Answer:
a=2
Step-by-step explanation:
12a - 5 = 4a + 11
Subtract 4a from each side
12a-4a - 5 = 4a-4a + 11
8a -5 = 11
Add 5 to each side
8a -5+5 = 11+5
8a = 16
8a/8 = 16/8
a =2
Hi. I was unsure of what exactly you wanted from this equation, so here's a quick analysis:
<em>f(x) = 2(x - 3)^2 - 2</em>
<em></em>
Domain: (-∞, ∞)
Range: (-2, ∞)
X-intercepts: (4, 0), (2, 0)
Y-intercept: (0, 16)
Axis of Symmetry: x = 3
Minimum value (vertex): (3, -2)
Standard form: y = 2x^2 - 12x + 16
Answer:
y = 5x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 8)
m = 
= 5
Note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = 5x + 3 ← equation in slope- intercept form
Answer:
9
Step-by-step explanation:
1.)Find the amount of women within the 120 people in the meeting. So 3/10*120 , you get 36.
2.)Add 24 to 120 to get the new amount of people in the room. So 144.
3.)Using the new ratio 11:5 , find the amount of total women out of 144 people . So 5/16*144 , you get 45.
4.)Now minus the 2 amounts of initial women from the amount of total new women , to get the difference to find out how many women are there in the 24 people. So 45-36 , you get 9
