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F = {(x, y): y = 2x + 3} and D= {2, 4, 6} then, find Range of f

Aliun [14]

Answer:

R= {7, 11, 15}

Step-by-step explanation:

Since we already know what the Domain is for f (2, 4, 6) we can use that to get the range

Since the domain is also x let's replace x for 2

y=2(2)+3= 4+3=7

One of the range is 7

Replace x for 4

y=2(4)+3= 8+3= 11

One of the other range is 11

Replace x for 6

y= 2(6)+3= 12+3= 15

The last range is 15

So the range is R= {7, 11, 15}

8 0

2 years ago

Read 2 more answers

12 bars of chocolate costs $3.00 . What is the cost of each chocolate bar?

andre [41]

Answer:

$0.25

Step-by-step explanation:

Divide the cost by the amount.

$\frac{3}{12}=0.25$

Therefore, the cost of each chocolate bar is $0.25.

7 0

2 years ago

I need help on 2 questions !

Fudgin [204]

4. Yes, line L is parallel to M because they do not intersect, the angles do not matter.

5.

A. 2 and 3 would be Alt. Int. Angles.

B. 2 and 4 are congruent angles.

6 0

3 years ago

Simplify the expression. (Do not evaluate the exponents on coefficients in the answer.)

ycow [4]

Answer:

$(-6)^5p^5$

Step-by-step explanation:

To evaluate or simplify expressions with exponents, we use exponent rules.

1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.

2. When we multiply terms with the same bases, we add exponents.

3. When we divide terms with the same bases, we subtract exponents.

4. When we have a base to the exponent of 0, it is 1.

5. A negative exponent creates a fraction.

6. When we raise an exponent to an exponent, we multiply exponents.

7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules 2 and 7 to simplify. First apply the 4 exponent to both -6 and p. Then add the exponent of the base -6 and p on the outside of the parenthesis.

$(-6p)^4(-6p)\\(-6)^4p^4*-6*p\\(-6)^5p^5$

8 0

3 years ago

A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?

KatRina [158]

Answer:

$y=3x+4$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

1) Determine the slope (m)

$m=\frac{y_2-y_1}{x_2-x_1}$ where two points that the line passes through are $(x_1,y_1)$ and $(x_2,y_2)$

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

$=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3$

Therefore, the slope of the line is 3. Plug this into $y=mx+b$

$y=3x+b$

2) Determine the y-intercept (b)

The y-intercept is given; it is 4. Plug this back into $y=3x+b$

$y=3x+4$

I hope this helps!

3 0

2 years ago