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3 years ago

Find the domain: { (2, 1) , (6, 4) , (7, 7) , (7, 10) }

2 answers:

8 0

The answers is:
D={2,6,7}
You know that it is the domain because it is at the beginning of the parenthesis and is always x.
(x,y) if you were looking for y you would be looking for the second number in the parenthesis and that is know as range.

Usimov [2.4K]3 years ago

5 0

2, 6, and 7 are the domain because they are in the "x" spot

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I need help with #11 and #12 how do I do this?

USPshnik [31]

Answer:

11. x = 6; y = 6.5

12. x = 2; y = 4

Step-by-step explanation:

In each figure, the hash marks on the lines indicate the parallel lines (marked with red arrows) are equally-spaced. That means the two expressions involving x are equal to each other, and the two expressions involving y are equal to each other.

11. 2x +1 = x +7

x = 6 . . . . . . . subtract (x+1) from both sides

and

3y -8 = y +5

2y = 13 . . . . add (8-y) to both sides

y = 6.5 . . . . divide by the coefficient of y

12. x +3 = 3/2x +2

1 = 1/2x . . . . . subtract (x+2)

2 = x . . . . . . . multiply by 2

and

2y -1 = 3y -5

4 = y . . . . . . add (5 -2y)

8 0

3 years ago

Read 2 more answers

Help! Is the binomial a factor of the polynomial function? f(x)=2x^3+15x^2+22x-15.

klasskru [66]

Answer:

yes, no, yes, no, no, yes

Step-by-step explanation:

Check if the zero of each binomial is a zero of the polynomial. If it is, then the binomial is a factor.

f(-3) = 0

f(3) = 240

f(-5) = 0

f(5) = 720

f(-1/2) = -22.5

f(1/2) = 0

3 0

3 years ago

Read 2 more answers

The parent function y = |x| stretched vertically by a factor of 2, shifted left 3 units and down 4 units

OlgaM077 [116]

Hello!

Let's go through some formula to distinguish the changes that happen to a graph's equation when they are transformed.

Vertical shifts have this type of formula:

f(x) + k → up k units and f(x) - k → down k units

Horizontal shifts have this type of formula:

f(x + k) → left k units and f(x - k) → right k units

Reflections have this type of formula:

-f(x) → reflect over x-axis and f(-x) → reflect over y-axis

Vertical stretches have this type of formula:

a · f(x) where a > 1

Vertical compressions have this type of formula:

a · f(x) where a < 1

Horizontal stretches have this type of formula:

f(a · x) where a > 1

Horizontal compressions have this type of formula:

f(a · x) where a < 1

With that in mind, we can write our transformed absolute value function.

Since the equation is vertically stretched by a factor of 2, a = 2.

y = 2|x|

Also, since the function is shifted left 3 units, k = -3.

y = 2|x + 3|

Finally, the function is also shifted down 4 units, so k = -4.

y = 2|x + 3| - 4

Therefore, the equation is y = 2|x + 3| - 4.

8 0

3 years ago

Jay went to an amusement park. the park charges an entrance fee of $10.50 and $4.50 for every ride. jay spent $46.50 on entrance

Illusion [34]

The function that can be used to find the number of rides Jay went on is, f(x) = 4.5x + 10 = 46.5. Hence, the first option is the right choice.

Also, on solving the function we get that, Jay went on 8 rides.

We assume the number of rides Jay spent to be x.

The cost of each ride is given to be $4.50.

Thus, the total amount Jay spent on rides = $4.50x.

The entrance fee to the park is given to be $10.50.

Thus, the total expenditure of Jay can be shown as $(4.5x + 10.5).

But, in the question we are given that Jay spend $46.50 altogether.

Thus, the function to find the number of rides Jay went on can be shown as:

f(x) = 4.5x + 10 = 46.5.

Hence, the first option is the right choice.

To find the number of rides he went, we can solve this function as:

4.5x + 10 = 46.5,

or, 4.5x = 46.5 - 10.5 = 36,

or, x = 36/4.5 = 8.

Thus, Jay went on 8 rides.

Learn more about functions at

brainly.com/question/6073787

#SPJ4

6 0

2 years ago

∠ABC≅ A. ∠NMP B. ∠MNP C. ∠NPM D. ∠PMN

maria [59]

Angle ABC is congruent to angle MNP

5 0

4 years ago

Read 2 more answers