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Anastasy [175]
3 years ago
9

Describe how to simplify the expression StartFraction 3 Superscript negative 6 Baseline Over 3 Superscript negative 4 Baseline E

ndFraction.
Divide the bases and then add the exponents.
Keep the base the same and then add the exponents.
Multiply the bases and then subtract the exponents.
Keep the base the same and then subtract the exponents.
Mathematics
2 answers:
mart [117]3 years ago
8 0

Answer:

d i just took the test

Step-by-step explanation:

Minchanka [31]3 years ago
3 0

Answer:

Keep the base the same and then subtract the exponents.

Step-by-step explanation:

According to one of the law of indices, for given values a, m and n;

a^m/a^n = a^(m-n)

The base value which is a is maintained and the difference of exponents are taken. In indices division becomes subtraction.

Now given the expression

3^-6/3^-4

As we can see, both the numerator and denominator has the same base which is 3, therefore we will keep the base and take the difference of its exponents according to the law above:

3^-6/3^-4 = 3^(-6-(-4))

= 3^(-6+4)

= 3^-2

= 1/3^2

= 1/9

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Find the average rate of change of the function between the given values of x. y = 9+ 5x + 0.5x2 between x = 2 and x = 4.
svet-max [94.6K]

Answer:

The average rate of change is 8.

Step-by-step explanation:

The formula to calculate the average rate of change of a function F(x) is:

\frac{F(b)-F(a)}{b-a}

In this case, F(x) = 0.5x^{2} +5x+9

a=2 and b=4

You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.

In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:

F(b) = (0.5)4^{2} + 5(4) +9= 37

F(a) = (0.5)2^{2} + 5(2)+9=21

\frac{F(b)-F(a)}{b-a} = \frac{37-21}{4-2}=\frac{16}{2} = 8

The answer is 8.

3 0
3 years ago
Enter a range of values of x
igomit [66]

Answer:

-5.

Step-by-step explanation:

We know that if two corresponding sides of two triangles are equal, then third sides of the triangles depend on angle between equal sides.

Angle opposite to larger side is larger.

Since, 14 < 15, therefore

2x+10

2x

2x

x          ...(1)

We know that, angle can not not negative.

2x+10>0

2x>-10

x>-5        ...(2)

From (1) and (2), we get

-5

Therefore, the range of values of x is -5.

4 0
3 years ago
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