Answer:
Step-by-step explanation:
4x - 5(x + 3) Remove the brackets. Watch the - sign and -5*3
4x - 5x - 15 Combine the xs
-x - 15
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
The speed of the plane will be equal to 240 Mph.
<h3>What is speed?</h3>
Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Given that:-
- Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles.
- The speed of the plane was 170 mph faster than the speed of the car.
The speed of the plane will be calculated as:-
Let the speed of the car will be x mph so the speed of the plane will be
(x + 170)
Now time for the plane:-
Tp = Dp / Sp
Tp = 1200 / (x+170)
Now time for the car:-
Tc = Dc / Sc
Tc = 350 / x
It is given that time taken by both the plane and the car are equal:-
Tp = Tc
1200 / x+170 = 350 / x
1200x = 350x + 59500
850x = 59500
x = 59500 / 850
x = 70mph
The speed of the plane will be calculated By:-
Sp = x + 170 = 70 + 170 = 240 Mph
Therefore the speed of the plane will be equal to 240 Mph.
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