Answer:
what you need help with?
Step-by-step explanation:
The answer is plane because it is a two dimensional figure
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:
$77.4
Step-by-step explanation:
GIVEN: On the trip from KC to Springfield, the church van consumed 
gallons of gas to go 
miles. If gas cost 
per gallon.
TO FIND: Cost of a round trip to Springfield.
SOLUTION:
Distance of springfield from KC 
As it is a round trip total distance 
As gallons gas used for miles distance
gas required for 
mile 
gallons
gas required for 
miles 
gallons
cost of one gallon of gas 
cost of 
gallons of gas 
Hence cost of roundtrip to Springfield is $77.4
L'Shonda purchased a container of juice. 80 calories are from carbohydrates.
<u>Solution:</u>
Given that, LShonda purchased a container of juice that contains 200 calories.
The label says that 40% of the calories are from carbohydrates.
We have to find how many calories are from carbohydrates?
Now, according to the given information,
<em>Number of calories from carbohydrates = 40% of the total calories of the juice
</em>
Then, calories from carbohydrates = 40% of 200 calories
40% can be written in fraction as 
Hence, 80 calories are from carbohydrates.
