Answer:
Step-by-step explanation:
The slope of the graph at x=0 is related to the value of b. It is also proportional to the value of <em>a</em>, which is the same for all but curve B. The red curve R has the largest slope at x=0, (much larger than 3/4 the slope of curve B), so curve R has the greatest value of <em>b</em>.
Similarly, the smallest value of <em>b</em> will correspond to the curve with the smallest (most negative) slope. That would be curve K. Curve K has the smallest value of <em>b</em>.
Answer:
48
Step-by-step explanation:
Plug in 16 to the function:
f(16)=1/3(4-16)^2
=1/3(-12)^2
=144(1/3)
=48
Answer:
5/6
Step-by-step explanation:
9/18 + 1/3 <Need the same denominator so find the lowest common multiple.
3 6 9 12 15 18 < multiples of 3
if 3 goes into 18 than it will be our LCM
3 goes into 18 6 times so multiply 1 and 3 by 6 and rewrite the equation
9/18 + 6/18 < just add 9 + 6 and place it over 18
15/18 <this number can be simplified so write out their factors and pick the highest one to divide by one they have in common.
1 3 5 15 <Factors of 15
1 2 3 6 9 18 <Factors of 18
3 is the highest one they both have so divide both 15 and 18 by 3
15/3 is 5 and 18/3 is 6
put the 5 and 6 in their proper places and you have 5/6 or .83333333333...
Answer:
g(x) = 4, 6, 9, 13.5 for the x-values given
Step-by-step explanation:
The table and graph are attached.
We know that
[volume of a prism]=L*W*H
L=3 1/2 in-------> (3*2+1)/2--------> 7/2 in
W=3 1/2 in-------> (3*2+1)/2--------> 7/2 in
H=7 in
so
[volume of a prism]=(7/2)*(7/2)*7--------> 85.75 in³
[the difference in volume between the prism and the storage container]=90-85.75------------> 4.25 in³ (4 1/4 in³)
the answer is 4.25 in³ (4 1/4 in³)
