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
Lunna [17]
3 years ago
11

Solve de system by elimination. x-5y=3 4x-4y=12​

Mathematics
1 answer:
Anit [1.1K]3 years ago
7 0

If we multiply the top equation by -4 we can get rid of the x so:

-4x+20y=-12

4x-4y=12

Add these up

16y=0

Y=0

X=3

You might be interested in
Christine is a software saleswoman. Her base salary is $2300, and she makes an additional $120 for every copy of History is Fun
slava [35]

Answer:

please give me brilliant answer

Boundless Algebra

Quadratic Functions and Factoring

Graphs of Quadratic Functions

Parts of a Parabola

The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.

LEARNING OBJECTIVES

Describe the parts and features of parabolas

KEY TAKEAWAYS

Key Points

The graph of a quadratic function is a U-shaped curve called a parabola.

The sign on the coefficient aa of the quadratic function affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up).

The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex.

The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function.

Key Terms

vertex: The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function.

axis of symmetry: A vertical line drawn through the vertex of a parabola around which the parabola is symmetric.

zeros: In a given function, the values of xx at which y=0y=0, also called roots.

Recall that a quadratic function has the form

f(x)=ax2+bx+cf(x)=ax2+bx+c.

where aa, bb, and cc are constants, and a≠0a≠0.

The graph of a quadratic function is a U-shaped curve called a parabola.  This shape is shown below.



Parabola : The graph of a quadratic function is a parabola.

In graphs of quadratic functions, the sign on the coefficient aa affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up). This is shown below.



Direction of Parabolas: The sign on the coefficient aa determines the direction of the parabola.

Features of Parabolas

Parabolas have several recognizable features that characterize their shape and placement on the Cartesian plane.

Vertex

One important feature of the parabola is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.

Axis of Symmetry

Parabolas also have an axis of symmetry, which is parallel to the y-axis. The axis of symmetry is a vertical line drawn through the vertex.

yy-intercept

The y-intercept is the point at which the parabola crosses the y-axis. There cannot be more than one such point, for the graph of a quadratic function. If there were, the curve would not be a function, as there would be two yy values for one xx value, at zero.

xx-intercepts

The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of xx at which y=0y=0. There may be zero, one, or two xx-intercepts. The number of xx-intercepts varies depending upon the location of the graph (see the diagram below).



Possible xx-intercepts: A parabola can have no x-intercepts, one x-intercept, or two x-intercepts

Recall that if the quadratic function is set equal to zero, then the result is a quadratic equation. The solutions to the equation are called the roots of the function. These are the same roots that are observable as the xx-intercepts of the parabola.

Notice that, for parabolas with two xx-intercepts, the vertex always falls between the roots. Due to the fact that parabolas are symmetric, the 

7 0
3 years ago
sometime after passing a truck stop 300 miles from the start of her trip Cora's hybrid car ran out of gas assuming that the tank
Scrat [10]

Answer: 7.5 gallons

Step-by-step explanation:

300 divided by 40 is 7.5

Mark me as brainliest if this helps!

8 0
3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was to . If there were 12,7
Sever21 [200]

Answer: The question is incomplete

Step-by-step explanation: The answer to this question cannot be determined correctly since an important detail is missing.

However, let me explain how you would normally go about it by using an example of mine. If for example the ratio of yes votes to no votes was 8 to 5, and the question requires you to calculate how many yes votes were there as indicated in your question, then the first step would be to find the total number of both sides of the ratio. That is add 8 to 5 which gives you 13. This means if there was a total of 13 votes cast, every yes vote stands for 8 out of 13 votes and every no vote stands for 5 out of 13 votes.

To express it mathematically, every yes vote would be 8/13 of the total (12779) and every no vote would be 5/13 of the total (12779).

Therefore to determine how many yes votes there was, is calculated as follows;

Let yes votes be y and no votes be x'

y = (8/13) * 12779

y = 102232/13

y = 7864

<em>Based on my example that the ratio of yes votes to no votes is 8 to 5, </em>

Then the number of yes votes was 7,864.

7 0
3 years ago
"What is the probability that the next two employees that join the office staff will take the bus"
castortr0y [4]

Answer:

The correct option is A.

Step-by-step explanation:

Consider the complete question is "The table shows the transportation method used by the employees in an office.

Transportation   Number  of employees

      Car                      18

      Bus                       6

     Walk                      6

what is the probability that the next two employees that join the office staff will take the bus? A.0.04, B.0.12, C.0.33, D.0.36.

Total number of employees = 18 + 6 + 6 = 30

The probability that the employees take the bus = \frac{6}{30}=0.2

The probability that the employees that join the office staff will take the bus is

Probability=(0.2)\times (0.2)=0.04

Therefore, the correct option is A.

7 0
3 years ago
A gun mass of 5 kg fired a bullet of mass 10 g with the velocity of 360 km/h. What
klemol [59]

Answer:

The recoil velocity of the gun is 0.72\,\,\frac{km}{h}  and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}

6 0
3 years ago
Other questions:
  • What is the answer to 16b+5c-10-8c+2b
    8·1 answer
  • I need help plz thank u
    12·2 answers
  • Find the polynomial function with leading coefficient 3 that has the given degree and zeros.
    9·1 answer
  • What is the solution of the system?
    11·2 answers
  • Please please help. i need to pass this .
    9·1 answer
  • Unit 1 Review
    12·1 answer
  • Classify each pair of numbered angles.
    9·1 answer
  • ✨✨What’s 2 differences between the Earths layers and the atmospheric layers? ✨✨
    14·1 answer
  • Find an ordered pair (x, y) that is a solution to the equation.<br> 3x-y=5
    6·1 answer
  • LOOK AT PICTURE BELOW
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!