3 years ago

Simplify this problem

Mathematics

1 answer:

Ksju [112]3 years ago

3 0

Hope this helps u....!!

You might be interested in

Suppose an=3an-1 -5an-2 -4an-3. and a4= -7, a5=-36, a6=-85 , find a1 , a2, a3

maria [59]

Answer:

$a_1=4\\\\a_2=0\\\\a_3=3$

Explanation:

The equation is:

$a_n=3a_{n-1}-5a_{n-2}-4a_{n-3}$

and

$a_4=-7, a_5=-36, a_6=-85$

1. Subsittute n = 6 into the equation:

$a_6=3a_{5}-5a_{4}-4a_{3}$

Now subsititute the known values:

$-85=3(-36)-5(-7)-4a_{3}$

You can solve for $a_3$

$-85=-108+35-4a_{3}\\\\4a_3=12\\\\a_3=12/4\\\\a_3=3$

2. Substitute n = 5 into the equation:

$a_5=3a_{4}-5a_{3}-4a_{2}$

Substitute the known values and solve for $a_2$

$-36=3(-7)-5(3)-4a_{2}\\\\4a_2=-21-15+36=0\\\\a_2=0$

3. Substitute n = 4 into the equation, subsitute the known values and solve for $a_1$

$a_4=3a_{3}-5a_{2}-4a_{1}$

$-7=3(3)-5(0)-4a_{1}\\\\4a_1=9+7=16\\\\a_1=4$

7 0

3 years ago

One bus averages 55 mi/h and the other bus averages 45 mi/h. when will they be 400 mi. apart?

aliya0001 [1]

They will be 400 miles apart in 4 hours.

4 0

3 years ago

When solving this equation: -16 + x = -15 we start with adding 16 to both sides. Why do we use addition?

Ierofanga [76]

Answer:

So you can cancel out the 16. See, the -16 is negative, and if we add +16 to it, then it cancels out and is 0. That way, you have x=1.

Step-by-step explanation:

-16x+x=-15

+16x +16

0+x=1

x=1

6 0

3 years ago

I am having trouble figuring out this problem. I believe the answer is (0,7) but I am not sure.

AleksandrR [38]

It is (0,7).

7(cos(pi/2)+isin(pi/2))

7i which is (0, 7)

7 0

3 years ago

1/3 of a number decreased by 13 equals 45

mezya [45]

Answer:

174

Step-by-step explanation:

45+13=58

58*3

6 0

3 years ago