1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
motikmotik
3 years ago
14

A video game requires at least 4 points to advance. Each solved puzzle is worth two points. Each solved riddle is worth 1 point.

If x is the number of solved puzzles and y is the number of solved riddles, which graph represents this scenario?
PLZ HELP IM TIMED

Mathematics
2 answers:
OleMash [197]3 years ago
4 0

Answer:

The graph that representss this scenario is attached.

Explanation:

You can create the graph by determining the expression that shows the relationship between the variables and then drawing the graph in a coordinate system.

1. Determine the expression that relates the variables.

a) The name of the variables is given:

x: number of solved puzzles

y: number of solved riddles

b) Point rules:

Each solved puzzle is worth two points: 2x

Each solved riddle is worth 1 point: 1y = y

Sum of points: 2x + y

The video game requires at least 4 points to advance: this means that the number of points must grater than or equal to 4 ⇒ 2x + y ≥ 4 .

In conclusion, it has been determined that the expression that rules the system of points is the inequality 2x + y ≥ 4.

2) Building the graph

Solve algebraically for y: y ≥ 4 - 2x

You want to draw the border line of the function, that is y = 4 - 2x

You have a linear function, so you need only two points to draw it. It is generally easier to work with the intercepts.

x-intercept (y = 0) ⇒ 2x + 0 = 4 ⇒ 2x = 4 ⇒ x = 2 ⇒ point (2, 0)

y-intercept (x = 0) ⇒ 2(0) + y = 4 ⇒ y = 4 ⇒ point (0, 4).

In conclusion, you can use the points (2,0) and (0,4) to draw the line that is the border of your graph.

Addtional constrains: x and y cannot be negative, so add the constrains:

       x ≥ 0 and y ≥ 0

The set of solutions of y ≥ 4 - 2x is the same line y = 4 - 2x and the region over the line, so you have to shade that portion of the graph, but only in the first quadrant (since x and are greater than or equal to zero).

plz give brainliest

Gwar [14]3 years ago
3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> the number of solved puzzles

y -----> the number of solved riddles

we know that

2x+y \geq 4

The solution of the inequality is the shaded area above the solid line 2x+y=4

The slope of the solid line is negative m=-2

The y-intercept of the solid line is the point (0,4)

The x-intercept of the solid line is the point (2,0)

therefore

The graph in the attached figure

You might be interested in
What is the LCM<br> OF 4, 8 and 16
sleet_krkn [62]
I think the answer is 2
8 0
3 years ago
Read 2 more answers
Find x inscribed angles
mina [271]
The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z.
Z should equal 87.
The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:

93= (112 + x)/2
Multiply both sides by 2
186 = 112 + x
Subtract 112 from both sides
74 = x

Now we can apply the same method we used to find "x" to find y. Set up an equation like this:
80 = (y + x)/2
Substitute the value of x in
80 = (y + 74)/2
Multiply both sides by 2
160 = y + 74
Subtract 74 from both sides
86 = y

Hope this helps!
5 0
3 years ago
What adds to give you 1, but multiplies to give you -90?
ella [17]
I would say -9 and 10
4 0
3 years ago
Help please, my brain stopped working and my assignment is due by midnight
Marizza181 [45]
The correct answer is x= -6 let me know if you want to know how I got that or if you needed to know if it is no solution/ infinite/etc..
3 0
3 years ago
Read 2 more answers
A submarine cruises underwater at 20 km/h and on
Darina [25.2K]

Answer:

System of equations:

20x + 30y = 650

x + y = 25

Time underwater = 10 hours

Time at the surface = 15 hours

Step-by-step explanation:

Let x = time underwater at 20 km/h.

Let y = time on the surface at 30 km/h.

speed = distance/time

distance = speed * time

distance underwater: 20x

distance on the surface: 30y

total distance: 650

20x + 30y = 650

total time: x + y

total time: 25

x + y = 25

20x + 30y = 650

x + y = 25

20x + 30y = 650

-20x - 20y = -500

--------------------------------

          10y = 150

              y = 15

x + y = 25

x + 15 = 25

x = 10

4 0
3 years ago
Other questions:
  • Please answer by tomorrow! Thanks!
    11·1 answer
  • How do i divide 36 by .75 and what is the answer
    15·2 answers
  • The sum of two numbers is 50. One number is 10 less than three times the other number. What are the two numbers? 25 and 25 45 an
    15·1 answer
  • How do u factor 10x^2-12x=o
    15·1 answer
  • Write a^6 using a positive exponent
    15·1 answer
  • What is the equation of the line that has a slope of -3 and passes through the point (-4,-2)
    12·1 answer
  • There are 13 monkey. 6 are small. The rest are big. How many monkeys are big?
    9·2 answers
  • Homework: Compound Probability (With Replacement)
    15·1 answer
  • a triangle flower bed has one angle of 64 degrees. the other two angles are congruent to one another. what are the measures of t
    14·1 answer
  • Please help me thank you!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!