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chubhunter [2.5K]
3 years ago
13

How can you know if this equation is true 1/3 + 1/5 = 2/8 = 1/4

Mathematics
1 answer:
Zina [86]3 years ago
5 0
All I know is this equation is not true.
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Suppose that the functions r and a are defined for all real numbers x as follows. r(x)=2x-1 S(x)=5x write the expressions for (r
NeTakaya

\boxed{(r-s)(x)=-3x-1} \\ \\ \boxed{(r\cdot s)(x)=10x^2-5x} \\ \\ \boxed{(r+s)(-2)=-15}

<h2>Explanation:</h2>

In this exercise, we have the following functions:

r(x)=2x-1 \\ \\ s(x)=5x

And they are defined for all real numbers x. So we have to write the following expressions:

First expression:

(r-s)(x)

That is, we subtract s(x) from r(x):

(r-s)(x)=2x-1-5x \\ \\ Combine \ like \ terms: \\ \\ (r-s)(x)=(2x-5x)-1 \\ \\ \boxed{(r-s)(x)=-3x-1}

Second expression:

(r\cdot s)(x)

That is, we get the product of s(x) and r(x):

(r\cdot s)(x)=(2x-1)(5x) \\ \\ By \ distributive \ property: \\ \\ (r\cdot s)(x)=(2x)(5x)-(1)(5x) \\ \\ \boxed{(r\cdot s)(x)=10x^2-5x}

Third expression:

Here we need to evaluate:

(r+s)(-2)

First of all, we find the sum of functions r(x) and s(x):

(r+s)(x)=2x-1+5x \\ \\ Combine \ like \ terms: \\ \\ (r+s)(x)=(2x+5x)-1 \\ \\ (r+s)(x)=7x-1

Finally, substituting x = -2:

(r+s)(-2)=7(-2)-1 \\ \\ (r+s)(-2)=-14-1 \\ \\ \boxed{(r+s)(-2)=-15}

<h2>Learn more: </h2>

Parabola: brainly.com/question/12178203

#LearnWithBrainly

5 0
3 years ago
The expression 12×yz-45 is a
AleksAgata [21]

Answer:

xyz(x + z)

Step-by-step explanation:

sorry if im incorrect

7 0
3 years ago
What is the solution to the system of equations?
Tatiana [17]
If you would like to know the solution to the system of equations, you can do this using the following steps:

y = –5x + 3
<span>y = 1
</span>_______________
1 =<span> –5x + 3</span> 
5x = 3 - 1
5x = 2    /5
x = 2/5 = 0.4

(x, y) = (0.4, 1)

The correct result would be (0.4, 1<span>).</span>
3 0
3 years ago
Read 2 more answers
9 children win $20 each. Then the same 9 children win $10 each. How much combined money did each child win
solniwko [45]

Answer:

370$

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
7. The $5 gift cards are given away first. In
Trava [24]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
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