Answer:
x² - 8x + 16
Step-by-step explanation:
Step 1: Write out expression
(x - 4)²
Step 2: Expand
(x - 4)(x - 4)
Step 3: FOIL
x² - 4x - 4x + 16
Step 4: Combine like terms
x² - 8x + 16
PUHU
Noriko's final mark for her Financial Mathematics course was based on four tests with different weightings. Test one
counted for 10% of the final grade, test two for 20%, test three for 30% and test four for 40%. If Clara received 70% o test
one, 85% on test two, 64% on test three and 72% on test four, calculate her final mark.
Answer:
80 percent because the study was 100 she missed the 20 percent which was mixed because you can't change the psrcent
Step-by-step explanation:
and so if you have 100 percent right take the 20 away its 8 0percent because the 40 per entvdivided it up
What is the value of x ? Enter in simplest form. X - 3/7 = 4
Answer:
[tex]x = \frac{31}{7}[/tex]
Answer:
31/7
Step-by-step explanation:
Plus both sides by 3/7, and on the left it is 4 + 3/7. Transfer that into an improper fraction, and it's 31/7
A popular brand has introduced a new design of jeans. All major stores have stocked the jeans because the brand usually sells very well. But the cost of these jeans is much higher than those of other brands, so people don't buy them. How will the price of the jeans be affected? Give reasons to your answer
If the jeans aren't bought at all, or as much as the other brands, then the store owners would have no choice but to lower prices. It's either that option or they would return the merchandise (if possible) or simply throw away the jeans. Setting the right price is more or less trial and error. There are mathematical ways to make an educated guess, but to be fair, there are a lot of factors in play that make trial and error more effective.
For example, if the jeans start at $100 and no one buys them for a week, then the owner may reduce the cost to $75 and see if the 25% discount is effective or not. If people buy, then the price may stay there. If not, then the price may come down even further. The process is continued indefinitely. On the flip side, if demand skyrockets, then prices would likely go up.
the price of the jeans is likely to be affected by the low demand resulting from the high cost.
Based on the given information, it can be inferred that the price of the jeans is not aligned with the market demand due to its high cost relative to other brands. In this scenario, several outcomes are possible:
1. Decrease in Price: If the jeans are not selling well due to their high cost, the brand might experience a decrease in demand. To stimulate sales, the brand may need to lower the price of the jeans to make them more affordable and competitive. This price adjustment aims to attract customers who were previously deterred by the high cost.
2. No Change in Price: The brand may choose to maintain the current price despite the low demand. This decision can stem from factors such as maintaining the brand image or relying on a niche market that is willing to pay a premium for the product. However, in such a situation, the brand may need to focus on marketing and branding efforts to emphasize the unique qualities or benefits of the jeans to justify their higher price.
3. Increase in Price: It is less likely that the brand would increase the price of the jeans if they are not selling well due to their high cost. Increasing the price further would likely deter even more customers and exacerbate the issue. However, if the brand has a particularly strong brand image or a highly loyal customer base that is willing to pay a premium, a price increase may be feasible in rare cases.
In summary, the price of the jeans is likely to be affected by the low demand resulting from the high cost. The brand may choose to decrease the price to boost sales or maintain the current price while focusing on marketing efforts to highlight the unique value proposition of the jeans. An increase in price is less probable given the low demand.
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Organisms A and B start out with the same population size. Organism A's population doubles every day. After 5 days, the population stops growing and a virus cuts it in half every day for 3 days. Organism B's population grows at the same rate but is not infected with the virus. After 8 days, how much larger is organism B's population than organism A's population? Answer the questions to find out. The expression showing organism A's decrease in population over the next 3 days is ( 1 2 ) ( 2 1 ) 3 . This can be written as (2–1)3. Write (2–1)3 with the same base but one exponent.
Answer:
The number of times organism B's population is larger than organism A's population after 8 days is 32 times
Step-by-step explanation:
The population of organism A doubles every day, geometrically as follows
a, a·r, a·r²
Where;
r = 2
The population after 5 days, is therefore;
Pₐ₅ = = 32·a
The virus cuts the population in half for three days as follows;
The first of ta·2⁵ he three days = 32/2 = 16·a
The second of the three days = 16/2 = 8·a
After the third day, Pₐ = 8/2 = 8·a
The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;
P₈ = a·2⁸ = 256·a
Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times
Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.
Company A
$4 per table (seats 4) and a $25 one-time delivery and pickup fee
Company B
$2 per chair and a $15 one-time delivery and pickup fee
Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table.
