1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ddd [48]
3 years ago
7

-18,-13,-8,-3,.... Find the above sequential formula

Mathematics
1 answer:
zhuklara [117]3 years ago
5 0

The first term (a) is - 18

You add 5 to get to the next term. Or you can solve it by taking any 2 consecutive terms and find their difference.

Formula

d = t4- t3

Givens

t4 = - 3

t3 = - 8

Solution 1

d = t4 - t3             Substitute

d = -3 -  ( - 8)        Remove the brackets

d = -3 + 8             Combine  

d = 5                    Difference

Remark

Find the general formula

tn = - a + (n - 1)d      Substitute

So term 20 =           Example    

t20 = -18 + (20 - 1)*5 Combine the inside of the brackets. Remove the brackets

t20 = - 18 + 19*5          Combine 19 and 5          

t20 = -18 + 95              "Subtract"

t20 = 77                        Answer

You might be interested in
Joe drove 530 miles in hours 15 minutes. What was his average speed pee hour?
scZoUnD [109]
530 divided by 15 is 35.3
4 0
3 years ago
Solve by graphing <br><br> u=v and 6u=2v-24
Vadim26 [7]

Answer:

u=-6 \\ \\ v=-6

Step-by-step explanation:

In this exercise, we have two equations, namely:

u=v \ and \ 6u=2v-24

And we are asked to solve this problem by graphing. In this way, we can write a system of linear equations in two variables, but first of all, let's rewrite:

u=y \\ \\ v=x

Then:

\left\{ \begin{array}{c}y=x\\6y=2x-24\end{array}\right.

So here we have two lines.

The first one is:

\boxed{y=x}

This line passes through the origin and has a slope m=1

The second one is:

6y=2x-24 \\ \\ \therefore y=\frac{2x-24}{6} \\ \\ \therefore \boxed{y=\frac{1}{3}x-4}

This line has a slope m=\frac{1}{3} and cuts the y-axis at b=-4

By using graph tools, we get the graph shown below, then:

x=-6 \\ \\ y=-6 \\ \\ \\ Since \ u=y \ and \ v=x, then: \\ \\ u=-6 \\ \\ v=-6

8 0
3 years ago
A boutique prices merchandise by adding 80% to its cost. It later decreases by 25% the price of items that do not sell quickly
Darya [45]
A. Write a function f(x) to represent the price after the 80% markup. 
<span>b. Write a function g(x) to represent the price after the 25% markdown. </span>
<span>c. Use a composition function to find the price of an item after both price adjustments that originally costs the boutique $150. </span>
<span>d. Does the order in which the adjustments are applied make a difference? Explain. 
</span>
answers 

 <span>a) f(x) = 1.8x 

b) f(x) = 0.75(1.8x) 

c) f(150) = 0.75(1.8(150) = $202.50 

d) No, it doesn't matter. The result is the same.
</span>
8 0
3 years ago
A piece of land is to be fenced and subdivided as shown so that each rectangle has the same dimensions. Express the total amount
posledela
13x plus 27 is the algebraic expression.
4 0
4 years ago
Read 2 more answers
What is the greatest common factor of 56 and 21
bonufazy [111]
21 factors: 1,3,7,21
56 factors: 1,2,4,7,8,14,28,56
7 is your GCF

6 0
4 years ago
Other questions:
  • Calvin's rug covers 1/8 of the floor space in his bedroom how much floor space would be covered if Calvin had four rugs of that
    6·2 answers
  • Round the answer to the nearest tenth 4.44 and 10.47
    9·1 answer
  • Which expressions are differences of squares?
    8·1 answer
  • What are the coordinates of (2,3) after a translation of 2 units left and then a rotation of 90 in a counterclockwise rotation a
    14·1 answer
  • The product of x and 3 is greater than it equal to -28
    14·2 answers
  • Please help, it’s urgent
    9·1 answer
  • (A/N If you don't know please don't answer. I need this for extra credit)
    5·1 answer
  • Which of the following is the solution to the system of linear equations<br> x=2y + 5 x/3-y=4/3
    7·2 answers
  • If you know the answer to this question please help!! ASAP I will give brainiest! Fr
    12·1 answer
  • It is 2.8km from David’s house to the nearest mailbox. How far is it in meters?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!