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
xz_007 [3.2K]
3 years ago
15

Solve the following system of equations graphically on the set of axes below. Y=1/3x+6 y=-5/3x-6

Mathematics
1 answer:
Aleks [24]3 years ago
6 0

Answer:

I can not solve it in the system of the image, but i will give you the graph so you can copy it, or at least see how it is done.

First, we have the lines:

y = (1/3)*x + 6

y = (-5/3)*x - 6

To graph these lines, you must find two points for the lines and then draw a line that connects the points.

To do it, you can evaluate each line in two different values of x, for example for the first line we can have:

y(0) = (1/3)*0 + 6 = 6   (then we have the point (0, 6))

y(3) = (1/3)*3 + 6 = 7    (then we have the point (3, 7))

And for the second line, we will have:

y(0) = (-5/3)*0 - 6 = -6 (then we have the point (0, -6))

y(3) = -(5/3)*3 - 6 = -11 (then we have the point (-3, -11))

Now with those points we can graph the lines, and the solution of the system of equation will be the point where the two lines intersect.

The graphs of the lines are shown below:

Where the grey line is the first one, and the green is the second.

In the graph, you can see that the lines intersect in the point (-6, 4)

Then the solution for the system is x = -6, and y = 4.

You might be interested in
Which equation demonstrates the additive identity property?
kramer
It's the first one (7+4i)+(7-4i)=14
6 0
2 years ago
A car travels 10 km southeast and then 15 km in a direction 60° north of east. Find the magnitude of the car's resultant vector.
ra1l [238]

Answer:

60×10 =600<u>÷</u><u>1</u><u>5</u><u>=</u><u>4</u><u>0</u>

Step-by-step explanation:

oh that's my answer

5 0
2 years ago
Read 2 more answers
5. The shape of a dome can be modeled by the equation h = - 2 d 2 + 100 where h is the height (in feet) of the dome from the flo
klasskru [66]

Answer:

5. When the dome is 50 feet high, the distance from the center is 5 feet

6. The equation that model the price y of an x-mile long ride is given as follows;

y = 0.1×x + $3.00

7. The discriminant is < 0; The equation has no real root

8. f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

Step-by-step explanation:

5. The given equation for the shape of the dome is presented as follows;

h = -2·d² + 100

Where;

h = The height of the dome (in feet)

d = The distance from the center

Therefore, we have;

When h = 50, d is found as follows;

h = -2·d² + 100

50 = -2·d² + 100

50 - 100 = -2·d²

-50 = -2·d²

∴ 2·d² = 50

d² = 50/2 = 25

d = √25 = 5 feet

Therefore when the dome is 50 feet high, the distance from the center is 5 feet

6. The given rate the cab charges per mile, x = $0.10

The rate the cab charges as flat fee = $3.00

Therefore, the price, y a person traveling by cab for x miles is given by the straight lie equation as y = m·x + c,

Where;

m = the slope or rate which in this case = $0.1/hour

c = A constant term which in this case = $3.00

Therefore

y = 0.1×x + $3.00

The equation that model the price y of an x-mile long ride is y = 0.1×x + $3.00

7. The discriminant, b² - 4·a·c  of the quadratic equation is (-4)² - 4×3×6 = -56

which is < 0, the equation has no real root

8. Given f(x) = 7·x² + 5

f(3) = 7 × (3)² + 5 = 68

f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is given as follows;

Down 4 units is equivalent to subtracting 4 from the y-coordinate value, therefore, we have;

f(x) - 4= 7·x + 3

f(x) = 7·x + 3 + 4

f(x) = 7·x + 7

The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

4 0
3 years ago
A streaming service charge $10 plus $1.25 per movie downloaded. You have
ch4aika [34]

Answer:

16

Step-by-step explanation:

30-10=20

20 divided by 1.25 = 16

8 0
2 years ago
solve the equation below for y. 8x − 2y = 24 a. y = 4x − 12 b. y = 12 − 4x c. y = 8x − 24 d. y = 4x − 8
Feliz [49]
 the answer is a. 4x-12
7 0
3 years ago
Other questions:
  • What is a fraction equivalent to 4/25?
    7·2 answers
  • Rewrite the formula to find the radius of a sphere. The volume (V) of a sphere is given by the formula V=4/3 pi r^2
    14·2 answers
  • The base of a ladder is 25 meters due west of a burning building. If the angle of elevation of the ladder is 51°, how long is th
    7·1 answer
  • What are the last two numbers after 12,500,-2500,500,-100
    15·1 answer
  • Find the minimum and maximum possible areas of a rectangle measuring 6 km by 11 km.
    5·1 answer
  • 1) Determine the intervals over which the function is
    7·1 answer
  • Which of the following relations is a function?
    11·1 answer
  • What is the circumference of this circle? Use π ≈ 3.14. Round your answer to the nearest tenth of a centimeter
    15·1 answer
  • What is the volume of a rectangular prism​
    14·1 answer
  • Rewrite the expression in terms of ln 4 and ln 5.<br> ln(400)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!