Answer:
The slope is 3 and the y intercept is -7/4
Step-by-step explanation:
We need to get the equation in the form
y = mx+b where m is the slope and b is the y intercept
12x - 4y =7
Subtract 12x from each side
12x-12x -4y = -12x +7
-4y = -12x+7
Divide each side by -4
-4y/-4 = -12x/-4 +7/-4
y = 3x + -7/4
The slope is 3 and the y intercept is -7/4
Answer:
x = 4
Step-by-step explanation:
It is given that 
, and we have to solve the given equation for x.
Now, we have
Squaring both sides we get
![[\sqrt{(x - 3)}] ^{2} = [\sqrt{x} + 3]^{2}](https://tex.z-dn.net/?f=%5B%5Csqrt%7B%28x%20-%203%29%7D%5D%20%5E%7B2%7D%20%3D%20%5B%5Csqrt%7Bx%7D%20%2B%203%5D%5E%7B2%7D)
⇒ x - 3 = x + 6√x + 9 {Since we know the formula of (a + b)² = a² + 2ab + b²}
⇒ 6√x = - 12
⇒ √x = -2
Again squaring both sides we get
⇒x = 4 (Answer)
89,659 rounded to the nearest hundred thousand = 100,000
Answer:
x = 5/3
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
y = 3x - 2
y = 3
<u>Step 2: Solve for </u><u><em>x</em></u>
- [Equation] Substitute in <em>y</em>:
3 = 3x - 2 - [Addition Property of Equality] Add 2 on both sides:
5 = 3x - [Division Property of Equality] Divide 3 on both sides:
5/3 = x - Rewrite:
x = 5/3
∴ the value of <em>x</em> when <em>y</em> = 3 is equal to 5/3, or approximately 1.67.
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Learn more about Algebra I: brainly.com/question/27710551
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Topic: Algebra I
