[tex]( {n}^{2} - 6n) + 6 = - 2[/tex]
Find the constant that makes the expression able to be squared. You have to subtract the separated constant by new constant as well.[tex]( {n}^{2} - 6n + 9) + 6 - 9 = - 2 \\ {(n - 3)}^{2} - 3 = - 2 \\ {(n - 3)}^{2} = 1[/tex]
Square Root both sides to get rid the squared expression. Make sure to write plus or minus.[tex] \sqrt{ {(n - 3)}^{2} } = + \sqrt{1} \\ \sqrt{ {(n - 3)}^{2} } = - \sqrt{1} \\ n - 3 = 1 \\ n - 3 = - 1[/tex]
[tex]n - 3 = 1 \: \: \: or \: \: \: n - 3 = - 1 \\ n = 1 + 3 \: \: \: or \: \: \: n = - 1 + 3 \\ n = 4 \: \: \: or \: \: \: n = 2[/tex]
Answer[tex] \large \boxed {n = 4,2}[/tex]
The ratio of chocolate to caramel in the candy jar is 4:1. If there are 15 caramels in the candy
jar, how many chocolates are in the candy jar?
Answer:
60
Step-by-step explanation:
15 times 4
Answer: There are 60 chocolates in the candy jar
*. John pulled a black sock from his drawer. He has 5 black socks, 4 navy socks, and 6 brown socks left in the drawer. He picks another sock at random. What is the probability it matches the black one? A.1/6 C. 1/3 B. 1/5 D. 1/2
Answer:
C
Step-by-step explanation:
1. Which polygon or polygons are regular?
The polygons that are regular are:
Triangle, Parallelogram, and Square.
Options A, B, and C are the correct answer.
What is a cube?It is a polygon having six faces.
The volume of a cube is side³.
We have,
A regular polygon is a polygon where all the sides are equal and the interior angles are equal.
Now,
Figure 1 is a triangle.
Figure 2 is a parallelogram.
Figure 3 is a square.
Figure 4 does not have the same side and the same interior angles.
Thus,
Figure 4 is not a regular polygon.
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Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation. Point: (5,4) Equation: y = 2/5x - 2
Answer:
y = (2/5)x + 2
Step-by-step explanation:
The given equation y = (2/5)x - 2 is already in slope-intercept form. The equation of the new line has precisely that form, except that the constant is different. To find the new constant (which is the y-intercept), replace x with 5 and y with 4 in y = (2/5)x + C:
4 = (2/5)(5) + C, or
4 = 2 + C. Therefore, C = 2 and the equation of the new line is y = (2/5)x + 2.
what are the steps to solving
2x−1(5−3x)=4x+2
Answering:
Step-by-step explanation:
How to solve your question
Your question is
2
Answer:
The answer is above :)
Step-by-step explanation:
Hope i helped
Plllllllllllllllllllllllzzzzzzzzzzzz help me out I’m confused 25 points
Answer:
0+9+-3=6
Step-by-step explanation:
Is this what you were looking for? Instructions are very vague.
The rate of change in y = 24x
Answer:
24
Step-by-step explanation:
Using the formula y = mx + b we can find the slope or rate of change. First we must convert it into the formula or equation we currently have which is y = 24x + 0.
24 = m
x = x
0 = b
m is always the rate of change or slope so by finding m we find the slope or rate of change.
Write the equation of the line in slope-intercept that has passes through the points (2,-5) and (8, 13).
Answer:
The equation of the straight line in Slope- intercept form
y = 3 x - 11
Step-by-step explanation:
Explanation:-
Given points are (2,-5) and (8, 13)
The Slope of the line
[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{13-(-5)}{8-2} = \frac{18}{6} =3[/tex]
Equation of the line having slope 'm' and given point
[tex]y - y_{1} = m (x - x_{1} )[/tex]
(x₁ , y₁) = ( 2, -5 )
[tex]y - (-5) = 3 (x - 2 )[/tex]
y + 5 = 3x - 6
The equation of the straight line in slope intercept form
y = m x + c
y = 3 x - 6-5
y = 3 x - 11
Final answer:-
The equation of the straight line in Slope- intercept form
y = 3 x - 11
Find the slope.....................
