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2 years ago

If the sequence below is a geometric sequence then what will the next two numbers in the sequence be? Sequence: 3, 9,…

Mathematics

1 answer:

Aliun [14]2 years ago

7 0

Answer: 27,81

Step-by-step explanation:

First you do 3*3=9

9*3=27

27*3=81

So the sequence will be 3,9,27,81

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Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin

Natasha_Volkova [10]

The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

Learn more about the inequality here:

brainly.com/question/19491153

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7 0

1 year ago

X - y = 6

Dominik [7]

the system has no solution.

Option C is correct.

Step-by-step explanation:

We need to solve the system of equations by substitution

$x - y = 6\,\,\,eq(1)\\x = y + 2\,\,\,eq(2)$

Putting value of x from eq(2) into eq(1)

$(y+2)-y=6\\y+2-y=6\\0+2=6\\0=6-2\\0\neq4$

As as 0≠4is not true, we cannot find the value of y so the system has no solution.

Option C is correct.

Keywords: System of equations

Learn more about system of equations at:

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4 0

2 years ago

Dividing Polynomials with Tables Isiah is dividing 2x3 - x2 + 2x + 5 by x + 1 using a division table. His work is shown here. Wh

lukranit [14]

Answer:

Step-by-step explanation:

We are asked to find the value of A. We know from the question that we need to have the sum of -3x and (A)x equal the third term of the original polynomial, which is 2x. written out in an equation, it looks like this.

$-3x+(A)x=2x$

We can simplify the equation if we add 3x to both sides, which then leaves us with this.

$(A)x=5x$

We can further simplify the equation by dividing both sides by x. This leaves us with our last equation for this problem.

$A=5$

Finally, we have our answer. We can also verify that this is a valid integer by multiplying our, now completed, quotient by the divisor and adding the remainder, which in this case, our remainder is 0, so we will not be including it in our operation.

$(x+1)(2x^{2}-3x+5)$

If our calculations were all correct, the product of these polynomials should equal our dividend, verifying our integer is valid; lo' and behold, it is.

$2x^{3}-x^{2}+2x+5$