The equation in standard form is 2x^2 + 7x - 15=0. Factoring it gives you (2x-3)(x+5)= 0. That's the first one. The second one requires you to now your formula for the axis of symmetry which is x = -b/2a with a and b coming from your quadratic. Your a is -1 and your b is -2, so your axis of symmetry is
x= -(-2)/2(-1) which is x = 2/-2 which is x = -1. That -1 is the x coordinate of the vertex. You could plug that back into the equation and solve it for y, which is the easier way, or you could complete the square on the quadratic...let's plug in x to find y. -(-1)^2 - 2(-1)-1 = 0. So the vertex is (-1, 0). That's the first choice given. For the last one, since it is a negative quadratic it will be a mountain instead of a cup, meaning it doesn't open upwards, it opens downwards. Those quadratics will ALWAYS have a max value as opposed to a min value which occurs with an upwards opening parabola. This one is also the first choice because of the way the equation is written. There is no side to side movement (the lack of parenthesis tells us that) so the x coordinate for the vertex is 0. The -1 tells us that it has moved down from the origin 1 unit; hence the y coordinate is -1. The vertex is a max at (0, -1)
Answer:
it equals to 1032000
Step-by-step explanation:
because 3000 x 344 = 1032000
The ratio of lillies to roses is 5:3
Answer:
The number of gallons of gas Karl used is 15 gallons.
Option (C) is correct.
Step-by-step explanation:
As given
Karl drove 617.3 miles.
For each gallon of gas, the car can travel 41 miles.
i.e
1 gallons = 41 miles
Now find out for the 617.3 miles.
Thus
Therefore the number of gallons of gas Karl used is 15 gallons.
Option (C) is correct.
Answer:
B
Step-by-step explanation:
I would say B because if only 30 people said water and there is 65 that said something then it would almost be half of what you started with
