Let x = Edna's age
then it follows that (x + 1) is Ellie's age and (x + 2) is Elsa's age
We can now write and equation for the sum of their ages equal to 108:
x + (x + 1) + (x +2) = 108 simplify the left side
3x + 3 = 108 subtract 3 from both sides
3x = 105 divide both sides by 3
x = 35
Edna is 35, Ellie is 36, and Elsa is 37
Answer:
3)B y intercept is -5 which is what the -5 in the equation stands for, the slope is -2 which means 2 up one left (left since slope is negative)
4)C y intercept of -2, slope is 3/4 rise over run which means we go up 3 and right 4 (right sense slope is positive)
5)A y intercept of 1, slope of 7 which means up 7 over 1
I believe the answer would be 25.83333 or 25.8 if it needed to be simplified
You are told that y=-5, so just use that value for y in the second equation...
5x+4(-5)=-20
5x-20=-20
5x=0
x=0 so the solution, when the lines intersect, is the point (0,-5)
Answer:
511
Step-by-step explanation:
a-b = 7 ____eq 1
ab = 8 ____eq 2
a = 7 + b ___eq 3
a = 8/b ___eq 4
using simultaneous equations :
7 + b = 8/b
7b + b^2=8
b^2 + 7b - 8 =0
factorize it
b^2 + 8b - b - 8 = 0
b(b+8) -1(b+8)=0
b = 1 , -8
then a = 8/1 = 8
a =8/-8 = -1
a = 8, -1
so,
a^3 - b^3
= (8)^3-(1)^3
= 511
