The function is given as

For the equation of mid-line ,
From the function, we have a vertical shift up 1.
So the mid-line is y=1.
Maximum -
The amplitude of the function is 4.
From 1, you can go up 4 values to find the maximum.
Therefore, the maximum is 1+4=5
Minimum-
The amplitude of the function is 4.
From 1, you can go down 4 values to find the minimum.
Therefore, the minimum is 1-4=-3.
Answer:
9-4=5
Step-by-step explanation:
Serena had 7 4/9 yd of tape.
She used 2 1/9 yd.
How much tape does she have left?
7 4/9
- 2 1/9
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Since both fractions have the same denominator, and since the lower fraction is smaller than the upper fraction, you can subtract the fractions by subtracting the numerators and using the same denominator. Then also subtract the whole numbers.
7 4/9
- 2 1/9
--------------
5 3/9
The difference is 5 3/9.
3/9 can be reduced since both 3 and 9 are divisible by 3, so we divide both 3 and 9 by 3 to get 1/3.
Answer: 5 1/3 yards
Answer:
Jennifer has 7 quarters
Step-by-step explanation:
<u><em>The correct question is</em></u>
Jennifer has $ 3.51 in change in her piggy bank. The change consists of 51 coins inducing pennies, nickels and quarters. If there are 3 times as many nickels as pennies, how many quarters does she have?
Remember that

Let
x ----> the number of pennies
y ---> the number of nickels
z ---> the number of quarters
we know that
-----> equation A
----> equation B
---> equation C
substitute equation C in equation A and equation B
-----> equation D

----> equation E
we have
-----> equation D
----> equation E
Solve the system of equations D and E by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (11,7)
x=11,z=7
see the attached figure
Find the value of y

so
The number of pennies is 11
The number of nickels is 33
The number of quarters is 7
Answer:

Step-by-step explanation:
Hello There!
Once again we are going to use trigonometry to solve for x
Here are the <u>Trigonometric Ratios</u>
sin = opposite divided by hypotenuse
cos = adjacent divided by hypotenuse
tan = opposite divided by adjacent
we need to find x and we are given its opposite side length (58) and the adjacent side length (19)
this corresponds with tangent so once again we will be using tangent to solve for x
Looking at tangent we see that its equal to opposite divided by adjacent so we create an equation

now we have

Once again we need to get rid of the tan
to do so we take the inverse of tan ( tan^-1) and apply it to each side

finally we round to the nearest tenth
we're left with x = 71.9