Which equation is not equivalent to 2x + 14 = 4x– 6
14 + 6 = 2x
-2x= 20
2x – 4x= -20
X = 10
Answers
2x + 14 = 4x - 6
2x + 20 = 4x
20 = 2x, x = 10
See if any of the following has x = 10
Solution: -2x = 20
Because -2(10) = -20, so x isn’t 10
Related Questions
f(x)=x^2-1, g(x)=x+2
Answers
The composite function ( f. g(x)) is x² + 4x + 3
What is a function?A function can be described mathematically as a rule, law or equation that explains, shows and elaborates the relationship between to variables.
The variables are known as;
The independent variableThe dependent variableFrom the information given, we have the functions as;
f(x)=x^2-1g(x)=x+2To determine the composite function ( f. g(x)), we have to substitute the value of g(x) as a function in the function f(x) as the variable 'x', we get;
( f. g(x)) = (x + 2)² - 1
Now, let's expand the square
( f. g(x)) = (x + 2) ( x+ 2) - 1
Expand the bracket
( f. g(x)) = x² + 2x + 2x + 4 - 1
Now, let's collect like terms, we get
( f. g(x)) = x² + 4x + 3
Thus, the function is x² + 4x + 3
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The complete question:
Find ( f. g(x)) if f(x)=x^2-1, g(x)=x+2
Select the correct answer.
Answers
Answer:
C. 5 × 3
Step-by-step explanation:
The order of a matrix is the number of rows and columns that a matrix has. Rows are listed first and columns are listed second. The matrix has 5 rows going across horizontally and 3 columns going down vertically.
So, the order of the matrix is 5 × 3.
Hope that helps.
Consider the following sets of sample data:A: $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100B: 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98Step 1 of 2 : For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.
Answers
The coefficient of variation for A is 20.37% and for B is 15.98%.
What is coefficient of variation?
In statistics, the relative standard deviation (RSD), commonly referred to as the coefficient of variation formula (CV), is a standardized way to assess how widely spaced out a probability distribution or frequency distribution is. Lower values of the coefficient of variation indicate that the data is highly stable and less variable.
We know that formula for coefficient of variation is
CV = Standard Deviation / Mean
A. $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100
Mean = 411200 / 14
Mean = $29371.42
Similarly,
Standard Deviation = $5984.52
So,
CV = 5984.52 / 29371.42 * 100
CV = 20.37%
B. 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98
Mean = 43.42 / 11
Mean = $3.94
Similarly,
Standard Deviation = $0.63
So,
CV = 0.63 / 3.94 * 100
CV = 15.98%
Hence, the coefficient of variation for A is 20.37% and for B is 15.98%.
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Angelo is 7 years younger than his brother Jayson. If Jayson's age is J, what expression stand's for Angelo's age?
Answers
Answer: j-7
Step-by-step explanation:
So Jayson is J
Angelo is 7 years younger than him so j-7
Four friends shared 7 chocolate bars. Each of them was given an equal share of the chocolate bars. How many chocolate bars did each person get?
Answers
Answer:
19. 25 chocolate bars
Step-by-step explanation:
77 divided by 4=19. 25
Susan is calculating her final grade in Statistics. The grade is broken down as follows: tests (50%), lab (30%), and final exam (20%). Susan's category averages are the following. Tests: 82 Lab: 78 Final Exam: 86
Answers
The final grade of Susan will be 81.6%
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
As per the given question, the required solution would be as:
Test grade + Lab grade + FE
Test grade = (82 × 50)/100 = 4100/100 = 41%
Lab grade = (78 × 30)/100 = 2340/100 = 23.4%
final grade = (86 × 20)/100 = 1720/100 = 17.2%
final grade = 41 + 23.4 + 17.2
Apply the addition operation, and we get
final grade = 81.6%
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The question seems to be incomplete the correct question would be:
Susan is calculating her final grade in Statistics. The grade is broken down as follows: tests (50%), lab (30%), and final exam (20%). Susan's category averages are the following. Tests: 82 Lab: 78 Final Exam: 86
What is her final grade?
