Explanation:
The expression f(0) represents the value of the function at x=0 which means the y-intercept of the function.
the y-intercept of the graph is the point that crosses the y-axis.
From the given graph,
The y-intercept of the graph does not define.
Answer: f(0) = not defined
Answer:
s = 2j
Step-by-step explanation:
Given - Ada makes sparkling juice by mixing 2 cups of sparkling water
with every 4 cups of apple juice. Let s represent the number of
cups of sparkling water and j represent the number of cups of
apple juice.
To find - Write an equation that shows how s and j are related.
Proof -
Let total number of cups of sparkling water make = s
Total number of cups of apple juice make = j
Now,
Given that, Ada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice.
⇒2s = 4j
⇒s = 2j
∴ we get
Ada can makes sparking water by mixing 2j cups of sparking water with every j cups of apple juice.
Answer:
The volume of cone = Maximum holding of glass = 60 cube cm(cm^3)
Step-by-step explanation:
Cone formula:
The radius is 3cm and Volume is 60cm^3.
if pi =~ 3 So the "h" is 6.66 cm.
"h" is distance from cone's head to its base.
The "H"( height of glass) = 6.66 + 7 = 13.6 =~ 14
Answer:
Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.
Step-by-step explanation:
Given that,
The function that models the production cost is

To find the number of t-shirt, we put f(t)=40 in given function.
∴40= 0.1t²-6t+100
⇒ 0.1t²-6t+100-40=0
⇒0.1 t²- 6t +60=0
⇒t²-60t+600=0
Applying quadratic formula
, a=1, b= - 60 and c=600

= 47.32,12.67
≈47, 12
Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.
For this case we have the following expression:

Since the denominator is equal, then we can add the numerator.
We have then:

Adding similar terms we have:

Rewriting we have:

Doing common factor in the numerator we have:

Factoring the denominator we have:

Canceling similar terms we have:
Answer:
The simplest form of the expression has 7 in the numerator and m+4 in the denominator.