Answer:
Step-by-step explanation:
Let us assume that,
x represents the number of sq. yards of fabric and
y represents price of the fabric.
As the unit price of the fabric i.e cost per sq. yard of fabric is $1.25, so for each number of sq. yard of fabric, the cost for that much of fabric will be multiple of 1.25 of that number.
i.e
Here, the rate of change is 1.25. So for each increase in x, the amount of increase in y is 1.25
The table along with the graph have been attached below.
Answer:
1/38
Step-by-step explanation:
Given :
Probability = required outcome / Total possible outcomes
Total possible outcomes = total Numbe rod sections = 38
Required outcome = number of 1's on the entire section = 1
Hence, the probability of spinning a one equals :
P(spinning a 1) = 1 / 38
Find the critical points of f(y):Compute the critical points of -5 y^2
To find all critical points, first compute f'(y):( d)/( dy)(-5 y^2) = -10 y:f'(y) = -10 y
Solving -10 y = 0 yields y = 0:y = 0
f'(y) exists everywhere:-10 y exists everywhere
The only critical point of -5 y^2 is at y = 0:y = 0
The domain of -5 y^2 is R:The endpoints of R are y = -∞ and ∞
Evaluate -5 y^2 at y = -∞, 0 and ∞:The open endpoints of the domain are marked in grayy | f(y)-∞ | -∞0 | 0∞ | -∞
The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:The open endpoints of the domain are marked in grayy | f(y) | extrema type-∞ | -∞ | global min0 | 0 | global max∞ | -∞ | global min
Remove the points y = -∞ and ∞ from the tableThese cannot be global extrema, as the value of f(y) here is never achieved:y | f(y) | extrema type0 | 0 | global max
f(y) = -5 y^2 has one global maximum:Answer: f(y) has a global maximum at y = 0
-5x - 49 > 113
Add 49 to both sides
-5x > 162
Divide both sides by -5
x > -32.4
Hope this helps!
Answer:
Here is the solution. Hope it helps.
