Answer:
Two times at (-1,0) and (2.5,0)
Step-by-step explanation:
When the graph intersects or touches x-axis, y is equal to 0
so y = -2x^2 + 3x + 5
=> 0 = -2x^2 + 3x + 5
The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a
so a = -2
b = 3
c = 5
substitute in the formula
x = [-3 +/- √(3^2 - 4x-2x5)]/2(-2)
x = [-3 +/- √(9 + 40)]/(-4)
x = [-3 +/- 7]/(-4)
x1 = (-3 + 7)/(-4) = 4/-4 = -1
x2 = (-3 - 7)/(-4) = -10/-4 = 5/2 = 2.5
so the graph has two x-intercepts (-1,0) and (2.5,0), therefore it intersects x-axis two times
Answer:
−1/3y+−4/3
Step-by-step explanation:
We need to solve for x.
How? Easy! :D
Step one: Flip the equation. (In class we call it the 'flip-flop'.) When you do this, you should have your equation look like this:
−3x−4=y
Step two: Add 4 to both sides of the equation. When you do this step, your problem should look like this:
−3x−4+4=y+4
−3x=y+4
Step three: Divide both sides by -3.
-3x/-3 = y+4/-3.
Step four: Wrap-up. What the answer is.
x = -1/3y + -4/3
Final step: OUR ANSWER!
x = -1/3 + -4/3
Hope this helped! :D
Answer: $70 per year.
Step-by-step explanation:
Let's say that x is the number of years that has passed and y is how much the stamp is worth.
So we know that in zero years the stamp was worth $420 because that is the time Sheri gave her brother Sam the stamp. That could bring up the coordinates (0,420) .
Now we know that in 8 years it was worth $980 and that could be the coordinates (8,980)
To find the rate of change we need to find the different between the y value and divide it by the difference in the x values.
420 - 980 = -560
0-8 = -8
-560/-8 = 70
The rate of change is 70 which means that it grew by $70 every year.
186.99999992 and that is the correct anwser i think
Answer: 
***If you found my answer helpful, please give me the brainliest. :) ***