Answer:
249.6 to nearest 10th
Step-by-step explanation:
10 x 15.8 = 158
5 x 15.8 = 79
0.8 x 15.8 = 15.8 - 1.58 -1.58 = 12.64
158 + 79 + 12.64 = 249.64
= 249.6 to nearest 10th
The vertex will be when the velocity is equal to zero:
df/dx=-12x+24 (using the power rule for differentiation)
df/dx=0 only when:
-12x+24=0 add 12x to both sides
12x=24 divide both sides by 12
x=2, we find the y value to be:
y(2)=-6(2^2)+24*2-20
y(2)=-24+48-20=4
So the vertex is the point (2,4)
And the axis of symmetry is the line x=2
Now if you do not yet do calculus...
The vertex will occur midway between the two zeros.
6x^2-24x+20=0 (using the Quadratic Formula for simplicity)
x=(24±√96)/12
x≈(1.1835, 2.8165)
Now the vertex occurs at the average of the zeros...
x=(1.1835+2.8165)/2=2 (as we saw earlier)
y(2)=4
Vertex is at (2,4) and axis of symmetry is the vertical line x=2
Answer:
180/3 = 60
Step-by-step explanation:
Answer:
D{(0, 0), (-1, -0.5), (-2, -1), (-3, -1.5), (-4, -2)}
Step-by-step explanation:
A function is a relation in which we take every element of the first group and assign an unique element of the second group.
So, the set of ordered pairs that represents y as a function of x is the set that take every value of x and assign an unique value of y.
Then, the set A is not a function because we have the ordered pairs (3,9) and (3,16) in which we have two values of y for the value of x=3.
At the same way, we can said that B and C aren't functions.
Finally, D is the set of ordered pairs that represents y as a function of x because every x has an unique value of y.
P-0.40p = 0.60p
C. Decrease by 40% is the same as multiply by 60%.
Assume that p = 10
10 - 0.40(10) = 0.60(10)
10 - 4 = 6
6 = 6
Based on the above assumption. 40% of 10 is 4 ; and 60% of 10 is 6. So, 10 less 4(40% of 10) is equal to 6 (60% of 10).
Percentage is used because 0.40 and 0.60 will be multiplied with 100% to get the equivalent percentage 0.40 x 100% = 40% ; 0.60 x 100% = 60%