Rewrite each explicit formula in the form of a function.
Part A
an= 19 - 7(n-1)
f(n) =
Part B
an= 1.5 +4.2 (n - 1)
f (n) =
Answer:
[tex]f(n) = 26- 7n[/tex] --- (a)
[tex]f(n) = 5.7- 4.2n[/tex] ---- (b)
Step-by-step explanation:
Given
[tex]a_n = 19 - 7(n-1)[/tex]
[tex]a_n = 1.5 - 4.2(n-1)[/tex]
Required
Rewrite as a function
[tex]a_n = 19 - 7(n-1)[/tex]
Rewrite
[tex]f(n) = 19 - 7(n-1)[/tex]
Open bracket
[tex]f(n) = 19 - 7n+7[/tex]
Collect Like Terms
[tex]f(n) = 19 +7- 7n[/tex]
[tex]f(n) = 26- 7n[/tex]
[tex]a_n = 1.5 - 4.2(n-1)[/tex]
Rewrite
[tex]f(n) = 1.5 - 4.2(n-1)[/tex]
Open bracket
[tex]f(n) = 1.5 - 4.2n+4.2[/tex]
Collect Like Terms
[tex]f(n) = 1.5 +4.2- 4.2n[/tex]
[tex]f(n) = 5.7- 4.2n[/tex]
in the expression -12+m-9m+13, name the coefficients
Answer:
-12
1
9
13
Step-by-step explanation:
its just the numbers in front of the variables
The model has 75 of 100 parts shaded to represent 0.75.
A model divided into 100 parts. 75 are shaded gray.
Amena models the solution to 0.75 – 0.20 by shading in black each of the parts she is subtracting from 0.75. Which models the solution?
A model divided into 100 parts. 75 are shaded gray. 2 are shaded black.
A model divided into 100 parts. 75 are shaded gray. 20 are shaded black.
A model divided into 100 parts. 55 are shaded gray. 20 are shaded black.
A model divided into 100 parts. 73 are shaded gray. 2 are shaded black.
Answer:
A model divided into 100 parts. 75 are shaded gray. 2 are shaded black.Step-by-step explanation:
i used a calculator to divide it by 75 witch gave me .75
A satellite radio company charges a one time fee of $36 for installation. The company also charges $42 per month for use. based upon this information complete this table showing the total cost of using the satellite radio after each month listed.
Answer:
Table shown below
Step-by-step explanation:
Linear Modeling
It consists of finding and using the equation of a line to represent the behavior of a real situation in numerical terms.
We are given the model of the charges for a satellite radio company that charges a fixed fee of $36 for installation and a variable fee of $42 per month for use.
The model is written as:
C(m) = 36 + 42m
Where m is the number of months.
For m=1:
C(1) = 36 + 42(1)=$78
For m=2:
C(2) = 36 + 42(2)=$120
For m=3:
C(3) = 36 + 42(3)=$162
For m=4:
C(4) = 36 + 42(4)=$204
For m=5:
C(5) = 36 + 42(5)=$246
The calculations are resumed in the table shown below.
Find the unit rate.
6,840 customers in 45 days.
UNIT RATE:
customers per day.
Answer:
152
Step-by-step explanation:
6840 divided by 45 is 152
A roll of nickels is worth $2.00. Write and solve an equation to determine the number of nickels in a roll.'
ASAPPPPPPPP
Who likes anime??
I like anime♀️......
Answer:
Me too
Step-by-step explanation:
Answer: i like anime
Help please! Thanks, will give brainliest if correct. Answer only if you know this.
Answer:
The answer is 0.20
Step-by-step explanation:
Answer: 0.20
Step-by-step explanation:
A. y = 8 − 7x
B. y = 7x + 8
C. y = 7x − 8
D. y = 8x − 7
Answer:
I'm getting
y=-7x+8
The 7 is negative for me..You should maybe try yourself too and see what you get I might have made a mistake
Step-by-step explanation:
I'm guessing you live somewhere in the U.S. so I'll use the equation you use there
Equation:
[tex]y = mx + b[/tex]
[tex]m = \frac{y1 - y2}{x1 - x2} [/tex]
first pick two points
I'll pick (0,8) and (1,1)
[tex]m = \frac{8 - 1}{0 - 1} = \frac{7}{ - 1 } = - 7[/tex]
this means that the slope is -7
So far the equation will look like this
[tex]y = - 7x + b[/tex]
to get b pick one point, I'll pick (0,8) and replace y and x
[tex]8 = - 7 \times 0 + b[/tex]
when you solve this you'll get b
[tex]b = 8[/tex]
So the equation will look this
[tex]y = - 7x + 8[/tex]
I’ll give brainley , pleaseee helppp
Answer:
Vertical Stretch & horizontal translation
Step-by-step explanation:
the vertical stretch makes the line bigger
Horizontal translation will move the shape 2 left of the x axis
Answer:
Srry bro its way to blurry for me to read... Also dont show your password to randoms.
Step-by-step explanation:
Harold and his friend Bill each collect vintage action figures. Harold already has 18
action figures and adds 3 more figures to his collection each month. Bill already has 24
action figures and adds 2 more to his collection each month. Let x represent the
number of months, and y represent the number of action figures. Which equations can
be used to find how long it will take before the friends each have the same number of
action figures?
