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Fantom [35]
3 years ago
5

PLEASE HELP! Simplify: 2a^n−1·3a^1−n

Mathematics
1 answer:
stealth61 [152]3 years ago
8 0
The answer to your problem is
6
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The population of a town is 500,000 in 1990. The population increases at a rate of 5% every five years. What will be the approxi
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A = P(1+r)^(t/5) A = 500000(1+0.05)^(15/5) A = 500000(1.05)^(15/5) A = 500000(1.05)^3 A = 500000*1.157625 A = 578812.5 Telling us that the population will be about 578,812 people in the year 2005
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Solve the system using elimination. x − y = 4 −x − y = 6
kap26 [50]
X= 2 and y=-2 check by multiplying
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3 years ago
3x+2=5x What is the answer for this solving equations with variables on each side
Yanka [14]
3x +2= 5x
-3x
2= 2x
/2
1= x
So first I got all the x’s on one side and the whole numbers on the other side. So we had 2 on one side and 2x on the other. From there we divided by the number of x’s which was 2 so we can get one x only. So 2/2= 1 so x =1
6 0
2 years ago
Read 2 more answers
Re-write the equation without the h component.
levacccp [35]

Answer:

f(x) = 2[\frac{3^x}{9}] + 2

f(x) = 8(4)^x

Step-by-step explanation:

Given

f(x) = 2(3)^{x-2} + 2

f(x) = \frac{1}{2}(4)^{x+2}

Required

Remove the h component

In a function, the h component is highlighted as:

f(x) = a^{x+h}

So, we have:

f(x) = 2(3)^{x-2} + 2

Split the exponents using the following law of indices:

a^m/a^n = a^{m-n}

f(x) = 2*\frac{3^x}{3^2} + 2

f(x) = 2*\frac{3^x}{9} + 2

f(x) = 2[\frac{3^x}{9}] + 2

<em>The h component has been removed</em>

f(x) = \frac{1}{2}(4)^{x+2}

Split the exponent using the following law of indices

a^{m+n} =a^m * a^n

So, we have:

f(x) = \frac{1}{2}(4)^x * 4^2

Express 4^2 as 16

f(x) = \frac{1}{2}(4)^x * 16

Divide 16 by 2

f(x) = 8(4)^x

3 0
2 years ago
The equation of line AB is y 5x+ 1. Write an equation of a line paraliei to line AB in slope-intercept form that contains point
Alchen [17]

Answer:

The equation would be y = 5x - 15

Step-by-step explanation:

To find the equation to this line, we first have to note that parallel lines have the same slope. Since the original line has a slope of 5, we know that the new line will also have that slope. Then we can use the slope and the point in point-slope form and solve for y.

y - y1 = m(x - x1)

y - 5 = 5(x - 4)

y - 5 = 5x - 20

y = 5x - 15

7 0
3 years ago
Read 2 more answers
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