Answer:
21.60
Step-by-step explanation:
First find the tip
18 * 20%
18 *.2
3.60
Then add it to the cost of the haircut
18 + 3.60
21.60
Answer:
The slope of the green line is 3
Step-by-step explanation:
The lines are perpendicular, so the slopes are negative inverses
-1/(-1/3)
3
Answer:
x
=
5 and (
5
,
−
9
)
Explanation:
The equation of a parabola in vertex form is.
2
2
y
=
a
(
x
−
h
)
2
+
k
2
2
Where (
h
,
k
) are the coordinates of the vertex and a is a multiplier
f
(
x
)
=
(
x
−
5
)
2
−
9 is in this form
with (
h
,
k
)
=
(
5
,
−
9
)
⇒
vertex =
(
5
,
−
9
)
the axis of symmetry passes through the vertex is vertical with equation
x
=
5
← axis of symmetry graph{(y-x^2+10x-16)(y-1000x+5000)=0 [-20, 20, -10, 10]}
If there are 3x-2 trees planted in each row, and we have a total of 24x-16 trees, this means that the number of trees multiply the number of rows will give us the answer of 24x-16
let r=number of rows
(3x-2)*r=24x-16
to find r we will divide both side by 3x-2
r=<u>24x-16
</u> 3x-2
<u>
</u>we see that 8 is a common factor for the numerator
r= 8(3x-2)/3x-2=8
we have 8 rows
Answer:
The 27th term is 73.5.
Step-by-step explanation:
We want to find the 27th term of the arithmetic sequence:
15, 17.25, 19.5, 21.75, ...
We can write a direct formula. Recall that the direct formula for an arithmetic sequence is given by:
Where <em>a</em> is the initial term and <em>d</em> is the common difference.
From the sequence, we can see that our initial term <em>a</em> is 15.
To find the common difference, subtract a term and its previous term. Thus, the common difference will be:
Thus, our direct formula is:
To find the 27th term, let <em>n</em> = 27. Substitute and evaluate:
Thus, the 27th term is 73.5.