Answer:
32 cups
Step-by-step explanation:
To find the total number of cups, we have to convert the measures that are not in cups to cups and add
1 quart = 4 cups
4 quarts = 4 x4 = 16 cups
1 pint = 2 cups
6 pints = 2 x 6 = 12 pints
total number of cups = 16 + 12 + 4 = 32 cups
Answer:
11.64
Step-by-step explanation:
100%-> 48
15%-> 7.20
6.25%-> 3
48+7.20+3=58.20
58.20÷5=11.64
Answer:
3/5, 30%, 0.1
Step-by-step explanation:
0.4 + 1/2 + 40% = 0.4 + 0.5 + 0.4 = 1.3
3/4 + 0.25 + 1/2 = 0.75 + 0.25 + 0.5 = 1.5
3/5 + 30% + 0.1 = 0.6 + 0.3 + 0.1 = 1
The last choice is a probability complement because all values add to 1.
ANSWER TO QUESTION 1
.
EXPLANATION
The function given to us is,

According to rational roots theorem,
are possible rational zeros of
.
We find out that,




Also




This implies that
are factors of
and hence
is also a factor.
We perform the long division as shown in the diagram.
Hence,
.
ANSWER TO QUESTION 2
Sketching the graph
We can see from the factorization that the roots
and
have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.
Also the root
has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.
Now we determine the position of the graph on the following intervals,









We can now use these information to sketch the function as shown in diagram