Answer:
The variables are x and y.The coefficients are 1/4 and 3.Lastly the constants are -23 and 42
Step-by-step explanation:
Variables are letters used to represent an unknown number.Coefficients are the numbers in front of the variables.Constants are numbers by themselves they can be positive and negative.
For the equation: 1/4x + 3y − 23 = 42 the variables are x, y the coefficients 1/4 , 3are the constants are -23 , 42
What is a variable?A quantity that may assume any one of a set of values or in simple words a quantity whose value changes may vary.
What is a coefficient?A numerical or constant quantity placed before and multiplying the variable in an algebraic expression
What is a constant?A constant is a value or number that never changes in expression
in the given equation: 1/4x + 3y − 23 = 42
x and y are variables as the changes for different set of values.
1/4 and 3 are coefficient as they are placed before and multiplying the variable.
-23, 42 is a constant as its value never changes in expression.
Thus for the equation: 1/4x + 3y − 23 = 42 the variables are x, y the coefficients 1/4 , 3are the constants are -23 , 42
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the slope of the line that passes through the point (2 4) and (3 8) is
Answer:
y - 4 = 4(x - 2)
Step-by-step explanation:
Please write these points as (2, 4) and (3, 8) (use commas and parentheses).
As we move from (2, 4) to (3, 8), x increases by 1 and y increases by 4. Thus, the slope is m = rise/run = 4/1 = 4
and the equation of the line through these two points (in point-slope form) is
y - 4 = 4(x - 2)
The slope of the line that passes through the point (2 4) and (3 8) is 4
The formula for calculating the equation of a line passing through the point (x1, y1) and (x2, y2) is expressed using the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given the coordinate points (2 4) and (3 8), the slope is expressed as:
[tex]m=\frac{8-4}{3-2}\\m=\frac{4}{1}\\m = 4[/tex]
Hence the slope of the line that passes through the point (2 4) and (3 8) is 4
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0.05 is 1 tenth the value of
Write a number that is 90,000 greter than 8,304,088
A linear correlation scatterplot is also a direct proportionality. True or False
Answer: False
Step-by-step explanation: A linear correlation scatter plot is one which is aimed at establishing a graphical view of the relationship between two quantitative variables. A linear correlation scatter plot could either be positive which is depicted by a positive gradient which infers direct proportionality, this means an increase in variable A results in increase in variable B while a decrease in variable A results in decrease in variable B. Similarly, it could also exhibit a negative gradient which infers a inverse proportionality meaning a decrease in one variable leads to increase of the other and vice-versa. Hence, a linear scatterplot does not only exhibit direct proportionality.
A function is defined by f(x) =6x+1.5. What is f(2.5)?
Answer:
16.5
Step-by-step explanation:
So we have the function:
[tex]f(x)=6x+1.5[/tex]
To find f(2.5), substitute 2.5 for x. Thus:
[tex]f(2.5)=6(2.5)+1.5[/tex]
Multiply:
[tex]f(2.5)=15+1.5[/tex]
Add:
[tex]f(2.5)=16.5[/tex]
And we're done!
6. Use the data to find the following (Please show work)
2, 3, 5, 7, 8, 10, 11, 11, 13, 15, 17, 18
a. Mean
b. Median
C. Mode
d. Range
Answer:
1. [tex] \boxed{ \boxed{ \sf{mean = 10}}}[/tex]
2. [tex] \boxed{ \boxed{ \sf{median = 10.5}}}[/tex]
3. [tex] \boxed{ \boxed{ \sf{mode = 11}}}[/tex]
4. [tex] \boxed{ \boxed{ \sf{range = 16}}}[/tex]
Step-by-step explanation:
1. Given data : 2 , 3 , 5 , 7 , 8 , 10 , 11 , 11 , 13 , 15 , 17 , 18
Σx = 2 + 3 + 5 + 7 + 8 + 10 + 11 + 11 + 13 + 15 + 17 + 18 = 120
N ( total number of items ) = 12
Finding the mean
To find the mean, divide the sum of all the items by the number of items.
