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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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2900 dollars is placed in an account with an annual interest rate of 9% Wirte an equation that calculates how many dollars will

valentinak56 [21]

Answer:

The amount that will be in the account will be $(2900 +261x)

Step-by-step explanation:

We know that the amount of money that will be in the account will be a sum of the initial principal ($2900) and the interest that is accrued after x years.

Since we already know the principal, we will have to calculate the interest that is accrued after x years.

we can use the formula:

Interest = (principal X rate X time)/ 100

Interest = $(2900 \times 9 \times x)/100=261x$

Therefore the amount that will be in the account will be $(2900 +261x)

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2 years ago

Whats y equal too <br> -15 = -4y + 5

Bogdan [553]

Answer:

y= -2.2

i think

Step-by-step explanation:

4 0

2 years ago

What is the value of d when 11(d+1)=4(d+8)

andreev551 [17]

The answer is D=3 11(3*+1)=4(3*+8)
11(4)=4(11)
44=44

4 0

3 years ago

Read 2 more answers

The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?

marissa [1.9K]

To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
$D_{AB} = \sqrt{( x_{2}-x_{1})^2+{(y_{2}-y_{1})^2}
$
$x_{1} =1, x_{2} =-2, y_{1} =2, y_{2} =3$
$D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}$
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
$D_{AB}= \sqrt{(2+1)^2+{(3-4)^2}$
$D_{AB}= \sqrt{(3)^2+(-1)^2}$
$D_{AB}= \sqrt{9+1}$
$D_{AB}= \sqrt{10}$

Now, the formula for the perimeter of a pentagon is
P = 5×side length

So...
Perimeter = 5× $\sqrt{10}$

The answer is (2)

8 0

3 years ago

Question 1 What is the x-coordinate of the point in the standard (x, y) coordinate plane at which the lines y = 2x + 6 and y = 3

raketka [301]

Answer:adsfsaffkfhsadfs

Step-by-step explanation:

I need point sorry im doing a compeition

3 0

2 years ago