Solve the following system of equations for all three variables. 2x+y+6z=2 // −2x+8y−3z= 4 //−2x+8y−9z= −8

Name the property the equation illustrates (ab)3=a(b3)

Anvisha [2.4K]

The answer to this rests on knowing that there are four properties of multiplication (which your teacher will likely expect you to know...):

These are:
1. commutative
2. associative
3. multiplicative identity
4. distributive

I won't define each of these -- they should be in your notes or textbook. Look them up.

In this case, we are multiplying three terms together -- on the left hand side the parentheses mean to multiply a and b first, then multiply that by 3. On the right hand side, we multiply b times 3 first, and then multiply the product by a.

This would be an example of the associative property of multiplication: when three or more factors are multiplied together, the product is the same regardless of how the factors are grouped.

Hope this helps!

Good luck

3 0

3 years ago

Marl borrowed $200 at 12% simple interest for one year. If he makes no payments that year, how much interest will he owe at the

ASHA 777 [7]

Step-by-step explanation:

Simple interest means that it's not added. You would need to multiply 200 and .12, yielding 24. That's the interest. The total he owes is 224, please mark as brainliest

7 0

3 years ago

Which number forms a Pythagorean triple with 8 and 10? Is it 6 or 15?

Firdavs [7]

The answer is 6. 15 triples with 9 and 12

5 0

3 years ago

A yearbook company was investigating whether there is a significant difference between two states in the percents of high school

Keith_Richards [23]

Answer: D. two-sample z-test for a difference in population proportions

Step-by-step explanation:

The options for the given questions were missing. The options are as follows:

A one-sample z-test for a sample proportion

B one-sample z-test for a population proportion

A

C two-sample z-test for a difference in sample proportions

D two-sample z-test for a difference in population proportions

Solution:

Sample proportions are used to estimate population proportions.

We are given the sample proportion of students from one state who ordered a yearbook = 70/150

We are also given the sample proportion of students from the other state who ordered a yearbook = 65/100

Since there are 2 samples and we want to investigate if there is a difference between 2 population of students,

Therefore, the most appropriate method for analyzing the results is

D. two-sample z-test for a difference in population proportions

8 0

3 years ago

Given that angleAXB is complementary to both angleCYD and angleFZE, and mangleAXB = 20°, what is mangleCYD + mangleFZE?

AlladinOne [14]

If angle AXB is complementary with angle CYD and FZE
then their sum leads to 90°
∠AXB+∠CYD=90
∠AXB+∠FZE=90

if ∠AXB=20 then both∠ CYD and∠FZE=70°

6 0

3 years ago