The first one is 12.5%
the second one is .18
Answer:
a. $5.5 b. $19.5
Step-by-step explanation:
t(x)=3.5x+2
x = amount of games
a. t(1)=3.5(1)+2
t(1)=3.5+2
t(1)=5.5
b. t(5)=3.5(5)+2
t(5)=17.5+2
t(5)=19.5
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = x² - 6x + 3
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 3
= (x - 3)² - 6 ← in vertex form
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
Here a = 1 > 0, thus
(3, - 6 ) is a minimum
Let the numbers be a and b, then ab=0.2 and a/b=0.8, so a=0.8b. Therefore, 0.8b^2=0.2 and b^2=0.2/0.8=2/8=1/4 and b=+1/2 or +0.5 and a=+0.8*0.5=+<span>0.4. The two numbers are therefore 0.5 and 0.4 or -0.5 and -0.4. The quotient is 0.4/0.5</span>
