The correct match the following is shown below:
2x + 3 (x - 2) = 6 (x + 1) + x → x = -6
2x + 3 (x - 2) = 6 (x - 1) - x → All real numbers
2x + 3 (x - 2) = 6 (x - 1) + x → x = 0
2x + 3 (x - 1) = 6 (x - 1) - x → No solution.
What is equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
The equation is, 2x + 3 (x - 2) = 6 (x + 1) + x, 2x + 3 (x - 2) = 6 (x - 1) - x, 2x + 3 (x - 2) = 6 (x - 1) + x, and 2x + 3 (x - 1) = 6 (x - 1) - x
Solve the above equations as shown below,
2x + 3 (x - 2) = 6 (x + 1) + x
2x + 3x - 6 = 6x + 6 + x
5x - 6 = 7x + 6
7x - 5x = -6 - 6
x = -6
2x + 3 (x - 2) = 6 (x - 1) - x
2x + 3x - 6 = 6x - 6 - x
5x - 6 = 5x - 6
Infinity solutions,
2x + 3 (x - 2) = 6 (x - 1) + x
2x + 3x - 6 = 6x - 6 + x
5x - 6 = 7x - 6
x = 0
2x + 3 (x - 1) = 6 (x - 1) - x
2x + 3x - 3 = 6x - 6 - x
5x - 3 = 5x - 6
Parallel line, hence, no solution.
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Bashir is taking a multiple choice test with a total of 80 points available. Each
question is worth exactly 5 points. What would be Bashir's test score (out of 80) if he
got 5 questions wrong? What would be his score if he got a questions wrong?
Bashir's test score if he got 5 questions wrong would be = 55 points.
Bashir's score if he got a question wrong would be = 75 points.
What is a test score?A test score is defined as the total amount of scores a student gained in an examination.
The total points available for the multiple choice test = 80points.
The worth of each question = 5 point.
Therefore the total number of questions = 80/5 = 16
The number of wrong questions = 5
The number of correct questions = 16-5 = 11
Therefore the number of points she has for the correct questions = 11×5 = 55 point.
If only one wrong question the score would be 80 - 5 = 75 points.
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Cheryl thinks that the
following expressions are
equivalent:
3x + 3 = 3 + 3x + 0
Is Cheryl right? If so,
prove that these two
expressions are
equivalent. If not, what
error(s) did Cheryl make?
Answer:
yes she is right
Step-by-step explanation:3x + 3 is the same as 3 + 3x.
the zero adds nothing to the 3x term. So this means that 3x +3 and 3 + 3 are the same.
i hope this helps you.
What is the northerly Component of a wind blowing at 15ms from the South East?
The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.
To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.
A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.
To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.
If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.
The northerly component can be found using the sine of the angle:
Northerly Component = Wind Speed * sin(Angle)
Northerly Component = 15 m/s * sin(45°)
Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:
Northerly Component ≈ 15 m/s * 0.707
Northerly Component ≈ 10.605 m/s
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1
4
(
8
−
6
x
+
12
)
?
1
4
(
8
−
6
x
+
12
)
?
A.
7
2
x
7
2
x
B.
−
13
2
x
−
13
2
x
C.
−
6
x
+
14
−
6
x
+
14
D.
−
3
2
x
+
5
The equivalent expression is 5 - 3x/2. Option D
What are algebraic expressions?Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.
these algebraic expressions are also composed of mathematical operations. These operations includes;
BracketParenthesesSubtractionMultiplicationDivisionAdditionFrom the information given, we have that;
1/ 4(8 - 6x + 12)
expand the bracket, we have;
Add the like terms
1/4(20 - 6x)
now, multiply the values, we have;
20 - 6x/4
Divide by the denominator
5 - 3x/2
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The complete question:
Simply the expression:
1/ 4(8 - 6x + 12)
Explain how to solve an equation of the form x p/q= a for nonzero integers x, p, q, and a. What is x in terms of a, p, and q? PLEASE PLEASE PLEASE DO NOT USE PICTURES. I CAN NOT SEE THEM ON THIS COMPUTER. Sorry if I sounded angry.
Answer:
is x multiplied by p/q??
−4/9f = −3 what does f equal?
Answer:
\(\frac{27}{4}\) or 6.75
Step-by-step explanation:
To cancel out a fraction you multiply by the reciprocal. To make multiplying easier you can make -3 into a fraction by putting 1 under itMultiplying across, two negatives make a positive so the answer is positive\((-\frac{9}{4})-\frac{4}{9}f=-\frac{3}{1} (-\frac{9}{4})\)
\(f=\frac{27}{4}\)
Which is the last operation when evaluating
subtraction [BODMAS 'S' comes last which means subtraction]
hope it helps...
