Answer:
It's a parabola with a minimum.
C(x)= 500,000 + 80x + 0.003x^2
C'(x) = 80 + 0.006x = 0
x = 80/0/006 = 13,333 units
Step-by-step explanation:
A company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product is
C(x)= 500,000 + 80x + 0.003x^2
The company can produce no more than 30,000 units during a given time period. How
many units of the chemical product should be manufactured and sold to maximize profit?
During a vote, 2,400 voters were divided into 4 large groups and each large group was divided into 6 small groups. How many voters were there in each small group?
Please help. I just don’t feel like doing it rn
Answer:
mm
Step-by-step explanation:
help me with this problem thank youuup.
Step-by-step explanation:
it is a linear function, if the change in y is constant in relation to the changes of x.
in other words, if the slope y change/x change is the same for every point.
when we look at the table, we see x changes constantly by +2.
and y changes constantly by -6.
so, the change rate/slope is constantly -6/2 = -3.
and therefore it is a linear function.
the equation looks like (the slope is always the factor of x)
y = -3x + b
b we get by using one of the x,y pairs like 1,4
4 = -3×1 + b = -3 + b
b = 7
so, the full equation is
y = -3x + 7
Step-by-step explanation:
Given the table of values, {(-3, 16), (-1, 10), (1, 4), (3, -2), (5, -8)}:
We must determine whether the given relation or data can be modeled by a linear equation. It is necessary to analyze the pattern that exists between changes in y-values, along with the changes in x-values.
X-coordinates:Subtracting the x-coordinates provides a constant difference of 2:
Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10): Subtract the two x-coordinates: -1 - (-3) = -1 + 3 = 2.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two x-coordinates: 1 - (-1) = 1 + 1 = 2.If you perform these same steps throught the remaining rows, then you'll get the same difference of 2.
Y-coordinates:We can perform the same steps for the y-coordinates. Subtracting the y-coordinates provides a constant difference of -6.
Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10): Subtract the two y-coordinates: 10 - 16 = -6.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two y-coordinates: 4 - 10 = -6.If you perform these same steps throught the remaining rows, then you'll get the same difference of -6.
SlopeSince the constant change in y = -6, and the constant change in x = 2, then we can calculate for the slope as: Δy/Δx = -6/2 = - 3. Hence, the constant rate of change = -3.
As demonstrated throughout this post, we can infer that there is a linear pattern that exists between the x- and y-values.
Therefore, the data can be modeled by a linear equation because the rate of change is constant.
Linear Equation:In order to establish the linear equation that represents y as a function of x, we can use the slope, m = -3, and one of the given ordered pairs, (1, 4), to solve for the value of the y-intercept, b. Substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
4 = (-3)1 + b
4 = -3 + b
Add 3 to both sides to isolate b:
4 + 3 = -3 + 3 + b
7 = b
Therefore, the linear equation that represents the given data is: y = -3x + 7.
Yes or No
Please answer
Help me with math!!!!
Answer:
-4
Step-by-step explanation:
so t is greater than -5, and for negatives, you need to get nearer zero.
3a-28-7a+10a
Someone PLEASE HELP
Answer:
6a - 28
Step-by-step explanation:
combine like terms
3a - 28 - 7a + 10a
3a - 7a + 10a = 6a
have a lovely day :)
Answer:
Step-by-step explanation:
the steps are on the pic
symbolab
tiger-algebra
and
geteasysolution
aregoof for math
Evaluate (25/36)^1/2
A 25/6
B 5/6
C 5/36
D 25/36
5/6 its doneeeeeeèeeeeee
Water drains from a 60 gallon bath tub at a constant rate. It empties in 5
minutes. What is the rate?
Help me pls
Answer:
-12 gal / min
Step-by-step explanation:
-60/5=-12
How to find the equation of a line.
Answer:
Step-by-step explanation:
1. Identify the slope.
2. Identify the point.
3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
4. Write the equation in slope-intercept form.
What are the domain and range of f(x) = (one-sixth) Superscript x + 2?
domain: Left-brace x vertical-line x greater-than negative one-sixth right-brace; range: {y | y > 0}
domain: Left-brace x vertical-line x greater-than one-sixth right-brace; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > –2}
The domain and range of the function is domain: {x | x is a real number}; range: {y | y > 2}
Given the exponential function expressed as;
[tex]f(x)=(\frac{1}{6})^x + 2[/tex]
The domain of the function will be the input value "x" for which it exists. For the function given, it exists for any value of "x".
Hence the domain of the function exists on all real numbers. Hence the domain in set notation is domain: {x | x is a real number}The range of the function will be the output value "f(x)" for which it exists. For the function given, it exists for any value of f(x) greater than 2.Hence the range of the function exists on any value of f(x) greater than 2. Hence the range in set notation is domain: {y | y >2}Learn more here: https://brainly.com/question/24041834
Answer:
The answer is C on edge
Step-by-step explanation:
A leaky pipe drips 2 fluid ounces of water per hour. How many cups of water does it leak in 2 days? Remember that 8 fluid ounces = 1 cup
Answer:
12 cups
Step-by-step explanation:
There are 48 hours in two days.
48 · 2 = 96 ( 2 being fluid ounces per hour )
96 ÷ 8 = 12 ( 8 being fl oz in each cup )
I hope that this helped!!!
someone please help me
Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per miles driven. How much would a taxi ride cost if Stella is riding for 2 miles? How much would a taxi ride cost that is m miles long?
Answer:
$ 6.50
Step-by-step explanation:
Based on the given conditions, formulate 3+2 × 1.75
calculate the first two terms 3+3.5
calculate the first two terms 6.5
Answer: 6.5
You are doing chores to earn your allowance. For each chore you do, you earn $5. You are saving up to buy a $100 lego set. How many chores would it take you to earn $100?
