Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
= -6 - 8
= -14
= p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
= 7.5 - 12.5
= -5
= q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
Answer:
Seth watched TV for 6 3/4 hours last week.
Step-by-step explanation:
Let x be the number of hours he watched TV last week.
(2/3)x = 4 1/2 hrs. Solve for x by mult. both sides by (3/2):
(3/2)(2/3)x = (3/2)(9/2)
Then: x = 27/4 hours, or 6 3/4 hours.
Seth watched TV for 6 3/4 hours last week.
In the second equation:
Subtract 8x from both sides.
2z = 22 - 8x
Divide 2 on both sides.
z = 11 - 4x
Plug this into the first equation.
-66 - 2(11 - 4x) = -196
-66 - 22 + 8x = -196
Combine like terms.
-88 + 8x = -196
Add 88 to both sides.
8x = -108
Divide 8 on both sides.
x = -13.5
Put this into the second equation.
8(-13.5) + 2z = 22
-108 + 2z = 22
Add 108 to both sides.
2z = 130
Divide 2 on both sides.
z = 65
and
x = -13.5
Hope this helps!
<u>→ Chapter : </u><span>
<u>Equation of A Straight Line </u></span>
<u>←</u><em>≡ General equation of a straight line:</em>⇔
<em>≡ Solution:</em>⇔ To know the slope in the equation, we just need to see the variable of x
∴ So, the slope of this equation is