Answer:
-1 :)
Step-by-step explanation:
7. What is the y-intercept of a line that passes through the points (1.-7) and point
(5,-25)?
1. 2.5
2. -2.5
3. 2
If the manufacturer gains 6 %, the wholesale dealer 8% and the retailer 10 %. Then what
is the production cost of geyser whose retail price is Rs. 15741?
Answer:
The production cost is Rs 12,500
Step-by-step explanation:
Let the production cost be $x
At any point in time
sales price = cost price +( profit percentage* cost price)
Manufacturer gaining 6%
That would be;
x + 6% of x
x + 0.06x
= 1.06x
Wholesaler gaining 8%
= 1.06x + 8% of 1.06x
1.06x + 0.08(1.06x)
= 1.06x + 0.0848x
= 1.1448x
The for the retailer
= 1.1448x + 10% of 1.1448x
= 1.1448x + 0.11448x
= 1.25928x
1.25928x = 15,741
x = 15,741/1.25928
x = 12,500
The student council at Greenwood High School is selling T-shirts for $20 apiece. Their costs are $5 per shirt, plus $45 for supplies. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts do they need to sell to break even? How much in costs will they have incurred at that point?
Answer: 3 shirts
Step-by-step explanation:
so they are 20 a piece
5+45=50
they need to raise $50
1= 20
2=40
3=60
Answer:
Step-by-step explanation:
please help me . beg you .
Answer:
24.3 cm
Step-by-step explanation:
length AC= 20²+12²= 544
√544= 23.3 cm
answer = 23.3²+7²= 591.89
√591.89= 24.3 cm
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A cafe sells cakes and scones.
On Tuesday, the ratio of the number of cakes sold to the number of scones sold was
5:2
On Tuesday, the cafe sold 80 scones.
How many cakes were sold on Tuesday?
Answer:
200 cakes
Step-by-step explanation:
1) divide 80 by 2 to get 40
2) times 40 by 5 50 get 200
answer is 200 cakes sold on Tuesday
On Tuesday, the cafe sold 200 cakes which is the ratio of the number of cakes sold to the number of scones sold was 5:2.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".
We have been given that the ratio of the number of cakes sold to the number of scones sold was 5:2, on Tuesday.
On Tuesday, the cafe sold 80 scones.
Let's assume that x number of cakes sold on Tuesday
According to the given condition, the proportion would be
5 cakes : 2 scones = x cakes : 80 scones
⇒ 5/2 = x /80
Apply the cross multiplication,
⇒ 5 × 80 = 2x
⇒ 400 = 2x
⇒ 2x = 400
⇒ x = 400/2
⇒ x = 200
Therefore, on Tuesday, the cafe sold 200 cakes.
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Walter took a total of 16 quizzes over the course of 2 weeks. After attending 4 weeks of school this quarter, how many quizzes will Walter have taken in total?
Answer:
32 quizzes
Step-by-step explanation:
It is given that,
Walter took a total of 16 quizzes over the course of 2 weeks.
16 quizzes = 2 weeks
⇒ 1 weeks = 8 quizzes
We need to find attending 4 weeks of school this quarter, how many quizzes will Walter have taken in total.
⇒ 4 weeks = 4 × 8 quizzes
= 32 quizzes
So, 32 quizzes will Walter have taken in total.
Stir-fry is Felix's favorite food to cook, but it always makes a lot of smoke! Felix needs to know the volume of his kitchen so he can buy a fan that is the right size. Felix's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Felix's kitchen?
Answer:
680
Step-by-step explanation:
85x8
Answer: 680 cubic feet
Step-by-step explanation:
V = B * hV = 85 * 8V = 680 cubic fettsolve the inequality
please .. if you can show your work i dont understand it
Answer:
X ≥ 3
Step-by-step explanation:
First you simplify, as if the ≤ is an = (just don't multiply with a negative number)
27 = 7X + 6
27 - 6 = 7X
21 = 7X
3 = X
Then you put the ≤ back in
3 ≤ X
and put the X up front. The ≤ then swaps into a ≥
Finally, you can do a test with X = 2 (should be false) and X=4 (should be true), to check wether you made any mistakes.
