Answer:
Step-by-step explanation:
A relation is a function if there are no shared x values. If you look at the y-axis where x = 0, you can see that there are 2 coordinates that share that x value:
(0, -1) and (0, 3). Because the x value in both those coordinates is the exact same number, this is NOT a function, merely a relation. ALL functions are relations, but not all relations are functions.
The domain asks for all the included x values. It goes from the lowest x value to the highest x value. Our lowest x value is -4 and the function stops at an x value of 4. So the domain is
D = {x | -4 ≤ x ≤ 4}
The range goes from the lowest y value to the highest y value. Our lowest y value is -2 and the highest y value is 4. So the range is
R = { y | -2 ≤ y ≤ 4}
That straight line that comes after the first x and y is the line that translates to "such that". In words, our domain reads "x such that x is greater than or equal to -4 and less than or equal to 4" and the range reads "y such that y is greater than or equal to -2 and less than or equal to 4".
Answer: The shirt's price after reduction = $ 84.15
Step-by-step explanation:
Given: Price of shirt= $ 85
Marked up percent = 10%
Reduced percent = 10%
Price after mark up = (Price of shirt) + 10% of (Price of shirt)
= $ (85+10% x 85)
= $ (85+(0.1) x (85))
= $ (85+8.5)
= $ 93.5
Price after 10% reduction = (Price after mark up)- 10% of (Price after mark up)
= $ (93.5-0.1 x 93.5)
= $ (93.5-9.35)
= $ 84.15
Hence, the shirt's price after reduction = $ 84.15
D.) Quadrant I
Both values are positive, which means it must be quadrant 1
Answer:
Vince began practicing piano at 11:15 P.M
He stopped at 11:35 P.M
=> He practiced in 35 - 15 = 20 mins = 1/3 hour.
=> 1/3 hour means 1/3 circle, the number of degrees the minute hand turned:
N = (1/3) x 360 = 120 deg (1 circle = 360 deg)
Hope this helps!
:)
Answer:
0.8041
Step-by-step explanation:
We know that
μ=72 and σ=5
and P(65<X<78)
We can determine the Z value as (X-μ)/σ
P( 65<X<78 )=P( 65-72< X-μ<78-72)
To fine the Z values:
From the standard normal tables:
to find P ( Z<-1.4)
From the standard normal tables:
Therefore
