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:
6 cups of sugar
Step-by-step explanation:
3/4x2=1.5
1.5x4=6
Answer:
For inch/min =0.9167 inch/min
For min/inch = 1.0908 min/inch
Step-by-step explanation:
The snail in the race traveled 11/6 inches in 2 minutes.
The number of inches per minute is equal to = (11/6)/(2)
= 11/12
=0.9167 inch/min
The number of minutes per inch is equal to = 1/(inch per min)
= 1/0.9167
= 1.0908 min/inch
Minutes per inch is gotten by taking the inverse of inch/min or dividing the number of minutes by number of inches
Answer:
100 is the median for te above observations
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