Answer:
a) Absolute increase of 23%.
b) Relative increase of 60.53%.
Step-by-step explanation:
It increased from 38% to 61%.
a. As an absolute difference in terms of percentage points.
The absolute difference is just the subtraction of both percentages.
So 61-38 = 23%.
b. As a relative difference in terms of percent.
The relative is the absolute divided by the initial percent. So 0.23/0.38 = 0.6053 = 60.53%.
Hello from MrBillDoesMath!
Answer:
All equations have two real roots.
Discussion:
The solutions of the quadratic ax^2 + bx + c = 0 are given by the formula:
x = (-b +\- sqrt(b^2-4ac) ) / (2a)
The key element is the discriminant, D, which equals (b^2-4ac)
For 2) a = 3, b = 4, c = -4, D = 4^2 - 4(3)(-4) = 16 + 48 = 64 > 0 so there are two real solutions
For 4) D = b^2 - 4ac = (-1)^2 - 4(6)(-1) = 1 + 24 = 25 >0 so there are two real solutions
For 6), a = -3, b = 12, c= -11, D = 12^2 - 4(-3)(-11) = 144 - 132 = 12 > 0 so
there are two real solutions
Thank you,
MrB
Answer:
The answer is, the center is (7,6) and the radius 3 soo, you would count three from the center to the arc( outer line and then if its three than ur good. proven in khan academy don't worry
Step-by-step explanation:
XD finally no more schoooooolllllllll baaaabbyyyyyy
If f(x) = -2x + 2, f(5) can be found by substituting in the value 5 for x in the equation:
f(5) = - 2(5) + 2
Our first step in simplifying this expression is to perform the multiplication as outlined by the order of operations (PEMDAS).
f(5) = -10 + 2
Finally, we must get our final answer by adding together the remaining terms.
f(5) = -8
Hope this helps!
Answer:
Youth ticket = $21
Adult ticket = $39
Step-by-step explanation:
We'll call adult tix x and child tix y. Based on the information given, we can make these two equations:
7x + 12y = 525
x - y = 18
Start by putting x in terms of y with that second equation
x = y + 18
Then substitute that into the first equation:
7(y+18) + 12y = 525
Then solve for y
7y + 126 + 12y = 525
19y = 399
y = 21
If we want the adult price as well, we know
x - 21 = 18
x = 39
Checking the math:
7(39) + 12(21) = 273 + 252 = $525