Answer:
The function has a domain of all real numbers.
The function has a range of {y|–∞ < y <∞ }.
The function is a reflection of y=∛x
Step-by-step explanation:
Given:
f(x)=-∛x
domain is set of all values that x can take for which the function is defined, so
for above function domain= set of all real numbers
range is set of values that corresponds to the set of values of domain, so for given f(x) range={y|–∞ < y <∞ } set of real numbers
Now f(x)=-∛x hence its reflection will be
-f(x)=-(-∛x)
y=∛x !
Answer:
(4, 5)
Step-by-step explanation:
y = 2x - 3
y = 7 - 0.5x
y is already isolated on both equations, set them equal to each other:
2x - 3 = 7 - 0.5x
add 3 to both sides:
2x = 10 - 0.5x
add 0.5x to both sides:
2.5x = 10
divide by 2.5:
x = 4
plug in 4 for x on either equation and solve for y:
y = 2(4) - 3
y = 8 - 3
y = 5
(4, 5)
Time is 16.75 seconds when the arrow reaches 200 ft
Step-by-step explanation:
- Step 1: Find time at height of 200 ft
Height = 200 ft
v = 280 ft/s
Projectile formula, h = -16t² + vt
⇒ 200 = -16t² + 280t
⇒ 16t² - 280t + 200 = 0
⇒ 2t² - 35t + 25 = 0 (dividing by common factor 8)
Using quadratic formula to find t
t = (35 ±√35² - 4×2×25)/2×2
t = (35 ±√1225 - 200)4 = 35 ± 32.02/4
∴ t = 67/4 or 3/4
t = 16.75 seconds
Multiply the parentheses then collect like terms
(x+4y+z) (x-7y)
x^2-7xy+4xy-28y^2+xz-7yz
x^2-3xy-28y^2+xz-7yz
