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
11/50=1.1/5=0.22
They are indeed equivalent.
Assuming you are referring to simple interest not compound that that it is annual you would gain $100 putting you at $600
Hey there!!
Given equation :
... 2 ( x - ( 3 + 2x ) + 9 ) = 3x - 8
Using the distributive property.
... 2 ( x - 3 - 2x + 9 ) = 3x - 8
... 2 ( -x + 6 ) = 3x - 8
Using the distributive property.
... -2x + 12 = 3x - 8
Subtracting 12 on both sides.
... -2x = 3x - 8 - 12
... -2x = 3x - 20
Subtracting 3x on both sides.
... -2x - 3x = -20
... -5x = -20
Dividing by -5 on both sides.
... x = -20 / -5
... x = 4
<em>Hence, the answer is 4. </em>
Hope my answer helps!
Answer:
56
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
20(32 + ?) = 1760 ( divide both sides by 20 )
32 + ? = 88 ( subtract 32 from both sides )
? = 56
