The first thing to do with these problems is to convert them into y=mx+b form; this will literally show you the answer to slope and y intercept since m=slope and b=y intercept.
To convert, isolate the y and the rest should fall into place. Subtract 2x from 4y and the other side of the equation to get the equation 4y= -2x+9 (put the x first because of mx+b). Then Divide the 4 from y and do the same to the other side to get y= -1/2x+9/4. M= -1/2 so that is the slope. B=9/4 so that is the y intercept
X^2-10x+16= 0
(x-8)(x-2)=0
x = 8 or 2
Well, we can find the answer by multiplying the two fractions. 3/4*1/8 equals 3/32.
Answer:
Step-by-step explanation:
Simplifying
-3a + 8 = 2z + -12
Reorder the terms:
8 + -3a = 2z + -12
Reorder the terms:
8 + -3a = -12 + 2z
Solving
8 + -3a = -12 + 2z
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -3a = -12 + -8 + 2z
Combine like terms: 8 + -8 = 0
0 + -3a = -12 + -8 + 2z
-3a = -12 + -8 + 2z
Combine like terms: -12 + -8 = -20
-3a = -20 + 2z
Divide each side by '-3'.
a = 6.666666667 + -0.6666666667z
Simplifying
a = 6.666666667 + -0.6666666667z
Tigers:-
f(t) = 7(1 + 0.1)^2 where t = number of years
Eagle
g(t) = 15 + 2t
B after ten year number tigers = f(t) = 7(1 + 0.1)^10 = 18
number of eagles = 15 + 10(2) = 35
C when the number of tigers = number eagles the 2 functions will be equal;-
f(t) = g(t) that is:-
7* 1.1^t = 15 + 2t
solve for t
