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iren [92.7K]
3 years ago
10

What are the rules of exponents?

Mathematics
1 answer:
liberstina [14]3 years ago
8 0
The rules of exponents allow you to simplify expressions involving exponents. When multiplying two quantities with the same base, add exponents: xm⋅xn=xm+n x m ⋅ x n = x m + n . When dividing two quantities with the same base, subtract exponents: xmxn=xm−n x m x n = x m − n .
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What are the possible numbers of positive, negative, and complex zeros of f(x) = -3x4 + 5x3 - x2 + 8x + 4?
Aleksandr [31]
Positive Roots: 3 or 1
Negative Roots: 1
4 0
3 years ago
Read 2 more answers
HELP
charle [14.2K]

Answer:

2

Step-by-step explanation:

So let's call the time she needs to catch up "x", and so Terry's rate would be x-6 since he left home 6 hours earlier. Then we multiply the rates to get 20x - 120 = 80x. The answer is -2, but we can just say 2.

Checking our answer, that means if it took Sally 2 hours, it took Terry 8 hours for he left home 6 hours earlier. So 8 times 20 = 160km traveled. 2 times 80 = 160km traveled. Same distance.

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Which exponential function goes through the points (1, 16) and (4, 128)?
djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are f(x)=8(2)^{x}

Step-by-step explanation:

We know that a general exponential function is like,y=a(b)^{x}

We can find the answer by hit and trial method by plugging the values of (x,y) coordinates.

Here we are going to solve this with the above general formula.

So as the points are (1,16) then for x=1,\ y=16

Can be arranged in terms of the general equation.

ab^1=16...equation(1) and ab^4=128...equation(2)

a\times b=16, then\ a=\frac{16}{a}

Plugging the values in equation 2.

We have

\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2

Plugging b=2 in equation 1.

We have a=\frac{16}{b} =\frac{16}{2} =8

Comparing with the general equation of exponential a=8 and b=2

So the function which depicts the above points =y=8(2)^x

From theoption we have B as the correct answer.

7 0
4 years ago
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What is the coast of each day it being overdue? Also what was the previous unpaid balance?
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Solve the inequality b - 27 > 3 and write the solution in interval notation
4vir4ik [10]

Step-by-step explanation:

b - 27 > 3 \\ b > 3 + 27 \\ b > 30

8 0
3 years ago
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