Answer:
x-int (2, 0)
y-int (0, 3)
General Formulas and Concepts:
- The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
- The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis.
Step-by-step explanation:
<u>Step 1: Locate x-intercept</u>
x-int (2, 0)
<u>Step 2: Locate y-intercept</u>
y-int (0, 3)
Answer:
a + b = 5
Step-by-step explanation:
To solve this system of equations, we can use a strategy called elimination, which is when we get rid of a variable by adding/subtracting two equations.
Firstly, we want to make sure the absolute value of the coefficients that equal.
Lets eliminate b:
4a + 6b = 24
Multiply both sides by 2:
8a + 12b = 48
We also have:
6a - 12b = -6.
Now lets add that with
8a + 12b = 48
-> 6a + 8a + 12b - 12b = 48 -6
-> 14a = 42
-> a = 3
Now that we know a, lets plug it into one of our original equations:
4(3) + 6b = 24
12 + 6b = 24
6b = 12
b = 2
Finally, add the two values we found:
a+b = 2+3= 5
1
When the input is 0 (horizontal axis), the output is 1 (vertical axis).
1. First I turned the fractions into decimals, just to make things easier for me.2. That gave me => (.25x)+(.75)+(.375)=(3.25)
3. Then, I combined like terms and move my equation around; so, that gave me (.25x) = (3.25) - (.75) - (.375) and when I solve the right side of the equation it gives me
(.25x) = (2.125)
4. After combining like terms and simplifying (the way I did in step 3), I will divide both sides by .25, to get the value of X alone; so, my equation then looks like => x=8.5
