2x+6y=5x+3y=2
how many solutions (x,y) are there to the system of equations above ?
a none
b one
c two
d more than two
please explain how u know

Answers

Answer 1

Answer:

Option B. one.

How do you know how many solutions a system of equations has?

A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R, a, and b ≠ 0. When we consider a system of linear equations, we can find the number of solutions by comparing the coefficients of the variables of the equations.

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Answer 2

Answer: 0 if false therefore it has no solutions

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Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of elevation of 32. At the same time, the pilot radios Charlie and reports the plane’s altitude is 1,700 feet. Charlie’s eyes are 5.2 feet from the ground.
How did the Missouri Compromise keep peace between the North and South?
If there are 40 games and the team scored 1.4 goals in their games how many goals did they score?
How many 2/3 are in 6
Write an expression that is equivalent to 5(t+3) .

Stephanie is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∩ B.{1,3,5,7,9,11}
{1,3,9}
{3,9}
{3,9,12}

Answers

The outcomes of rolling two cubes are shown in the table below (the outcomes is added up). The members of A are circled while the members of B are boxed. The members of A that also members of B is both circled and boxed.

P(A) = {3, 5, 7, 9, 11}
P(B) = {3, 6, 9, 12}
P(A∩B) = {3,9}

The intersection between the sets are the values that are common to both sets that is {3, 9}

What are sets?

Sets are arrangement of values of elements in a specified way.

Given the following sets

A = {1, 3,5, 7, 9, 11}

B = {3, 6, 9,12}

The intersection between the sets are the values that are common to both sets, hence;

A ∩ B = {3, 9}

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What a^2-2a-3=0 by solving equations by completing the square

Answers

$a^2-2a-3=0\na^2-2a+1-4=0\n(a-1)^2=4\na-1=-2 \vee a-1=2\na=-1 \vee a=3$

Two sides of a triangle measure 8 cm and 15 cm. which could be the length of the third side?

Answers

something grater than 23.

Answer:28

Step-by-step explanation:

A coin is to be tossed until a head appears twice in a row. What is the sample space for this experiment? If the coin is fair, what is the probability that it will be tossed exactly four times?

Answers

Answer: $(2)/(16)$

Step-by-step explanation:

if the coin is tossed four times then the possible sample space is formed

$S=\left \{ HH, THH, HTHH, TTHH, HTTHH, THTHH, TTTHH, ...\right \}$

For the probability that the coin is tossed only four times is when

For tossing four times sample space is

S=( HHHH HHHT HHTH HHTT

HTHH HTHT HTTH HTTT

THHH THHT THTH THTT

TTHH TTHT TTTH TTTT )

out of the above required ones are HTHH,TTHH

so the probability is $(2)/(16)$

Jamal has a plan to save money for a trip. Today, Jamal deposits $10.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account.Let f(x)represent the amount of money Jamal deposits into his savings account at the end of x weeks. Based on the table, what is f(10)?

Answers

Answer:

y = 5x + 10

Step-by-step explanation:

using the formula y = mx + b you can easily find the answer.

where

m = the rate of change

b = constant

x = the independent variable

Since he has the initial $10.00 added to the account, we know that is the constant since he won’t be adding that anymore.

Since he will be adding $5.00 to the account every month we know that this is the rate of change.

the variable x will change depending on the number of months passed.

Therefore we can create the equation:

y = 5x + 10

Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 9t + 9 cot(t/2), [π/4, 7π/4]

Answers

Final answer:

The absolute maximum and minimum of a function on a given interval can be found by calculating the function's critical points and evaluating the function at these points and the interval endpoints, then comparing these values.

Explanation:

In order to find the absolute maximum and absolute minimum values of a function on a given interval, you must first find the critical points of the function within the interval. Critical points occur where the derivative of the function is equal to zero or is undefined. In this case, the derivative of f(t) = 9t + 9 cot(t/2) is f'(t) = 9 - (9/2) csc2(t/2). Set this to zero and solve for t to find the critical points. Additionally, the endpoints of the interval, π/4 and 7π/4, could be the absolute maximum or minimum, so these should be evaluated as well. Once you have found the values of the function at these points and the endpoints, compare them to determine the absolute maximum and minimum values.

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Final answer:

To find the absolute maximum and minimum values of a function, we find the critical points and endpoints. Evaluating the function at these points gives the maximum and minimum values.

Explanation:

To find the absolute maximum and absolute minimum values of a function on a given interval, we need to find the critical points and endpoints of the interval.

To find the critical points of f, we need to find where the derivative of f is equal to zero or undefined. The derivative of f(t) = 9t + 9cot(t/2) is f'(t) = 9 - 9csc^2(t/2).

Setting f'(t) = 0, we have 9 - 9csc^2(t/2) = 0. Solving this equation, we get csc^2(t/2) = 1, which means sin^2(t/2) = 1. This gives us sin(t/2) = ±1. The critical points occur when t/2 = π/2 or t/2 = 3π/2. Solving for t, we get t = π or t = 3π as the critical points.

The endpoints of the interval are π/4 and 7π/4.

Now we evaluate the function f at the critical points and endpoints:

f(π/4) = 9(π/4) + 9cot(π/8) ≈ 6.566
f(π) = 9π + 9cot(π/2) = 9π
f(3π) = 9(3π) + 9cot(3π/2) = 27π
f(7π/4) = 9(7π/4) + 9cot(7π/8) ≈ 46.607

From these evaluations, we can see that the absolute maximum value occurs at t = 7π/4 and is approximately 46.607, while the absolute minimum value occurs at t = π/4 and is approximately 6.566.