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3 years ago

Write a formula for the nth term of the arithmetic sequence

Mathematics

1 answer:

den301095 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

$a_{1}=1\\d=-3-1=-4\\a_{n}=a_{1}+(n-1)d\\a_{n}=1+(n-1)(-4)\\a_{n}=1-4n+4\\a_{n}=5-4n$

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How do you factor these?

valina [46]

Hi there!

24. 6x² + 19x + 3
1 3 multiply 6 × 3 = 18
6 1 multiply 1 × 1 = 1
18 + 1 = 19
(x + 3)(6x + 1)

I just simply found the two factors of 6 and 3 that can add up to 19.
This way is useful when the a and c don't have much factors.

27. 5y² + 13y + 6
1 2 5 × 2 = 10
5 3 1 × 3 = 3
10 + 3 = 13
(x + 2)(5x + 3)

30. 16x² + 16x + 3
For this one, 16 has a lot of factors. So you can try "Grouping" method.
You multiply 16 and 3. 16 × 3 =48
Find the factors of 48 that can add up to 16.
Hmm.. 12 and 4 would be great.
Then rewrite the equation.

16x² + 12x + 4x + 3
We would factor 16x² + 12x and 4x + 3 separately.
16x² + 12x 4x + 3 can't be factored more.
4x(4x + 3) 1(4x + 3)
(4x + 1)(4x + 3)

So your answers are....
24. (x + 3)(6x + 1)

27. (x + 2)(5x + 3)

30. (4x + 1)(4x + 3)

Hope this helped!!

6 0

4 years ago

Solve the system using substitution. <br><br> 5x-y=75<br> 3y=x

musickatia [10]

5(3y)-y=75 -> 15y-y=75 -> 14y= 75 -> y= 75/14

3(75/14)=x -> x= 225/14 and y= 75/14

I'm completely wrong but i tried

6 0

3 years ago

A chemical spill is leaking into a river flowing 2 3/4 miles per hour. How long will it take the chemicals to reach a town locat

ExtremeBDS [4]

Answer:

$6\frac{3}{11}=6.27$ hours.

Step-by-step explanation:

We have been given that a chemical spill is leaking into a river flowing 2 3/4 miles per hour.

To find the time taken by chemical to reach the town we will divide distance of town from the spill by distance covered by chemical spill in one hour.

$\text{Time taken by chemical to reach the town}=17\frac{1}{4} \div 2\frac{3}{4}$

Upon converting our mixed fractions into improper fractions we will get,

$\text{Time taken by chemical to reach the town}=\frac{69}{4} \div \frac{11}{4}$

Dividing a fraction with another fraction is same as multiplying first fraction by the reciprocal of second fraction.

$\text{Time taken by chemical to reach the town}=\frac{69}{4}\times \frac{4}{11}$

After cancelling out 4 we will get,

$\text{Time taken by chemical to reach the town}=\frac{69}{11}$

$\text{Time taken by chemical to reach the town}=6\frac{3}{11}$

$\text{Time taken by chemical to reach the town}=6.272727\approx 6.27$

Therefore, it will take the chemicals $6\frac{3}{11}=6.27$ hours to reach the town.

5 0

3 years ago

Select the correct answer. two triangles, abc and cde, share a common vertex c on a grid. in triangle abc, side ab is labeled 4x

LekaFEV [45]

The value of x based on the information given in the triangle is D. x = 1.

<h3>How to compute the value?</h3>

From the information given, it stated that the triangles are similar.

In this case, both triangles have side 4 and 5. Therefore, we are to find the last side. This will be:

4x - 1 = x + 2

Collect like terms

4x - x = 2 + 1

3x = 3

x = 3/3

x = 1

Therefore, the correct option is D.

Learn more about triangles on:

brainly.com/question/1058720

#SPJ1

4 0

2 years ago

Write 2/4 in simplest form

Bas_tet [7]

Divide both sides by their LCD, 2

2/4 = 1/2

1/2 is irreducible

8 0

3 years ago