Answer:
Subtraction
Step-by-step explanation:
Kim had 2 1/3 pounds of candy. Eric eats 2/5 of Kims candy. How much candy did Eric eat?
The quantity of candy that Eric ate would be = 14/15
How to calculate the quantity of candy eaten by Eric?The quantity of Candy Kim had = 2⅓ pounds.
The quantity of Kims candy that Eric ate = 2/5
That is 2/5 of 2⅓.
The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15
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Can anyone help me on this one
Hello !
Answer :
\({x}^{ - \frac{8}{3} }\)\(\sqrt[3]{ {x}^{ - 8} }\)\(\sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }\)Explanation :
\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)
\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)
\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)
Have a nice day ;)
Look at the right triangle below. Find the lengths of a and b using the given coordinates of the endpoints of
the hypotenuse
9514 1404 393
Answer:
a = 4
b = 6
Step-by-step explanation:
The given end points are (2, 1) and (8, 5).
The value of 'a' is the difference of the y-coordinates: 5 - 1 = 4.
The value of 'b' is the difference of the x-coordinates: 8 - 2 = 6.
The lengths a and b are 4 and 6, respectively.
_____
Additional comment
The Pythagorean theorem tells you the length of the hypotenuse is ...
√(4² +6²) = √52 = 2√13
five times the sum of the digits of a two digit number is 9 less than the number formed by reversing its digits . if four times the value of the digit at ones place is equal to half of the place value of the digit at tens place, find the numbers
9514 1404 393
Answer:
45
Step-by-step explanation:
Let x and y represent the tens and ones digits, respectively. The 5 times the sum of digits is 5(x+y). The value of the digit-reversed number is (10y+x), so the required relation is ...
5(x +y) = (10y +x) -9
The other relationship between the digits is given as ...
4y = 1/2(10x)
A graphing calculator shows the solution to these equations is (x, y) = (4, 5).
The two-digit number is 45.
__
Additional comment
You can solve these equations in any of a variety of ways. Using a graphing calculator to find integer solutions is fast and easy, so is one of my favorites. Here, the coefficients on one equation are not easy multiples of those in the other, so substitution and/or elimination can get messy. In this situation, I like to use the "cross-multiplication" method, which starts with the equations in general form:
4x -5y +9 = 05x -4y +0 = 0From the coefficients of these equations, differences of cross products are formed:
d1 = 4(-4) -(5)(-5) = 9d2 = -5(0) -(-4)(9) = 36d3 = 9(5) -0(4) = 45Then the solutions are the solutions to 1/d1 = x/d2 = y/d3:
x = d2/d1 = 36/9 = 4y= d3/d1 = 45/9 = 5(x, y) = (4, 5) ⇒ the number is 45.
__
This method is one of several variations of Cramer's Rule, the general solution of systems of linear equations using matrix methods.
A paddle boat company charges $15 rental fee plus $12.75 per hour for rentals. If Jimmy has $45, which inequality can he use to determine if he has enough money to rent a paddle boat for 4 hours?
a. 15 + 12.75x ≤ 45
b. 15 + 12.75x ≥ 45
c. 15x + 12.75 ≤ 45
d. 15x + 12.75 ≥ 45
Answer:
A.
Step-by-step explanation:
$15 rental fee added to the 12.75 per hour. you have to multiply the 12.75 times the amount of hours rented, which we don't know yet so that's variable x. then he has only $45 to spend so it has to be equal to or less than that.
Swornima is an unmarried nurse in a
hospital. Her monthly basic salary is Rs
48,000. She has to pay 1% social
security tax on her income up to Rs
5,00,000 and 10% income tax on Rs
5,00,001 to Rs 7,00.000. She gets 1
months' salary as the Dashain
allowance. She deposits 10% of her
basic salary in Citizen Investment Trust
(CIT) and gets 10% rebate on her
income tax. Answer the following
questions. (i) What is her annual
income? How much tax is rebated to
her? (iii) How much annual income tax
should she pay?
To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:
Monthly basic salary: Rs 48,000
Social security tax rate: 1%
Income tax rate on income up to Rs 5,00,000: 0% (no tax)
Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%
Dashain allowance: 1 month's salary
Deposit in Citizen Investment Trust (CIT): 10%
Rebate on income tax: 10%
(i) Annual Income:
Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:
Annual Basic Salary = Monthly Basic Salary x 12
= Rs 48,000 x 12
= Rs 5,76,000
Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:
Annual Income = Annual Basic Salary + Dashain Allowance
= Rs 5,76,000 + Rs 48,000
= Rs 6,24,000
Swornima's annual income is Rs 6,24,000.
