22. The function C= 75x + 2600 gives the cost, in dollars, for a small company to
manufacture x items. The function R = 225x-X gives the revenue, also in
dollars, for selling x items. How many items should the company produce so
that the cost and revenue are equal?
Answers
Given:
[tex]c=75x+2600\\[/tex]; where c is cost in dollars and x is items sold
[tex]r=225x-x^{2}[/tex]; where r is revenue in dollars and x is items sold
Equations:
[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
Answer:
For cost and revenue to be equal, the company should produce and sell 20 or 130 items.
[tex]x=20\\[/tex] or [tex]x=130[/tex]
Step-by-step explanation:
1. Set the equations equal to each other; [tex]75x+2600=225x-x^2[/tex]
2. Subtract [tex]225x-x^2[/tex] from each side; [tex]x^2-150x+2600=0\\[/tex]
3. Determine quadratic formula variables; [tex]a=1; b=-150; c=2600[/tex]
4. Substitute [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] into quadratic formula; [tex]x=\frac{-(150)\±\sqrt{(-150)^2-4*1*260}}{2*1}[/tex]
5. Solve quadratic formula; [tex]x_{1} = 130[/tex], [tex]x_{2}=20[/tex]
Related Questions
multiply x2 + 3x + 2
x 2x^2 + 3x - 1
__________________
Answers
The value of the expression (x² + 3x + 2) × (2x² + 3x - 1) will be 2x⁴ + 9x³ - 12x² + 3x - 2.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (x² + 3x + 2) × (2x² + 3x + 1)
Simplify the equation, then we have
⇒ (x² + 3x + 2) × (2x² + 3x - 1)
⇒ x²(2x² + 3x - 1) + 3x(2x² + 3x - 1) + 2(2x² + 3x - 1)
⇒ 2x⁴ + 3x³ - x² + 6x³ + 9x² - 3x + 4x² + 6x - 2
⇒ 2x⁴ + 9x³ - 12x² + 3x - 2
The value of the expression (x² + 3x + 2) × (2x² + 3x - 1) will be 2x⁴ + 9x³ - 12x² + 3x - 2.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ7
Solve the equations)
1.-2q-5=-11
2.w/3+2=5
Answers
Answer:
1. q = 3
2. w = 9
Step-by-step explanation:
1.
-2q - 5 = -11
Add 5 to both sides:
-2q - 5 + 5 = -11 + 5
-2q = -6
Divide both sides by 2:
-2q ÷ 2 = -6 ÷ 2
-q = -3
Divide both sides by -1:
-q ÷ -1 = -3 ÷ -1
q = 3
2.
w/3 + 2 = 5
Subtract 2 from both sides
w/3 = 3
Multiply both sides by 3:
w = 9
-Chetan K
scale the numerator and the denominator down by a factor ofs (divide) to write a
fraction equivalent to 30/70.
Answers
Answer:
3/7 scaled both the numerator and denominator down by 10
Step-by-step explanation:
30/10 = 3 70/10 = 7
3/7
solve the following system y=4x and 6x-4y=10
Answers
Answer:
x=-1 y=-4
Step-by-step explanation:
6x - 4y = 10
Use substitution method:
Substitute y = 4x into the 2nd equation:
6x - 4(4x) = 10
6x - 16x = 10
-10x = 10
-10x/-10 = 10/-10
x = -1
Substitute x = 1 into the 1st equation to solve for y:
y = 4x
y = 4(-1)
y = -4
Therefore, the solution to the systems of linear equation is:
(-1, -4) or x = -1, y = -4
1/3 (5)=
1/3 will be the fraction 1 over 3
Answers
(1/3)(5/1)=5/3
Answer:
5/3 or 1.6
Step-by-step explanation:
To solve this, multiply the numerator by 5.
1/3 * 5 = 5/3. We can simplify that into decimal form which is 1.6.
