Answer:
A. (x+12)(x-12)
Step-by-step explanation:
Use foil method
x * x = x^2
x * - 12 = - 12x
12 * x = 12 x
12 * - 12 = - 144
x^2 [- 12x + 12x= 0x = 0] - 144
x^2 + 0 - 144 =
x^2 - 144 #
Answer:
What are the factors of x2 – 144?
✔ (x – 12)
and
✔ (x + 12)
Step-by-step explanation:
10t+50=100
Use the subtraction property of equality first.
This will help so much, thank you!
REALLY IN NEED OF HELP!! please do the best you can<3 Many companies make products to sell, either to other businesses or directly to consumers. The amount of money that a company collects from sales of its products is called its revenue. When a business produces a product, there are costs associated with production. For example, if a cola company is producing a diet cola, they incur costs from purchasing ingredients, aluminum to make cans, cardboard to make boxes, as well as the cost of paying their employees, and more. The profit that a company earns is the difference between the amount earned and the amount spent. Consider the lip color product from each of the two competing high-end cosmetic companies described below. The Alcone Company Besame Beauty This company makes a popular shade of lip color that retails for $45 per tube. The lip color costs The Alcone Company $36 per tube to make and the monthly costs associated with manufacturing just this color are $1,500. A popular shade of lip color from this company costs the consumer $55 per tube. The process to make the lip color costs Besame Beauty $44 per tube and the monthly costs associated with this are $2,200. Use the information given to explore some of the mathematical concepts you have practiced so far by answering the questions below. 1. Develop a single formula you can use to find the profit earned by both The Alcone Company and Besame Beauty for their lip color. Explain why your formula will work for both companies. 2. Write an expression that each company can use to describe the amount of money they will earn from selling their lip colors. Let x represent the number of tubes of lip color each company sells. 3. Write an expression that each company can use to describe the amount of money it costs them to manufacture the lip color each month. Let x represent the number of tubes of lip color each company sells. 4. Use your responses to questions 1, 2, and 3 to write fully simplified expressions each business could use to find their monthly profit. State which property of algebra you are using at each step. Remember that x represents the number of tubes of lip color each company sells. 5. If each company makes 225 tubes of their lip color this month, what amount of profit can they expect? Interpret your answers in terms of the problem’s context. 6. If each company makes and sells 150 tubes of their lip color this month, what amount of profit can they expect? Interpret your answers in terms of the problem’s context. 7. Explain how you used the order of operations to help you answer questions 5 and 6. 8. Explain how you figure out the number of tubes of lip color each company would need to manufacture and sell in order to earn a profit that is greater than 0. 9. Implement your plan from question 8. What is the minimum number of lip color tubes each company would need to manufacture and sell in order to earn a profit that is greater than 0? Interpret your answers in context of the question
Answer:
1. Profit = Revenue - Cost
2. For the Alcone Company Revenue = $45 × x
For the Besame Beauty Revenue = $55 × x
3. Alcone Company; Cost = $1,500 + $36×x
Besame Beauty; Cost = $2,200 + $44×x
4) For Alcone Company, we have;
Profit = $9 × x - $1,500
For Besame Beauty, we have;
Profit = $11 × x - $2,200
5) For Alcone Company;
Profit= $525
For Besame Beauty;
Profit = $275
6) For Alcone Company;
Profit = -$150
For Besame Beauty;
Profit -$550
7) Order of operations is used to ensure that the revenue is first calculated before the cost is subtracted to find the costs
8) In order to find the number of tubes that the company would need to manufacture in order to have a profit of greater than 0, we equate the expression using the inequality of greater than 0 to find the value of x that must be surpassed to have a profit greater than 0
9) For Alcone Company;
The profit will be > 0 at x = 167 tubes
For Besame Beauty;
The profit will be > 0 at x = 201 tubes
Step-by-step explanation:
The given parameters are;
The Alcone Company
The price at which the shade of lip color is sold = $45 per tube
The cost incurred to make the lip color = $36 per tube
The monthly manufacturing cost of manufacturing the lip color = $1,500
For Besame Beauty
The price at which the shade of lip color is sold = $55 per tube
The cost incurred to make the lip color = $44 per tube
The monthly manufacturing cost of manufacturing the lip color = $2,200
1. The formula for finding the profit is given as follows;
Profit = Revenue - Cost
Revenue = Sale price × Number of tubes sold
Cost = The monthly manufacturing cost + The cost incurred to make the lip color × Number of tubes
2. The expression for revenue for the Alcone Company is given as follows;
Revenue = $45 × x
The expression for revenue for the Besame Beauty is given as follows;
Revenue = $55 × x
3. The expression for the cost for the manufacture of the lip color by the Alcone Company per month is given as follows;
Cost = $1,500 + $36×x
The expression for the cost for the manufacture of the lip color by the Besame Beauty per month is given as follows;
Cost = $2,200 + $44×x
4) For Alcone Company, we have;
Revenue = $45 × x
Cost = $1,500 + $36×x
By transitive property and distributive property, we have
Profit = Revenue - Cost = $45 × x - ($1,500 + $36×x) = $9 × x - $1,500
Profit = $9 × x - $1,500
For Besame Beauty, we have;
Revenue = $55 × x
Cost = $2,200 + $44×x
By transitive property and distributive property, we have;
Profit = Revenue - Cost = $55 × x - ($2,200 + $44×x) = $11 × x - $2,200
Profit = $11 × x - $2,200
5) With the number of tubes produced = 225 tubes, we have;
For Alcone Company;
Profit = $9 × x - $1,500 = $9 × 225 - $1,500 = $525
ForBesame Beauty;
Profit = $11 × x - $1,500 = $11 × 225 - $2,200 = $275
6) With the number of tubes produced = 150 tubes, we have;
For Alcone Company;
Profit = $9 × x - $1,500 = $9 × 150 - $1,500 = -$150
For Besame Beauty;
Profit = $11 × x - $2,200 = $11 × 150 - $2,200 = -$550
7) Order of operations is used to ensure that the revenue is first calculated before the cost is subtracted to find the costs
8) In order to find the number of tubes that the company would need to manufacture in order to have a profit of greater than 0, we equate the expression using the inequality of greater than 0 to find the value of x that must be surpassed to have a profit greater than 0
9) For Alcone Company;
Profit = $9 × x - $1,500 >0
$9 × x >0 + $1,500
$9 × x > $1,500
x > $1,500/$9
x > 500/3
x > [tex]166\frac{2}{3}[/tex]
Therefore, the profit will be > 0 at x = 167 tubes
For Besame Beauty;
Profit = $11 × x - $2,200 > 0
$11 × x > 0 + $2,200
$11 × x > $2,200
x > $2,200/$11
x > 200
Therefore, the profit will be > 0 at x = 201 tubes
Please help!!
Darrel’s baby sister was 8 pounds at birth. She gained 4 pounds each year. She now weighs 32 pounds. How old is she?
Subtract to find the weight she gained since birth.
32 - 8 = 24
Divide to see how many years passed.
24 / 4 = 6
Therefore, Darrel's baby sister is 6 years old.
Best of Luck!
−13 = 5(1 + 4m) − 2m multi step equation show all steps pls
Answer:
m = -1
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
-13 = 5(1 + 4m) - 2m
Step 2: Parenthesis (distribute)
-13 = 5 + 20m - 2m
Step 3: Combine like terms (m)
-13 = 5 + 18m
Step 4: Subtract 5 on both sides
-18 = 18m
Step 5: Divide both sides by 18
-1 = m
Step 6: Rewrite
m = -1
Answer:
m = -1
Step-by-step explanation:
-13 = 5(1 + 4m) - 2m
Step 1 : Distributive Property
-13 = 5 + 20m - 2m
Add like terms
-13 = 5 + 18m
Subtract 5 on both sides
-18 = 18m
Divide
[tex]\frac{-18}{18}[/tex] = [tex]\frac{18m}{18}[/tex]
m = -1
Can someone help please
Answer:
13.2
Step-by-step explanation:
11/5=x/6
66/5=×
13.2
Multiply your answer should be a monomial in standard form (-4x^2)(7x^3)
answer: -28x^5
exlaningtion:I used my brain dhdhdishdhdhdhdhdh
Under which conditions does the commutative property apply to compositions of f(x) and g(x)?
