Answer:
y = -2.8x +69.4
Step-by-step explanation:
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
The linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .
What is linear function?
A linear function refers to when the dependent variable (usually expressed by 'y') changes by a constant amount as the independent variable (usually 'x') also changes by a constant amount.
According to the given equation
We have a graph which shows the remaining inventory.
In which x represents the number of days and y represents the inventory remaining.
Let y = mx + b be the linear function which represents the relationship between the number of days and the inventory remaining.
Form the given graph if we choose two points (14, 30) and (2, 65) for finding the value of m and b.
Substitute y = 30 and x = 14 in y = mx + b
⇒ [tex]30 = m(14) + b...(i)[/tex]
Similarly,
substitute y =65 and x =2 in y = mx + b
⇒[tex]65 = 2m + b..(ii)[/tex]
From equation (i) and (ii)
[tex]m = \frac{-35}{12}[/tex]
and [tex]\frac{50}{3}[/tex]
Therefore, [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex]
Hence, the linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .
Learn more about linear function here:
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Number line fractions
Answer:
-7/4 is between -2 and -1 1/2
11/4 is in between 2 1/2 and 3
Step-by-step explanation:
-7/4 is -1.75 which means its right before -2
11/4 is 2.75 which means it's right before 3
A bird flying 45 feet above a river dives
down 58 feet to catch a fish. Find the
location of the fish relative to the surface of
the water.
1/2 divided by 1/8 in simplest form
Will give brainliest and 5 star rating plus thanks plz help quickly
Answer:
maybe 4
Step-by-step explanation:
Answer:
So 1/2 divided by 1/8 in simplest form is 4
Step-by-step explanation:
[tex]\frac{1}{2}/\frac{1}{8}[/tex]
You use the rule of Keep Change Flip when dividing fractions
You keep the 1/2
Change the division sign to multiply
Flip 1/8 to 8/1
[tex]\frac{1}{2} * \frac{8}{1}[/tex]
Now you have to multiply [tex]\frac{1*8}{2*1} = \frac{8}{2}[/tex]
Simplify by factoring by 2 [tex]\frac{8}{2} = \frac{4}{1} =4[/tex]
Find the missing side K
K
53
45
Answer:
k=28
Step-by-step explanation:
Does this relationship represents a function? Explain why or why not. (F.IF.A.1)
y
-5
4
-2
-5.4
-2.1
2 B4
5
X
Edit
View
Insert
Format
Tools Table HELP PLEASE
Step-by-step explanation:
no, it does not.
because almost every valid value of x (from -3 to +3) has 2 associated result values of y.
like x = 0 has y = 3 and y = -3.
but for a function there can be only ONE associated y value for every valid x value.
M=8;(-2,16) write an equation in slope intercept given the slope and a point on the link
Answer:
y = kx+b
Step-by-step explanation:
use dis
Find [tex]f'(4)[/tex] if [tex]f(x)=2x^2-3[/tex]
Explain how you got your answer.
Answer:
[tex]f'(4)=16[/tex]
Step-by-step explanation:
First, we need to find the derivative:
[tex]f'(x)=(2)(2)x^(^2^-^1^)-0[/tex]
[tex]f'(x)=4x[/tex]
Now, we need to plug in 4 for x:
[tex]f'(4)=(4)(4)=16[/tex]
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
(correct the error below!)
first term =4
common difference =8
tenth term =4 +10(8) = 84
Answer: The tenth term is 76
=======================================================
Explanation:
We use this arithmetic sequence formula to get the nth term
[tex]a_n = a_1 + d(n-1)[/tex]
Plug in [tex]a_1 = 4, \ d = 8, \ n = 10[/tex] and you should get the following:
[tex]a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\[/tex]
The tenth term is 76
---------
We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.
[tex]\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}[/tex]
---------
In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in [tex]a_n = a_1 + d(n-1)[/tex] which shifts everything one spot to the left.
2q+6=12. 2q=6. Q= plz help me
Answer:
2q=6 Subtract both sides by 6
q=3 Divide both sides by 2
Step-by-step explanation:
2q+6=12
2q=6 Subtract both sides by 6
q=3 Divide both sides by 2
Hope this helps :)
Answer:
Well this is common algebra
So you want to isolate the variable so in this case you subtracted 6 on both sides.
Now you jsut divide both sides by 2 which is 2q/2=q
6/2=3
q=3
Mrs. Jones knows how to use texting, instant messenger, emailing,
calling, and mailing letters to communicate with her students. She must select
2 method of communication out of the 5 to send her students an important
message. In how many ways can she choose the communication method?
Answer:
6869
Step-by-step explanation:
I need some help with this one I'm lost!
Answer:
-334
Step-by-step explanation:
tyes sfdfa d
Write an equation in point-slope form of the line that passes through (-3, 2) and (6, - 1)
Answer:
y - 2 = -1/3 (x + 3)
Step-by-step explanation
Sorry!
