Answer:
x=-11
Step-by-step explanation:
17+x/6=0
17+x=6
x=-11
1) 2x + y = 12
x + 2y = 9
Solve the following systems algebraically and check
Answer: x = 5, y = 2; Solution = (5, 2)
Step-by-step explanation:
Substitution
2x + y = 12
x + 2y = 9
x + 2y = 9
Subtract 2y from both sides
x = 9 - 2y
Now, substitute x for (9 - 2y) in the first equation
2x + y = 12
2 (9 - 2y) + y = 12
Distribute 2
18 - 4y + y = 12
18 - 3y = 12
Subtract 18 from both sides
-3y = -6
Divide both sides by -3
y = 2
Now to find x, substitute 2 for y in (x = 9 - 2y)
x = 9 - 2y
x = 9 - 2(2)
x = 9 - 4
x = 5
Solution: (5, 2)
Elimination
2x + y = 12
x + 2y = 9
Multiply the second equation by -2 to find y
2x + y = 12
(x + 2y = 9) -2
2x + y = 12
-2x - 4y = -18
Add both equations
2x and -2x are cancelled out
You get:
-3y = -6
Divide both sides by -3
y = 2
Substitute 2 for y in any of the equations to find x
I chose x + 2y = 9
x + 2y = 9
x + 2 (2) = 9
x + 4 = 9
Subtract both sides by 4
x = 5
Solution = (5, 2)
Btw you can use any of these methods, I used both so you could know that you get the same answer no matter the method.
Hope I helped!
Candice's proof is a direct proof because . Joe's proof is a direct proof because . Reset Next
They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning
Candice's proof is a direct proof because it establishes the truth of a statement by providing a logical sequence of steps that directly lead to the conclusion. In a direct proof, each step is based on a previously established fact or an accepted axiom. The proof proceeds in a straightforward manner, without relying on any other alternative scenarios or indirect reasoning.
Candice's proof likely involves stating the given information or assumptions, followed by a series of logical deductions and equations. Each step is clearly explained and justified based on known facts or established mathematical principles. The proof does not rely on contradiction, contrapositive, or other indirect methods of reasoning.
On the other hand, Joe's proof is also a direct proof for similar reasons. It follows a logical sequence of steps based on known facts or established principles to arrive at the desired conclusion. Joe's proof may involve identifying the given information, applying relevant theorems or formulas, and providing clear explanations for each step.
Direct proofs are commonly used in mathematics to prove statements or theorems. They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning. By presenting a direct chain of deductions, these proofs build a solid argument that leads to the desired result, without the need for complex or indirect reasoning.
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I kinda need help with this
Answer:
7.
Step-by-step explanation:
What you can do to figure it out is divide 35 by all the answers. If it comes out even that's the answer. 35/7 = 35
hope this helps, good luck :)
what s the domain for d(x)=850(0.94)x
Given:
The function is
\(d(x)=850(0.94)^x\)
To find:
The domain of the function.
Solution:
Domain is the set of input values.
We have,
\(d(x)=850(0.94)^x\)
It is an exponential function, with initial value 850 and decay factor 0.94 because 0.94<1.
The exponential functions are defined for all real values of x. So, the domain of exponential function is always the set of all real numbers.
Therefore, the domain of the function d(x) is the set of all real numbers, i.e., R.
A game show contestant starts a game by answering two questions incorrectly. Each incorrect answer costs the contestant $600. Use a product of two integers to show the point total that would appear for the contestant. pls. help
Answer:
the answer of the question is -1,200
What’s the value of x
Answer:
2
Step-by-step explanation:
20-7x=6x-6
20+6=6x+7x
26=13x
x=2
What is the coefficient of the last term in the binomial expansion of (x + 1)9?
Answer:
1 is the coefficient of the last term in the binomial expansion
the interquartile range (iqr) is a measure of the ____________ of the middle ____________ percent of the data.
The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.
The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.
The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.
By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.
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whats the midpoint of (2,2) and (10,10)
Answer:
Midpoint=(6,−354)
Step-by-step explanation:
I solved this using the MidPoint Calculator:) Im a 7th grader.