X = number of tables
Cost to rent tables from Company A: f(x) = 4x + 25
Cost to rent chairs from Company B: g(x) = 2(4x) + 15
Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with
them?
0 12x
O 12x2 + 40
12x + 40
0 8x + 40
Ma
Answer:
C. 12x + 40
Step-by-step explanation:
Got 100% on edge.
Answer:
c
Step-by-step explanation:
did the quiz 2021
1-3. Find the center point, the radius and the diameter for the following equation: x² + y2 = 16
Answer:
Center: (0, 0)
Radius: 4
Step-by-step explanation:
Circle Standard Equation: (x - h)² + (y - k)² = r²
(h, k) is center
r is radius
We see that our h and our k are both 0.
∴ Our center is (0, 0), origin.
We see that our r² = 16
√r² = √16
∴ Our radius is equal to 4
Suppose you deposit $134,000 into an account paying 8% simple annual interest, and that you won't touch the
account until it holds $1,000,000. How long must you wait?
Answer:
years. (Round your answer to the nearest year.)
Answer:
134,000x 0.08= 10,720= the money you get every year from interest
1,000,000/10,720= 93.28... or 93 years
Step-by-step explanation:
Simplify each. (-2)(-5/6)
Answer:
5/3
Positive 5 over 3
Step-by-step explanation:
(-2)(-5/6)
10/6
5/3
A store sells 8-foot boards for $2.40 each. What is the cost per foot?
Answer:
8x≤2.40, x ≤ $0.30
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints (-3,1 -2,8) (-4.92,-3.3)
Answer:
Step-by-step explanation:
(x₁ , y₁) = (-3.1 , -2.8) & (x₂ , y₂) = (-4.92 , - 3.3)
[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\=(\frac{-3.1-4.92}{2},\frac{-2.8-3.3}{2})\\\\\\=(\frac{-8.02}{2},\frac{-6.1}{2})\\\\\\=( -4.01 , -3.05)[/tex]
The circumference of a circle is 16Pi ft what is the radius
Answer:
Given circumference (C) = 16
Radius =
C =
2π
2.5464790894703
Diameter =
C =
π
5.0929581789407
Area =
C2 =
4π
20.371832715763
Step-by-step explanation:
We've all seen circles before. They have this perfectly round shape.
Every circle has a center, which is a point that lies exactly at the... well... center of the circle. A circle is a shape where the distance from the center to the edge of the circle is always the same. In order to calculate the radius, you need the circumferance or the diameter.
Answer:
Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter
Step-by-step explanation:
You started this year with $440 saved and you continue to save $11 per month.
Write an equation to model this situation (use m for months and s for savings).
(2x-3)^2=81
If x is a solution to the equation above and x > 0, what is the value of x?
X=
Answer:
putting roots on both sides,
[tex] \sqrt{(2x - 3)} {}^{2} = \sqrt{81} [/tex]
or, 2x-3 =9
or, 2x= 9+3
or, 2x = 12
Or, x = 12÷2
:. x=6
I NEED HELP ASAP
A square and a rectangle are modeled below. The perimeter of both shapes is equivalent. Create
the equation and solve for x.
Answer:
let side of square= x
breadth of rectangle= side if square= x
length of rectangle= y
perimeter of both are equal, so
4x= 2(y+x)
4x= 2y+2x
2x=2y
x=y
what is the value of x in the proportion
Answer:
5 2/5
Step-by-step explanation:
Multiply by (3 3/5)x/(1 1/2):
x = (2 1/4)(3 3/5)/(1 1/2) = (9/4)(18/5)(2/3) =27/5
x = 5 2/5
I need help on this question 133^4/133^1
Answer:
[tex]133^3[/tex] (or 2352637)
Step-by-step explanation:
[tex]\frac{133^4}{133^1}=133^{4-1}=133^3[/tex] (or 2352637 for exact value)
Find surface area of the regular pyramid plz help ASAP
Answer:
B. 3,157 in^2
Step-by-step explanation:
surface area of a pyramid shown = 3x lateral area + base area
given:
s1 = s2 = s3 = 42 in
L = 38 in
lateral area = ( 1/2 * 42 * 38 ) = 798 sq. in
base area = √3 * s^2
4
= √3 * 42^2
4
= 763.834 sq. in
therefore,
surface area of a pyramid shown = 3x 798 + 763.834 = 3,157 in^2
Answer:
= 3,157 in^2
Step-by-step explanation:
surface area = 3x lateral area + base area
given:
side lengths area s1 = s2 = s3 = 42 in
slant height = 38 in
lateral area = ( 1/2 * 42 * 38 )
= 798 sq. in
base area = (√3 * s^2 ) / 4
= (√3 * 42^2 ) / 4
= 763.83 sq. in
surface area = 3x 798 + 763.834
= 3,157 in^2
What is estimation? When is it helpful to use estimation?
