Answer:
C. 5x² - 4
General Formulas and Concepts:
<u>Algebra I</u>
- Composite Functions
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 4x² + 1
g(x) = x² - 5
(f + g)(x) is f(x) + g(x)
<u>Step 2: Find (f + g)(x)</u>
- Substitute: (f + g)(x) = 4x² + 1 + x² - 5
- Combine like terms: (f + g)(x) = 5x² - 4

We have to find out the value of the fraction.
<u>Let us assume that:</u>

<u>We can also write it as:</u>




<u>Comparing </u>the given <u>equation</u> with <u>ax² + bx + c = 0,</u> we get:

<u>By quadratic formula:</u>







<u>But </u><u>"</u><u>x"</u><u> cannot be negative. Therefore:</u>

So, the value of the fraction is 1 + √2.
What we have been given here are two points.
f(3) = -4 is the same as (3, -4)
f(2) = 6 is the same as (2, 6)
We can then use these two points to find the equation of a line.
Step 1: Find the slope
Slope Formula: (y2 - y1) / (x2 - x1)
Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10
Step 2: Find the y-intercept
To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.
Slope-Intercept Form: y = mx + b
Point = (2, 6)
6 = 2(-10) + b
6 = -20 + b
b = 26
Step 3: Create the equation of the line
Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.
y = -10x + 26
Answer: y = -10x + 26
Hope this helps!
Answer:
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Step-by-step explanation:
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Multiply the first equation by -2 to eliminate a variable so it becomes:
-12x+8y=48
4x-8y=-32
Add them together.
-8x=16
x=-2
Plug it in one equation.
6(2)-4y=-24
12-4y=-24
-4y=-12
y=3
Ordered pair is: (-2,3)