Carry out the mult.: f(x) = -[x^2 - 21x + 9x - 189]
Combine like terms: f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [ ]: f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c: a= -1, b=12, c=189
The equation of the axis of symmetry is x = -b/(2a), which here equals
x = -(12)/[2(-1)], or x = 6
This is also the x-coordinate of the vertex. Plug x=6 into the original equation to calculate the y-coordinate.
The slope of the linear equation is 20 and the y-intercept is 150
<h3>What is a Slope?</h3>
Slope measures how steep a straight line is. It is described as rise over run.
The slope of the linear equation can be found as follows;
He opens the account with $150 and he plans to save $20 each week. Therefore,
let
x = number of weeks
Therefore,
where
y = amount in his account after x number of weeks.
Using the slope intercept equation,
<h3>Slope intercept equation:</h3>
where
m = slope
c = y-intercept
Therefore, the slope of the linear equation is 20 and the y-intercept is 150
learn more on slope here: brainly.com/question/8057577
Area of the square: A s = s².
Area of the circle: A c = ( 1/2 s )² π = 1/4 s² · 3.14 = 0.785 s²
Area inside the square but outside the circle: s² - 0.785 s² = 0.215 s²
The ratio:
0.215 s² : s² = 0.215 : 1 = 215 : 1000 = 43 : 200 .
I think it’s gonna be 6 adults for every 42 students not really sure so sorry if I got it wrong
Let a,b,c,d and e are five numbers
mean = (a +b+ c+ d+e)/5 = 30
⇒ (a +b+ c+ d+e) = 150_______(1)
now, Let the number excluded be a
then, new mean = (b+ c+ d+e)/4 = 28
⇒ (b+ c+ d+e)= 112
putting this value in (1),
⇒a + 112 = 150
⇒a = 150 -112 = 38
excluded number = 38
