Describe the multiplication pattern and find the next two terms. 25; 100; 400; 1600; 6400; . . .

A.The first term is 25. Each term is multiplied by 5. The next 2 terms are 32,000 and 160,000.

B.The first term is 25. Each term is multiplied by 4.
The next 2 terms are 25,600 and 102,400.

C.The first term is 25. Each term is multiplied by 4.
The next 2 terms are 2560 and 10,240.

D.The first term is 25. Each term is multiplied by 5.
The next 2 terms are 3200 and 16,000.

Answers

Answer 1

Answer: Answer is B

25 × 4 = 100
100 × 4 = 400
400 × 4 = 1600
1600 × 4 = 6400
6400 × 4 = 25600
25600 × 4 = 102400

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Which strategie would eliminate a variable in the system of equations? −x+6y=8 7x−y=−2

Answers

Answer:

substitution (or addition)

Step-by-step explanation:

A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:

x = 6y -8

7(6y -8) -y = -2 . . . . . x variable eliminated

The second equation is easily solved for y, so you could substitute that into the first equation.

y = 7x +2

-x +6(7x +2) = 8 . . . . . y-variable eliminated

The "addition" method is always a good way to eliminate a variable.

When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.

To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:

7(-x +6y) +(7x -y) = 7(8) +(-2)

42y -y = 56 -2 . . . . . . x-variable eliminated

Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:

(-x +6y) +6(7x -y) = (8) +6(-2)

-x +42x = -4 . . . . . . . . y-variable eliminated

It is often the case that using either substitution or "addition" requires about the same amount of work.

Here, the solutions are (x, y) = (-4/41, 54/41).

Final answer:

To eliminate a variable in the given system of equations, you can use the elimination method. By multiplying the equations by suitable numbers and adding them, you can cancel out one of the variables, simplifying the process to solve for the other variable.

Explanation:

You can eliminate a variable in the given system of equations: −x+6y=8 and 7x-y=−2 by using either the substitution method or the elimination method. For this scenario, the elimination method will work best.

Strategy:

To eliminate x, you should first multiply the first equation by 7 and the second by 1, resulting in the equations: -7x+42y=56 and 7x-y=-2
Adding these two equations together, the x terms (-7x and 7x) cancel out, giving us: 41y=54.
Finally, you divide both sides by 41 to solve for y. This process effectively eliminates the variable x from the equation, providing a solution for y.

This variable eliminationstrategy lets you solve one equation for one variable, simplifying the process of finding solutions for a system of equations.

Learn more about Variable Elimination here:

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Which statement is true about a line and a point? A point and a line have length as a dimension to measure.

A point is a location and a line has many points located on it.

A line and a point cannot lie on the same plane.

A line and a point cannot be collinear.

2. Trisha drew a pair of line segments starting from a vertex.

Which of these statements best compares the pair of line segments with the vertex?

The line segments and the vertex have length as a dimension of measurement and there are three collinear points on each.

Line segments and the vertex have two endpoints each and the distance between the end points is their dimension.

Line segments have two endpoints and a vertex is a common endpoint where two line segments meet.

The line segments and the vertex have their lines extending in one direction only and the lengths of both are infinite.

Answers

1. The statement that is true about a line and a point is a point is a location and a line has many points located on it.
2. The statement that best compares the pair of line segments with the vertex is that line segments have two endpoints and a vertex is a common endpoint where two line segments meet.

Solve 3(x-4)= -5 for x.

Answers

Answer:

x= 7/3 (fraction)

Step-by-step explanation:

If you plug it in it will work

Please help i really need it

Answers

We are given
Revenue, g(x) = 2300x+1235, and
expenses, f(x) = 1600x+2385

We know that
profit = Revenue - expenses
=g(x)-f(x)
=2300x+1235 - (1600x+2385)
=2300x+1235 - 1600x - 2385
=2300x- 1600x +1235 -2385
=700x - 1150

You will need to move the numbered tiles into the answer boxes.

Four times a number, x, plus five times a number, y, equals 79. Ten times x minus 5 times y equals 5. Find the numbers by setting up a system of linear equations and solving the system using the elimination method.a) x = 7, y = 9
b) x = 6, y = 11
c) x = 8, y = 10
d) x = -10, y = 7

Answers

the correct answer is X=6 & Y=11

gary buys a 3 1/2 pound bag of cat food every three weeks. gary feeds his cat the same amount of food each day. which expression can gary use to determine the number of pounds of cat food his cat eays each year?

Answers

3 1/2
x365
Write that down and figrue it its pretty simple.

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