Write one digit on each side of 36 to make a four-digit multiple of 36. How many different solutions does this problem have?
9514 1404 393
Answer:
3 solutions: 1368, 5364, 9360
Step-by-step explanation:
In order to be divisible by 36, the number must be divisible by 9 and by 4. The number will be divisible by 9 if the sum of its digits is divisible by 9. 36 already has a digit sum of 9, so the two added digits must sum to 9.
The number will be divisible by 4 if the least-significant digit is a multiple of 4. That is, it must be 0, 4, or 8. Then the corresponding most-significant digits must be 9, 5, or 1.
The three solutions are ...
1368 = 38 · 36
5364 = 149 · 36
9360 = 260 · 36
Please help like now!!! asap
Answer:
4/8 is left in the glass ;)
Answer:
1/2
Step-by-step explanation
???
a) Find the model value of the given data:
2,3,6,5,4,3,4,6,3
Answer:
9
Step-by-step explanation:
bcs 3 is the mode you do 3+3
Answer:
3
Step-by-step explanation:
3 is the model value of the given data because it repeats maximum number of time.
10th
3770
Andre wants to save $40 to buy a gift for his dad. Andre's neighbor
will pay him weekly to mow the lawn, but Andre always gives a $2
donation to the food bank in weeks when he earns money. Andre
calculates that it will take him 5 weeks to earn the money for his
dad's gift. He draws a tape diagram to represent the situation.
Explain how the parts of the tape diagram represent the story.
Answer:
10cm represents $10
2cm represents $2
10cm also represents 1week
For every week Andre checks 10cm, deduct 2cm which represents $2 donation for food bank, and remaining 8cm represents $8 left for his Dad's gift.
in 5weeks, which is 50cm, save $8 per week/ per 8cm = $8 × 5 = $40
in 5weeks, which is 50cm, he donate $2 per week/ per 2cm = $2 × 5= $10
Find −1/4(−8.6) . Write your answer as a decimal to the nearest hundredth.
Answer:
2.15
Step-by-step explanation:
I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):
(-1/4)*(-8.6)
= (8.6/4)
= 2.15
If 15 people start a race, in how many different ways can the top 3 finishers be determined?
Hence, 15 people out of 3 people can be chosen in 35 ways.
Combinations:It is a method that helps us to determine the number of possible ways an item can be chosen given that the order of selection does not matter. Hence we are free to select the items in any order.Combinations are often confused with permutations. Permutations are the number of ways the given items can be arranged. Here the order is important.The formula for combinations:If we have 'n' items and we are required to choose 'r' items, the number of ways in which it can be done is calculated as:\(^{n}C_{r} }\) = \(\frac{n!}{(n-r)!r!}\)It is given that:
The total number of people in a race, n = 15
The number of finalists, r = 3.
Hence, the number of ways in which 3 people out of the 15 people can be finishers are:
\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.
Hence, 15 people out of 3 people can be chosen in 35 ways.
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how many solutions does −5x+12=−12x−12 have
Answer:
one solution, x = - \(\frac{24}{7}\)
Step-by-step explanation:
- 5x + 12 = - 12x - 12 ( add 12x to both sides )
7x + 12 = - 12 ( subtract 12 from both sides )
7x = - 24 ( divide both sides by 7 )
x = - \(\frac{24}{7}\)
4x + 3 < 3 OR 4x + 3 > 19
\(4x + 3 > 19\)
Step-by-step explanation:
\(4x + 3 > 19 \\ 4x + 3 - 3 > 19 - 3 \\ 4x > 16 \\ 4x \div 4 > 16 \div 4 \\ x > 4\)
What is the equation for a circle with the center, (0,0) and a radius of 4?
Answer:
(X-x0)^2 +(y-y0)^2= r^2
R=4
R^2=16
(X-0)^2+(y-0)^2=16
Expand and simplify 2(x-4)+3(x+5)
Answer:
5x + 7
Step-by-step explanation:
\(2(x - 4) + 3(x + 5) = 2x - 8 + 3x + 15 = 5x + 7\)
Pretty please answer asap! thank you so much for your time <333
:D
Answer:
B
Step-by-step explanation:
Two lines are perpendicular if and only if the product of their slopes is . In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line perpendicular to that slope must be the negative reciprocal of 3, or .