Which expression is equivalent to 9x - (x − 8)(x + 1) + 10x? - x² + 19x+8 -x^2+26x+8 8x^2 + 10x+8 8x^2 +26x+8
Answer:
173x^2+107x+24
Step-by-step explanation:
9x-x^2+7x+8+10x-x^2+19x+8-x^2+26x+88x^2+10x+88x^2+26x+8
173x^2+107x+24
what is the unit rate of 128 dog food for 16 dogs
Answer:
128 ÷ 16 = 8
so 8 dog food for every dog
Mrs. Larson, the science teacher, collected 18 sedimentary rocks and 12 metamorphic ones. Now she wants to create some identical kits for studying rocks, without having any rocks left over. What is the greatest number of kits she can create?
Answer:
The greatest number of kits she can create is 6 kits
Step-by-step explanation:
We can solve the above question using the greatest common factor method.
We have to find the factors of 18 and 12
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
Then the greatest common factor is 6.
Therefore, greatest number of kits that she can create is 6 kits
The number of sedimentary rocks in each kit
18 sedimentary rocks /6 kits = 3 sedimentary rocks
The number of Metamorphic rocks in each kit =
12 metamorphic ones/ 6 kits = 2 metamorphic rocks
Help please points!!!!!!!!!!!
Answer:
|-7| + |-4| = 11
Step-by-step explanation:
!!
Answer:
answer is (-11)
Step-by-step explanation:
[-7] + [-4]
= -7 -4
= -11
:-))
What is the length of segment BE?
A) 2
B) 4
C) 6
D) 8
Answer:
4........
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Show the different measuring instruments to be used in the economic/business system of the new civilization.
PLSS HELP
Answer:
What Is Economics?
Economics is a social science concerned with the production, distribution, and consumption of goods and services. It studies how individuals, businesses, governments, and nations make choices about how to allocate resources. Economics focuses on the actions of human beings, based on assumptions that humans act with rational behavior, seeking the most optimal level of benefit or utility. The building blocks of economics are the studies of labor and trade. Since there are many possible applications of human labor and many different ways to acquire resources, it is the task of economics to determine which methods yield the best results.
Economics can generally be broken down into macroeconomics, which concentrates on the behavior of the economy as a whole, and microeconomics, which focuses on individual people and businesses.
KEY TAKEAWAYS
Economics is the study of how people allocate scarce resources for production, distribution, and consumption, both individually and collectively.
Two major types of economics are microeconomics, which focuses on the behavior of individual consumers and producers, and macroeconomics, which examine overall economies on a regional, national, or international scale.
Economics is especially concerned with efficiency in production and exchange and uses models and assumptions to understand how to create incentives and policies that will maximize efficiency.
Economists formulate and publish numerous economic indicators, such as gross domestic product (GDP) and the Consumer Price Index (CPI).
Capitalism, socialism, and communism are types of economic systems.
Understanding Economics
Schools of Economic Theory
There are many competing, conflicting, or sometimes complementary theories and schools of thought within economics.
Economists employ many different methods of research from logical deduction to pure data mining. Economic theory often progresses through deductive processes, including mathematical logic, where the implications of specific human activities are considered in a "means-ends" framework. This type of economics deduces, for example, that it is more efficient for individuals or companies to specialize in specific types of labor and then trade for their other needs or wants, rather than trying to produce everything they need or want on their own. It also demonstrates trade is most efficient when coordinated through a medium of exchange, or money. Economic laws deduced in this way tend to be very general and not give specific results: they can say profits incentivize new competitors to enter a market, but not necessarily how many will do so. Still, they do provide key insights for understanding the behavior of financial markets, governments, economies—and human decisions behind these entities.
Economic Indicators
Economic indicators are reports that detail a country's economic performance in a specific area. These reports are usually published periodically by governmental agencies or private organizations, and they often have a considerable effect on stocks, fixed income, and forex markets when they are released. They can also be very useful for investors to judge how economic conditions will move markets and to guide investment decisions.
