1) The graph below represents the function y = f(x). State the domain and range of this
function in interval notation.

Answer:

A) 0

Step-by-step explanation:

15/21 simplifies to 5/7. 5/7-5/7 (itself) is 0.

Answer:

0

Step-by-step explanation:

= [tex]\frac{5}{7}-\frac{5}{7}[/tex]

= [tex]\frac{5-5}{7}[/tex]

= [tex]\frac{0}{7}[/tex]

= [tex]0[/tex]

Answer:

The slope is undefined.

Step-by-step explanation:

You can use slope formula (y - y)/(x - x) and you will get a zero on the bottom (never allowed) OR notice that the x's are the same so sketch a graph, the line is vertical...that means that slope is undefined.

Answer:

y=-1/4x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/4(x-(-8))

y-3=-1/4(x+8)

y=-1/4x-8/4+3

y=-1/4x-2+3

y=-1/4x+1

The slope-intercept form is [tex]y = mx + b[/tex]where m is the slope and b is the y-intercept.

The equation is already in slope-intercept form.

[tex]y = - x + 4[/tex]

Answer:

Step-by-step explanation:

Q8:

y= -x+4   (given)

Slope of given the line=-1

For required slope which is passing through (6,5):

Using Point slope form:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

y-5=-1(x-6)    (m=-1 because lines are parallel)

y-5=-x+6

x+y-5-6=0

x+y-11=0

Q9:

y=-4x-7

slope of the given line:

m=-4

Slope of required line:

m=1/4

Using Point slope form:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

y+1=1/4(x-8)

4y+4=x-8

x-4y-8-4=0

x-4y-12=0

Answer:

14% of the seats are empty

Step-by-step explanation:

7/50 = ?/100

50×2=100

so 7×2=?

?=14

14/100=14%

The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%

We are given;

Total number of seats in hall = 50

Number of occupied seats = 43

Number of empty seats = 7

Now, we want to find the percent of seats were empty.

This is gotten by;

% of empty seats = (number of empty seats/total number of seast) * 100%

% of empty seats = (7/50) * 100%

% of empty seats = 14%

Read morer about Percentages at; https://brainly.com/question/843074

Answer:

260 students like sports

Step-by-step explanation:

100÷5=20x8=160+100=260

Answer:   x = 39/10     y = 29/5

Answer:

(17,25)

Step-by-step explanation:

To find the solution to the system, solve with elimination.

Equation 1.

−4x + 3y =7

Equation 2.

5x − 2y =35

To cancel out the y-variable, multiply the first equation by 2, and the second equation by 3.

2(−4x + 3y =7)

-8x+6y=14

3(5x − 2y =35)

15x-6y=105

Combine both equations.

-8x+6y=14

15x-6y=105

7x=119

x= 17

Plug in x into the first equation to solve for y.

-8x+6y=14

-8(17)+6y=14

-136+6y=14

6y=150

y=25

The slope of the line is -(1/2)

Answer:

hundredths; 81.73

Step-by-step explanation:

If the number underlined is two, then it will rounding to the hundredths place. Since the number after it is 7, which is greater than 5, we get 81.73.

Answer:          

8.8 x 10 to the 9th power

Step-by-step explanation:

(a) The equation for estimating the weight W of the Golden Delicious apples is W + 20 = 44.

(b) The weight of the Golden Delicious apples is 24 pounds.

The equation for estimating the weight W of the Golden Delicious apples is calculated as follows;

Weight of Golden delicous apples + Weight of Honeycrisp = Total weight of the apples

W + 20 = 44

The weight of the Golden Delicious apples is calculated as follows;

W + 20 = 44

collect similar terms together;

W = 44 - 20

W = 24 lb

Learn more about word problem in Algebra here: https://brainly.com/question/17067890

Answer:

To Bend I would say.

Step-by-step explanation:

Because he wants to get out of the stituration and go to the arcade. But he needs to change he father's mind to go. So he needs to Bugde or Bend his father's decision to let him go to the arcade.

Answer:

50 miles

Step-by-step explanation:

when you match 5 on the side for practice on the x axis, it matches to 50 miles on the y axis

Answer:

Step-by-step explanation:

1

(x+3)+(x-1)+(x+1) = 90°

3x + 3 = 90°

3x = 90 - 3

3x = 87

x = 87/3

x = 29°

2

x + (x+104) = 180°

2x + 104 = 180°

2x = 180 - 104

2x = 76

x = 76/2

x = 38°

Answer:

do it your self.

Step-by-step explanation:

Answer:

Find the GCD (or HCF) of numerator and denominator. GCD of 18 and 15 is 3.

18 ÷ 315 ÷ 3.

Reduced fraction: 65. Therefore, 18/15 simplified to lowest terms is 6/5.

Answer:

4

Step-by-step explanation:

Split 19 into two numbers, 9 and 10. If there are 10 nickels, there are 5 dimes. That means there rest are quarters and there are 4.

edit : im not american and have little knowledge of how much each are worth

Answer:

the first one, it's linier (even)

The first graph is the one that represents an even function. See why below.

An even function is a mathematical function where f(x) = f(-x) for all x in the function's domain. It exhibits symmetry with respect to the y-axis.

The graph of an even function is symmetric with respect to the y-axis. If you fold the graph along the y-axis, the two halves will overlap perfectly.

Understanding even functions is relevant because they possess specific symmetry properties, which can help in analyzing and solving mathematical problems involving symmetry and function transformations.

Learn more about even function at:

https://brainly.com/question/23934926

#SPJ2

Step-by-step explanation:

i hope the illustrations are clear

Reminder = f ( 6 )

Thus :

[tex]f(6) = {6}^{4 } - 4( {6})^{3} + 1[/tex]

[tex]f(6) = 1296 - 864 + 1[/tex]

[tex]f(6) = 433[/tex]

Thus ;

[tex]remider = 433[/tex]

Answer:

5

Step-by-step explanation:

6-2x = 5x-9x+16

leave the x's together: (going over the equal signs changes the sign)

-2x-5x+9x = 16-6

2x = 10

x = 5

Answer:

Step-by-step explanation:

a) PQ is parallel to the y-axis and contains point (4, 5).

It means its equation is:

b) RQ is parallel to OP.

Parallel lines have equal slopes.

Find the slope of OP:

RQ has slope of 1.25 and passes through (- 8, 5).

Find its equation using point-slope form:

c) The x-intercept is determined at y = 0:

Answer:

y = 25x

Step-by-step explanation:

This is a straight line, so the formula is:

y = ax + b

a is the slope and b is the y-intercept.

Slope formula:

a = (y2 - y1)/(x2 - x1)

Select two random points from the line:

Slope a = (100 - 50)/(4 - 2) = 50/2 = 25

=> y = 25x + b

Use one of the points to find b:

50 = 25*2 + b

=> b= 0

So the equation is y=25x

Answer:

a= 6

Step-by-step explanation:

(7a-4)= 38

7×6= 42

42-4= 38

Answer:

94 m

Step-by-step explanation:

Perimeter = 2(l + W)

336=2(74 + L)

336/2=74+L

168-74=L

L=94 m