Answer:
B
Step-by-step explanation:
B because the slope/ gradient is -1/2, which is the reciprocal of the equation's gradient that we have, which is 2.
You read in a book on baseball that your favorite player gets on base 41% of the time he goes to bat. What does this indicate
When the book on baseball states that your favorite player gets on base 41% of the time he goes to bat, this percentage indicates the player's on-base percentage (OBP), a measure of how often a batter reaches base through hits, walks, or being hit by a pitch.
The on-base percentage is an important statistic in baseball as it helps to evaluate a player's offensive contribution to their team. A higher OBP means the player is more successful at getting on base, creating more scoring opportunities for their team. In this case, a 41% OBP for your favorite player signifies that they are quite proficient in reaching base.
To calculate the OBP, you can use the formula:
OBP = (Hits + Walks + Hit by Pitch) / (At Bats + Walks + Hit by Pitch + Sacrifice Flies)
Having a 41% OBP means that, on average, your favorite player reaches base 41 times out of 100 plate appearances. This is considered an above-average performance for a batter, as the league average OBP typically hovers around 32%. Your favorite player's OBP demonstrates that they are an effective offensive player, contributing to their team's success by getting on base more frequently than the average player.
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A student begins to build a model of a downtown bridge in the city where he lives. He
measures some of the angles formed by the sides of the model.
The student says both x and y are 65. Why is he incorrect? Use the drop-down menus t
explain your answer.
Considering supplementary angles, we have that the measures of x and y are given as follows:
x = 50º.y = 80º.We also have that x and y have different measures, hence the student is incorrect, and x and 40º are complementary.
What are supplementary angles?Supplementary angles are angles whose measures add to 180º.
The three internal angles of a triangle are supplementary, hence we can find x as follows:
90 + 40 + x = 180
130 + x = 180
x = 50º.
Angles x, y and 50º are also supplementary, hence:
x + y + 50 = 180
50 + y + 50 = 180
y = 80º.
The angles with measures x and 40º are complementary, as they add to 90º.
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Answer:
sum up to 130 but not equal
Step-by-step explanation:
What are the roots of the equation
The roots of the equation are 9 + 3i and 9 - 3i in simplest a + bi form.
What is meant by roots?
A root is a value that satisfies an equation, for example, the solution of an equation when set equal to zero. The roots of an equation are often called solutions or zeros of the equation.
What is a equation?
An equation is a mathematical statement that shows that two expressions are equal. It usually consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.
According to the given information
To find the roots of the equation x² - 18x + 90 = 0 in simplest a + bi form, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a = 1, b = -18, and c = 90.Plugging in these values, we get:
x = (18 ± √((-18)² - 4(1)(90))) / 2(1)
x = (18 ± √(324 - 360)) / 2
x = (18 ± √(-36)) / 2
The discriminant (-36) is negative, which means that the roots are complex conjugates. Therefore, we can simplify the expression as follows:
x = (18 ± 6i) / 2
x = 9 ± 3i
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i rlly need help with this, i don’t understand it at all
Answer:It wants you to find the different angles and i suppose find x and plug it in
Step-by-step explanation:
Which equation demonstrates distributive property?
A: 55+22=77
B: 55+=22=11 (5+2)
C: 55 x 22= 22 x 55
D: (5+2) 11=11 (5+2)
Answer:
hey there, the answer is b
Step-by-step explanation:
HELP FAST SELECT TWO!!!!
Answer:
2 and 5 are the answers
Step-by-step explanation:
The other ones are blatantly false
Answer: 2 and 5 but don't take my word for it.
Step-by-step explanation:
Find the volume of the parallelepiped determined by the vertices (0, 1, 0), (1, 1, 1), (0, 2, 0), (3, 1, 2)
The volume of the parallelopiped is 1 cubic units.
In this question,
A parallelepiped is a three-dimensional shape with six faces, that are all in the shape of a parallelogram. It has 6 faces, 8 vertices, and 12 edges. The volume of a parallelepiped is the space occupied by the shape in a three-dimensional plane.
