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
NeTakaya
3 years ago
10

Which systems of equations intersect at point A in this graph?

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

Step-by-step explanation:

Given the point

  • A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Arrange equation variable for elimination

\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}

so

y+3x=-5

-

\underline{y-4x=9}

7x=-14

so the system of equations becomes

\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}

Solve 7x = -14 for x

7x=-14

Divide both sides by 7

\frac{7x}{7}=\frac{-14}{7}

Simplify

x = -2

For y - 4x = 9 plug in x = 2

y-4\left(-2\right)=9

y+4\cdot \:2=9

y+8=9

Subtract 8 from both sides

y+8-8=9-8

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

You might be interested in
Lara bought 3 yards of fabric and a spool of thread for $28.10. If the spool of thread cost $1.25, how much did the fabric cost
Lyrx [107]

Answer: $8.95 per yard of fabric

Step-by-step explanation:

Define the following:

x = cost of fabric per yard

Make an equation:

⇒ 3x + 1.25 = 28.10

⇒ 3x = 26.85

⇒ x = 8.95

∴ $8.95 per yard of fabric

7 0
2 years ago
What does it mean when two functions are inverse of each other?
mariarad [96]
They are the opposite of each other.  Like if one function has the point (1,3) the inverse function with have the point (3,1)
4 0
3 years ago
Find angle A using sin-1
ki77a [65]

Answer:

75°

Step-by-step explanation:

firstly, use the pythagoras theorem

Square root(8²-2²) = 7.75

Then, use sine

sine A= 7.75/8

Sine A=0.9688

A= (sine power of -1) x (0.9688)

A=75.63

5 0
3 years ago
the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initi
anyanavicka [17]

Answer:

This means that the correct initial value problem for the population p(t) as a function of time is is P(0) = 1000

Step-by-step explanation:

The population of a town increases at a rate proportional to its population:

This means that this situation is modeled by the following differential equation:

\frac{dP}{dt} = kP

In which k is the growth rate.

By separation of variables, the solution is given by:

P(t) = P(0)e^{kt}

In which P(0) is the initial population.

Initial population of 1000.

This means that the correct initial value problem for the population p(t) as a function of time is is P(0) = 1000

5 0
3 years ago
One fourth of a box of cereal was shared equally among 3 people. How much cereal did each person get? Explain how you got your a
Mila [183]
Each person gets 0.083333..... of the box of cereal. i got my answer by dividing 0.25 or 1/4 by three and the answer was 0.083333 repeating.
6 0
3 years ago
Other questions:
  • A puppy and a kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 m/sec, while the kitten c
    7·1 answer
  • Order these numbers from least to greatest , 8.102 , 8.1212 , 8.12 , 8.2
    6·2 answers
  • What is the value of log 62557<br> -4<br> 1<br> 1<br> 4<br> 1<br> O<br> 4<br> o 4
    13·1 answer
  • Write g(n)=2n(3-n)+5 in standard form
    14·1 answer
  • What is the cost of a $290 suit which has been discounted by 30%
    12·1 answer
  • I suck please help!!!!!!!!!!!
    8·1 answer
  • The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st
    5·1 answer
  • X^2-16/x^2-3x-4 simply
    8·2 answers
  • Mathematician involved in the development of percentage​
    12·1 answer
  • Answer the following.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!