Consumer Price Index (CPI)
The Consumer Price Index (CPI), also issued by the BLS, measures the level of retail price changes (the costs that consumers pay) and is the benchmark for measuring inflation. Using a basket that is representative of the goods and services in the economy, the CPI compares the price changes month after month and year after year.7 This report is one of the more important economic indicators available, and its release can increase volatility in equity, fixed income, and forex markets. Greater-than-expected price increases are considered a sign of inflation, which will likely cause the underlying currency to depreciate.
Feudalism
Later, as civilizations developed, economies based on production by social class emerged, such as feudalism and slavery. Slavery involved production by enslaved individuals who lacked personal freedom or rights and were treated as the property of their owner. Feudalism was a system where a class of nobility, known as lords, owned all of the lands and leased out small parcels to peasants to farm, with peasants handing over much of their production to the lord. In return, the lord offered the peasants relative safety and security, including a place to live and food to eat.
Socialism
Socialism is a form of cooperative production economy. Economic socialism is a system of production where there is limited or hybrid private ownership of the means of production (or other types of productive property) and a system of prices, profits, and losses is not the sole determinant used to establish who engages in production, what to produce and how to produce it. Segments of society band together to share these functions
Find the value of V31.36
Please help with this!! I will mark brainliest! I just need a simple explanation
Answer: x = 29
Step-by-step explanation:
The four angles of a Parallelogram equal to 360. Its name is derived from the fact that its made up of two sets of parallel lines which means that its opposite angles are equivalent. Fortunately, you are given the values for the angles that are not equivalent which means you can create an equation and solve for x.
5x - 23 + 5x - 23 + 2x + 2x = 360
14x - 46 = 360
14x = 406
x = 29
Warren used 1/2 of tube of toothpaste and 1/3 of a year at that rate how much toothpaste would he use in one year
Answer:
3 toothpaste
Step-by-step explanation:
Tube of toothpaste : year
1/2 : 1/3
how much toothpaste would he use in one year
Tube of toothpaste : year
x : 1
Seductions
1/2 : 1/3 = x : 1
1/2 ÷ 1/3 = x / 1
1/2 × 3/1 = x/2
3/2 = x/2
x = 3/2 ÷ 1/2
= 3/2 × 2/1
= 6/2
x = 3 toothpaste
Answer:
its 1 1/2
Step-by-step explanation:
Find Warren's rate in tubes of toothpaste per year. Divide
1
2
of a tube of toothpaste by
1
3
of a year.
To divide by
1
3
, multiply by its reciprocal, 3.
1
2
÷
1
3
=
1
2
3
=
13
2
Simplify.
13
2
=
3
2
= 1
1
2
Warren used the toothpaste at a rate of 1
1
2
tubes per year. So, he would use 1
1
2
tubes in 1 year.
A square garden is changed into a rectangle, length is doubled and with is 3metres less. Area of the new garden is 25% more than the original area. What was the original area?
Answer:
30
Step-by-step explanation:
30
if u answer ill give brainlist
Answer:
120; 643 units squared
Step-by-step explanation:
Perimeter: Add all the sides, so 120 units
_________________________________
Area: First multiply 19 by 24 for the first shape within this other shape, so That equals 456 units squared. Since we know that one whole side is 36 we can subtract 19 from it to get the lower side of the smaller shape and then multiply that by 11. So the smaller side ends up being 17. So 17 times 11 equals: 187 units squared. Then just add the areas together 187+456=643 units squared.
Justin has $57.18 in his checking account. He deposits his paycheck of $256.79. He then buys $68.42 in groceries, $50.00 in gas, and 2 movies for $15.58 each. What is the new balance in Justin’s checking account?
Fuel from PDV pump A costs four dollars per gallon and from PDV pump B costs two dollars per gallon. Mark has at most $24 to spend on fuel. Write and graph the system of linear inequalities.
Answer: asically plot down each from the least
Step-by-step explanation: