Which of the following ordered pairs represents the solution to the system given below? x − 4y = 7
5x + 9y = 6

Answers

Answer 1

Answer: x − 4y = 7
5x + 9y = 6

5x − 20y = 35 //1st * 5
5x + 9y = 6

5x +9y - 5x + 20y = 6 - 35 //2nd - 1st
5x + 9y = 6

29y=-29
5x=6-9y

y=-1 //1st : 29
5x=6-9*(-1)

y=-1
x=15:5 //2nd : 5

y=-1
x=3

check:
for x=3 and y=-1 there is:
x − 4y = 7 is 3 − 4*(-1) = 7 is 7=7 ok
5x + 9y = 6 is 15-9=6 is 6=6 ok

answer: (3;-1) represents the solution.

Answer 2

Answer:

It’s 3,-1

Step-by-step explanation:

You have to plug in the points u can use a calculator or work it by hand but I did it on the calculator and that’s what I got

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Solve the equation by completing the square x^2 - 7x - 4 = 0 A. 7.53, -0.53 B. -7.53, -0.53 C. -7.53, 0.53 D. 7.53, 0.53
Which statistic can be used to determine the probability of variances occurring? a. Binomial Statistic b. Poisson Statistic c. Moving Average Statistic d. Chi-Square statistic

Determine which proportion is a true statement

Answers

B is the correct answer.

To find the answer, cross multiply and the left side should equal the right side if it is a true statement.
Letter B is the correct answer because when you cross multiply you get 165=165

Functions 1 and 2 are shown below:Function 1: f(x) = −3x2 + 2
A graph of a parabola with x intercepts of negative 0.5, 0 and 2, 0 and a vertex of 0.5, 4 is shown.

Which function has a larger maximum? Type your answer as 1 or 2.

Answers

Answer:

The function 2 has a larger maximum.

Step-by-step explanation:

The vertex form of the parabola is

$f(x)=a(x-h)^2+k$ .... (1)

Where, (h,k) is the vertex.

The given functions are

$f(x)=-3x^2+2$ ..... (2)

Since the leading coefficient is negative, therefore it is a downward parabola. It means the vertex of the parabola is the maximum point.

On comparing (1) and (2), we get

$h=0,k=2$

Therefore the maximum value of the function is 2 at x=0.

The second function has x intercepts of (-0.5, 0) and (2, 0) and a vertex of (0.5, 4).

It is also a downward parabola because the parabola has two x-intercepts and the vertex lies above the x-axis.

Since the vertex is (0.5, 4), therefore the maximum value of the function is 4 at x=0.5.

$Maximum(F_1)=2$

$Maximum(F_2)=4$

Therefore function 2 has a larger maximum.

Answer:

the anwser is 2 guys. i got it correct

Samy recorded the number of different types of pets his friends have in the table shown below:Cats 3
Dogs 5
Rabbits 1
Guinea Pigs 3

Which of the following plots represents the data in the table?

Answers

The first choice is correct because the number of crosses against the pets is equal to its actual quantity.

Answer:

Step-by-step explanation:

Which is an expression to find the speed in m/s? d = 100 m, t = 20 s

A. 100 - 20

B. 100 + 20

C. 100/20

D. 100 x 20

Answers

C. 100/20
This is because the formula to finding speed is distance divided by time.

Answer:

100/20

Step-by-step explanation:

Uses of partial fraction in daily life

Answers

Uses of partial fraction in daily life consist of money and other uses may consist of food portions and also weighing kilos grams and ounces

Final answer:

Partial fractions are used in numerous aspects of everyday life, especially in fields requiring mathematical calculations. This includes engineering, calculus, computer science, signal processing, and electrical circuits. While we may not directly observe their use, their applications make many of our daily operations possible.

Explanation:

The concept of partial fractions is widely used in numerous aspects of our daily life, especially in fields that require mathematical calculations. Partial fractions make complex mathematical processes simpler and easier to solve.

For instance, in the field of engineering, partial fractions are used to simplify complex fractions in control system design, particularly in Laplace Transform. Moreover, it's also used in calculus to integrate rational functions.

In the realm of computer science, partial fractions can assist with algorithm efficiency when dealing with fractions or rational numbers. They are also used in signal processing and electrical circuits, which are a major part of our daily life as most electronics operate on these principles.

In everyday life, the use of partial fractions might not be directly observed but their applications in various fields make many of our daily life operations and technologies possible.