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Serjik [45]
2 years ago
7

Write an exponential function to describe the given sequence of numbers, assuming that the first number in the sequence correspo

nds to x = 0.
5.30, 180, 1080, 6480...

Mathematics
1 answer:
Fantom [35]2 years ago
6 0

Answer:

y = 5(6) {}^{x}

Step-by-step explanation:

A exponential function is represented by

y = ab {}^{x}

where a is the vertical stretch and b is the base and x is the nth

power of x

Since the first number corresponds with zero, that means our y intercept is the first number.

This means when x=0 , y=5 so let find the value of 5.

5 = ab {}^{0}

b to the 0th power equal 1 so

5 = a \times 1

a = 5

Our equation is for now

y = 5b {}^{x}

Now let plug in 1,30

30 = 5b {}^{1}

Divide 5 by both sides

6 = b {}^{1}

Anything to the 1st power is itself so b equal 6.

So our equation is

y = 5(6) {}^{x}

You might be interested in
Find the solution of this system of equations. Separate the x- and y- values with a comma. x-2y=-24 and x-y=4
defon
X - 2y = -24
x - y = 4

Isolate x in the first equation by adding 2y to both sides.
x = -24 + 2y  

Now plug in this value of x into the second equation.
(-24 + 2y) - y = 4
Solve. Combine all like terms, 2y - y.
-24 + y = 4
Add 24 to both sides to isolate y.
y = 28

Now plug y back into the first equation to find x.
x - 2(28) = -24
x - 56 = -24
Add 56 to both sides to isolate x.
x = 32

The solution is (32, 28).
6 0
3 years ago
GUYS PLS HELP ME, its math and I'm really stuck
DiKsa [7]

Answer:

B. 1/2

Step-by-step explanation:

You can see that when two weeks that pass, the plant grows one inch. This rate can be written as 1 inch : 2 weeks. But, we need to find the unit rate. To find the unit rate, or how many inches the plant grows per week, we divide both by 2.

1/2 inch : 1 week

1/2

I Hope That This Helps! :)

7 0
2 years ago
The distance from the center of an archery target to the outside edge of the target is 24 in. What is the diameter of the target
klemol [59]

Answer:

The diameter of the target is 48\ in

Step-by-step explanation:

we know that

In this problem the  distance from the center of an archery target to the outside edge of the target is equal to the radius of the target

so

r=24\ in

Remember that

The diameter is two times the radius

D=2r

substitute

D=2(24)=48\ in

7 0
2 years ago
A recursive rule for a geometric sequence is a1=49;an=3an−1.
dalvyx [7]
I think it should be an= 49x3^(n-1)
3 0
3 years ago
Write the standard equation for the circle.
Sidana [21]

Answer:

the first one

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (10, - 6) and r = 6, hence

(x - 10)² + (y - (- 6))² = 6², that is

(x - 10)² + (y + 6)² = 36

5 0
2 years ago
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