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
insens350 [35]
2 years ago
9

Graph each equation. Determine the solution of the system of equations

Mathematics
1 answer:
ivann1987 [24]2 years ago
5 0

Answer:

6

Step-by-step explanation:

Explanation: Equation 1: 3 x − 2 y = 10 Equation 2 : 5 x + 2 y = 6 Both equations are in the standard form for a linear equation. This form makes it easy to determine the x- and y-intercepts. We can use those two points to graph each equation. X-intercept: value of x when y = 0 Substitute 0 for y and solve for x . Y-intercept: value of y when x = 0 Substitute 0 for x and solve for y . Equation 1 3 x − 2 y = 10 X-intercept: Substitute 0 for y and solve for x . 3 x − 2 ( 0 ) = 10 3 x = 10 Divide both sides by 3 . x = 10 3 or ≈ 3.333 x-intercept: ( 10 3 , 0 ) or ( ≈ 3.333 , 0 ) Plot this point. Y-intercept: Substitute 0 for x and solve for y . 3 ( 0 ) − 2 y = 10 − 2 y = 10 Divide both sides by − 2 . y = 10 − 2 y = − 5 y-intercept: ( 0 , − 5 ) Plot this point. Draw a straight line through the two points. This is the graph for Equation 1. Equation 2 5 x + 2 y = 6 X-intercept: Substitute 0 for y and solve for x . 5 x + 2 ( 0 ) = 6 5 x = 6 Divide both sides by 5 . x = 6 5 or 1.2 x-intercept: ( 6 5 , 0 ) or ( 1.2 , 0 ) Plot this point. Y-intercept: Substitute 0 for x and solve for y . 5 ( 0 ) + 2 y = 6 2 y = 6 Divide both sides by 2 . y = 6 2 y = 3 y-intercept: ( 0 , 3 ) Plot this point. Draw a line between the two points. This is the graph of Equation 2. The lines intersect at a single point, therefore the system of equations is consistent. graph{(3x-2y-10)(5x+2y-6)=0 [-10, 10, -5, 5]}

You might be interested in
Solve the equation:<br><br> 3x-5      4x+1<br> ------- = --------<br> 2               4
Eduardwww [97]
Cross multiply 3x-5 with 4 and 4x + 1 with 2
Which it would give you 12x-20=8x+2 then solve for x
4 0
3 years ago
Write the sentence as an equation and solve.
Arturiano [62]

Answer:

22

Step-by-step explanation:

Basically X-14-8   so  8+14=X  X=22

5 0
3 years ago
A grocer sells milk chocolate at $2.50 per pound, dark chocolate at $4.30 per pound, and dark chocolate with almonds at $5.50 pe
rosijanka [135]

Answer:

10 pounds of milk chocolate, 15 pounds of dark chocolate, and 10 + 15 = 25 pounds of almond chocolate

Step-by-step explanation:

Let x be the number of pounds of milk chocolate that he needs to use in the mixture. And y is the number of pounds of of dark chocolate. Since the mixture must use almonds chocolate as much as the other 2 combined in term of weight, and the total weight is 50 pounds. That means

milk_choco_weight + dark_choco_weight + almond_choco_weight = 50

x + y + (x + y) = 50

2(x+y) = 50

x+y = 25 or x = 25 - y

Since we know the price of the mixture, we can use the following equation

2.5milk_choco_weight + 4.3dark_choco_weight + 5.5almond_choco_weight = 4.54total_weight

2.5x + 4.3y + 5.5(x+y) = 50*4.54

2.5x + 4.3y + 5.5*25 = 227

2.5x + 4.3y = 227 - 137.5 = 89.5

We can substitute x = 25 - y

2.5(25 - y) + 4.3y = 89.5

62.5 - 2.5y + 4.3y = 89.5

1.8y = 27

y = 15

so x = 25 - y = 25 - 15 = 10

So we need 10 pounds of milk chocolate, 15 pounds of dark chocolate, and 10 + 15 = 25 pounds of almond chocolate

3 0
3 years ago
Factor the trinomial or state that the trinomial is prime 3a^2 -10a-32
Lapatulllka [165]
Answer: (a+2)(3a-16)

Explanation: In the photo. Let me know if you have any questions about what I did! :)

7 0
3 years ago
In science class the students were asked to create a container to hold an egg. They would then drop the container from a window
belka [17]

Answer:

It will take 1.25 seconds to reach the ground.

Step-by-step explanation:

The equation of the containers pathway can be modeled by the equation given below :

h=-16t^2+25

t is time in seconds

It is required to find the time taken by the container to reach the ground. When it reached ground, its height is equal to 0 such that,

h=0\\\\-16t^2+25=0

-16t^2=25\\\\t=\sqrt{\dfrac{25}{16}} \\\\t=1.25\ s

So, it will take 1.25 seconds to reach the ground.

5 0
3 years ago
Other questions:
  • Cherries are 80% water by mass. The freezing point for cherries is 29 degrees F and heat absorbed when liquid changes to solid i
    8·1 answer
  • - Use your ruler and protractor to draw an isosceles obtuse triangle ZAP with and vertex angle B. base angles A and Z.​
    8·1 answer
  • Please help me with this question I’ve been stuck on it :(
    12·1 answer
  • If = 2 + √3, find the value of <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%20%7D" id="TexFor
    13·1 answer
  • RSM QUESTION NEED HELP!!!! If you dissolve 10 grams of sugar in 30 grams of water, you will make ____ grams of ____% sugar syrup
    8·2 answers
  • 100 (10 - 15m) = (15.25) 100
    7·1 answer
  • Which expression has a value of 13?
    10·2 answers
  • Plz help me I need help I can not <br> Figure this out
    11·2 answers
  • Gerald will chooses color of shirt and a style of tie to wear today. He can choose from a
    12·1 answer
  • Pregunta
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!