<span>The function can be represented as
y = f(x) =px(q -x)
So from the coordinate (6, 0)
y = 0 and x = 6
Substituting into the equation we have
0 = 6p(q - 6)
0 = 6pq -36p
6pq = 36p
q = 36p/ 6p
q = 6</span>
Answer:
8 weeks
Step-by-step explanation:
p = 2w
p = total pieces = 16
then putting value in p = 2w
16 = 2w
divide by 2 on both side we get
16/2 = 2w/2
8 = w
where w is total weeks i.e 8
Answer:
1(a) = 10
1(b) = 9
1(c) = 12
2(a) = 8
2(b) = 10
2(c) = 1
Step-by-step explanation:
1(a) = 22 - 2.6
= 22 - 12 = 10
1(b) = 6 - 1/4 . 16 + 21 / 3
= 6 - 16/4 + 7
= 6 - 4 + 7
= 9
1(c) = (8-5). (5-3)^2
= 3*2^2
= 3*4
= 12
2(a) = 4(x-2)/(x-1) when x = 0
= 4(0-2)/ (0-1)
= 4*-2/-1
= -8 / -1
= 8
2(b) = (-3x^2 + 4) / 4 when x = -2
= (6^2 + 4) / 4
= (36 + 4) / 4
= 40 / 4 = 10
2(c) = [-2x/4 + 4*(x-1)] / x^2 - 1 when x = 2
= (-1 + 4 * 1) / 4 - 1
= 3 / 3
= 1
a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
b) since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equation
In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value
For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:
f(x) = 2x + 1
f(-0.8) = 2(-0.8) + 1
f(-0.8) = -1.6 + 1
f(-0.8) = -0.6
Simiarly;
y = -3(-0.8)- 3
y = 2.4 - 3
y = -0.6
Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
For the point (1/3, 2), substitute x = 1/3 into both functions as shown:
x = (y+2)/2
x = (2+2)/2
x = 4/2
x = 2
Simiarly;
x + 2 = 3
x = 3-2
x = 1
Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equations
Learn more on systems of equation here: brainly.com/question/847634
