Set up a system of equations first
W: number of women
M: number of men
50=w+m
3m-2=w
Solve in by plugging in one equation into the other
50=(3m-2)+m
50=4m-2
52=4m
m=13
So if m=13 plug it bag into one of the two equations at the beginning
50=13+w
W=37 women
Answer:
y = -1x + 2
Step-by-step explanation:
y = -1x + b
5 = -1(-3) + b
5 = 3 + b
2 = b
y = -1x + 2
Answer:
y = -0.5(x - 4)^2 + 5.
y = -0.5x^2 + 4x - 3.
Step-by-step explanation:
The vertex is at (4, 5). so we have:
f(x) = a(x - 4)^2 + 5
When x = 0 y = -3 so substituting in the above:
- 3 = a(0-4)^2 + 5
-8 = 16a
a = -0.5.
So the vertex form is y = -0.5(x - 4)^2 + 5.
Standard form:
y = -0.5(x^2 - 8x + 16) + 5
y = -0.5x^2 + 4x - 8 + 5
y = -0.5x^2 + 4x - 3.
Answer:
8x^8/3 y^4 - The first option
Step-by-step explanation:
The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.
This means that the expression is now:
8(x^2*4/3 y^3*4/3)
First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3
The same happens to the y term: 3*4/3 simplifies to 4, so the y term is now y^4.
So now our expression is:
8(x^8/3 y^4)
Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:
8x^8/3 y^4 - The first option.
Hope this helped!
