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WARRIOR [948]
4 years ago
9

1.)What is the product of (7u+6v)(7u-6v)? 2.)What is the product of (-m+5n)(-m-5n)?

Mathematics
1 answer:
nexus9112 [7]4 years ago
3 0
1 (7u+6v)(7u-6v)
 49u^2-42uv+42uv-36v^2
49u^2-36v^2
2.  (-m+5n)(-m-5n)
    m^2+5mn-5mn-25n^2
    m^2-25n^2
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How to classify a system and give the number of solutions
Leokris [45]
1) consistent system. at least one solution.

2) inconsistent system. no solutions (the lines are parallel)

3) dependent system. equations have same slope and y-intercept(same line)independent system.

4) equations have different slopes(2 intersecting lines)

im not sure if thats what you were looking for

3 0
3 years ago
Which expression is NOT equivalent to the expression shown?
Leokris [45]
Hey there!

Let's first simplify this expression using our rules of exponents.

We know that:

1)   (a^b)^c = a^{bc}

And:

2)  a^b + a^c = a^{b+c}

Finally:

3)  x^{b} /x^c = x^{b-c}

One more:

4)  a^0 = 1

Now, we can simplify the top. Using our rule number 1<em />, we know we can just multiply the exponents to get 7^12. On the bottom, using our rule number 2, we know we can add out exponents to also get 7^12.

Without even simplifying the powers, we know that everything over itself if one. Therefore, in our answer choices, we're looking for everything not equal to one.

For the 7^12/7^12, we know that's what we just got so it equals one. For the 1, well, one equals one. For the next one, referring to our last rule, 4, anything to the power of 0 equals one, therefore that's also equal to one.

Now for our final answer choice. If we take another look at rule number 3, we know we have to subtract the exponent at the bottom from the one at the top because the exponents have the same base. That gives us 7^-24, and that surely does not equal one.

Therefore, your answer is:

7^{12}/ 7^{36}

Hope this helps!
7 0
4 years ago
An analyst for a new company used the first three years of revenue data to project future revenue for the company. The analyst p
Westkost [7]

Using limits, it is found that since \lim_{x \rightarrow \infty} f(x) < 0, the company is expected to operate at a loss, hence it is not expected to be successful.

The revenue function is given by:

f(x) = -2x^5 + 6x^4 - x^3 + 5x^2 + 6x + 50

<h3>Limit:</h3>
  • The projected revenue over the long-term is given by the limit of f(x) as x goes to infinity.

Then:

\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} -2x^5 + 6x^4 - x^3 + 5x^2 + 6x + 50 = \lim_{x \rightarrow \infty} -2x^5 = -2(\infty)^5 = -\infty

Since the limit is negative, the company is expected to operate at a loss, hence not being successful.

To learn more about limits, you can take a look at brainly.com/question/24821129

3 0
3 years ago
The area, in square units, of a rectangle is represented by the expression (x-4) (x+4) Which expression represents an equivalent
geniusboy [140]

Answer:

x^2-16

Step-by-step explanation:

Foil Method

(x*x+4x-4x-16)

x^2-16

3 0
3 years ago
Find the 30th term of the geometric sequence 100, 80, 64,...
Zinaida [17]

Answer:

0.155

Step-by-step explanation:

nth term of a geometric sequence = ar^n-1

Where,

a = first term

r = common ratio

n = number of terms

Given:

100, 80, 64,...

a = 100

r= 80/100

= 4/5

30th term of a geometric sequence = ar^30-1

= ar^29

= 100 × (4/5)^29

= 100 × (0.8)^29

= 100 × 0.00155

= 0.155

Therefore,

30th term of the geometric progression = 0.155

5 0
4 years ago
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