When we look at the trinomial, there is no number (coefficient) in front of x² , so we know that it is a simple trinomial. All you have to do in a simple trinomial is to find two numbers that not only add up to the b term, but multiply to the c term.
In this trinomial, the b term is 13 , so you need to find two numbers that add up to 13 . That could be
\(5 \: an d \: 8\)\(6 \: and \: 7\)\(11 \: and \: 2\)and so on. But these two numbers need to multiply to get the c term. In this case, it's 42 . So what two numbers add up to 13 and multiply to 42 ? The answer is 6 and 7 .
\(6 + 7 = 13\)
and
\(6 \times 7 = 42\)
After this, all you need to do is put this in binomial form, so take an x , and add your first number
\((x + 6)\)
6(3x+4)+2(2x+2)+2=22x+31 solve the equation for the given variable
The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.
What is the solutuon to the given equation?Given the equation in the question:
6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31
To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.
Apply distributive property:
6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31
18x + 24 + 4x + 4 + 2 = 22x + 31
Collect and combine like terms on both sides:
22x + 30 = 22x + 31
Next, we want to isolate the variable x on one side.
22x - 22x + 30 = 22x - 22x + 31
30 = 31
However, we notice that the x terms cancel out when subtracted:
30 ≠ 31
This means that there is no solution.
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A bond is worth $100 and grows in value by 4 percent each year. Assuming this bond compounds quarterly, what is the value of the bond after 5 years?
Responses
$121.67
$122.02
$122.67
$120.00
Answer:it will be D
Step-by-step explanation: because $100 + 4%=$100.4
Which is bigger 1 ton or 253 pounds
Answer:
1 ton
Step-by-step explanation:
1 ton = 2000 lb
2000 lb > 253 lb
Answer: 1 ton
The integer that is 25 more than -435 is
a) -450
b) -460
c) -410
d) 460
Answer:
-410
Step-by-step explanation:
Hope this will help you dude
Answer:
c) -410
Step-by-step explanation:
-435 + 25 = -410
If the standard deviation of returns on the market is 20 percent, and the beta of a well-diversified portfolio is 1.5. Calculate the standard deviation of this portfolio.
a. 30 percent.
b. 20 percent.
c. 15 percent.
d. 10 percent.
Answer:
a. 30 percent.
Step-by-step explanation:
Given that:
The standard deviation of returns = 20 percent
Beta = 1.5
Beta=Standard deviation of portfolio × correlation/Standard deviation of market × Correlation
Since Correlation with the market will be +1;
Then;
The Standard deviation of portfolio = 1.5 × 20%
The Standard deviation of portfolio = 30.00%
1. 2/8 divided by 4 2. 3/9 divided by 6
Answer:
1. 1/16
2. 1/18
Answer:
1. 1/16
2. 1/18
please solve the question attached
1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.
2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.
What more should you know about the producer thoery?In the standard producer theory, a producer minimizes costs for a given level of output.
This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).
The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).
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Yea thank goodness is not the only part I know
a.
Insides:
\(u=-5e^x+12x\)Outside:
\(y=\sqrt{u}\)b.
Use the chain rule to find the derivate:
\(\frac{d}{dx}(y(u))=\frac{d}{du}(y(u))*\frac{d}{dx}u\)\(\begin{gathered} \frac{d}{dx}(y)=\frac{d}{du}\sqrt{u}*\frac{d}{dx}(-5e^x+12x) \\ \\ \frac{dy}{dx}=\frac{1}{2\sqrt{u}}*(-5e^x+12) \\ \\ \frac{dy}{dx}=\frac{-5e^x+12}{2\sqrt{u}} \\ \\ \frac{dy}{dx}=\frac{-5e^x+12}{2\sqrt{-5e^x+12x}} \\ \end{gathered}\)Derivate:
\(\frac{dy}{dx}=\frac{-5e^x+12}{2\sqrt{-5e^x+12x}}\)Calvin's credit card computes finance charges using the daily balance method. His card has a billing cycle of 30 days and an APR of 14.75%. The following table details Calvin's transactions in the month of September. Date 9/1 Amount ($) Transaction 716.54 Beginning balance 84.94 Purchase 977 9/12 Purchase 15.69 200.00 9/20 Payment What will Calvin's starting balance be next month? a. $617.17 b. $624.74 c. $625.91 d. $623.52
Answer:
c. 625.91
Step-by-step explanation:
took the quiz an got 100%
The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
What is APR?The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.
We have:
His card has a billing cycle of 30 days and an APR of 14.75%.
Here the list data is not mentioned, clearly. Transactions with the amount.
As we know, the APR is the annual percentage rate, which is 14.75%.
