Answer:
48 people
Step-by-step explanation:
To find 20% of 60, you multiply 60 by .2 and get 12. Subtract 12 from 60, and 48 people were not wearing hats.
Answer:
C. (-3,11)
Step-by-step explanation:
Tp is (-3,6) implies the quadratic could have been
f(x) = (x+3)²+6
(2/3)f(x) = (2/3)[(x+3)²+6]
= (2/3)(x+3)²+4
(2/3)f(x)+3 = (2/3)(x+3)²+4+3
= (2/3)(x+3)²+7
Tp at (-3,7)
Alternately,
No change in domain so x remains-3
(2/3)f(x) changes y from 6 to 4 (6×2/3)
+3 increases the y by 3
i.e 4+3 = 7
So, (-3,7)
Answer:
Part 1) The product of 3 and 2y-4x=8 is 
Part 2) The original equation in slope intercept form is 
Part 3) The new equation in slope intercept form is 
Step-by-step explanation:
we have

step 1
Find out the product of 3 and 2y-4x=8
Multiply both sides by 3

Apply distributive property both sides

step 2
Find out the original equation in slope intercept form
The equation of the line in slope intercept form is

we have

Solve for y
That means ----> Isolate the variable y
Adds 4x both sides

Divide by 2 both sides

Simplify

step 3
Find out the new equation in slope intercept form
The equation of the line in slope intercept form is

we have

Solve for y
That means ----> Isolate the variable y
Adds 12x both sides

Divide by 6 both sides

Simplify

Your friend's distance from her starting point to your position is decreasing until she passes by you. This distance is D(t) = 100 ft - (20 ft / sec)t. We'll assume that your friend doesn't actually pass by you; she just gets closer and closer, from her initial 100 ft distance from you. Then:
D(t) = 40 ft = 100 ft - (20 ft / sec)t. Simplifying, we get:
-60 ft = -(20 ft / sec)t, and thus t = 3 sec.