Point-slope form )
Slope = (-1 -2)/(6 - (-3)
Slope = -3/9
Slope = -1/3
Using the point-slope formula and point (-3, 2)
y - 2 = -1/3(x - (-3)
y - 2 = -1/3 (x + 3) This is = to y = -1/3(x + 3) +2
8
Drag and drop the correct angle measures onto the diagram:
DRAG & DROP THE ANSWER
60
65
120
120
115
7
65
Answer:
Step-by-step explanation:
are the lines in the figure parallel, perpendicular, or neither?
Answer:
Perpendicular
Step-by-step explanation:
perpindicular
Step-by-step explanation:
Perpindicular has multiple sides and has a 90 degree plane
what would the answer be
Answer:
60
Step-by-step explanation:
Tom is three years older than his brother Tim. The sum of their ages is 79 How old will Tim be in five years?
Answer:
Tom is 43yo and Tim is 36
Tim will be 41 in 5 years.
Step-by-step explanation:
[tex](8+0+-2²-7)²+7[/tex]
[tex](8+0-2A^{2} -7 )A^{2} +7= (1-2A^{2} )A^{2}+7 = A^{2} -2A^4 +7[/tex]
ok done. Thank to me :>
Given that f ( x ) = 3 x − 3 and g ( x ) = 2 x , evaluate g ( g ( − 4 ) )
Answer:
g(g(- 4)) = - 16
Step-by-step explanation:
Evaluate g(- 4) then substitute the value obtained back into g(x)
g(- 4) = 2(- 4) = - 8 , then
g(- 8) = 2(- 8) = - 16
peter and pam are both avid swimmers
Answer: that they are
Step-by-step explanation:
A backback originally costs $35 it is on sale for $22.75 find the percent of decrese
Answer $12.25
Step-by-step explanation: edmentum
In 10 minutes a heart can beat 700 times.At this rate in how many minutes will a heart beat 140 times? AT what rate can a heart beat
Answer:
2 minutes
Step-by-step explanation:
700/10 = 70
1 minute = 70 times
140/70 = 2 minutes
Answer:
2 minutes
Step-by-step explanation:
The heart beats 70 times per minute so 70+70=140.
The Lone Star Shipping Company charges $14 plus $2 per pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 per pound to ship an overnight package. What is the point where these two companies will be the same amount and what does it mean?
Answer:
each company will earn $38 when they ship a 12-pound package
Step-by-step explanation:
you can solve this algebraically by setting up two equations:
let 'c' = charges per pound
Lone Star: y = 2c + 14
Discount: y = 1.5c + 20
now set each equation equal to the other to solve for 'c':
2c + 14 = 1.5c + 20
subtract 14 from each side to get:
2c = 1.5c + 6
subtract 1.5c from each side to get:
0.5c = 6
c = 6/0.5
c = 12
if you plug 12 in for 'c' in each equation you will get y = 38
(12,38) is the point where these two companies would each earn $38 for shipping a 12-pound package
Evaluate the expressions. Show your thinking.
10/25 x 10
Answer:
4
Step-by-step explanation:
[tex]\frac{10}{25}[/tex] × 10
[tex]\frac{100}{25}[/tex]
4
find the surface area of this triangular prism
please help me
108 ft square
Step by step
5x8 is 40
3x4 is 12 x 1/2 is 6.
Again, 3x4 is 12 x 1/2 is 6
8x4 is 32
8x3 is 24
Add that all tigether and its 108
Melinda paints 7/8 of a wall in 1 1/6 hours.What part of a wall does Melinda paint in 1 minute?
Answer:
A part of a wall that Melinda paints in 1 minute is: x = 1/80
What are the values of m and n
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The required values are ~
[tex]m = 60 \degree[/tex][tex]n = 30 \degree[/tex]Refer to attachment for solution ~
please help me with mathhhh.
Answer:
B
Step-by-step explanation:
You can't multiply only one side of an equation by anything. That would make it unbalanced, and math is all about balancing equations.
Can someone help me with this question it's my last question I will give you a brain list just help me I will really appreciate it thank you :)
Answer:
I have attached my answer below.
Step-by-step explanation:
Sorry, I was not able to do the last one as I don't know how to do it.
Hopefully this helps!!
Jacob wants to buy a new bike that costs $369. He currently has $150 saved for the bike, and he can add $3 each day to the bike fund. Write an equation and solve to determine how many days it will take Jacob to save enough money for the new bike.
Answer:
150 + 3x = 369 X= 73
Step-by-step explanation:
X is the amount of days
So 150 minus 369 would be 219
Then take 219/3 and that would mean X equals 73
Enter the value of x that makes the equation 3x + 4 + 2x + 2 = -24
answer? and how would I answer this.
Answer:
x = -6
Step-by-step explanation:
Combine like terms.
5x + 6 = -24
Subtract 6 from both sides.
5x = -30
Divide by 5 on both sides.
x = -6
Follow Me:-
[tex]3x + 4 + 2x + 2 = - 24 \\ \\ = > 5x + 6 = - 24 \\ \\ = > 5x = - 24 - 6 \\ \\ = > 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{5} \\ \\ = > x = - 6[/tex]
Hope This Helps