Which of the graphs below correctly solve for x in the equation −x2 + 5x + 6 = 3x − 2? Graph of quadratic opening downward and l
inear sloping up to the right. They intersect at point negative 2, negative 8 and point 4, 10. Graph of quadratic opening upward and linear sloping up to the right. They do not intersect at point. Graph of quadratic opening downward and linear sloping down to the left. They intersect at point negative 0.9, 0.7. Graph of quadratic opening downward and linear sloping up to the right. They intersect at point negative 1.3, negative 2.2 and point 3.23, 11.73.
1 answer:
The first one. They intersect at (-2,-8) and at (4,10).
You can find this graphically or algebraically.
Graphically by inputting both equations and using the intersect function.
Or algebraically by setting the equation to 0.
Finding the x intercepts then by factoring.
Then inputting the x values into either original equation to find the y intercepts for each.
You can find this graphically or algebraically.
Graphically by inputting both equations and using the intersect function.
Or algebraically by setting the equation to 0.
Finding the x intercepts then by factoring.
Then inputting the x values into either original equation to find the y intercepts for each.
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Answer:
Zeros of a function: x = 1 and x = -10
Step-by-step explanation:
A zero of a function is the value of x when f(x) = 0. In other words it is the intersect point between x and y=f(x), when y =0.
First we need to make f(x)=0, so we would have: .
If we factorize this quadratic function, we would have:
So we get x = -10 and x = 1.
- x = 1 means that the diver hits the water 1 foot away horizontally from the board.
- x=-10 means the diver hits the water 10 feet behind the diving board.
Hope it helps!