Explanation: The y axis is the line that goes up and down, vertical. The x axis is the line that goes straight across, horizontal. So, when looking for intercepts we have to see what numbers your graphed line goes through.
Make sure when you are writing your points you write it in (x,y) form. If you don't it will be wrong.
So, for our x intercept it would be -7,0.
This is because your graphed line goes through x at -7 and it has no y, so that would be 0.
For your y intercept, it would be 0,2
This is because our line does not go through x, so we make that 0. It does go through y at 2.
Hope this helps :)
If you need elaboration on anything let me know. I know sometimes with math it is kind of hard to explain through typing.
To solve this, simply switch the X and y variables within one equation, and upon doing so, see and check if it equals to the other equation.
f(X) = -X + 4/5
Y = -X + 4/5
X = (-Y+4)/5
5X = -Y + 4
-Y = 5X - 4
Y = -5x + 4
Yes, by looking at the second equation it is an inverse of the first one.
To find where on the hill the canonball lands
So 0.15x = 2 + 0.12x - 0.002x^2
Taking the LHS expression to the right and rearranging we have -0.002x^2 + 0.12x -
0.15x + 2 = 0.
So we have -0.002x^2 - 0.03x + 2 = 0
I'll multiply through by -1 so we have
0.002x^2 + 0.03x -2 = 0.
This is a quadratic eqn with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25. The second solution y = 0.15 * 25 = 3.75
Answer:
(x - 2)(5x + 3) = 0
Step-by-step explanation:
5x² - 7x - 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 6 = - 30 and sum = - 7
The factors are - 10 and + 3
Use these factors to split the x- term
5x² - 10x + 3x - 6 = 0 ( factor the first/second and third/fourth terms )
5x(x - 2) + 3(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(5x - 3) = 0 ← in factored form
