If the price for the adult ticket is $2.75 more than the child ticket, the adult ticket would be x + $2.75
Answer:
7. D:61
8. A:57
9. A: 47
Step-by-step explanation:
Quesiton 7:
To find perimeter we add all the sides together.
x+2x+2x+5=145
Combine all the x's.
5x+5=145
To isolate the constants, subtract 5 from both sides.
5x=140
Now divide both sides by 5 to isolate the x.
x=28
The questions asks for the length of AC, so to find that we need to insert our new x.
AC= 2(28)+5
56+5=61
Hello from MrBillDoesMath!
Answer:
-5, 0 (multiplicity 2), +4
Discussion:
Let f(x) = x^4 + x ^3 - 20 x^2
Factor x^2 from each term:
f(x) = x^2 ( x^2 + x - 20) = x^2 ( x +5) (x-4)
f = 0 when x = 0 (multiplicity 2) and x = -5 or x = 4
Regards,
MrB
Answer:
x=2
Step-by-step explanation:
3 ln(x) + 2 ln (4)= ln(128)
a ln (b) = ln b^a
In(x^3) + In (4^2)= In(128)
In(x^3) + In (16)= In(128)
ln a + ln b = ln (ab)
In(16x^3) = In(128)
raise each side to the power of e
e^ In(16x^3) = e ^In(128)
e^ ln cancels out
(16x^3) = (128)
divide by 16
(16x^3)/16 = (128)/16
x^3 = 8
take the cube root on each side
(x^3)^1/3 = 8^ 1/3
x =2
Y = mx + b
First equation 1 = m(4) + b, bring everything to one side m(4) + b - 1 = 0
Second equation 7 = m(5) + b, bring everything to one side m(5) + b - 7 = 0
Set them equal to each other,
m(4) + b - 1 = m(5) + b - 7
If you bring the b over to the left hand side it becomes
m(4) + b - b - 1 = m(5) - 7
m(4) - 1 = m(5) - 7
Solve for m
6 = m
Plug m = 6 into either equation from the beginning,
m(4) + b - 1 = 0
6(4) + b - 1 = 0
24 + b - 1 = 0
b = -23
Knowing m and b we can now make an equation
y = mx + b
y = 6x -23 Final answer