Missing numbers
, 9.8 , 9.1
Answers
Answer:
10.5
Step-by-step explanation:
Missing number, 9.8, 9.1
We see that each time it subtracts 0.7
We take
9.8 + 0.7 = 10.5
So, the missing number is 10.5
help me please!!!!!!!!!
Answers
Answer:
a. 5
b. 36
c. 1/3
d. 1/6
Step-by-step explanation:
a. The answer is five because 9 people bike and 4 people walk and 9-4 is equal to 5
b. The is answer is 36 because 12 people walked, 9 people biked, 4 people walked, 6 people used a motorcycle and 5 people used a cab and 12+9+4+6+5=36
c. The answer is 1/3 because 12 people walked to school and there are 36 people in the class so 12/36 people walked to school, which can be simplified to 1/3.
d. The answer is 1/6 because 6 people used a motorcycle to go school and there are 36 people in the class so 6/36 people used a motorcycle which is equal to 1/6
For every 8 boys signed up for intramural basketball, there are 6 girls. If there are 48 boys signed up to play intramural basketball, how many girls are signed up? 30 girls 33 girls 36 girls 42 girls
Answers
Answer:
36 girls signed up
Step-by-step explanation:
1. Create a ratio for boys to girls: 8:6
2. Multiply 8 * 6 to get 48 (amount of boys who signed up.)
Whatever we do one on side we do to the other, so multiply the girls by 6.
6 * 6 = 36
48:36 = 8:6
these ratios are proportional
12/23+(9 6/8−3 1/4) help me
Answers
Answer:
7.5
Step-by-step explanation:
Answer:
ima say 7 1/5
Step-by-step explanation:
If I spend 1/3 of my money, lose 2/3 of the remainder, and have 2$ left, how much money did I have originally
Answers
Answer:
2$
Step-by-step explanation:
If you spend 1/3 of your money and lose the other 2/3 , u only have 2$ left
Solve the triangle.
Answers
9514 1404 393
Answer:
b = 757.7 mA = 17.2°C = 14.3°Step-by-step explanation:
From the law of cosines, you can find the length of side b to be ...
b = √(a² +c² -2ac·cos(B))
b = √(184041 +128164 -307164cos(148.5°)) ≈ √574105.36
b ≈ 757.7
__
From the law of sines, you can find the measure of angle C to be ...
C = arcsin(c/b·sin(B))
C ≈ arcsin(358/757.7·sin(148.5°)) ≈ arcsin(0.246872)
C ≈ 14.3°
A = 180° -148.5° -14.3°
A = 17.2°
_____
Some graphing calculators have built-in triangle-solving functions. Apps are available for the purpose for phone or tablet. The screenshot shows a web site that does a nice job of solving the triangle.
You are solving a measurement problem where the numbers 5.2187 x 10−3, 2.05 x 107, and 3.40 x 103 are multiplied. How many significant digits should the product have?
5
3
2
1
Answers
The number of significant digits that the product have is 3.
Significant figures are the number of digits that add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures.
Rules for determining Significant Numbers,
Within the specified measurement or reporting resolution, non-zero digits are significant.Significant zeros occur between two significant non-zero digits (significant trapped zeros).Leading zeros (zeroes to the left of the first non-zero digit) is not important.The trailing zeros (zeroes after the final non-zero digit) in a decimal number are important if they fall within the measurement or reporting resolution.The trailing zeros (zeroes after the final non-zero digit) in a decimal number are important if they fall within the measurement or reporting resolution.Given Numbers are \(5.2187 * 10^{-3}, 2.05 *10^{7} and 3.40 * 10^{3}\)
Now, Multiplying the given numbers,
\(5.2187 * 10^{-3}* 2.05 *10^{7} * 3.40 * 10^{3} =3.64 *10^{8}\)
So, In 3.64 *10^8, The number of significant digits is 3.
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Answer:
answer is 3
Step-by-step explanation:
Based on the pattern, what are the next two terms of the sequence?
Answers
Answer:
33 , 39
Step-by-step explanation:
given
9 , 15 , 21 , 27
there is a common difference between consecutive terms, that is
15 - 9 = 21 - 15 = 27 - 21 = 6
to obtain terms in the sequence add 6 to the preceding term
27 + 6 = 33
33 + 6 = 39
the next two terms are 33 and 39
15-9=6
21-15=6
27-21=6
That means we are adding 6 at every step. Therefore the next two elements must be
27+6=33 and 33+6=39
Two basketball players average the same number of points per game. What information would be most helpful in
determining which player's game performances show the least variability?
the most and least points each player has scored in a game
the number of games each player has played
the average number of points each player's team scores per game
O the total number of points each player has scored
Answers
Answer:
number of games each player has played
the average number of points each player's team scores per
Step-by-step explanation:
number of games each player has played
the average number of points each player's team scores per
2.4 x 0.87 help help help
Answers
Answer:
2.088
Step-by-step explanation:
Trust me I am in high school honors algebra with almost an average of 100.
The product of 2.4 x 0.87 is 2.088.
What is a decimal ?A decimal is represented by a dot which separates the whole part and the fractional part of a number.
According to the given question we have to multiply two decimals numbers 2.4 and 0.87.
Multiplication of decimals numbers can be easily done just by removing the decimas and multiplying them in form of integers and after obtained result we'll put the decimal as many digits before from the rightmost side as the sum of the digits which those two numbers have after the decimal.
So, (24×87) = 2088 now the sum if the digits is 3 so we'll put the decimal 3 places before which is 2.088.
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93,83,65,59,88,76,86,93,48,73,54,79
What is the percentage of these test scores that are less than 88?
Answers
How to calculate volume of a rectangular prism
Answers
Calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height.
Calculating the volume of a rectangular prism is a straightforward process. A rectangular prism is a three-dimensional shape that has a length, width, and height. To find its volume, you simply multiply the length by the width by the height. The formula for calculating the volume of a rectangular prism is:
Volume = length x width x height
For example, if a rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm, its volume would be:
Volume = 5 cm x 4 cm x 3 cm
Volume = 60 cubic centimeters (cm³)
It's important to ensure that all measurements are in the same unit before calculating the volume. For instance, if the length is in meters and the width and height are in centimeters, you would need to convert the length to centimeters to ensure that all measurements are in the same unit before calculating the volume.
In conclusion, calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height. This formula can be used for any rectangular prism regardless of its size or shape.
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f(x) = − 5 sin(2x − π) + 2 g(x) graph of a quadratic with points at 1, 2 and 3, negative 2 and 5, 2 h(x) x y −2 10 −1 7 0 5 1 3 2 5 3 7 4 10 Which function has the smallest minimum? All three functions have the same minimum f(x) g(x) h(x)
Answers
The function f(x) has a minimum value of
2(-1)+2 = 0
The function g(x) has a minimum value of g(3) = -2
The function h(x) has a minimum value of h(1) = 3
Of the minimum values 0, -2, 3, the least is -2, corresponding to g(x).
A man is in a lighthouse tower that is 65 ft. He spots a ship at sea at an angle of depression of 20°. How far is the ship from the base of the lighthouse to the nearest foot?
Answers
Answer:
24 feet
Step-by-step explanation:
distance away is x
tan(20)=x/65
65*tan(20)=x
x=23.65806... feet
round to the nearest foot
x=24
The area of a circle is 1217 ft2. What is the circumference, in feet? Express your answer in terms of .