Monthly percentage rate = 14.75/12 = 1.22%
But we can calculate the new balance with the formula:
Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance
Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
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Classify each angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles.123145 67189 1011/1213 141516a Z1 and Z9b. Z6 and 215C. 22 and 251d 23 and 2101:: Corresponding Angles:: Alternate Interior Angles:: Alternate Exterior Angles:: Consecut
According to the given graph, we have the following:
• Angles 1 and 9 are ,corresponding angles.
,• Angles 6 and 15 are ,alternate exterior angles.
,• Angles 2 and 5 are ,consecutive interior angles.
,• Angles 3 and 10 are ,alternate interior angles.
hello can you help me with this question
Answer:
B. x is less than or equal to 5
Step-by-step explanation:
The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to
In this case it is less than or equal to because the line goes to the left
Hope this helped!
Jerrica and her brother like to play chess. About a month ago they decided to keep track of how manygames they have won. As of today, Jerrica has won 20 out of the 35 games against her brother.
a. How many games would Jerrica have to win in a row in order to have an 80% winning record?
Justify your answer.
Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.
To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.
Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.
To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:
(20 + x) / (35 + x) = 80 / 100
Cross-multiplying, we get:
100(20 + x) = 80(35 + x)
Expanding and simplifying:
2000 + 100x = 2800 + 80x
Subtracting 80x from both sides:
20x = 800
Dividing by 20:
x = 40
Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.
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The temperature in Chicago, Illinois, was recorded one night. Over a three-hour span, the temperature fell 12ºF. What integer represents the average change in temperature per hour?
ºF
Answer:
4
Step-by-step explanation:
\(12/3=4\\x/t=r\\\)
(x is input, t is time, r is rate of change)
Find the solution for a 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
Answer:
Step-by-step explanation:
Answer:
A^n = [4^n 4^n
0 1]
Step-by-step explanation:
To find the solution for the 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:
A^1 = [4 4
0 1]
Now, let's solve for A^2 by multiplying A^1 by A:
A^2 = A x A^1
= [4 4 [4 4
0 1] 0 1]
= [16 16
0 1]
Next, let's solve for A^3:
A^3 = A x A^2
= [4 4 [16 16
0 1] 0 1]
= [64 64
0 1]
We can see a pattern emerging:
A^1 = [4 4
0 1]
A^2 = [16 16
0 1]
A^3 = [64 64
0 1]
We can generalize this pattern as follows:
A^n = [4^n 4^n
0 1]
Therefore, the solution for the 2x2 matrix A raised to the nth power is:
A^n = [4^n 4^n
0 1]
Help ?!!!!?!?????????????????
What type of angle is shown below?
acute
straight
obtuse
right
Answer:
Acute
Step-by-step explanation:
So, straight would be a line, right would be like a corner of a square, acute would be less than a right, and obtuse would be more than a right but less than a straight.
.. Discuss the nature of the root of equation x2 + 2x + 3 = 0
Answer:
No real rootsStep-by-step explanation:
Given equation:
x² + 2x + 3 = 0On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3
To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.
\(~\)
Two Distinct real roots, if b² - 4ac > 0Two equal real roots, if b² - 4ac = 0No real roots, if b² - 4ac < 0\( \\ \: \: \dashrightarrow \: \: \: \sf {b}^{2} - 4ac = 0 \\ \\ \\\: \: \dashrightarrow \: \: \: \sf (2)² - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 12 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf {\underline{\boxed{\sf{\purple{ -8 > 0}}}}} \\ \\ \)
The discriminant is smaller than 0.
Hence, Equation has no real roots (no solution)Question: How many miles can we paddle in 1 hour at the Los Angeles river?
The river is going at 25 mph
and you are paddling at a consistent rate
Answer:
125 mph
Step-by-step explanation:
The river is going 25 mph every 20 minutes
\(20\) \(minutes=25\)\(40\) \(minutes=50\)\(60\) \(minutes=75\) \(80\) \(minutes =100\)\(1\) \(hour = 125\)Therefore we can paddle 125 miles at consistent rate.
Jeffery walked 1/3 mile on Monday and jogged 4/5 mile on Tuesday. How far did he wal and jog on Monday and Tuesday combined
Answer:
17/15
Step-by-step explanation:
Find the GCF of the denominators
15
Convert the fractions
1/3 ---> 5/15
4/5 ---> 12/15
Add.
12/15 + 5/15 = 17/15
Given that EFJ = 2mKFG, find EFJ.
The measure of ∠EFJ is 60°. Option B is the correct option.
What is a linear pair?
When two lines cross at one point, a linear pair of angles are created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as supplementary angles.
∠EFG is a linear pair of angle.
This means ∠E F G = 180°
Given that ∠J F K = 90° and ∠E F J = 2∠K F G.
∠E F G is the sum of angles ∠E F J, ∠J F K and ∠K F G
∠E F G = ∠E F J + ∠J F K + ∠K F G
Now putting the value of ∠E F G, ∠J F K
180° = ∠E F J + 90° + ∠K F G
Again putting ∠K F G = 1/2∠E F J:
180° = ∠E F J + 90° + 1/2∠E F J
180° - 90° = 3/2 ∠E F J
90° = 3/2 ∠E F J
∠E F J = 90° ×(2/3)
∠E F J = 60°.