Answer:
It would take 20 chores.
Step-by-step explanation:
1 chore = $5
=> 1 x 20 = $100
=> 20 chores = $100
Therefore, it would require me 20 chores to save $100 and buy that Lego set.
Hoped this helped.
EASY POINTS
2+2=?
4+4=?
6+6=?
Answer:
Below
Step-by-step explanation:
2+2 = 4
4+4= 8
6+6=12
Thomas wants to buy a new TV for
$899. The city tax is 7%. What will
his final price be after tax is added?
Answer:
$961.93
Step-by-step explanation:
7% can also be written as .07. If you multiply .07 by 899 you get 62.93. This is the tax. If you add that to 899 you get 961.93.
Someone plz help me I don’t understand and plz explain :(
Answer:B.27
Step-by-step explanation:
If right please mark as brainly
How do I simplify (9-2i)-(4-8i)
Answer:
20-80i
Step-by-step explanation:
20 - 80i
I think the minus symbol is meant to be a multiplication one
because if it was subtraction, it would be impossible
Pls help me with this, tyyy!
Answer:
Input : 12
Output : -48
Step-by-step explanation:
Hope it helped
GEOMETRY PROOFS!
Given: RA≅RE; EC≅AC
Prove: REC ≅ RAC
refer to attachments
WILL GIVE BRAINLIEST! PLS HELP!
From the given figure ,
RECA is a quadrilateral
RC divides it into two parts
From the triangles , ∆REC and ∆RAC
RE = RA (Given)
angle CRE = angle CRA (Given)
RC = RC (Common side)
Therefore, ∆REC is Congruent to ∆RAC
∆REC =~ ∆RAC by SAS Property
⇛CE = CA (Congruent parts in a congruent triangles)
Hence , Proved
Additional comment:-
SAS property:-
"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)
also read similar questions: Complete this proof. Given: EC AC, DB AC, ∠A = ∠F Prove: ΔMDF ∼ ΔNCA..
https://brainly.com/question/16250124?referrer
Consider the proof. Given: Segment AB is parallel to line DE. Prove: AD/DC = BE/EC What is the missing statement in Step 5? A.) AC = BC B.) AC/DC = BC/EC C.) AD...
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Jason has sixteen books and fifteen magazines in his library. He bought several books at a yard sale over the
weekend. He now has ninety-four books in his library. How many books did he buy at the yard sale?
Answer:
48 books
Step-by-step explanation:
you would take away the 15 magazines because that doesn't matter.you would put 94 books on top first and then subtract 16 books to thatthen putting that problem together you should get 48Solve for j.
2 − 2j = 14
j =
Answer:
-6
Step-by-step explanation:
i hope this helps
Answer:
j=6
Step-by-step explanation:
how can i show the value that 1/10 of 0.5
Answer:
[tex]\frac{1}{10} * 0.5 = 0.05[/tex]
Step-by-step explanation:
The problem asks "what is the value of _____ of _______"
Step 1: Know The word "of" means to multiply.
So you just need to multiply the first number by the second number.
Example:
The value of 1/6 of 4 is 1/6 * 4 = 2/3.
can i have help please
Determine the error(s) in the problem below and use mathematical language
from module 2 to explain and answer correctly.
Step-by-step explanation:
error is in ∆ABC =~ ∆RST
because it is,
∆ABC =~ ∆RTS or ∆STR
because,
AB = RT
BC = TS
CA = SR
hope this answer helps you dear! take care.
The error is in labelling the triangles.
What are triangles?A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees.
Given are two ABC and RST
Since, Δ ABC ≅ Δ RST
That gives,
AB = RS
BC = TS
CA = RT
In figure,
AC has been equated to RS, which is wrong or incorrect because the corresponding side of AC is RT
The correct labelling will be
AB = RS = 5
BC = TS = 5
CA = RT = 5.5
Hence, The error is in labelling the triangles.
For more references on triangles, click;
https://brainly.com/question/2773823
#SPJ2
Simplify the expression.
Step-by-step explanation:
since all base numbers have the same exponent, we can combine the base numbers first and then apply the exponent :
(12×45×50)^(1/3) = 27000^(1/3)
and remember what a 1/... exponent means : it means the root of the ... degree.
so, here we need a cubic root or a root of the third degree
[tex] \sqrt[3]{27000} = 30[/tex]
Complete the inequality statement.
1 1/2 ft ___ 16 in.
A. >
B. <
C. =
Answer:
a.>
Step-by-step explanation:
because :-
11/2 ft= 5.5 ft
5.5ft =66 in so 66in>16in
A TV has a listed price of $771.95 before tax. If the sales tax rate is 9.25%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$843.36
Step-by-step explanation:
:))
Is the following number rational or irrational?
-0.32
Choose 1 answer:
Rational
B
Irrational
Find the slope of line 2, which is parallel to line 1. Line i goes through the points
(-13, -6), (7, 15).
(-13, -6), (7, 15) = 1.05
Equation: y = 1.05x + 7.65.
The entered points belong to an increasing, linear function.
Answer:
m = rise / run = 21/20, or m = 1.05
Step-by-step explanation:
If the lines are parallel, their slopes are identical. So we can find the slope of line 1 and know that it's also the slope of line 2.
From (-13, -6) to (7, 15), the x-component increases by 20 units from -13 to 7. Thus, the "run" in m = rise / run is 20. Likewise, the "rise" is 21.
Thus the slope in question is m = rise / run = 21/20