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3 years ago

Solve by unfolding: a0=2, and, n>=1, a_n=7a_n-1.

1 answer:

6 0

We are told that the first term is 2. The next term is 7(2) = 14; the third term is 7(14) = 98. And so on. So, the first term and the common ratio (7) are known.

The nth term of this geometric series is a_n = 2(7)^(n-1).

Check: What is the first term? We expect it is 2. 2(7)^(1-1) = 2(1) = 2. Correct.

What is the third term? We expect it is 98. 2(7)^(3-1) = 2(7)^2 = 98. Right.<span />

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Negative plus positive=?

grin007 [14]

If you are adding a positive number to negative number. You are just bringing the negative number closer to zero, if not above zero.
Examples:
-1+1=0
-2+1=-1
-3+1=-2
-4+1=-3

7 0

3 years ago

20 POINTS AND BRAINLIEST !! PLEASE ANSWER THIS QUESTION !!

Elenna [48]

A
(X-7)(x-4) -> x^2 -11x + 28
Multiply that by the 2 and you get the original equation!

5 0

4 years ago

How do you do this one?

tankabanditka [31]

Your answer is correct... $i^2=-1$ , so

$(3+i)(i^2+8i-2)=(3+i)(-3+8i)$

Then distributing $3+i$ to both terms on the right gives

$(3+i)(-3)+(3+i)(8i)=(-9-3i)+(24i+8i^2)=-9-3i+24i-8=-17+21i$

7 0

4 years ago

oksian1 [2.3K]

Answer:

$t= 6\ s$

Step-by-step explanation:

We know that the equation that models the height of the ball as a function of time is $h(t) = -16t ^ 2 + 80t + 96$ .

Where the initial speed is 80 feet.

When the ball lands on the ground, its height will be $h(t) = 0$ .

So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.

$-16t ^ 2 + 80t + 96 = 0$

To solve this quadratic equation we use the quadratic formula.

For an equation of the form:

$at^2 +bt +c$

The quadratic formula is:

$t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}$

In this case

$a =-16\\b = 80\\c =96$

Then

$t=\frac{-80\±\sqrt{80^2 -4(-16)(96)}}{2(-16)}$

$t_1=-1\\\\t_2=6$

We take the positive solution

$t= 6\ s$

7 0

3 years ago

Read 2 more answers

ms rodriguez has 24 students in her class room. 10 of the students are boys. Jeff claims that the ratio of boys to girls must be

nignag [31]

Answer:

The answer instead is 10:14.

Step-by-step explanation:

In this case, there are ten boys and fourteen girls in this class. The ration would then be 10:14. Instead, Jeff said 5:12 which isn't correct. He can correct it by using the number of boys given, find the difference of girls in a class of twenty-four students, and then get his answer!

8 0

2 years ago