(ii) Tax Rebate:
Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.
(iii) Annual Income Tax:
First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.
Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000
= Rs 1,24,000
Income Tax in this range = Taxable Income x Tax Rate
= Rs 1,24,000 x 0.1
= Rs 12,400
Now, let's calculate the total annual income tax:
Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000
= Rs 12,400
Next, we calculate the rebate on income tax:
Tax Rebate = Total Annual Income Tax x Rebate Rate
= Rs 12,400 x 0.1
= Rs 1,240
Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.
To summarize:
(i) Swornima's annual income is Rs 6,24,000.
(ii) Swornima's tax rebate is Rs 1,240.
(iii) Swornima should pay an annual income tax of R
HELP PLEASE DUE TODAY
List the data points.
Answer:
This is easy but ok? 1, 2, 3. Seems to easy...
Step-by-step explanation:
A data point or observation is a set of one or more measurements on a single member of the unit of observation.
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The coordinates of vertex D in the parallelogram are (-7, -10).
We have,
To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.
One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.
Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:
Find the vector representing one of the sides of the parallelogram.
We can use the vector AB.
Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)
= (6 - 8, -4 - 2)
= (-2, -6)
Add this vector to point C to find the coordinates of D.
Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)
= (-5 - 2, -4 - 6)
= (-7, -10)
Therefore,
The coordinates of vertex D are (-7, -10).
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The sum of three consecutive odd numbers is 177. Find the number. Step by step please
Answer:
57, 59 and 61
Step-by-step explanation:
Let the first odd number be n The next consecutive odd number is n + 2 and the next one after that is n + 4
(consecutive odd numbers have difference of 2 between them. For example if 7 is the first odd number next one is 9(7+2) and the next one is 11(7+4)
We are given that the sum of the numbers is 177. So we have the following equation:
n + (n + 2) + (n +4) = 177
Simplifying gives
n + n + 2 + n + 4 = 177
Collect like terms:
n + n + n + 2 + 4 = 177
3n + 6 = 177
Subtract 6 from both sides
==> 3n = 177 - 6
==> 3n = 171
Divide by 3 both sides
3n/3 = 171/3
n = 57 and this is the first of the odd numbers
The next odd number is 57+ 2 = 59
and the next one after that is 59 + 2 = 61 (same as 57 + 4)
What is the value of h in the figure below? In this diagram, ABAD ~ ACBD.
B
h
A
C
D 4
20
Answer:
is it A and C ):
Step-by-step explanation:
The value of h is 8 units.
What are similar triangles?"Two triangles are similar when their corresponding sides are in proportion and all corresponding angles are equal."
For given question,
ΔBAD and ΔCBD are similar triangle.
So, their sides are in proportion.
\(\Rightarrow \frac{BA}{CB}= \frac{AD}{BD}= \frac{BD}{CD}\) ..................(i)
For given figure,
BD = h, CD = 4 units
Now, we find the length of the side AD.
⇒ AD = AC - CD
⇒ AD = 20 - 4
⇒ AD = 16 units
From (i),
\(\Rightarrow \frac{AD}{BD}= \frac{BD}{CD} \\\\\Rightarrow \frac{16}{h} =\frac{h}{4}\\\\ \Rightarrow 16\times 4=h\times h\\\\\Rightarrow h^2=64\\\\\Rightarrow h=8\)
Therefore, the value of h is 8 units.
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The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
Answer:
Below.
Step-by-step explanation:
10 rectangles, 2 are shaded in.
Fraction: 1/5
Decimal: 0.2
Percent: 20%
De acuerdo con el ciclo práctico o ciclo real de funcionamiento de un motor, las válvulas de admisión y escape no se abren y cierran exactamente en los puntos muertos superior e inferior. Debido a esto se genera un instante donde están abiertas las válvula de admisión y de escape al mismo tiempo, a lo que se le conoce como traslape o cruce valvular - ¿Cómo se determina el traslape?
Answer:
no one here speaks spanish-
Step-by-step explanation:
9 multiplied by 21 equals what
Answer:
189
Step-by-step explanation:
Also can you make me brainliest please
A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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Which of the following would best be addressed by a scatter plot?
Answer:
C
Step-by-step explanation:
There has to be two variables it's being compared to, in which case this is the blood sugar level and the amount of sugar
Consider a password which is 4 to 5 characters long, where each character is either an uppercase letter (26 letters) or a digit (0-9). Each password must contain at least one digit.
A: How many possible passwords are there?
B: What is the probability of having a password which is 5 character long and ends in a zero.?
