Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2
Answer:
52 feet apart
Step-by-step explanation:
20 + 32 = 52
Answer: The bottom one is the answer
Step-by-step explanation:
The one on the right wouldn't be correct because histograms are supposed to always be connected from the beginning of it.
The one on the left is ignoring the fact that 40-59 and 60-79 are two different periods of minutes.
So the only correct on would be the bottom one.
Answer:
B) (3,1)
Step-by-step explanation:
y = -2x + 7
y = 3x - 8
3x - 8 = -2x + 7
combine like terms:
5x = 15
divide both sides of the equation by 5:
x = 3
y = 3(3) - 8 = 1
Answer:
You can buy 7 waffle cones.
Step-by-step explanation:
Let sundae = x
Let waffle cones = y
4.25x + 3.75y ≤ 50
4.25 (5) + 3.75y ≤ 50
21.25 + 3.75y ≤ 50
3.75y ≤ 28.75
y ≤ 7.666666666
* round to the nearest whole to get 7