[tex] \boxed{ \sf{mean = \frac{Σx}{N} }}[/tex]
[tex] \dashrightarrow{ \sf{mean = \frac{120}{12} }}[/tex]
[tex] \dashrightarrow{ \sf{mean = 10}}[/tex]
Mean = 10
----------------------------------------------------------
2. Given data : 2 , 3 , 5 , 7 , 8 , 10 , 11 , 11 , 13 , 15 , 17 , 18
N ( total number of items ) = 12
Finding the position of median
[tex] \boxed{ \sf{median = { \frac{n + 1}{2} }^{th \: item}}} [/tex]
[tex] \dashrightarrow{ \sf{median = {( \frac{12 + 1}{2}) }^{th \: } item}}[/tex]
[tex] \dashrightarrow{ \sf{median = {( \frac{13}{2}) }^{th \: }item }}[/tex]
[tex] \dashrightarrow{ \sf{median = {6.5}^{th \: }}} [/tex] item
[tex] \sf{ {6.5}^{th} }[/tex] item is the average of 6 th and 7 th items.
[tex] \sf{∴ \: median = \frac{ {6}^{th}item + {7}^{th} item}{2}} [/tex]
[tex] \dashrightarrow{ \sf{median = \frac{10 + 11}{2} }}[/tex]
[tex] \dashrightarrow{ \sf{median = \frac{21}{2} }}[/tex]
[tex] \dashrightarrow{ \sf{median = 10.5}}[/tex]
Median = 10.5
-----------------------------------------------------------
3. The mode of a set of data is the value with the highest frequency.
Given data : 2, 3, 5, 7, 8, 10, 11, 11, 13, 15, 17, 18
Here, 11 has the highest frequency.
So, Mode = 11
----------------------------------------------------------
4. Highest number = 18
Lowest number = 2
[tex] \boxed{ \sf{range = highest \: number - lowest \: number}}[/tex]
[tex] \dashrightarrow{ \sf{range = 18 - 2}}[/tex]
[tex] \dashrightarrow{ \sf{range = 16}}[/tex]
Hope I helped!
Best regards! :D
Given: mAngleTRV = 60° mAngleTRS = (4x)° Prove: x = 30 3 lines are shown. A line with points T, R, W intersects with a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is 60 degrees and angle T, R, S is (4 x) degrees. What is the missing reason in step 3?
Answer:
the answer is angle addition postulate
Step-by-step explanation:
Given the proof for x = 30, the missing reason in step 3 is: angle addition postulate
What is Angle Addition Postulate?Angle addition postulate states that if D is the interior of ∠ABC, therefore, the sum of the smaller angles equals the sum of the larger angle, which is: m∠ABD + m∠DBC = m∠ABC.
The given diagram as shown in the image attached below alongside the proof of x = 30.
T is the interior of straight angle ∠VRS.
m∠VRS = 180° (straight line angle)
Therefore, based on the angle addition postulate, m∠TRS + m∠TRV = 180°.
Thus, given the proof for x = 30, the missing reason in step 3 is: angle addition postulateLearn more about angle addition postulate on:
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what is 3/2 (7/3n +1)= 3/2
The demand for a certain company's e-reader can be approximated byq =720p− 1 million units per year (60 ≤ p ≤ 400),where p is the price charged by the company. Assume that the company is prepared to supplyq = 0.018p − 1 million units per year (60 ≤ p ≤ 400)at a price of $p per unit.Calculate the equilibrium price and equilibrium demand.equilibrium price$equilibrium demand million e-readers per year.
Answer:
Equilibrium price P = 200 dollars
equilibrium demand of million e-readers per yer = 2.6 mi/yr
Step-by-step explanation:
Given that;
q = 720/p - 1 million units per year { 60 ≤ p ≤ 400 }
supply q = 0.018p − 1 million units per year (60 ≤ p ≤ 400)
we substitute
720/p - 1 = 0.018p − 1
720/p = 0.018p
720 = 0.018p^2
p^2 = 720/0.018 = 40000
p = sqrt(40000)
p = 200
substitute value of p
q = 0.018(200) − 1
q = 3.6 - 1 = 2.6
Therefore Equilibrium price P = 200 dollars
equilibrium demand of million e-readers per yer = 2.6 mi/yr
what is 84.637 minus 28.56
Answer:
56.077
Step-by-step explanation:
Answer:
56.077
Step-by-step explanation:
i did it in my caculator lol :)
Which type of transformation preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x)?
