Answer:
Step-by-step explanation:
part one:
133-15= x
x= the amount of friends=118
part two:
118 divided by 29.50.
Easton took 3 friends with him to the concert.
Step-by-step explanation:
Explanation:
Because
(2,6) is in the function, we can plug
6 as y
and
2 as x.
From that we get
6=a(2−1)2+k
6=a+k
Same for the next point:
12=a(3−1)2+k
12=22a+k
12=4a+k
Now we have this system of equations to solve:
a+k=6
4a+k=12
Solving it leads to the conclusion that
a=2,k=4 .
<h3>
Answer: 49</h3>
Work Shown:
Replace x with 3, replace y with -8. Use order of operations PEMDAS to simplify.
x^2 + y^2 + x*y
3^2 + (-8)^2 + 3*(-8)
9 + 64 - 24
73 - 24
49
Considering the scatter plot, the function that best fits the data is given by:
f(x) = 3x².
<h3>What is the function that best fits the data?</h3>
To find the function that best fits the data, we have to look at the scatter plot, which gives a series of points (x,y).
We have that:
- When x increases, y also increases, hence the function is increasing, which removes the option f(x) = -3x.
- The increase looks "faster" than a linear increase, hence a quadratic model should be used, thus removing option f(x) = 3x.
Hence the function that best fits the data is given by:
f(x) = 3x².
More can be learned about scatter plots at brainly.com/question/22968877
#SPJ1
A'(3, 2 ), B'(6, 6 ),C'(6, - 3 )
A translation of 2 units right is equivalent to adding 2 to the x- coordinate with no change to the y- coordinate.
A(1, 2 ) → A'(1 + 2, 2 ) → A'(3, 2 )
B(4, 6 ) → B'( 4 + 2, 6 ) → B'(6, 6 )
C(4, - 3 ) → B'(4 + 2, - 3 ) → B'(6, - 3 )