Please solve this problem... I will mark you brainliest
Answers
Answer:
y)(x 2) salamat po sana maka tulong
What is the z score of 0.10?
Answers
Answer:
Z (0.10) = 1.282 (the Z-score which has 0.10 to the right, and 0.4000 between 0 and it). As a shorthand notation, the () are usually dropped, and the probability written as a subscript.
Step-by-step explanation:
hope this helped you if it did plz mark brainliest
I need some help i'm not the best when it comes to math what's 36 x 29?
Answers
Answer:
1044
Step-by-step explanation:
Step-by-step explanation: 36 x 29=1044
May I please receive help?
Answers
Answer:
alright here you need to figure out the points to figure out the slope
Step-by-step explanation:
0.4x = 20 what is the answer Please HELP me !!!!!!!!!!!!!!!!
Answers
Answer:
x=50
Step-by-step explanation:
50 x 0.4 = 20
Hope it helps
Solve for x.
2(x+5) = – 10x + 34
will give brainliest
Answers
Answer:
x=2
Step-by-step explanation:
first you distribute the two on the left side of the equation and get 2x+10= -10x+34. Then add 10x to both sides of the equation to get 12x+10=34. Then subtract 10 from both sides of the equation to get 12x=24. finally divide both sides of the equation by 12 and get x=2
solve for x b
(4x + 7)
(2x + 5)
can someone solve this for me
thank you in advance
Answers
Step-by-step explanation:
10x+1=12x-5
1+5=12x-10x
6=2x
6/2=2x/2
3=x
Does anyone know this answer???
Answers
Answer:
the pitch of the roof is 24ft²
Step-by-step explanation:
Formula: 1/2(b×h)
Given: b=4, h=12
> 1/2(4×12)
> 1/2(48)
> 24
solve for g
g-6 / 2 =4
Answers
Answer:
G=7
Step-by-step explanation:
4/10 + 1/5 and 4/10 - 1/5
Answers
Answer: 4/10 + 1/5 = 0.6 and 4/10 - 1/5 = 0.2.
Step-by-step explanation:
1. Convert the fractions into decimals by dividing the numerator(the number to the left or top of the fraction) by the denominator(the number to the right or bottom of the fraction.
2. For the first question, add the two decimals to get your answer. For the second question, you subtract. 0.4-0.2.
what is the value of 5 in 3590
Answers
Answer:
500
Step-by-step explanation:
The 5 means 500. The whole number is read three thousand-five hundred-ninety
Which expression is equal to “8 less than the product of y and 9"'?
Answers
Answer:
Which expression is equal to “8 less than the product of y and 9"'?
Step-by-step explanation:
The difference between a number x and 12 is 19
Answers
Answer:
x-12=19
x=19+12
X=31........
Answer:31
Step-by-step explanation:
X-12=19. Add 12 to both sides x=31
Please help, answer all 3 please ASAP!!!!! A. Graph the piece-defined function. B. What is the domain and range of the function?
Answers
Answer:
Step-by-step explanation:
number in squence
5,20,10,30,15,40
and say how did you do it
i will mark you the brainlist
Answers
Answer:
5 plus 15 is 20 and then subtract 10 it will become 10 then add 20 it became 30 then subtract 15 it will become 15 then add 25 to 15 answer 40
Step-by-step explanation:
the numbers are repeated again and again like we added 5 to 15 we got 20
then later we added 20 to 10 it became 30
0.1(d-6)=0.15d+2.5-1.5+0.05d
Answers
Answer:
d= negative 16
Step-by-step explanation:
Answer:
0.1(d-6)=0.15d+2.5-1.5+0.05d
Step-by-step explanation:
Someone plz help me :(
Answers
Answer:
C
Step-by-step explanation:
Easy as
9,4
2,4
4-4 0 Distance
9-2
7 distance
Hope this helps!
What is the correct expanded form for the number 43.205?
