Evaluate 9x^2y^-2 for X=-3 and y=2

Mathematics

2 answers:

Sergeu [11.5K]2 years ago

6 0

9*(-3)^2*(2)^-2
9*9*2^-2
81*2^-2
81*(1/4)
20.25

Final answer: 20.25 or 81/4

yuradex [85]2 years ago

5 0

Answer:

so if its 81/4 the real answer would be 20 1/4

Step-by-step explanation:

Step 1 Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 81 by 4 and keep only what is to the left of the decimal point:

81 / 4 = 20.2500 = 20

Step 2 Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

81 - (4 x 20) = 1

Step 3 solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 81/4 as a mixed number is:

20 1/4

You might be interested in

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.

Naya [18.7K]

It's a geometric sequence.

$4,-12,36,... \\ \\
a_1=4 \\
r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\
a_n=a_1 \times r^{n-1} \\
a_n=4 \times (-3)^{n-1} \\
a_n=4 \times (-3)^{-1} \times (-3)^n \\
a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\
a_n=-\frac{4}{3}(-3)^n$

It's the sum for term 4 through term 15.

$\boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}$

8 0

2 years ago

5.65 times 3.4 estimate

lidiya [134]

We can round 5.65 up to 6 and 3.4 down to 3.
3 * 6 = 18
now let's see how close our estimate is to the real answer
5.65 * 3.4 = 19.21
Our answer was pretty close to the real answer!

Hope I helped!
~ Zoe

3 0

3 years ago

Read 2 more answers

Least common factor of 12 20 and 24

Ymorist [56]

Answer:

2 is the LCF :)

Step-by-step explanation:

All are divisible by 2. 2 is the lowest number than even numbers can be divided by.

5 0

3 years ago

Make a table of values for the function rule. then graph the function. y=-x²+4