Answer:
6 months
Step-by-step explanation:
Please help me with this homework
Answer:
5. y= -2x+4
6. y= 1/3x-3
7. y= -5/2x+8
8. y= 3/4x+3
Step-by-step explanation:
these are the answers if you want me to explain tell me!
Find the measure of each angle indicated
Answer:
C) 114
Step-by-step explanation:
41 + 73 = x
114 = x
Please help me!!! will give brainliest
Answer:
7 1/3
Step-by-step explanation:
Answer:
7 1/3
Step-by-step explanation:
two negatives equal a positive.
new answer:
1 2/3 + 5 2/3= 7 1/3
5+1= 6
2/3+2/3= 1 1/3
6+ 1 1/3= 7 1/3
7 1/3 is your answer.
Hope this helped! (ノ◕ヮ◕)ノ*:・゚✧
have a nice day! ( ゚д゚)つ Bye
all you need is in the photo
please answer step by step
The cost of dinner for Lorenzo and his 3 friends was $45.96.
Part A. How much did each person pay if they shared the cost equally?
Part B. Write an equation to model the solution to the problem.
Enter the correct answers in the boxes.
A. $ =
B. Equation =
Answer:
The friends split the bill at 15.32$
Step-by-step explanation:
So to find how much each paid you would take the bill total and divide it by the amount of people in this case three
And for the equation it would be 45.96/3=15.32$
The equation to model the solution to the problem would be; 3x = 45.96. the friends split the bill at 15.32 dollars.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.
Given that the dinner for Lorenzo and his 3 friends costs $45.96.
To determine how much each paid would take the bill total
Therefore, we will divide it by the number of people in this case three
3x = 45.96
x = 45.96/3
x = 15.32$
And for the equation would be; 3x = 45.96
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ5
who wants to be my math tutor for rn plz? i'll give u extra points if u help me for awhile? whos willing to do it?? like actually tho??
PLEASE HELP. Write the equation in slope-intercept form for the line that contains the points
(3,-5) and (5,- 1)
a. y = 2x + 11
b. y = 2x + 1
c. y = 2x - 11
d. y = 2x - 1
Answer:
y=2x-11
Step-by-step explanation:
Don’t tell me the steps just answer please!!!
Answer:
A, D, F
Step-by-step explanation:
If (x, -1) is a solution to the equation 2x - 3y = 9, what is the value of x?
Answer:
3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
HELP ASAP! WILL MARK BRAINEST IF YOU ANSWER!
Which property of addition is shown?
-
(4+5) + 6 = 4 + (5+6)
--------------------------------
A. Associative Property
B. Commutative Property
C. Distributive Property
D. Identity Property
Answer: B
Step-by-step explanation:
i used math
20 points and brainiest for the correct answer
On a coordinate plane, a line goes through (0, negative 5) and (5, 0).
A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through the points (0, 2) and (8, -4). The equation of line t is y = -[tex]\frac{3}{4}[/tex]x + 2.
What is the solution to this system of linear equations?
Answer:
4 -1
Step-by-step explanation:
just trust me on this one :)
A restaurant starts with 10 dozen
pieces of cornbread. Every order
receives 2 piece of cornbread. At the
end of their lunch rush, there are 28
pieces of cornbread left. How many
orders did the restaurant take?
Answer:
48 orders
Step-by-step explanation:
so 10 dozen is 120 because 12(10) is 120. we first subtract 120-28, which is 96. divided 96 by 2 to get 48.
equation: (12(10)-28)/2=x
Answer:
46 orders.
Step-by-step explanation:
(10*12) - 2x = 28
120 - 2x = 28
-2x = 28 - 120
-2x = -92
x = -92/2
x = 46
In the equation, f(x)=2x-4(x+1), what is the value of f(-14)?
A. 32
B. -32
C. 5
D. 24
Answer:
D. 24
Step-by-step explanation:
Plug in -14 to the equation:
f(x) = 2x - 4(x + 1)
f(-14) = 2(-14) - 4(-14 + 1)
Simplify:
f(-14) = -28 - 4(-13)
f(-14) = -28 + 52
f(-14) = 24
So, D is the correct answer.
What should the following equation be multiplied by in order to eliminate the fractions?
2 1 1 + 2 / 3 = 2 3 4 + - -
Which of the following is a multiple of 7?
A 12
C 22
B 28
D 36
Answer:28
Step-by-step explanation:7 x 4= 28
Answer:
28
Step-by-step explanation:
7, 14, 21, 28
Find the mode of the data set below.
{99, 88, 88, 91, 92, 100}
O 91.5
O 88
93
0 89.5
Answer:
The mode is 88 as you can see there the 88 occurs twice.
Step-by-step explanation:
I hope this helps
Which is more 2 yards or 40 inches
If x =14 which equations true
Answer:
where r the equations?
Answer:
3(12-x)=6
Step-by-step explanation:
hope that helps !!!!!!!!!!!!!!!!!
What is 3-9 +8 +9 +9 +9 +9 +9 with an exponent of 2/68 +89=
Answer: the answer is 2
Step-by-step explanation:
Answer:
the answer is more than 47 *thumbs up*
Step-by-step explanation: