Answer:
A.
Step-by-step explanation:
A quadratic function may only intercept the y-axis once. This is because the definition of a y-intercept tells us that it is the point where x = 0. If there are multiple points where x = 0, then the expression cannot be a function. As such, a quadratic function can only have one.
Choice B contradicts the previous statement.
Choice C is wrong because the x-intercept is the zero of the function. This is because at a given x-coordinate that touches the x-axis, the y-coordinate will be 'zero'.
Choice D is wrong because the y-intercept is where x = 0.
I hope this helps!
Let x be the time she ran and y be the time she walked
then distance ran = 25x and distance walked = 5y
so 15x + 5y = 42
and x + y = 4
* second equn. by -5:-
-5x - 5y = -20
add this to the first equn:0
10x = 22
x = 2.2
distance she ran = 2.2 * 15 = 33 km
Answer:
2%
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
x^2 - 8x = -16
Add 16 to both sides.
x^2 8x + 16 = 0
This may be the square of a binomial.
x^2 is the square of x
16 is the square of 4 and -4.
Let's check the middle term:
2ab = 2(x)(-4) = -8x
Yes, it is the square of a binomial.
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x - 4 = 0 or x - 4 = 0
x = 4 or x = 4
Answer: x = 4
