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
Alinara [238K]
1 year ago
8

5. In an arithmetic sequence, the fifth term is 44 and the ninth term is 80.(a) Find the common difference. (b) Find the first t

erm. (c) Find the sum of the first 50 terms of the sequence.​
Mathematics
1 answer:
natulia [17]1 year ago
6 0

Step-by-step explanation:

first you should do is that find the common difference which is 9

You might be interested in
An elm tree is 3 1/2 times as an apple tree. The Apple tree is 10 2/3 feet tall. How tall is the elm tree?
Elena L [17]

Answer:

37 1/3

Step-by-step explanation:

10 2/3 * 3.5=37 1/3

8 0
3 years ago
The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and
Alex_Xolod [135]

Earlier in this chapter we have expressed linear equations using the standard form Ax + By = C. Now we're going to show another way of expressing linear equations by using the slope-intercept form y = mx + b.

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.

<span><span>y=mx+b</span><span>y=mx+b</span></span>

Where m is the slope and b is the y-intercept.

Example

Graph the equation

<span><span>y−2x=1</span><span>y−2x=1</span></span>

rewrite in slope-intercept form

<span><span>y=2x+1</span><span>y=2x+1</span></span>

Identify the slope and the y-intercept

m = 2 and b = 1

Plot the point corresponding to the y-intercept, (0,1)

The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)

And once you have your second point you can just draw a line through the two points and extend it in both directions.

You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.

Our second point = (1, 3)

<span><span>y−2x=1</span><span>y−2x=1</span></span>

<span><span>3−2⋅1=3−2=1</span><span>3−2⋅1=3−2=1</span></span>

Our second point is a solution to the equation i.e. the line we drew is correct.

A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.

<span><span>y=mx</span><span>y=mx</span></span>

In a direct variation the nonzero number m is called the constant of variation.

You can name a function, f by using the function notion

<span><span>f<span>(x)</span>=mx+b</span><span>f<span>(x)</span>=mx+b</span></span>

f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.

A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.

The most basic function in a family of functions is called the parent function. The parent function of all linear functions is

<span><span>f<span>(x)</span>=x</span></span>

4 0
3 years ago
A point is reflected in the x- axis. The reflected point is (2,1).
Evgesh-ka [11]

Answer:

A. (2,-1) b:2

Step-by-step explanation:

8 0
3 years ago
Please help me with this question :)​
klio [65]

Answer:

y>5/6

Step-by-step explanation:

5y+3>-7y+13

5y+7y>13-3

12y/12>10/12

y>5/6

This is an inequality, which shows where the variable y does or does not exist

from this we can say

y: (-infinity,5/6) (5/6, infinity]

or, y does not exist from (-infinity,5/6)

and does exist from (5/6, infinity]

3 0
2 years ago
A clerk is marking up merchandise 34%. The original price of an item is $455. What will be the retail price?
Nadusha1986 [10]
To find markup price, multiply the original number (455) by 1 + the decimal equivilent of the percent increase (.34)
so
455*1.34= $609.70
4 0
2 years ago
Read 2 more answers
Other questions:
  • Which domain would be the most appropriate set to use for a
    8·1 answer
  • Mary's ready to start on her green bean casserole! The recipe calls for many different herbs. Which one would she probably NOT u
    10·2 answers
  • Put -4 ,-8,2,0 in order from least to greatest
    7·1 answer
  • The art class lasts 90 minutes. The teacher explains the project for 25 minutes and allows 15 minutes for questions and discussi
    11·1 answer
  • 1.Simplify negative 7 and 1 over 8 − negative 9 and 1 over 2.
    12·1 answer
  • What is the degree measure of x? A) 37° B) 50° C) 62° D) 74°
    7·1 answer
  • What is the length of a rectangle with width 10 in. and area 85 in^(2)
    13·1 answer
  • A penguin walks to feet in 6 seconds how long does it take for him to walk45 seconds
    5·1 answer
  • Is -55 a irrational number​
    9·2 answers
  • #3: Classify the number below. Select all that apply.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!