A) when f(g(x)) and g(f(x) are inverse functions
B) when f(g(x)) and g(f(x) are equal for at least one value of x
C) when f(g(x)) and g(f(x) are equal for all values of x
D) when f(g(x)) and g(f(x) are not inverse functions
Answer:
The correct option is;
C) When f(g(x)) and g(f(x)) are equal for all values of x
Step-by-step explanation:
To have commutative property is to have the property to move around or change position, as such the commutative property is the property concerns the changing of the positioning of items
The commutative property for addition is a + b = b + a while the commutative property for multiplication is a×b = b×a
For functions , the commutative property can therefore, be expressed as follows;
Commutative property of f(x) and g(x) gives f(g(x)) = g(f(x)) for all values of x.
Answer:
c
Step-by-step explanation:
rewrite 3/4x - 5 = 7/12 so it does not have fractions .
Answer:
Answer
Step-by-step explanation:
0.75x -5 = 0.583333333333...
Answer:
x = 7.4444
Step-by-step explanation:
3/4 x - 5 = 7/12
3x/4 - 5 = 7/12
3x/4 = 7/12 + 5
3x/4 = 7/12 + 60/12
3x/4 = 67/12
3x = 4*67/12
3x = 268/12
3x = 22.3333
x = 22.3333/3
x = 7.4444
Check:
3*7.4444/4 - 5 = 7/12
5.58333 - 5 = 0.58333
Is the function even or odd?
Answer:
[tex]f(\theta)=\cos(\theta)[/tex] is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:
[tex]f(-x)=f(x)[/tex]
And an odd function has the following property:
[tex]f(-x)=-f(x)[/tex]
So, let's test some values for cos(x).
Let's use π/3:
[tex]f(\pi/3)=\cos(\pi/3)[/tex]
From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:
[tex]f(-\pi/3)=\cos(-\pi/3)[/tex]
And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!
The third angle of an isosceles triangle is 16 o less than the sum of two equal angles. Find
three angles of the triangle.
Answer: 49°, 49°, 82°
Step-by-step explanation:
Let x represent the base angles
then 2x - 16 is the vertex angle.
Triangle Sum Theorem states that the sum of the angles is 180°
(x) + (x) + (2x - 16) = 180
4x - 16 = 180
4x = 196
x = 49
Base angles: x = 49
Vertex angle: 2(49) - 16 = 82
Type the correct answer in each box. A company manufactures three types of cabinets, type A, type B, and type C. Last week, the number of type B cabinets produced was 30 more than the number of type A cabinets produced. The number of type C cabinets produced was 20 more than times the number of type A cabinets produced. If the company made the same number of type B and type C cabinets last week, then the number of type A cabinets produced was _____ . The total number of cabinets produced last week was ____.
Hi There!!
B = 1/2A + 30
C = 3/2A + 20
B = C
1/2A + 30 = 3/2A + 20
30 - 20 = 3/2A - 1/2A
10 = A
B = 1/2A + 30
B = 1/2(10) + 30
B = 5 + 30
B = 35
C = 3/2A + 20
C = 3/2(10) + 20
C = 15 + 20
C = 35
type A cabinets produced was 10
type B and type C cabinets produced were both 35
Good Luck!!
[tex]Itsbrazts[/tex]
Answer:
If the company made the same number of type B and type C cabinets last week, then the number of type A cabinets produced was 10. The total number of cabinets produced last week was 80.
Step-by-step explanation:
I took the test.
Find the 7th term in the
sequence
-4, -8,-16,
Answer:
-256
Step-by-step explanation:
Given:
a₁ = -4 (First term) r = -8 ÷ -4 = 2 (Common ratio) n = 7 (Number of term)Find:
a₇ = ?Formula:
aₙ = a₁ · rⁿ⁻¹Solve:
a₇ = -4 · 2⁷⁻¹a₇ = -4 · 2⁶a₇ = -4 · 64a₇ = -256Find the difference of 18.6 and 5.24.*
Answer:
13.36
Step-by-step explanation:
18.60 - 5.24
=>13.36
If a=3, b= -5
then who has
2b + a
Answer:
-7
Step-by-step explanation:
2b+a
2(-5)+3
-10+3
-7
Answer:-7
Step-by-step explanation:
2b+a
2×-5=-10
-10+3=-7
A bus makes a stop at 2:30, letting off 12 people and letting on 9. The bus makes another stop ten minutes later to let off 4 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Answer: bus makes a stop at 2:30, letting off 15 people and letting on 9
-15 + 9 = -6
The bus makes another stop ten mins later to let off 4 more people
-4
Happy to Help! (Now i must go back to my planet ^^)
20 Points!!! any absurd answers, I will report. In which expression should the exponents be multiplied? 2 to the 9th over 2 to the 7th (610)−7 one half to the 3rd times one half to the 5th 52 ⋅ 54
Answer:
it would be 2 to the 9th over 2 to the 7th
Step-by-step explanation:
Answer:
it would be 2 to the 9th over 2 to the 7th
Step-by-step explanation:
A 37-ft ladder leans against a building so that the angle between the ground and the ladder is 73°. How high does the ladder reach up the side of the building?
