 and passes through point (-3, -1)? y=-2/3x+1.

bazaltina [42]

Answer:

y = -2/3x - 3

Step-by-step explanation:

First, write the equation using the slope. It should look like this: y = -2/3x + b. Next, find the y intercept by plugging in the point. This is what it looks like: -1 = -2/3(-3) + b. Multiply -2/3 by -3 to get 2. This is what it should look like now: -1 = 2 + b. Subtract 3 from both sides to get -3 = b. Go back to your original equation and plug in -3 for b. This is your final equation:

y = -2/3x - 3

Hope this helped! :)

7 0

3 years ago

1. Jillian and Harold both leave the mall to go home headed in different directions. The angle between their paths towards home

mr_godi [17]

Answer:

ok mlol

Step-by-step explanation:

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2 years ago

Mrs.Johnsons new car has an 18 gallon gas tank. If she can travel 400 miles on one tank of gasoline, what is her miles per gallo

serious [3.7K]

Answer:

Step-by-step explanation:

400/18=22.222222222

Round to 22

5 0

3 years ago