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anygoal [31]
3 years ago
12

The graph shows the system y=2x+1 y=2x^2+1 Which ordered pairs are solutions of the system?

Mathematics
1 answer:
zhenek [66]3 years ago
3 0
Hey!


To solve this problem, we would really have to graph both equations.

<em>OPEN THE FIRST IMAGE</em>

The first image I provided was the image of this equation graphed: <span>y=2x+1

<em>OPEN THE SECOND IMAGE</em>

The second image I provided was the image of this equation graphed: </span><span>y=2x^2+1


<em>PLEASE DO NOT LOOK AT THE THIRD IMAGE YET!</em>


The first image has two points. One at ( -0.5, 0 ) and the other at ( 0, 1 ).

The second image has only one point, which is at ( 0, 1 ).

<em>OPEN THE THIRD IMAGE</em>

Now, when both are combined we see that they intersect at two points, which are ( 0, 1 ) and ( 1, 3 ).

So, our answer is...

<em>The ordered pairs that are the solution to the system are</em>  </span><span>( 0,1 ) and ( 1,3 ).

Hope this helped!


- Lindsey Frazier ♥</span>

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(02.05 MC) A dance school has 63 ballet dancers. If 42% of the total number of dancers in the school are ballet dancers, what is
Elena L [17]

Alright, lets get started.

Suppose total number of dancers in school = x

We have given in question, 42 % of total dancers are ballet dancers.

So, we could find number of ballet dancers by finding 42 % of total dancers.

Number of ballet dancers = x * 42 %

Number of ballet dancers = x * 42/100 = 0.42 x

As per given in question, there are 63 ballet dancers in school.

Which means 0.42 x = 63

Dividing 0.42 from both sides

0.42 x / 0.42 = 63 / 0.42

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Hence number of total dancers in school = 150 : Answer

Hope it will help :)

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3 years ago
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Answer:

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The ratio of pineapple juice to sparkling water that Sylvia and her
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Answer:

Step-by-step explanation:

Pineapple:Sparkling water

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A: It's proportional as for every 3 pineapple juice require 2 water no matter how big or small, the ratio stays the same.

B: 3 times as much punch, basically multiply by 3

3(3):2(3)

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A quadratic function is described by the equation f(x) = (x - 3) ^ 2 Which statement about the graph of the function is true?
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Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

Step-by-step explanation:

Remember, a quadratic function which has roots x = a, and x = b, can be written as:

p(x) = A*(x - a)*(x - b)

Where A is the leading coefficient. This is the factorized form of a quadratic.

We have the function:

f(x) = (x - 3)^2

Now, we could rewrite this as:

f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)

Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)

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