Answer:
35.4 ft
Step-by-step explanation:
To solve this problem, we need to represent the statement in the question in a diagram.
Please see attached photo.
In the attached photo, x is the height of the building.
Thus, we can calculate the value of x as shown below:
Angle θ = 73°
Opposite = x
Hypothenus = 37 ft
Using the Sine ratio, the value of x can be obtained as follow:
Sine θ = Opposite /Hypothenus
Sine 73 = x /37
Cross multiply
x = 37 × Sine 73
x = 35.4 ft
Therefore, the ladder reached up to 35.4 ft of building.
Expand and simplify the expression
(p-4q) (3p+q) - (2p+3q) (4p-7q)
Answer:
[tex]-5p^2-9pq+17q^2[/tex]
Step-by-step explanation:
[tex](p-4q) (3p+q) - (2p+3q) (4p-7q)\\\\\mathrm{Expand}\:\left(p-4q\right)\left(3p+q\right):\quad 3p^2-11pq-4q^2\\=3p^2-11pq-4q^2-\left(2p+3q\right)\left(4p-7q\right)\\\\\mathrm{Expand}\:-\left(2p+3q\right)\left(4p-7q\right):\quad -8p^2+2pq+21q^2\\=3p^2-11pq-4q^2-8p^2+2pq+21q^2\\\\\mathrm{Simplify}\:3p^2-11pq-4q^2-8p^2+2pq+21q^2:\\\quad -5p^2-9pq+17q^2[/tex]
Answer:
-5p² -9pq +17q²
Step-by-step explanation:
Please see attached picture for full solution.
Need help ASAP not sure how to simplify this could someone pleade comment answer
Answer:
8 (3/4)
Step-by-step explanation:
convert everything into improper frantions
-3 1/2 = -7/2
-12 1/4 = -49/4
common denominators
-7/2 = -14/4
solve
-(14/4)-(-49/9)
two negative cancel out to make a positive
-(14/4)+(49/9)
35/4
35 divided by 4 = 8.75 = 8 3/4
3(a-7b)+2(4a+3b)+23(a-b)
Answer:
3a-21b+8a+6b+23a-23b.
3a+8a+23a-21b+6b-23b.
34a-38b.
Answer:
34a-38b
Step-by-step explanation:
3a-21b+8a+6b+23a-23b
=34a-38b
What is m2 + m 23? Pls I need ASAP
Answer:
90 degrees
Step-by-step explanation:
the answer is 90 degrees because when the triangle is a right triangle, the two smaller angles equal 90 degrees.
I WILL MARK BRAINIEST ZWYX and ZZYX are supplementary angles. mZWYX 8x + 12 and mZZYX = 2x + 28. What is mZWYX? mZWYX
Answer:
124 degrees
Step-by-step explanation:
Look at the equation from the information they gave you. Supplementary angles always add up to 180 degrees, so make up the equation of 8x + 12 + 2x + 28 = 180. Simplify to get 10x + 40 = 180. Subtract 40 from both sides to get 10x = 140. Divide both sides by 10, and you will get x=14. Substitute the value of 10 into the variable x in the angle ZWYK to get 8(14) + 12. This will simplify into 112 + 12, which will eventually get you 124 degrees.
