Answer:
x=1
Step-by-step explanation:
7x+35=4x+32+6
7x-4x=32+6-35
3x=3
x=3/3
Answer:
125
Step-by-step explanation:
x + y = 5
We need to have x^3 and y^3 in the expression, so cube both sides.
(x + y)^3 = 5^3
Expand the left side.
(x + y)(x + y)^2 = 125
(x + y)(x^2 + 2xy + y^2) = 125
x^3 + 2x^2y + xy^2 + x^2y + 2xy^2 + y^3 = 125
x^3 + 3x^2y + 3xy^2 + y^3 = 125
Now we need to separate x^3 + y^3.
x^3 + y^3 + 3x^2y + 3xy^2 = 125
We need to turn 3x^2y + 3xy^2 into 15xy.
Factor the GCF, 3xy, out of 3x^2y + 3xy^2.
x^3 + y^3 + 3xy(x + y) = 125
We know that x + y = 5, so substitute x + y with 5.
x^3 + y^3 + 3xy(5) = 125
x^3 + y^3 + 15xy = 125
Answer: 125
Answer: 149,150,151
Step-by-step explanation:
1.st solution
Let the smallest number is x.
So next consecutive number is x+1
So the third consecutive number is x+2
So the sum of these three numbers is:
x+x+1+x+2=450
3x+3=450
3x=447
x=149 - first number
Second number is 149+1=150
Third number is 150+1=151
2-nd solution
The sum of 3 numbers in row is 450. It means that average number is 450:3=150 - is the number which is in the middle
So the first one number is 150-1=149 and the third number is 150+1=151
Answer:
g=7.5
Step-by-step explanation:
1.06g-7=0.95
+7 +7
1.06g=7.95
divide both sides by 1.06
g=7.5
I am not sure if it is A or B but it is definitely one of those because they have different y-intercepts. You have a 50/50 chance if you want to guess or you can graph it out and get an exact answer. Hope this helps!