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-6x + 14 less than 28 or 9x + 15 less than or equal to negative 12
There are 90 dogs and 150 cats at an animal shelter. Of these animals, 9
dogs and 27 cats receive medication daily. What percentage of the
animals in the shelter receive medication daily?
A. 15%
B. 10%
C. 18%
D. 28%
Answer:
The answer is 15% because...........
Step-by-step explanation:
3/20 as a Percent is 15%
So the percentage of the animals in the shelter receiving medication daily is
= 15%
15% of the animals in the shelter receive medication daily.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that there are 90 dogs and 150 cats at an animal shelter. Of these animals, 9 dogs and 27 cats receive medication daily.
Total animals receiving medication = 27 + 9 = 36
Total number of animals = 150 + 90 = 240
Percentage of the animals in the shelter receive medication daily -
36/240 x 100
6/40 x 100
6/4 x 10
60/4
15%
Therefore, 15% of the total animals receive medication.
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12.44 = 4x what does x =
4 * x = 12.44
4/4 * x = 12.44 / 4
x = 3.11
Answer:
x = 3.11
Step-by-step explanation:
To find the value of 'x', divide both sides of the equation by 4
12.44 = 4x
\(\dfrac{12.44}{4}=\dfrac{4x}{4}\\\\\\3.11=x\)
Which one of the following statements is correct when the homoskedasticity assumption is violated while the rest of the OLS assumptions are correct.?
a.The beta parameter estimates can be calculated but they are wrong.
b.The beta parameter estimates are biased
c.The beta parameter estimates are unbiased because homoskedasticity assumption is not required for unbiasedness.
d.The beta parameter estimates cannot be calculated
The correct answer is option b. When the homoskedasticity assumption is violated, The beta parameter estimates are biased while the rest of the OLS assumptions are correct.
When the homoskedasticity assumption is violated, the ordinary least squares (OLS) estimator is still consistent but no longer efficient. This means that the estimates of the regression coefficients (beta parameters) are still unbiased, but they have higher variances and covariances.
In other words, the OLS estimator is no longer the best linear unbiased estimator (BLUE) and it may be biased when the errors are heteroscedastic. Therefore, option b is correct.
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WILL MAKE BRAINLIEST!!!
write the equation given the slope and y-intercept
1.) m= 1, b=2
2.) m= 1/4, b=0
3.) m= -3, b= 0.5
4.) m= 0.2, b=0.8
2. Regina Aguirre deposits $2,000 into an ordinary annuity after each 6-month period for 4 years. The account
pays 6% interest compounded semiannually. Find the a) future value, and b) total interest earned.
rational numbers.
Example 6: Write any 3 rational numbers between –2 and 0.
-20
0
ondas
-
Answer:
my firnd coli
Step-by-step explanation:
In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.
The students in Ms. Egbert’s class are randomly choosing from several science projects. Ms. Egbert writes the names of the projects on cards: PH test, purify water, onion DNA, copper plate coins. Which event can be described as likely to occur?
If there are more students than projects, then some students may have to choose the same project, which could make some projects more likely to be chosen than others.
If there are more projects available than students in the class, then it is likely that not all projects will be chosen by the students.
If there are an equal number of projects and students, then each project is equally likely to be chosen.
What is project?
A project is a temporary endeavor that is designed to achieve a specific goal or objective. It usually involves a set of tasks or activities that are coordinated and managed to produce a unique outcome within a specific time frame and with limited resources.
Projects can vary in size, complexity, and scope, and can be found in a variety of settings, such as business, government, education, and nonprofit organizations. Project management is the process of planning, organizing, and controlling resources to achieve specific goals and objectives within a defined timeline and budget.
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I need help asap. please
Answer:
yes
Step-by-step explanation:
Determine which set of side measurements could be used to form a triangle.
3, 5, 11
4, 18, 23
5, 9, 14
7, 12, 18
The set of side measurement could be used to form a triangle is option(4) 7, 12 and 18
If the sides of the triangles are a, b and c. There will be three condition
a + b > c
b + c > a
c + a > b
We have to check these condition
Part 1
The sides are 3, 5 and 7
3 + 5 > 11
8 < 11
It does not form a triangle
Part 2
The sides are 4, 18 and 23
4+18 >23
22 < 23
It does not form a triangle
Part 3
The sides are 5, 9 and 14
5+9 > 14
14 = 14
It does not form a triangle
Part 4
The sides are 7, 12 and 18
7+12 > 18
19 > 18
12 + 18 > 7
30 > 7
7+18 > 12
25 > 12
It forms a triangle
Hence, the set of side measurement could be used to form a triangle is option(4) 7, 12 and 18
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