Answer:
y=2x^2 + 2x - 3 x -2 -1 0 1 2
Step By Step Explanation:
The values can be find by plugging the x values in the equation which gives us the y value ,
x -2 -1 0 1 2
y 1 -3 -3 1 9
(b) Plot the points on the graph and join by a smooth curve.
(c) The line y=1 will be passing through 1 and parallel to x-axis.
(d) solve 2x^2 + 2x - 3 = 1
Subtract 1 from both the sides ,
2x^2 + 2x - 2 = 0
Factoring out the 2 from the equation ,
2(x^2 + x - 1) = 0
x^2 + x - 1 = 0
Apply the quadratic formula
x=(-1-sqrt(5))/2 and x = (-1+sqrt(5))/5
Answer:
Step-by-step explanation:
In order to find the values of a piecewise function, we first have to determine which piece we are using.
For 
, x=-3. This means that we need to use 
as 
For 
, x=2. This means that we need to use 
as x is equal to 2.
Let after t hours the distances D1<span> traveled by car A</span>
=> D1<span> = 30 t</span>
Car B starts at 10 am and will, therefore, have spent one hour less than car A when it passes it.
After (t - 1) hours, distance D2<span> traveled by car B </span>
=> D2<span> = 40 (t - 1)</span>
When car B passes car A, they are at the same distance from the starting point and therefore<span> D1 = D2 </span>
=> 30 t = 40 (t - 1)
Solve the equation for t,
=> 30 t = 40t - 40
=> 10 t = 40
=> t = 4
=><span> Car B passes car A at = 9 + 4 = 13 pm.</span>
Answer:
a) 
in
b) 28 in
c) 784 in²
Step-by-step explanation:
Let the length be 'L'
and the radius be 'r'
Thus, according to the question
L + 2πr = 84 in
L = 84 - 2πr ............(1)
Volume of the cylinder, V = πr²L
substituting the value of L from 1, we get
V = πr²(84 - 2πr)
or
V = 84πr² - 2π²r³
for points of maxima, differentiating the above equation and equating it to zero
or
2(84)πr - 3(2)π²r² = 0
or
2πr(84 - 3πr) = 0
or
r = 0 and 84 - 3πr = 0
or
⇒ 3πr = 84
or
⇒ r = in
since, the radius cannot be zero therefore, r = 0 is neglected
Therefore,
a) The radius of the largest cylindrical package = in
b) from (2)
L = 84 - 2πr
or
⇒ L = 
or
⇒ L = 84 - 56 = 28 in
The length of the largest cylindrical package = 28 in
c ) The volume of the largest cylindrical package ,V = πr²L
= 
= 784 in²
Answer:
7=-4x+7
Step-by-step explanation:
the formula of slope intercept form is y=Mx+b and M=slope and b=y value of x intercept
so y=-4x+7
