MATHEMATICS HIGH SCHOOL

The set of ordered pairs (–1, 8), (0, 3), (1, –2), and (2, –7) represent a function. What is the range of the function? {x: x = –1, 0, 1, 2} {y: y = –7, –2, 3, 8} {x: x = –7, –2, –1, 0, 1, 2, 3, 8} {y: y = –7, –2, –1, 0, 1, 2, 3, 8}

Answers

Answer 1

Answer: {y: y= -7, -2, 3, 8} is the range of the function.

Answer 2

Answer:

Answer:

B. y: y= -7, -2, 3, 8}

Step-by-step explanation:

Related Questions

In a port, the median weight of a container is 4,700 lbs, with a standard deviation of 500 pounds. 14% of the containers weigh more than 5,900 pounds.Why can't this data be represented by a normal distribution? Because the containers are too heavy. Because the standard deviation is too small. Because the standard deviation is too big. Because we don't know the number of containers.
If 75% of a number is 108, what is the number? a. 32 b. 81 c. 113 d. 144
Need to find common denominators for 58/2.9 and 58/5
Eric earned 60 points on his last test if there were 75 possible points what was his percent grade
Frank's bank charges a variable finance rate of 1.5 percent on purchases up to $100, and one percent for purchases over $100. If his unpaid balance is $354.15 this month, what is his finance charge?

Let $f(x) = x^2$ and $g(x) = \sqrt{x}$. Find the area bounded by $f(x)$ and $g(x).$

Answers

The area bounded by the functions f(x) and g(x) in graph below.

The given function are f(x)=x² and g(x)=√x.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

To find the area between two curves defined by functions, integrate the difference of the functions. If the graphs of the functions cross, or if the region is complex, use the absolutevalue of the difference of the functions.

Area bounded = |x²-√x|

Find the domain by finding where the expression is defined.

Interval Notation:

[0,∞)

Set-Builder Notation:{x|x≥0}

Therefore, the area bounded by the functions f(x) and g(x) in graph below.

To learn more about the function visit:

brainly.com/question/28303908.

#SPJ2

Answer:

$\large\boxed{1(1)/(3)\ u^2}$

Step-by-step explanation:

Let's sketch graphs of functions f(x) and g(x) on one coordinate system (attachment).

Let's calculate the common points:

$x^2=√(x)\qquad\text{square of both sides}\n\n(x^2)^2=\left(√(x)\right)^2\n\nx^4=x\qquad\text{subtract}\ x\ \text{from both sides}\n\nx^4-x=0\qquad\text{distribute}\n\nx(x^3-1)=0\iff x=0\ \vee\ x^3-1=0\n\nx^3-1=0\qquad\text{add 1 to both sides}\n\nx^3=1\to x=\sqrt[3]1\to x=1$

The area to be calculated is the area in the interval [0, 1] bounded by the graph g(x) and the axis x minus the area bounded by the graph f(x) and the axis x.

We have integrals:

$\int\limits_(0)^1(√(x))dx-\int\limits_(0)^1(x^2)dx=(*)\n\n\int(√(x))dx=\int\left(x^(1)/(2)\right)dx=(2)/(3)x^(3)/(2)=(2x√(x))/(3)\n\n\int(x^2)dx=(1)/(3)x^3\n\n(*)=\left((2x√(x))/(2)\right]^1_0-\left((1)/(3)x^3\right]^1_0=(2(1)√(1))/(2)-(2(0)√(0))/(2)-\left((1)/(3)(1)^3-(1)/(3)(0)^3\right)\n\n=(2(1)(1))/(2)-(2(0)(0))/(2)-(1)/(3)(1)}+(1)/(3)(0)=2-0-(1)/(3)+0=1(1)/(3)$

Which of the following is a solution of y - x < -3?

Answers

If you would like to find the solution for the inequation y - x < - 3, you can do this using the following steps:

y - x < - 3
y - x + x < - 3 + x
y < - 3 + x
y < x - 3

The correct result would be y < x - 3.

List all the factors of 32.1, 2, 3, 4, 6, 8, 12, 16, 32
1, 2, 4, 8, 16, 32
1, 2, 6, 8, 16, 32
1, 2, 16, 32

Answers

Factors of 32 are 1, 2, 4, 8, 16 and 32.

Answer:

1 2 3 4 6 8 12 16 32

Step-by-step explanation:

Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per week. This week, her goal is to make at least $75. A. Use a system of inequalities to model the scenario above. Let x represent babysitting hours and y represent tutoring hours.
B. Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week.
C. Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model.

Answers

For the answer to the question above, I would start with a simple equation 6x+10y is more than or equal to 75
A.
If we let x represent babysitting hours and y represent tutoring hours:
x+ y ≤ 20
6x + 10y ≥ 75

B. The inequality: x+ y ≤ 20 can be graphed by graphing the line x + y = 20 and shading the area below the line.
The inequality 6x + 10y ≥ 75 can be graphed by graphing the line 6x + 10y = 75 and shading the area above the line.

C. The area where the two shaded regions from the two inequalities overlap are the possible number of hours for tutoring and for babysitting. Algebraically:
x ≤ 20 - y
6(20 - y) +10y ≥ 75
y ≤ 11.25
x ≤ 8.75

Answer:

x+y≤20

6x+10y ≥ 75

Step-by-step explanation:

Let the number of hours of babysitting be x and that for tutoring be y

As per the given conditions

The total no of hours of work must be less than or equal to 20

Hence

x+y≤20

Also Her target is to earn atleast $75

Hence the second inequation will be

6x+10y≥75

Hence our system of inequatlites representing above conditions are

x+y≤20

6x+10y≥75

Now in order to graph them , we first graph the lines x+y=20 and 6x+10y=75 and shade the region which satisfies the respective inequality by taking a coordinate (0,0) .

Please refer to the graph attached with this.

The shaded region gives us the set of coordinates probably the solution to above inequations.

Let us pick one coordinate (10,5) from the shaded region and check for the solution.

put (10,5) in two inequations and see if they are true for them.

10+5≤20

15≤20 True

6(10)+10(5) ≥75

60+50≥75

110≥75 true

Hence checked , both stands true for (10,5)

Which of the following expressions is equivalent to : 2-x/x-3 ? Select all that apply.a. 2-x b. x-2 c. x-2 d. 2 + x
------ ----- _ ------ --------
3-x 3-x x-3 x+3

Answers

2-x/x/3=-2

what are you trying to figure out

The number of chips of different colors in Amy's bag is shown below: 8 blue chips 9 pink chips 1 white chip Amy takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Amy takes out a pink chip in both draws?

Answers

probability of an event happening = number of ways it can happen
total number of outcomes

Given:
blue chips = 8
pink chips = 9
white chips=1
total = 18

1st draw:
pink chip = 9/18 = 1/2

2nd draw:
pink chip = 9/18 = 1/2

Answer:

81/324

Step-by-step explanation:

9/18 * 9/18 = 81/324

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