I guess when you say you want a cartesian equation of the curve, you would have to express them in cartesian coordinates of x and y. Thus, you must get rid of the variable t. The solution is as follows:
x = t⁴
y = ln(t)
e^y = e^(lnt)
e^y = t
Substuting this to the first equation,
x = (e^y)⁴
<em>x = e^4y</em>
Answer:
8x + 9
Step-by-step explanation:
The total number of people splitting the cost equally = Rocco and five friends = 6 people
The total cost to play paintball can be represented by the expression (48x+54)
The cost for each person is calculated as: The total cost to play paintball/ Total number of people
= (48x+54)/6
= 48x/6 + 54/6
= 8x + 9
Therefore, the cost for each person is
8x + 9
Let f(x) = x² + 6x²-x+ 5 then ,
number to be added be P
then,
f(x) = x² + 6x²-x+ 5 +P
According to the qn,
(x+3) is exactly divisible by zero then,
R=0
comparing .. we get a= -3
now by remainder theorm
R=f(a)
0=f(-3)
0=(-3)² + 6(-3)²-(-3)+ 5 + P
0= 9 + 54 + 3 + 5 + P
-71=P
therefore, -71 should be added.
Hope you understand
Let x is Casey's sister age.
<span>3 years ago:
</span><span>Casey was twice as old as his sister: 2a - 3
Now:
</span><span>he is 5 years older than his sister: a + 5
2a - 3 = a + 5
subtract a to both sides
2a - 3 -a = a + 5 - a
simplify
a - 3 = 5
add 3 to both sides
a - 3 + 3 = 5 + 3
simplify
a = 8
His sister age is 8 years old now.
</span>Now:
he is 5 years older than his sister: a + 5 = 8 + 5 = 13
<span>
proof:
so 3 years ago,
his sister age: 8 - 3 = 5
Casey age 3 years ago:
13 - 3 = 10 (</span>C<span>asey was twice as old as his sister 3 years ago</span>)
<span>
Answer:
Casey is 13 years old now.
</span>
Goal: $150
3/4 of 40 : 30
30x3.75= $112.05
She still needs : $37 or $37.05
