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ipn [44]
3 years ago
5

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a

point on the graph?
A. Since the function is even, the output of a negative x-value and its opposite is the same.
B. Since the function is even, the output of a negative y-value and its opposite is the same.
C. The graph has rotational symmetry, so the point will be reflected across the y-axis.
D. The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.
Mathematics
2 answers:
Jlenok [28]3 years ago
7 0
Since the function is even the outputs of a negative x-value and positive x-value are the same.
ch4aika [34]3 years ago
5 0

Definition: A function is "even" when f(x) = f(−x) for all x.

Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.

If point (6, 8) is one the points on the graph of f(x), then f(6)=8 and since function is even, you can state that f(-6)=f(6)=8. This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.

Answer: correct choice is A.

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A rideshare service charges a flat fee of $6.00, plus $1.50 for every mile driven. Let t represent the total cost of the ride, a
galina1969 [7]

Answer:

The independent variable is m, while the dependent variable is t.

Step-by-step explanation:

  • What is the independent variable?

An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.

  • What is the dependent variable?

The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.

  • Write an equation representing this relationship:

t = $6 + ($1.50 x m)

  • Complete the table to show the total cost for riding 3 to 10 miles:

3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)

4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)

5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)

6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)

7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)

8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)

9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)

10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)

3 0
1 year ago
Half the difference of a number and 16 is negative 2
Reika [66]

Answer:

20

Step-by-step explanation:

Work backwards. If -2 x 2= -4 then something plus negative four will equal 16, which is 20.

7 0
3 years ago
I really need the answers for these I don't understand this
Yuri [45]
I tryed my best to figure out what all of the numbers were. if i got any wrong then please tell me and i will put the right answer in the comments.

1) 3/5= 5/x   (cross multiply)
     3x=5(5)
     3x=25
       x= 25/3 -or- 8.33

2) 2/4=x/12<span>   (cross multiply</span><span>)
</span> 2(12)=4x
     24=4x
       6=x
3) 10/x=5/9<span>   (cross multiply</span><span>)
   10(9)=5x
       90=5x
       18=x
4) 5/5=x/18</span><span>   (cross multiply</span><span>)
 5(18)=18x
     90=18x
       5=x</span>
8 0
3 years ago
At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total
Vladimir [108]
Agggggggg step by step!
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3 years ago
Please please help me will make u the brainlest answer ever!!!!!!!!!!
katrin2010 [14]
To be a quadratic function the highest power or a variable must be 2, therefor
Final answer:
A. y = x2 - 50
Hope I helped :)
3 0
3 years ago
Read 2 more answers
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