Answer:
20 cups
Step-by-step explanation:
divide 9 by .45 and you get 20
g(x) = (x - 3)² - 4
given f(x) is shifted a units horizontally to the right → f(x) → f(x - a)
If f(x) is shifted by a units horizontally left → f(x) → f(x + a)
If f(x) is shifted by b units vertically up → f(x) → f(x) + b
If f(x) is shifted by b units vertically down → f(x) → f(x) - b
The vertex (0, 0) of f(x) has shifted to (3, -4)
that is 3 units horizontally to the right and 4 units vertically down
hence g(x) = (x - 3)² - 4
15 / 330 = 20 / x...15 gal. to 330 miles = 20 gal to x miles
cross multiply because this is a proportion
(15)(x) = (20)(330)
15x = 6600
x = 6600/15
x = 440 <=== 20 gallons will take u 440 miles
a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )b ) f ` ( x ) =
=
( 2 x³ - 16 x ) / √(x^4 - 16 x²)c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
m = - 3 / 34
Answer:
n/2 - 3 = 10 represents this situation
Step-by-step explanation:
Let the number be n. Then:
n/2 - 3 = 10 represents this situation.