400 + 3 + 0.2 + 0 + 0.005
40 + 3 + 0.2 + 0 + 0.005
40 + 3 + 0.02 + 0.005
40 + 3 + 0.2 + 0.05
Please help !
Answers
Answer:
43.205 in expanded form:B. 40 + 3 + 0.2 + 0 + 0.005Explanation:
The number 43 is basically 40+3
We read "43" as "forty three", in which you can think of having 40 and then an additional 3 on top of that to get 40+3 = 43 overall.
As for the decimal portion, we do the same sort of thing.
The 0.205 breaks up into 0.2 + 0.005
0.2 = 2 tenths
0.005 = 5 thousandths
So that's why 43.205 breaks down into 40+3+0.2+0+0.005; each place value digit corresponds to a term in that expanded sum.
What's the slope of (1, 4) and (0, 11) ?
Answers
Answer: Slope = -7
Concept:
Here, we need to know the formula that helps to find the slope by two points.
The slope of a line is a number that describes both the direction and the steepness of the line.
Slope = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)
Solve:
Given information
(x₁, y₁) = (1, 4)
(x₂, y₂) = (0, 11)
Given expression
Slope = (y₂ - y₁) / (x₂ - x₁)
Substitute values into the expression
Slope = (11 - 4) / (0 - 1)
Simplify the values in the parentheses by subtraction
Slope = (7) / (-1)
Simplify by division
[tex]\boxed{Slope=-7}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
640 divided by 2/5 how do I solve this
Answers
Answer:
Step-by-step explanation:
1600
Answer:
1,600
Step-by-step explanation:
When dividing with fractions, remember this rule!!!!
KEEP SWITCH FLIP
- Keep the first fraction
- Switch the sign from division to multiplication
- Flip the second fraction so it becomes its reciprocal (the numerator becomes the denominator and the denominator becomes the numerator)
Let's begin!
640 ÷ 2/5
We know that every number divided by 1 is itself, thus every numerator has an invisible 1 as its denominator. Now we can rewrite it as:
640/1 ÷ 2/5
First, keep 640/1. Then change the ÷ into a ×
640/1 × 2/5
Next, flip the 2/5 so the 5 is on top and 2 is on the bottom
640/1 × 5/2
And multiply across!
640 × 5 = 3,200
1 × 2 = 2
3,200/2 = 1,600
Your answer is 1,600!!
Hope this helps clear things up for you. Let me know if you any other questions :D
A washer and dryer cost $ 772 total. The washer costs $ 78 less than the dryer. How much does the dryer cost?
Answers
Answer:
347 maybe
Step-by-step explanation:
772 ‐ 78
= 694
694/2
= 347
Diamond's monthly income is $3,200. She spends $1,280 a month on rent and groceries. What percentage of Diamond's income is used to pay for her rent and groceries?
Answers
Answer:
40% of her income
how do I rewrite the equation of velocity, so that I'm solving for time and no velocity?
V= D/T is the formula for solving for velocity
Answers
Answer: V/D = T
Step-by-step explanation:
What percent is 15 of 50? Explain the steps in finding the percent
Answers
= 7.5
15 is 30% of 50. This is found by setting up a proportion: 15/50 = Percent/100, solving for Percent gives 30.
Let's call the part we're trying to find the percent of the "portion."
Portion = 15 (the value you want to find the percent of)
Total = 50 (the total value or whole)
Set up the proportion.
The ratio of the portion to the total as a percent, so we can set up a proportion:
Portion / Total = Percent / 100
Plug in the values.
Portion / 50 = Percent / 100
Solve for the percent:
Portion × 100 = 50 × Percent
Divide both sides by 50:
Percent = (Portion × 100) / 50
Calculate the percent:
Percent = (15 × 100) / 50
Percent = 1500 / 50
Percent = 30
Therefore, 15 is 30% of 50.
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ3
help me please
show working
Answers
I also don't know mannn!lol
Answer:
[tex]15 \10 kg\times 1000g = 1500g[/tex]