Answer:
mZWYX = 124°Step-by-step explanation:
Since angles ZWYX and ZZYX are supplementary it means that the sum of their angles sum up to 180°
To find mZWYX we must first find x
To find x add ZWYX and ZZYX and equate them to 180 to find x
That's
ZWYX + ZZYX = 180
8x + 12 + 2x + 28 = 180
10x + 40 = 180
10x = 180 - 40
10x = 140
Divide both sides by 10
x = 14°
From the question
mZWYX = 8x + 12
Substitute the value of x into the expression
We have
mZWYX = 8(14) + 12
= 112 + 12
We have the final answer as
mZWYX = 124°Hope this helps you
Rewrite the division problem using improper fractions. 3 and three-fourths divided by negative five-eighths Negative StartFraction 5 over 8 EndFraction divided by StartFraction 15 over 4 EndFraction StartFraction 15 over 4 EndFraction divided by (negative StartFraction 5 over 8 EndFraction) StartFraction 15 over 4 EndFraction divided by StartFraction 5 over 8 EndFraction Negative StartFraction 15 over 4 EndFraction divided by (negative StartFraction 5 over 8 EndFraction
Answer:
the answer is 15/4 divided by (-5/8)
Step-by-step explanation:
just did the assignment hope this helps. <3
The division problem using improper fractions can be written as (15 / 4) ÷ (- 5 / 8).
What is division?The division is the basic arithmetic operation, in which you are separating the number into some parts. In division, we distribute the total numbers.
Given:
3 and three-fourths divided by negative five-eighths Negative Start Fraction 5 over 8 End Fraction divided by Start Fraction 15 over 4 End Fraction,
The above statement can be written as
3 3/4 ÷ (- 5 / 8)
Solve the mixed fraction = 3 3/4 = 4 × 3 + 3 /4
3 3/4 = 15 / 4
Therefore, the division problem using improper fractions can be written as (15 / 4) ÷ (- 5 / 8).
To know more about division:
https://brainly.com/question/27566440
#SPJ6
I need help on b. and c.
Answer:
Step-by-step explanation:
1. 8a = -2
a = -2/8 =-1/4
2. -11b = -6
b = 6/11
3. -2c = 16
c = -8
which number is greater 0.31 or 0.03
Answer:
The number bigger is 0.31.
Step-by-step explanation:
Answer:
0.31 is greater than 0.03
Step-by-step explanation:
0.31 - 0.03 = 0.28
So, 0.31 is 0.28 greater than 0.03
Hope it helps :)
Bo is buying a board game that usually costs B dollars. The game is on sale, and the price has been reduced by 18%. Which of the following expressions could represent how much Bo pays for the game? Choose 2 answers: A 0.82B B 1.18B C B - 0.18 D B - 18 E B - 0.18B
Answer:
a and b
Step-by-step explanation:
on a ship, the price of a gift is 24 euros or $ 30. what is the difference in the price on a day when the exchange rate is 1 euro=$ 1.2378? Give your answer in dollars, correct to the nearest cent
Answer:
The price would be $29.7072
Step-by-step explanation:
Since the original price in euros is 24, you need to multiply $ 1.2378 by 24.
1.2378 × 24 = $29.7072
The new price would be $29.7072.
Hope this helps!
find the value of h
Answer: The value of h is -1.
Step-by-step explanation:
The function F(x) = ║x║ has been shifted 1 unit to the right. H in this case represents if the function has been shifted to the right or to the left. If the function is being shifted to the right then H is negative and if the function is shifted to the left, x is positive. In this case the value of h is -1.
If $17,000 is invested in an account for 25 years. Calculate the total interest earned at the end of 25 years if the interest is: (a) 7% simple interest: $ (b) 7% compounded annually: $ (c) 7% compounded quarterly: $ (d) 7% compounded monthly: $
Answer:
a.) $29,750.00 simple interest
b.) $75,266.35 Compounded annually
c.) $79,358.65 compunded quarterly
d.) $80,332.11 compounded monthly
Step-by-step explanation:
a.) Formula: I = p x r x t
Where:
P is the principal amount, $17000.00.
r is the interest rate, 7% per year, or in decimal form, 7/100=0.07.
t is the time involved, 25....year(s) time periods.
So, t is 25....year time periods.
To find the simple interest, we multiply 17000 × 0.07 × 25 to get that:
The interest is: $29750.00
______________________________
b.) $75,266.35
c.) $79,358.65
d.) $80,332.11
Can anyone help me understand this question
We need to find an equation that's in the form of: y = kx
k = constant of proportionality
Since it has to equal 9, this will be the value of k (y = 9x).
The correct answer is B.
Best of Luck!