Answer:
f(x)= -|x + 1| + 1
Step-by-step explanation:
This is an absolute value equation, because it's that v-shape that let's us know it will be one. The standard form is
f(x)= a|x - h| + k, where h is the horizontal shift, k is the vertical shift, and a is the dilation factor.
We know that the graph is moved up one, because its vertex is at y = 1. So k = 1.
f(x)= a|x - h| + 1
We also know that it must be negative, because it's upside-down, so <em>put the negative outside the absolute value, not inside.</em>
f(x)= -|x - h| + 1
Lastly, the horizontal shift is left one, so we know that h = -1.
f(x)= -|x - -1| + 1
x minus a negative one equals x plus one, so
<u>f(x)= -|x + 1| + 1 </u>is our final answer.
Answer:
2 1/6 longer
Step-by-step explanation:
3 1/2-1 1/3
7/2 - 4/3
21/6-8/6
13/6 or 2 1/6
so 2 1/6 longer.
Hope this helps :D
r to the 4th power = r⁴
t to the third power = t³
r to the 4th power times t to the third power would be written as:
(r⁴)(t³)
The price of a senior citizen ticket is $8 and the price of a student ticket is$ 10
Step-by-step explanation:
Let the cost of one seniors citizen ticket be x and student be y
First day:
10 seniors citizen tickets and 11 student for a total of $190.
10x + 11y = 190-----------------------------(1)
Second day:
$160 on the second day by selling 5 senior citizen tickets and 12 student tickets.
5x + 12y = 160---------------------------------(2)
Multiply eq(2) by 2
10x + 24y = 320----------------------------(3)
Subtract eq(1) from (3)
10x + 24y = 320
10x + 11y = 190
-----------------------------
0x + 13 y = 130
---------------------------
13y = 130

y = 10-------------------------------(4)
Substituting (4) in (2)
5x + 12(10) = 160
5x + 120 = 160
5x = 160-120
5x = 40

x = 8
The equation of the line is x=4