1. vertical translation
2. horizontal translation
3. reflection over the x-axis
4. reflection over the y-axis
Answer:
A. Vertical translation
Step-by-step explanation:
Edge test
Mr. Crawford is ordering pizzas and breadsticks for a school pizza party and has a budget of $81, but no more. An order of breadsticks costs $7 and a pepperoni pizza costs $13. Write an inequality that represents the above situation if x represents the number of bread sticks and y represents the number of pizzas.
Answer:
7x + 13y [tex]\leq[/tex] $81
Step-by-step explanation:
The inequality that represents the situation given will be 7x + 13y ≤ 81.
From the information given, Crawford is ordering pizzas and breadsticks for a school pizza party and has a budget of $81, but no more and an order of breadsticks costs $7 while a pepperoni pizza costs $13.Therefore, the inequality that represents the situation given will be 7x + 13y ≤ 81.Read related link on:
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Seven times the sum of a number and 2 equals 5
Answer: The number is -9/7
Step-by-step explanation:
The statement can be expressed by the equation
7(n + 2) = 5 where n is the number
Now solve for n
7(n+2) = 5 distribute on the left side
7n + 14 = 5
-14 -14
7n = - 9
n = -9 /7
The topic is about operations on functions: composition and transformation
Answer:
5, 1, 5, 1.
Step-by-step explanation:
take it one step at a time.
for the first one f(g(1))
first do whats inside of the parenthesis.
> g(1), go to g(x) graph, go to x= 1 and your y-value is your new value (3)
> your new equation is now f(3)
→ go to f(x) graph, go to x= 3, your y-value is 5. Your final answer is 5.
Which expressions are equal to z+(z+6)
Answer:
2(z+3)
Step-by-step explanation:
2z+6
take out the 2: 2(z+3)
Time and Tide is the name of the question. A ship is at anchor. Over its side hangs a rope ladder with rungs a foot apart. The tide rises at the rate of 8 inches per hour. At the end of six hours how much of the rope ladder will remain above water, assuming that 8 feet were above water when the tide began to rise? Using complete sentences explain how you determined your answer.
Answer:
Hey there!
First, I converted 8 feet to inches. I knew that 12 inches were in a foot, so 96 inches are in 8 feet. If the water rises at 8 inches per hour, at the end of 6 hours, the water will rise 48 inches. Finally, subtracting 48 from 96, we get that there are 48 inches of rope above the water's surface.
Let me know if this helps :)
Mrs. Krueger created the expression 4(h + 11) - 15 to estimate the number of hours each her students need to study each way to earn a certain grade average according to the expression how many hours per week does Lindsay needs to study if she wants to have an average of at least 90
Answer:
15.25 hours atleast.
Step-by-step explanation:
First rewrite the expression so it helps us find the answer.
4(h+11)-15=90
Distribute -> Substract from both sides -> Divide 61/4
[tex]4(h+11)-15=90\\4h+44-15=90\\4h+29=90\\4h=61\\61/4= 15.25h[/tex]
Solve the linear equation. x - 3 = 7 x = ?
Answer: x = 10
Step-by-step explanation: You add 3 + 7 which equals 10. 10 minus 3 is 7.
how do I make points
Answer:
by answering others ppl questions
Answer:
you make points by answering to others peoples questions. :)
The question is Find the area.
Answer:
the area is 9in^3
Step-by-step explanation:
the formula for area of a triangle is 1/2bh, so it's 1/2 x 7.2 x 2.5
33% 1/3 5/3 .6
which number doesn’t belong?
PLEASE HELPPP
Answer:
5/3 does'nt belong.
Step-by-step explanation:
think about it.
33% = 1/3 = .6666666 they are all the same. 5/3 doesnt belong
The number 5/3 does not belong.
what is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.
Given number:
33%
Now, we can write the percentage as
33/100
≈1/3
on converting the fraction in decimal
=0.666...
Hence, the which does not belong this pattern is 5/3.
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A set of three scores consists of the values 3, 7, and 2. Σ2X-2 = 22 E(x-1)2 = -41 Hint: Remember to follow the order of mathematical operations.
Answer:
Step-by-step explanation:
Given the following scores 3, 7 and 2, we are to find the expression Σ2X-2 and Σ(X-1)²
The value of X's are 3, 7 and 2. Substituting the values we will have;
Σ2X-2 = [2(3)+2(7)+2(2)] - 2
Σ2X-2 = (6+14+4) - 2
Σ2X-2 = 24-2
Σ2X-2 = 22
For Σ(X-1)²
Σ(X-1)² = (3-1)²+ (7-1)² + (2-1)²
Σ(X-1)² = 2²+6²+1²
Σ(X-1)² = 4+ 36+1
Σ(X-1)² = 41
Σ2X - 2 = 22 , Σ( X - 1 )^2 = 41
Given : X = 3 , 7 , 2
Σ2X is calculated in the image = 24
Σ2X - 2 = 24 - 2 = 22
Σ( X - 1 )^2 calculation is shown, it is = 41
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|5-x|-|x+8|, if x>5
Answer:
just do it on ur caslc im pretty sure it would work
Step-by-step explanation:
7. Three cubes of edges x cm , 6 cm, and 8 cm are melted and recast into a bigger cube of
edge 12 cm , find the value of x?
Answer:
10 cm³
Step-by-step explanation:
Volume of a cube = (Side)³
Volume of bigger cube = (12)³
(12)³ = 1728 cm³
Volume of three cubes = (x)³ + (6)³ + (8)³ = 1728
(x)³ = 1728 - (6)³ - (8)³
(x)³ = 1000
x = ∛1000
x = 10 cm³
if ef bisects aed, aef=4x+3 and fed=7x-33 find m
Answer:
aef = fed = 51 degrees,
and the full angle aed = 102 degrees
Step-by-step explanation:
If ef bisects the angle aed, then the two angles it defines: aef and fed, must measure the same.
Therefore we can asume that aef = fed which numerically means:
4 x + 3 = 7 x - 33
so we solve for x:
33 + 3 = 7 x - 4 x
36 = 3 x
x = 36/3
x = 12 degrees
That means that the half angle aef measures:
aef = 4 x + 3 = 4 (12) + 3 = 48 + 3 = 51 degrees
Then we have that aef = fed = 51 degrees,
and the full angle aed = 51 + 51 = 102 degrees
In a deck of 52 playing cards, are the odds favorable that you will draw a heart od a diamond?
Answer:
So theres 13 cards of heart and diamond
so 26 cards out of 52,
26/52
Calculate the speed of a car that traveled 425 miles in 6 hours.
Answer:
70.833333
Step-by-step explanation:
Divide 425 by 6
Step-by-step explanation:
drugs dgxln fix ezutxohcpuvpucitzkyxoh pi
Which set of points are NOT collinear?
A
B
D
A and E
E and B
OD and B
OC and A
f(x) = -x² – 10x + 16
Find f(-7)
Answer:
-5
Step-by-step explanation:
or, f(x) = -x^2+10x+16
or, f(7) = (-7)^2+10*-7+16 (-7*-7=49)
=49-70+16
=65-70
=-5
find the interval between: 8:40 pm and 9:30 am
Answer:
12 hours 50 minutes
Step-by-step explanation:
8:40 pm to 9:30 am
8:40 pm to 8:40 am = 12 hours
8:40 am to 9:30 am = 50 minutes
The interval between 8:40 pm and 9:30 am is 12 hours and 50 minutes
What is an Interval?
An interval is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers. This range includes all the real numbers between those two numbers.
Given data ,
Let the interval be denoted as [ a , b ] , where a is the start point and b is the final point
Now ,
a = 8:40 pm
b = 9:30 am
The interval can be calculated by ( b - a )
8:40 pm → 8:40 am = 12 hours
8:40 am → 9:30 am = 50 minutes
Therefore , total interval = 12 hours and 50 minutes
Hence , The interval between 8:40 pm and 9:30 am is 12 hours and 50 minutes
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