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Advocard [28]
3 years ago
7

Solve the system of equations: y=2x-3 y=x2-3

Mathematics
1 answer:
Westkost [7]3 years ago
5 0

Answer: x = 0 or x = 2

Step-by-step explanation:

To solve this, we must note that the two equations speaks of a single function of y. So

y = 2x - 3 = x² - 3

So from.here we can equate the two together and solve for x.

x² - 3 = 2x - 3, biw convert to a quadratic expression

x² - 2x - 3 + 3 = 0

x² - 2x = 0

Now factorize

x( x - 2 ) = 0, so solving for x

x = 0 or x = 2. .I believed getting the 2 won't be a problem

When x - 2 = 0

Then x = 2.

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Easy I am just not sure on how to solve it please give answer and how I would solve it
Elina [12.6K]

You want to compare the square root of 55 using "mental math". Start off by choosing two perfect squares that you can think of that are close to 55.

If you don't know perfect squares then start with the number 2 and multiply it by itself. 2 times 2 equals 4, so 4 is a perfect square.

Take the number 3, multiply it by itself, and so on. Do this for all the numbers until you find two perfect squares that are close to 55.

The two perfect squares closest to 55 are the square roots of 49 and 64. Find the square root of these numbers.

√49 = 7

√64 = 8

Calculate how far 55 is from 49 and 64. 55 is 6 digits away from 49 and 9 digits away from 64.

This means the square root of 55 will be closer to the square root of 49; 7. Since we know that it will be closer to 7, you can put the less than sign for your answer.

√55 < 7.7

(The actual square root of 55 is ~7.4, so we were correct in determining the answer without using a calculator!)

6 0
2 years ago
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The quadrilateral shown is a rhombus. What is angle 4?<br> A; 28<br> B; 32<br> C; 58<br> D; 90
Goryan [66]
I believe the answer would be A 32.

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6 0
2 years ago
The center is open for 11 hours each day. Each party takes three hours what is the maximum number of parties the Center can host
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3 years ago
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Setler79 [48]

Step-by-step explanation:

So we have the given equation x + 2y = 13

To solve for y, we must first isolate y, so:

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Or in point-intercept form:

y=\frac{-1}{2}x+ \frac{13}{2}

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3 years ago
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