Let the parallelepiped be PQRS.
The vertices of parallelepiped are P(0, 1, 0), Q(1, 1, 1), R(0, 2, 0), S(3, 1, 2).
The volume of parallelopiped can be found by using following steps.
PQ = Q - P = (1,0,1)
PR = R - P = (0,1,0)
PS = S - P = (3,0,2)
Now, the volume of parallelopiped is
\(v=\left\begin{vmatrix}1&0&1\\0&1&0\\3&0&2\end{vmatrix}\)
The determinant the matrix is
⇒ 1(2-0) - 0(0-0) + 1(0-3)
⇒ 1(2) - 0 + (-3)
⇒ 2 - 3
⇒ -1
Hence we can conclude that the volume of the parallelopiped is 1 cubic units.
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13 people fit comfortably in a 5 foot by 5 foot area. Use this value to estimate the size of a crowd that is 5 feet deep on one side of the street along a 4 mile section of a parade route.
Answer:
There are 203069 people in the crowd
Step-by-step explanation:
The first step in solving this problem is to ensure that we are working with the same units throughout the solution process. To do this, we will have to convert 4 miles to feet. (This is because every other unit is in feet).
Note: ( 1 mile =5280 feet)
4 miles = 21120 feet.
The next step is to calculate the area that the entire parade is occupying. This can be done by multiplying the length of the parade by the breadth. In this case, it will be 21120ft X 5 ft = 105600 square feet.
We can now at this point, find the area occupied by only one person.
if 13 people occupy 25 square feet (5ft X5 ft)
1 person will occupy 25/13 = 1.92 square feet
We can finally get the number of people in the crowd by multiplying the area occupied by the whole crowd by the area of one person. This will be
105600 X 1.92= 203069 people in the crowd
the lengths of the sides of a triangle are 2n, n^2 and n+5 for what value of n do these lengths not make a triangle ?
Answer:
Step-by-step explanation:
Try n = 2
2n = 4
n^2 = 4
n+5 = 7 That works. It will make a triangle since the 2 smallest numbers are bigger than 7
Try n = 3
2n = 6
n^2 = 9
n + 5 = 8 That works. Same reason as above.
n = 4
2n = 8
n^2 = 16
n + 5 = 9 That works. Same reason.
n = 5
2n = 10
n^2 = 25
n+5 = 10 Aha! That doesn't work. the two smaller numbers only = 20.
There are likely many numbers that don't work. I'll try one more
n = 6
2n = 12
n + 5 = 11
n^2 = 36 This won't work either. Same reason as n = 5.
What does multiplicity mean in math?
The phrase "number of values for which a certain condition holds" is referred to as multiplicity. The phrase, for instance, can be used to describe the magnitude of the totient valence function or the frequency with which a given polynomial equation has a root at a specific location.
Let z_0 be a root of a function f, and let n be the least positive integer n such that f^((n))(z_0)!=0. Then the power series of f about z_0 begins with the nth term,
f(z)=sum_(j=n)^infty1/(j!)(partial^jf)/(partialz^j)|_(z=z_0)(z-z_0)^j,
and f is said to have a root of multiplicity (or "order") n. If n=1, the root is called a simple root '
The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.
It's crucial to understand the concept of multiplicity in order to correctly count without mentioning exceptions (for example, double roots counted twice). Thus, "counted with multiplicity" is used.
This can be highlighted by counting the number of different elements, as in "the number of separate roots," if multiplicity is disregarded. However, multiplicity is always taken into account when a set (as opposed to a multiset) is established, therefore the word "different" is not necessary.
Hence ,Multiplicity means the quality or state of being multiple or various. and
the number of components in a system (such as a multiplet or a group of energy levels)
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Let z_0 be a root of a function f, and let n be the least positive integer n such that f^((n))(z_0)!=0. Then the power series of f about z_0 begins with the nth term,
f(z)=sum_(j=n)^infty1/(j!)(partial^jf)/(partialz^j)|_(z=z_0)(z-z_0)^j,
and f is said to have a root of multiplicity (or "order") n. If n=1, the root is called a simple root '
The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.