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
seropon [69]
3 years ago
7

What is the graph for {3x+5y<10 {x-y<=1

Mathematics
1 answer:
Nostrana [21]3 years ago
6 0
Sounds to me as tho you are to graph 3x+5y<10, and that after doing so you are to restrict the shaded answer area created by the "constraint" inequality x≤y+1.    OR x-1 ≤ y   OR  y≥x-1.  If this is the correct assumption, then please finish the last part of y our problem statement by typing   {x-y<=1}.

First graph 3x+5y = 10, using a dashed line instead of a solid line.

x-intercept will be 10/3 and y-intercept will be 2.  Now, because of the < symbol, shade the coordinate plane BELOW this dashed line.

Next, graph y=x-1.  y-intercept is -1 and x intercept is 1.  Shade the graph area ABOVE this solid line.

The 2 lines intersect at (1.875, 0.875).  To the LEFT of this point is a wedge-shaped area bounded by the 2 lines mentioned.  That wedge-shaped area is the solution set for this problem.
You might be interested in
Can someone please help me in one of these!?
Anarel [89]

Answer:

9) y = -200x + 1200

11) slope = -2

15) $2,450

16) 9 days

Step-by-step explanation:

9) Given the two points from the graph:

Let (x₁, y₁) = (0, 1200)

(x₂, y₂) =  (1, 1000)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1000 - 1200)/(1 - 0)

m = -200/1

m = -200

The slope of the line is -200.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it shows that the line crosses at point (0, 1200). The y-coordinate of this ordered pair is the value of the y-intercept, b = 1200.

Therefore, the linear equation in slope-intercept form is y = -200x + 1200.

<h3>11) Given the points, (5, -18) and (-4, 0): </h3>

Let (x₁, y₁) =(5, -18)

(x₂, y₂) =  (-4, 0)

Substitute these values into the following <u>slope formula</u>:

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{0 - (-18)}{-4 - 5} = \frac{0 + 18}{-9} = -2

Therefore, the slope of the line is -2.

<h3>15) Solve:</h3>

Given the fixed fee of $200, and the $150 per hour after the initial meeting:

We can represent these in slope-intercept form:

y = 150x + 200

y = total cost for the Attorney's services

x = number of hours worked.

The y-intercept in this given problem is $200, which represents the flat fee charged for the initial meeting. While the slope in this equation is $150, which is the hourly rate that an Attorney charges his clients after the initial meeting.

If an Attorney works for 15 hours, then:

Let x = 15, and substitute its value into the equation to find the total cost:

y = 150x + 200

y = 150(15) + 200

y = 2,250 + 200

y = 2,450

Therefore, a client will pay a total of $2,450 for an Attorney's 15 hours of work.

<h3>16) Solve: </h3>

Given the water level on a Lake of 165 inches after a rainstorm, and the water level's receding rate of 3 inches per day:

We can establish the following linear equation to model this given problem:

L = -3d + 165

Where:

L = represents the water level of the Lake

d = number of days that the water level recedes

In order to find the number of days it will take before the water level recedes to 84 inches:

Substitute the value of L = 84 into the equation:

L = -3d + 165

84 = -3d + 165

Subtract 165 from both sides:

84 - 165 = 3d + 165 - 165

-27 = -3d

Divide both sides by  -3:

\frac{-27}{-3} = \frac{-3d}{-3}

9 = d

Therefore, it will take 9 days for the water level to be at 84 inches.

7 0
3 years ago
3 2/4 pieces f cake after party eats 1 /2/3 next night how much does she have left
xz_007 [3.2K]
The person has 1 5/6 cake left because 3 2/4 - 1 2/3 = 1 5/6! Hope this helps ^0^

Explanation 
Rewriting Expression in different parts.
= 3 + 2/4 + 1 + 2/3.

Solving The Whole Number Parts.
3 + 1 = 4

Solving The Fraction Parts.
2/4 + 2/3 = ?

Find the LCD of 2/3 and 2/4 and Rewrite to solve with equivalent Fractions.
LCD = 12

6/12 + 8/12 = 14/12

Simplify the Fraction Part.
14/12 = 7/6

Simplify The Fraction Part Again.
7/6 = 1 1/6

Combining The Whole Numbers With The Fractions.
4 + 1 + 1/6 = 5 1/6 

Hope this helps ^0^! ;D
8 0
3 years ago
Geometry, help please ! :)
Dovator [93]

The bottom rectangle is 52 ft by 27 ft.

The top rectangle is 30 ft by 17 ft (calculated as 57 ft - 27 ft - 13 ft = 17 ft).

The connector rectangle is 13 ft by 9 ft (calculated as 30 ft - 21 ft = 9 ft).

total area = 52 ft * 27 ft + 30 ft * 17 ft + 13 ft * 9 ft

total area = 1404 ft^2 + 510 ft^2 + 117 ft^2

total area = 2031 ft^2

weight = 2031 ft^2 * 12 lb/ft^2

weight = 24,372 lb

4 0
3 years ago
Find the equation of the straigt line
natka813 [3]

Given :

A graph with a straight line on it.

To Find :

The equation of the line.

Solution :

From the given graph we can see that the line passes through point ( 0,6 ) and ( 4,10 ) .

Also, equation of line passes through two points (x_1,y_1) and ( x_2,y_2) is :

y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})( x - x_1)

Putting all given values, we get :

y - 6 = (\dfrac{10-6}{4-0})( x -0)\\\\y - 6 = x\\\\y -x = 6

Therefore, the equation of line is y - x = 6 .

3 0
3 years ago
The experimental probability that Amir will make a basket is 0.4. The experimental probability that Juju will make a basket is 0
madreJ [45]

Answer:

30 baskets

Step-by-step explanation:

The experimental probability Pa that Amir will make a basket is 0.4;

Pa = 0.4

the experimental probability Pj that juju with make the same basket is 0.6;

Pj = 0.6

Total number of shoot Nt = 150

Number of basket Amir will make is;

Na = Pa × Nt

Na = 0.4 × 150

Na = 60 basket

Number of basket juju will make is;

Nj = Pj × Nt

Nj = 0.6 × 150

Nj = 90 basket

6 0
2 years ago
Read 2 more answers
Other questions:
  • a box contains apples and oranges. the ratio of apples to oranges is 5:3. if there are 15 apples in the box, how many oranges ar
    12·1 answer
  • What is the equation of the product of three more than a number and eight is fourteen
    11·2 answers
  • The worker at the ice skating rink had to put away four pairs of skates how many states were there in all
    15·1 answer
  • which of the following is the most appropriate unit to describe the time you can drive a car based on the amount of gas
    13·1 answer
  • The sum of 2 numbers is 25. Their product is 150 find them.
    15·2 answers
  • Fr33 points and brainly but first I need you to say to yourself that your AWESOME THE WAY you are!
    5·2 answers
  • Figure ABCD is a parallelogram.
    13·1 answer
  • This trapezoid-based right pyramid has a volume of 48m³. What is the area of the base of the pyramid?
    5·1 answer
  • The sum of two numbers is 52 and the difference is 12. What are the numbers?
    8·1 answer
  • Help help help help math
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!