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Arturiano [62]
2 years ago
5

How many solutions would the following system of equations have? y=3x+2, and y=3x-4 is it 0, 1 or infinite ?

Mathematics
1 answer:
Tanzania [10]2 years ago
5 0
There are no solutions

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The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w
raketka [301]

Answer:

61

Step-by-step explanation:

Let's find the points A and B.

We know that the y-coordinates of both are 3.

So let's first solve:

3=4x^2+x-1

Subtract 3 on both sides:

0=4x^2+x-1-3

Simplify:

0=4x^2+x-4

I'm going to use the quadratic formula, x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}, to solve.

We must first compare to the quadratic equation, ax^2+bx+c=0.

a=4

b=1

c=-4

\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}

\frac{-1 \pm \sqrt{1+64}}{8}

\frac{-1 \pm \sqrt{65}}{8}

Since the distance between the points A and B is horizontal. We know this because they share the same y-coordinate.This means we just need to find the positive difference between the x-values we found for the points of A and B.

So that is, the distance between A and B is:

\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}

\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}

\frac{2\sqrt{65}}{8}

\frac{\sqrt{65}}{4}

If we compare this to \frac{\sqrt{m}}{n}, we should see that:

m=65 \text{ and } n=4.

So m-n=65-4=61.

5 0
3 years ago
Read 2 more answers
Please help!
Reptile [31]
How many centimeters was it at first then I can help you
4 0
2 years ago
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3) What is 4.01 X 10° written in standard form<br> A. 0.401<br> B. 4.001<br> C. 4.01<br> D. 40.1
Leya [2.2K]
The Answer is-
D
Explanation-
The Place Of the 0 In 10 Is 1, So we move 1 digit
To that side.
7 0
2 years ago
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What is the period of the parent cosine function, y = cos(x)? degrees What is the period of the cosine function shown in the gra
V125BC [204]

Answer:

1080°

Step-by-step explanation:

hope this helped <3

8 0
2 years ago
You earn $9.20 per hour at your summer job. Identify an inequality that represents the number p of hours you need to work in ord
Korvikt [17]

Answer:

$32.5

Step-by-step explanation:

I hope this helps.

7 0
3 years ago
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