9514 1404 393
Answer:
(x, y) → (-∞, -∞), (+∞, +∞)
Step-by-step explanation:
The expression is of odd degree with a positive leading coefficient. It will have a generally upward slope (/). That is, the sign of f(x) will match the sign of x for large-magnitude values of x:
x → -∞, f(x) → -∞
x → ∞, f(x) → ∞
Answer:
11.2 feet
Step-by-step explanation:
The two furthest corners of the bed are at (8, 6) and (5, 10). To determine which is the furthest from the origin, use the distance formula.
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((8 − 0)² + (6 − 0)²)
d = 10
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((5 − 0)² + (10 − 0)²)
d = 5√5
d ≈ 11.2
Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.
Answer is option C
Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.
k is the constant of proportionality
We check with each option and identify which option gives us same K value
(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours
so k = 10
so k = 22.5
K values are not same
(b) 3 mph for 2 hours and 4.5 mph for 3 hours
so k = 6
so k = 13.5
K values are not same
(c) 4 mph for 2.5 hours and 5 mph for 2 hours
so k = 10
so k =10
K values are same .
Answer is option C
$8 per yard of fabric
1 yard is equal to 3 feet
8 divided by 3 = 2.67(rounded)
$2.67 per foot of fabric
1 foot is equal to 12 inches
2.67 divided by 12 =0.22(rounded)
1 inch of fabric cost $0.22
Answer:
-7√5
Step-by-step explanation:
I'll transcribe your verbal question into a symbolic one as best I can:
-2√20 - √125
Note how √20 = √4*√5 and √125 = √25 *√5. Thus,
your -2√20 - √125, after we've factored √5 out of both terms, becomes
-2(2)√5 - 5√5, or -2√5 - 5√5, which combines to form
-7√5 (answer)