Answer:
Estimation is the process of arriving at an approximate answer to a question. It is helpful to use estimation when you need to calculate something fast or the data/information your given is uncertain or unstable
Step-by-step explanation:
What is the area of the triangle?
20
16
12
units
Answer:
3840
Step-by-step explanation:
Hope this helps you out
The surface area Q of a certain shape is three times the product of u and the square of its width w.
Answer:
Q = 3uw
Step-by-step explanation:
Simplify
2 (0.1 + x) -8 (-X-0.3)
Answer:
0.2+2x+8x+2.4
10x+2.6
x=2.6-10
x=-7.4
What are the coordinates of r
What is the distance from the origin to point A graphed on the complex plane below?
Answer: B
Step-by-step explanation:
Answer:
option B, square root of 13
Step-by-step explanation:
i took the quiz on edge and got it right. :,)
How many gallons of paint are needed to paint the walls of a rectangular prism shaped room that is 20 ft by 13 ft and 8 ft high if 1 gallon of paint covers 40 square feet?
Answer:
20 Gallons of paint are needed.
Step-by-step explanation:
Surface Area of a rectangular prism formula is 2 * length * width + 2 * length * height + 2 * width * height.
Substituting the given values, we get:
SA = 2 * 20 * 13 + 2 * 20 * 8 + 2 * 13 * 8
SA = 1048
Area of the floor is length * width. 20 * 13 = 260
Subtract the area of the floor from SA as we do not paint the floor. 1048 - 260 = 788
The number of gallons of paint is 788 / 40 as each gallon covers 40 sq feet. We round this number up to ensure that we have more than enough paint. 788 / 40 = 19.7. Rounding that to 20.
Therefore, 20 gallons of paint are needed.
What are the lyrics to
Part of Your World?
Find the Slope using the Slope Formula 1. (8.6).(2-8)
Answer: 2.3 repeating
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Round to the nearest cent.
$24.373
Answer:
$24.400
Step-by-step explanation:
it means you should round to hundredth place
$24.37
A square tile has a side length of 10 cm what is the area of the tile
Answer:
Area = a²
= 10²
= 100
Step-by-step explanation:
Answer:
100 cm 2
Step-by-step explanation:
Area of square = s ^ 2
= 10 ^ 2
= 100 cm square
anyone do the Algebra 2 unit 1 test on edg?
Step-by-step explanation:
no not me .. I'm doing math unit test
The solution to the equation 3x + 7 = 16 - 2x is x = 9/5.
Option A is the correct answer.
We have,
To solve the equation 3x + 7 = 16 - 2x for x, we need to isolate the variable x on one side of the equation.
Let's solve it step by step:
Start with the original equation:
3x + 7 = 16 - 2x
- Add 2x to both sides of the equation to get rid of the -2x on the right side: 3x + 2x + 7 = 16 - 2x + 2x
- Simplifying, we have: 5x + 7 = 16
- Next, subtract 7 from both sides of the equation to isolate the term with x: 5x + 7 - 7 = 16 - 7
- Simplifying, we have: 5x = 9
- Finally, divide both sides of the equation by 5 to solve for x: (5x)/5 = 9/5
- Simplifying, we have: x = 9/5
Therefore,
The solution to the equation 3x + 7 = 16 - 2x is x = 9/5.
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The complete question:
Solve the following equation for x: 3x + 7 = 16 - 2x
a) x = 9/5
b) x = 5
c) x = 4
d) x = 6
can you help me please!!!!
please!!!! :)
Answer:
Qn.1
{4,5,6,7,8,9,12,15,16}is ans of 1
{8,9}is ans of 2
{4,5,6,7,8,9,18,20}is ans of 3
{}Is the ans of 4
{8,9,12,15,16,18,20}is ans of 5
{}is ans of 6
{4,5,6,7,8,9,12,15,16,18,20} is ans of 7
{8,9,12,15,16} is ans of 8
Qn.2
{0,12}is ans of 9
{0,2,10,12}is ans of 10
{0,4,6,8,12}is ans of 11
{2,4,6,8,10}Is ans of 12
{}is ans of 13
{0,12}is ans 14
{0,12} is ans 15
{0,2,10,12} is ans of 16
{0,12} is ans of 17
{0,12} is ans of 18
{2,10} is ans of 19
{4,6,8} is ans of 20
I haven't made the symbol of union and intersection because i don't how to make.
it may help you at your work