C: What is the probability of having an all digit password?
A: There are 33,216 possible passwords. The probability of having a 5 character password ending in 0 is 2.7%. The probability of having an all digit password is 0.16%.
The total number of possible passwords can be calculated by multiplying the number of options for each character. There are 26 uppercase letters and 10 digits, so for a 4 character password there are 26 x 26 x 10 x 10 = 67,600 possible combinations. For a 5 character password there are 26 x 26 x 10 x 10 x 10 = 336,960 combinations. Therefore, there are 33,216 possible passwords if the password must be 4-5 characters long and contain at least one digit. The probability of having a password which is 5 characters long and ends in a zero is 2.7%. This is calculated by dividing the number of possible passwords that end in 0 (1,680) by the total number of possible passwords (33,216). The probability of having an all digit password is 0.16%. This is calculated by dividing the number of possible all digit passwords (5,120) by the total number of possible passwords (33,216).
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Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).
y = negative x squared + 15 x minus 56
a.
(-7, 0); (-8, 0)
c.
(-7, 0); ( 8, 0)
b.
( 7, 0); (-8, 0)
d.
( 7, 0); ( 8, 0)
Please select the best answer from the choices provided
When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).
What are the quadratic functions?Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.
The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).
Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.
Hence, option (c) is the correct answer.
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(100 points!!!!!)
Vic has 3 pairs of pants, blue, brown, and black. He has 2 dress shirts, white and striped. He can also wear a yellow or green tie.
a. Draw a tree diagram to show the possible combinations of the pants, shirt, and tie. post a pick on your answer on brainly plss paper or whatever you can use to write the tree diagram
b. If he chooses his outfit randomly, what is the probability that he will get his black pants and his striped shirt?
C. If he chooses his outfit randomly, what is the probability he will get blue pants, white shirt, and green tie?
Answer:
Step-by-step explanation:
a. See attachment.
b. 1/6
c. 1/8
Guys please help out with this asap ! thanks
simplify 5(x - y) - (x - y)
Answer:
4(x - y)
Step-by-step explanation:
5(x - y) - (x - y) - Distribution the numbers outside the brackets (There is a neg one in front of the second (x - y)
5x - 5y - x + y - Simplify
4x - 4y
4(x - y) - Optional
Mary Beth is a supervisor of a unit consisting of four employees--Cheryl, Susan, Fred and Michael. Financial hardship dictates that the organization has to downsize its operations and Mary Beth has to let two of her employees go. The organization decides to retain or terminate employees based solely on their seniority.
Mike has higher seniority than Cheryl.
Fred has higher seniority than Sue.
Fred has higher seniority than Cheryl.
Based on the level of seniority of Mary Beth's unit, the correct conclusions on who will be terminated is:
Unknown. Unknown.Who will be terminated?Cheryl will be terminated because both Fred and Mike have seniority over them which means that they are at least third in seniority.
However, we cannot tell who will be terminated between Mike and Sue because the relationship between them is undefined. Fred is safe from termination, however.
The rest of this question is:
1. Mike will be terminated
A)True
B)False
C)Unknown
2. Sue will be terminated
A)True
B)False
C)Unknown
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Please answer this Calculus webwork question about differential equations:
Answer:
a)
\(4ydy = xdx\)
\(2 {y}^{2} = \frac{1}{2} {x}^{2} + c\)
\( {y}^{2} = \frac{1}{4} {x}^{2} + c \)
\( {y}^{2} - \frac{1}{4} {x}^{2} = c \)
b)
c = 4, so
\( {y}^{2} = \frac{1}{4} {x}^{2} + 4\)
\(y = - \sqrt{ \frac{1}{4} {x}^{2} + 4} \)
\(y = - \frac{ \sqrt{ {x}^{2} + 16} }{2} \)
calculate the start date for the project. place your calculation in cell h5. the start date for the project is the start date in cell g2 unless the start date falls on a weekend (saturday or sunday) in which case if will be the next workday.
The project start date for the project is 2/12/23.
In order to calculate the start date for the project, in excel, the WORKDAY Function is used. The WORKDAY Function is found under Excel Date and Time functions. The function provides a date that is N working days in the future or in the past. Working days exclude weekends and any dates identified as holidays.
The formula is: ‘=WORKDAY(start_date,days,[holidays]). The start_date (which represents the start date) and days (which represents the number of workdays to be added) are required fields. The [holiday] (which represents the array of dates that are included as workdays) is an optional field. In the given case, the formula used will be WORKDAY(G2, 0, C3:C13) and the project start date will be 2/12/23. Note that the start date of the first phase will be the same as start of the project.
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