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Tanzania [10]
2 years ago
6

Y=5/3x + 3 in ordered pairs

Mathematics
2 answers:
Murljashka [212]2 years ago
8 0
These are three possible solutions to the equation. (
0
,
−
3
)
,
(
1
,
−
4
3
)
,
(
2
,
1
3
)

Svetach [21]2 years ago
8 0

Answer:

(3,8) ; (-3,-2) ; (6,13)

Step-by-step explanation:

A linear equation in <u>Slope</u><u> Intercept</u><u> Form</u> is given to us and we need to write the ordered pairs for x and y . The given equation is ,

\rm\implies y =\dfrac{5}{3}x + 3

For finding the ordered pairs , substitute different values of x to get different values of y.

<u>Put</u><u> </u><u>x </u><u>=</u><u> </u><u>3 </u><u>:</u><u>-</u><u> </u>

\rm\implies y =\dfrac{5}{3}\times 3 + 3

\rm\implies y = 5+ 3

\rm\implies y =8

<u>Put </u><u>x </u><u>=</u><u> </u><u>-</u><u>3</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies y =\dfrac{5}{3}\times -3 + 3

\rm\implies y = -5+ 3

\rm\implies y =-2

<u>Put </u><u>x </u><u>=</u><u>6</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies y =\dfrac{5}{3}\times 6 + 3

\rm\implies y = 10+ 3

\rm\implies y =13

<u>Therefore</u><u> </u><u>,</u>

\small\implies\boxed{\rm\blue{ Odered \ Pairs \ = (3,8) ; (-3,-2) ; (6,13) }}

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Select the statements that are true based on the following given information. D = {x | x is a whole number} E = {x | x is a perf
likoan [24]
<h3>2 Answers: Choice C and Choice D</h3>

==========================================================

Explanation:

Let's write the roster notation of each set

D = {0, 1, 2, 3, ...} the dots indicate the pattern goes on forever

E = {0, 1, 4, 9, 16, 25} = list of perfect squares smaller than 36

F = {20, 22, 24, 26, 28, 30} = even numbers between 20 and 30

----------------

If we intersect sets D and E, we're looking for what numbers are in both sets at the same time. Therefore, D ∩ E = {0, 1, 4, 9, 16, 25} which is the exact same as set E. This is because all of set E is inside of set D. We say that set E is a subset of set D. So, D ∩ E = E.

Choice A is very close to being true. The problem is that 25 is missing from the set {1,4,9,16}. So this is why choice A is false.

----------------

Now let's intersect sets D and F. The numbers they have in common are {20, 22, 24, 26, 28, 30} which is exactly what set F is. So set F is a subset of set D. We can write D ∩ F = F in much the same way we can say D ∩ E = E.

D ∩ F = {12,14,16,18} is not true. A number like 12 is not between 20 and 30, so it cannot be in set F.

Choice B is false so we cross it off the list.

----------------

Choice C is true and here's why

D ∪ (E ∩ F) is the same as saying D ∪ G where G is the set of intersecting E and F together. In other words, G = E ∩ F

We don't really need to even worry about sets E, F or G. All that matters here is set D.

When we write D ∪ (E ∩ F) or D ∪ G, we're saying "a number is in set D, or it is in set G". If it is in D, then it's a whole number. Otherwise, it's in a subset of whole numbers.

Overall, D ∪ G and D ∪ (E ∩ F) form the entire set of whole numbers.

------------------

Choice D is true.

E and F have nothing in common

E = {0, 1, 4, 9, 16, 25}

F = {20, 22, 24, 26, 28, 30}

So intersecting them leads to the empty set. This is the set with nothing inside it, not even 0.

------------------

Choice F is false

These two sets below

E = {0, 1, 4, 9, 16, 25}

F = {20, 22, 24, 26, 28, 30}

union together to get

H = {0,1,4,9,16,20,22,24,25,26,28,30}

just toss all of the numbers together into one big set

Notice how each of these numbers are whole numbers, so they are part of set D. This means set H is also a subset of set D.

When we intersect sets D and H, we end up with set H. We do not simply end up with the set with 25 only inside it.

6 0
3 years ago
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Norma-Jean [14]

Answer:

Step-by-step explanation:

there is no soltion because it is not intersects

5 0
3 years ago
Read 2 more answers
Help me.A towns population went from 25,800 people to 48,200 people in ten years. What is the percent
solong [7]

The percent increase in population is: 87%

Further explanation:

The percent change is given by:

Percent\ increase=\frac{Increase}{Original\ number}*100

Given

Population before 10 years = 25800 people

Population after 10 years= 48200 people

Increase=48200-25800=22400\ people

Putting the values in the formula:

Percent\ Increase=\frac{22400}{25800}*100\\=0.8682*100\\=86.82\%\\Rounding\ off\ to\ nearest\ percent\\87\%

The percent increase in population is: 87%

Keywords: Percentage, Population

Learn more about percentage at:

  • brainly.com/question/12973601
  • brainly.com/question/13063819

#LearnwithBrainly

3 0
3 years ago
Simplify each algebraic expression.
GREYUIT [131]

Answer:

\huge\boxed{\sf-2x+28}\\\\\huge\boxed{\sf 10x-4}\\\\\huge\boxed{\sf 56-5x}\\\\\huge\boxed{\sf x-13}

Step-by-step explanation:

\sf 2x + 4(7-x)  \\\\Resolving \ Parenthesis\\\\2x + 28-4x \\\\Combining\ like\ terms\\\\2x-4x +28\\\\-2x + 28\\\\\rule[225]{225}{2}

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\sf 7(x-1)-6(x+1)\\\\Resolving \ Parethesis\\\\7x-7-6x-6\\\\Combining \ like \ terms\\\\7x-6x-7-6\\\\x - 13\\\\\rule[225]{225}{2}

Hope this helped!

~AnonymousHelper1807

3 0
3 years ago
Juan sells banana bread by weight. He cuts a 1-lb loaf of banana bread into 6 equal slices. He wants to complete the table showi
Westkost [7]

Answer:

0.1\frac{}{6}

Step-by-step explanation:

When Juan cut a 1 lb loaf of banana bread into 6 slices, the weight of each slice forms a repeating decimal. A repeating decimal is a decimal number with repeating digit/s.

i.e \frac{1}{6} = 0.166666666666666...

To express the total weight for each slice, he should write a bar over 6 to show that the number repeats.

i.e \frac{1}{6} = 0.1\frac{}{6}

Note that \frac{}{6} has expressed that the division has 6 as the repeating digit in the decimal number.

4 0
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