![\large{f(x) = g(x)} \\ \large{ {x}^{2} + 3x = x + 3}](https://tex.z-dn.net/?f=%20%5Clarge%7Bf%28x%29%20%3D%20g%28x%29%7D%20%20%20%5C%5C%20%20%5Clarge%7B%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20%3D%20x%20%2B%203%7D)
Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.
![\large{ {x}^{2} + 3x - x - 3 = 0}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20-%20x%20-%203%20%3D%200%7D)
Combine like terms.
![\large{ {x}^{2} + 2x - 3 = 0}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20-%203%20%3D%200%7D)
Solve the equation by factoring.
![\large{(x + 3)(x - 1) = 0} \\ \large{x = - 3,1}](https://tex.z-dn.net/?f=%20%5Clarge%7B%28x%20%20%2B%203%29%28x%20-%201%29%20%3D%200%7D%20%5C%5C%20%20%5Clarge%7Bx%20%3D%20%20-%203%2C1%7D)
Hence the values of x that make f(x) = g(x) are -3 and 1.
Answer
Let me know if you have any doubts!
Answer:
The required numbers are 26 , 28 and 30
Step-by-step explanation:
Given that the sum of the three even integers is 84.
Answer:
-5
Step-by-step explanation:
y =-2/3-5x
The slope intercept form of a line is
y = mx+b where m is the is the slope and b is the y intercept
Rewriting the equation
y = -5x-2/3
The slope is -5 and the y intercept is -2/3
The basic structure of a linear function is y=mx+b (or +c, depending on your schools curriculum)
We need to find the slope (m), and the y-intercept (b/c)
To find the slope you can pick two random points, say (2,2) and (0,1)
The formula for the slope is this: m= y1-y2 / x1-x2
So if we substitute the points in, we get 2-1 / 2-0 = 1/2
Knowing the slope, it can be substituted into to the equation: y=1/2x + b
Then, if you notice the second point- (0,1), it’s the y-intercept. The y coordinate there is 1.
To check if this is correct, a random coordinate set can be picked and substituted in to find b.
y= 1/2x + b
2 = 1/2 *2 + b
2 = 1 + b
2-1=b
1=b
Therefore, the final linear function is y = 1/2 x + 1
Answer:
I would say C I dont want to mess ure grade but I say C hope I help :)
Step-by-step explanation: