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1 year ago

In a geometric sequence, a2 = 2, a3 = 20, & a4 = 200.

Mathematics

1 answer:

babymother [125]1 year ago

5 0

Answer:

the first one

the first one Step-by-step explanation:

the first one Step-by-step explanation:from the formula Un =ar^n-1

where a is 2

where a is 2 r = 20/2=10

where a is 2 r = 20/2=10 so Un= 10×2^n-1

that's all.....have fun

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Simplify the expression below 3x+2 -3x+7 +5x

spin [16.1K]

6x + 9

First, simplify x

3x + -3x + 5x = 6x

Then, simplify the rest of the numbers:

2 + 7 = 9

Then make the equation:

6x + 9

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2 years ago

Express p in terms of q if

Irina-Kira [14]

$p=x^2+\dfrac{1}{x^2}\\\\p=\dfrac{x^4}{x^2}+\dfrac{1}{x^2}\\\\p=\dfrac{x^4+1}{x^2}\qquad(*)$

$q=x+\dfrac{1}{x}\\\\q=\dfrac{x^2}{x}+\dfrac{1}{x}\\\\q=\dfrac{x^2+1}{x}\qquad\text{square both sides}\\\\q^2=\left(\dfrac{x^2+1}{x}\right)^2\\\\q^2=\dfrac{(x^2+1)^2}{x^2}\qquad\text{use}\ \ (a+b)^2=a^2+2ab+b^2\\\\q^2=\dfrac{(x^2)^2+2(x^2)(1)+1^2}{x^2}\\\\q^2=\dfrac{x^4+2x^2+1}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+\dfrac{2x^2}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+2\qquad\text{subtract 2 from both sides}\\\\q^2-2=\dfrac{x^4+1}{x^2}\\\\\text{From (*) we have}\\\\\boxed{p=q^2-2}$

8 0

2 years ago

The graph shows the number of chairs made in a factory during one day .

GaryK [48]

Answer:

C) the factory produces 25 chairs per hour

Step-by-step explanation:

Let's find the rate of change (slope):

$let:\\(x1,y1) =(2,50)\\(x2,y2)=(4,100)\\m=\frac{100-50}{4-2} =\frac{50}{2} =25 \\$

7 0

2 years ago

Need help with 9 please

Debora [2.8K]

Answer:

x = 5

y = 1

Step-by-step explanation:

So move 2y from the second equation to the other side of the equals sign

2x +3y = 13

x = 3 + 2y

From here substitute X into the first equation

2(3 + 2y) + 3y = 13

Distribute

6 + 4y +3y = 13

Combine like terms and solve for y

7y = 7

y = 1

insert result into the original equation.

x-2(1) = 3

x - 2 = 3

x = 5

insert into other equation to check work

2(5) + 3(1) = 13

10 + 3 = 13 correct

6 0

2 years ago

11. Maria's age is 3 years more than twice George's age. Which expression represents George's age in terms of Maria's?

leonid [27]

Answer:

Step-by-step explanation:

Okay, the catch of this question is that they do a very good job of explaining Maria's age in terms of George's age, but they leave George's age in terms of Maria's all up to you.

First start off by doing an expression of what they explicitly give you. Maria's age in terms of George's age.

Let's use variables g, representing George's age and m representing Maria's age

m = 2g + 3

Okay, this is all dandy and all, but they ask us for George's age in terms of Maria's, so we need to isolate for g.

subtract the 3 from both sides, like so:

m - 3 = 2g

then divide 2 from both sides: (remember we're dividing the whole thing)

(m-3)/2 = g

Now we have an expression for George's age in terms of Maria's.

g = (m-3)/2 or $g = \frac{m-3}{2}$

The answer that gives us this, is C.

6 0

1 year ago