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Ivan
3 years ago
13

Write a function rule for the table. x ƒ(x) 3 –1 4 0 5 1 6 2

Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0

Answer:

Step-by-step explanation:

When one variable depends on another variable according to a rule it is known as function:

For example if you want an output of 2 and the input value is 4. Then you will subtract 4 from x

We have to find x f(x).

x f(x) =?

f(x) = x-4

Now input value is:  x= 3

x f(x)

3 (x-4)

3 (3-4)

3 -1

Now x= 4

x f(x)

4 (x-4)

4 (4-4)

4 0

Now x=5

x f(x)

5 (x-4)

5 (5-4)

5 1

Now x=6

x f(x)

6 (x-4)

6 (6-4)

6 2 ....

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Please help me solve this!!!!!
gulaghasi [49]

Answer

Burger meal = $8 and Hot dog meal = $6

Step-by-step explanation:

Let's use "x" to represent burger meals and "y" to represent hot dog meals.

Garcia family:

3x + 4y = $48

Baker family:

6x + 2y = $60

We have to first compare both families' and then eliminate one of our common variables, either the "x" or "y".

3x + 4y = $48

6x + 2y = $60

Let's eliminate "x". To do this we can multiply "3x" by "-2" to get "-6x". This will cancel out "6x":

-2 (3x + 4y = $48) ...our new equation would be....

-6x - 8y = -$96

Now to add our two families' equations together...

-6x - 8y = -$96

+

6x + 2y = $60

=

- 6y = -$36

Divide both sides by "-6" to get "y" by itself.

y = $6

We now know the value of "y" <em>or </em>one hot dog meal. Next, we want to solve for "x", our variable for the hamburger meal... We will plug in our y value to help us...

3x + 4(6) = $48

3x + 24 = $48

We want to get our x by itself. First, we can subtract 24 from each side.

3x = $24

Then we will divided both sides by 3 to get x alone.

x = $8

To check our work we can plug in our values for both "x" and "y" to see if they add up to $48 and $60:

3(8) + 4(6) = $48

24 + 24 = $48

and...

6(8) + 2(6) = $60

48 + 12 = $60

8 0
3 years ago
Use the given facts about the functions to find the indicated limit
Alika [10]

Answer:

B. -12

Step-by-step explanation:

The given limit are;

\lim_{x \to -11} f(x)=-3 and \lim_{x \to -11} g(x)=4

We want to find;

\lim_{x \to -11} (fg)(x)=\lim_{x \to -11} f(x)\times \lim_{x \to -11} g(x)

We substitute the given limits to obtain;

\lim_{x \to -11} (fg)(x)=-3\times 4

\lim_{x \to -11} (fg)(x)=-12

3 0
3 years ago
What is the gear ratio of a 10 tooth gear driving a 40 tooth gear?
DerKrebs [107]

Answer:

4

Step-by-step explanation:

40/10=4

7 0
3 years ago
Quadratic inequalities
lina2011 [118]
See picture for rough graph

7 0
3 years ago
Jenny borrowed $500 for five years at 4 percent interest, compounded annually. What is the total amount she will have paid when
joja [24]
P= 500. I = 0.04. t=5. plug those numbers into the formula. So 1.04^5 and multiplying it time 500 and the final answer would be 608.33
8 0
3 years ago
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