Answers
Explanation
Step 1
the area of a circle is given by
\(\begin{gathered} \text{Area}_{circle}=\pi r^2=\pi(\frac{d^2}{4}) \\ \text{where r is the radius and d is the diameter} \end{gathered}\)and the circumference is given by
\(\text{Circumference}=\text{ }\pi\cdot diameter\)then
let
Area=1217 square feet
replace, and isolate diameter
\(\begin{gathered} \text{Area}_{circle}\pi(\frac{d^2}{4}) \\ \text{1217=}\pi(\frac{d^2}{4}) \\ Mu\text{ltiply both sides by 4} \\ \text{1217}\cdot4\text{=}\pi(\frac{d^2}{4})\cdot4 \\ 4868=\pi d^2 \\ \text{divide both sides by }\pi \\ \frac{4868}{\pi}=\frac{\pi d^2}{\pi} \\ \frac{4868}{\pi}=d^2 \\ \text{square root in both sides} \\ \sqrt{\frac{4868}{\pi}}=\sqrt{d^2} \\ \sqrt[]{\frac{4868}{\pi}}=\text{diameter} \\ \end{gathered}\)Step 2
now, we have the diameter, replace it in the circumference formula
let
diameter=39.36 ft
replace
\(\begin{gathered} \text{Circumference}=\text{ }\pi\cdot diameter \\ \text{Circumference}=\text{ }\pi\cdot\sqrt[]{\frac{4868}{\pi}} \\ \text{Circumference}=\sqrt[]{\frac{4868\pi^2}{\pi}} \\ \text{Circumference}=\sqrt[]{4868\pi^{}} \end{gathered}\)I hope this helps you
Look at the tape diagram below for the number of boys and the number of girls in a school. Find total number of students in the school.
Answers
A = {Banana,Coconut,Lemon,Pumpkin} and B = {Coconut,Grape,Olive,Tomato} A ∪ B = {
Answers
The value of the set A ∪ B is {Banana,Coconut,Lemon,Pumpkin,Grape,Olive,Tomato}
How to evaluate the set operation?The sets are given as:
A = {Banana,Coconut,Lemon,Pumpkin} and
B = {Coconut,Grape,Olive,Tomato}
To calculate the set A ∪ B, we simply combine both set elements
So, we have:
A ∪ B = {Banana,Coconut,Lemon,Pumpkin,Coconut,Grape,Olive,Tomato}
Remove the repetition
A ∪ B = {Banana,Coconut,Lemon,Pumpkin,Grape,Olive,Tomato}
Hence, the value of the set A ∪ B is {Banana,Coconut,Lemon,Pumpkin,Grape,Olive,Tomato}
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The list below shows the ages of 10 visitors at a museum one morning.
17 30 17 26 48 39 18 45 17 32
The median age of the 10 visitors was 28. The median age of the visitors remained the same after the ages of two more visitors were added to the list. What are the possible ages of these 2 visitors?
a
17 and 18
b
18 and 26
c
26 and 32
d
39 and 48
Answers
Answer: A,
Step-by-step explanation: It makes a median of 28 when calculated
Please solve for me
-3³+(-2²)-(-1³)+4² =
Answers
-14
Answer:
-14
Step-by-step explanation:
(-3³) + (-2²) - ( -1³) + 4²
( -3 × -3 × -3 ) - 4 - ( -1 × -1 × -1 ) + (4 × 4)
( 9 × -3 ) - 4 - ( 1 × -1 ) + 16
( -27 ) - 4 - ( -1 ) + 16
( -27 ) - 4 + 1 + 16
-14
STANKY PLSS HELP ME ❤️
Answers
Answer:
PQS is a triangle
Step-by-step explanation:
Area of triangle= L×B
So,
20×7
140cm²
Answer :70
Step-by-step explanation:
Area formula: a times b/ 2
PQS: 7 times 20/ 2= 70
Your answer is 70
I hope this helps and may God bless you. have a nice day, bye!
A wheel of a diameter rotates at 2500 revolutions per minute.Express the speed of a point on the rim in centimeters per second.
Answers
Answer:2x34=344343
Step-by-step explanation:32323=23=232
help me ill give you 10 points
Answers
Answer:
a) 4:6= 2:3 or 2/3 or .666666
b) 10:4= 5:2 or 5/2 or 2.5
Step-by-step explanation:
Help me with this thx <3
Answers
4. Saul wants to cash a check for $715 at his bank. He has
$436 in his bank account. How much more money will
he need in his bank account to cash the check?
Answers
Answer:
he needs $279
Step-by-step explanation:
715-436= 279