After substituting values of x into the function f(x) = 3x, statement 'f(3) − f(1) = f(6) − f(4)' is found to be correct.
Explanation:In order to determine which statement is accurate, we need to substitute the values of x into the function f(x) = 3x and perform the correct operations.
Let's examine the options:
A) This does not include any operation, so this is not a valid statement.
B) f(3)·f(1) = 9*3 = 27; f(6)·f(4) = 18*12 = 216. So this is not true.
C) f(3) − f(1) = 9 - 3 =6; f(6) − f(4) = 18 - 12 = 6. This statement is true.
D) f(3) − f(1) = 9 - 3 = 6; f(-3) − f(-1) = -9 - (-3) = -6. So this is not true.
Therefore, the statement that must be true is 'f(3) − f(1) = f(6) − f(4)'.
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Considering the function f(x) = 3x the correct Option is C: f(3) − f(1) = f(6) − f(4) .
Let's analyze each statement for the function f(x) = 3x to determine which one is true:
A) f(3)/f(1) = f(6)/f(4):
This statement suggests a proportional relationship. Computing the values, we get f(3) = 9, f(1) = 3, f(6) = 18, and f(4) = 12. Therefore, f(3)/f(1) = 9/3 = 3 and f(6)/f(4) = 18/12 = 1.5, so the statement is not true.B) f(3)·f(1) = f(6)·f(4):
This statement suggests a multiplicative relationship. Using the same computed values, f(3)·f(1) = 9·3 = 27 and f(6)·f(4) = 18·12 = 216, so this statement is not true.C) f(3) − f(1) = f(6) − f(4):
This implies an additive relationship. Using the computed values, f(3) − f(1) = 9 − 3 = 6 and f(6) − f(4) = 18 − 12 = 6. Both sides are equal, so this statement is true.D) f(3) − f(1) = f(−3) − f(−1):
This implies another additive relationship, but with negative inputs. Computing these values, f(−3) = −9 and f(−1) = −3, then f(3) − f(1) = 9 − 3 = 6 and f(−3) − f(−1) = −9 − (-3) = −6. Therefore, this statement is not true.Therefore, the correct answer is C.
what are Prime numbers?
Answer:
Prime numbers are whole numbers that multiply itself by 1 and they cannot be multiplied by other numbers.
Some examples of prime numbers would be: 1, 2, 3, 5, 7...
In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m., you had served it all and had to make another pot. At this rate, how many cups would you serve per hour?
Answer:
36 cups
Step-by-step explanation:
every 20 minutes you make 12 cups. 20×3=60, which is 1 hour. You will meed to make 3 pots of coffee that are 12 cups each, 3×12=36
The cups would you serve per hour is 36.
We have given that,
In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m.
What is the one hour?one hour contains a 60 inutes
That is the 1 hour=60 minutes.
Every 20 minutes you make 12 cups.
20×3=60, which is 1 hour.
You will need to make 3 pots of coffee that are 12 cups each
3×12=36
Therefore, the cups would you serve per hour is 36.
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The rest Is:this behavior is called ____
Help me please 60 points!!
Answer:
Number 7 is phototropism due to the growth towards the sun and number 8 is Mitochondria as it provides atp which is currency for energy
7 is B
8 is A
Hope this helps :)
The original price of a DVD was 12. The price was reduced by 18% . What is the new price of the dvd.
Answer:
New price of DVD is $9.84
Answer:
The answer is C. $9.84
Step-by-step explanation:
The original price of the DVD is $12.
So, In order to calculate the price reduced by 18%
Original price - ( rate x Original price) = price reduced
18% = 18/100 = 0.18
$12 - (0.18 x $12) = price reduced
Solving
price reduced = $12 - $2.16
price reduced = $9.84
The new price of the DVD with the price reduced by 18% is $9.84
HELP ASAP PLEASE!!!!!
The net of a triangular prism is composed of____triangles and ____ rectangles
A triangular prism is a prism composed of two triangular bases and three rectangular sides
Two similar triangles are shown. Triangle RST was , then dilated, to create triangle ZXY. plzzzzzz
Answer: Translated (Option C)
Step-by-step explanation:
Two similar triangles RST was then dilated, to create triangle ZXY.
For dilation, translation should be done.
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.
As, ΔRST was dilated to form ΔZXY.
But, this can be done by translation , to create ΔZXY
The following information:
Since Triangle ΔZXY is slightly higher and to the right of triangle ΔRST.
So it should be translated.
so, that it could be dilated for ΔZXY.
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Determine the solution, if any, to the system of equations below.
8x - 2y = 1
-4x + y = 3
Answer:
DNE.
Step-by-step explanation:
8x - 2y = 1 ---------------------(1)
-4x+ y = 3----------------------(2)
Multiply (2) by 2
-8x +2y = 6 -----------------(3)
Add (1) to (3)
8x - 2y + (- 8x + 2y) = 1+6
8x - 2y - 8x +2y = 7
But all the terms in LHS cancel out, leaving 0.
So you get 0=7, which is not valid.
Therefore no solution exists. DNE
There is no solution to the system of equations.
Explanation:To solve the system of equations:
8x - 2y = 1
-4x + y = 3
Start by isolating a variable in either equation. Let's isolate y in the second equation by adding 4x to both sides: y = 4x + 3Substitute this expression for y in the first equation: 8x - 2(4x + 3) = 1Simplify the equation: 8x - 8x - 6 = 1Solve for x: -6 = 1. Since this equation is not true, there is no solution to the system of equations.Learn more about Solving systems of equations here:https://brainly.com/question/43883271
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Ryan rode his bike 18/4 miles. Which mixed number shows the fraction of miles he rode his bike?
Answer:
Step-by-step explanation:
4 1/2
Answer:
4 1/2
Step-by-step explanation:
18/4 = 4.5
4.5 = 4 1/2
Which point does NOT lie on the graph of the line 4x + 2y = 8?
A. (0, 4)
B. (3, -2)
C. (4, -4)
D. (-2, 4)
Like last time, we substitute in each one until we find one we see can't work, or just look at them and choose the one that doesn't look right.
D in this case doesn't look right, so we can substitute it in:
-8+8=8
That isn't true, that equation would equal 0.
Hope I helped (again), sorry if I'm wrong!
~Mschmindy
D. (-2,4) is the answer?
State the domain of this relation
Answer:
Step-by-step explanation:
The domain of this relation includes one each of the various x-values: {4, 5, 6, 8}; do not included 4 twice.
The domain is the x’s
Jeremy finished 3/5 of his homework what prevent of his homework did he finish
Answer:
60 percent.
Step-by-step explanation:
If y = 3x – 4 and the domain is { -3, -1, 4}, find the range. When the domain is -3, the range is ______. Show your work to find the range.
The answer is:
When the domain is -3, the range is -13.
Why?To solve the problem, we need to remember that the domain is also known as the input of the function, and the range of the function is also known as the output of the function.
We are given the inputs and we are asked to calculate the output of the function at -3, so, evaluating -3 into the function, we have:
[tex]y=3x-4\\f(x)=3x-4\\f(-3)=3*(-3)-4=-9-4=-13\\[/tex]
Hence, we have that when the domain is -3, the range is -13.
Have a nice day!
Can some one help me with 18
Answer:
82.6%
Step-by-step explanation:
Conditional probability is defined as:
P(A|B) = P(A∩B) / P(B)
where P(A|B) is the probability of A on the condition of B, P(A∩B) is the probability of both A and B, and P(B) is the probability of B.
Here, we want P(P|K), so:
P(P|K) = P(P∩K) / P(K)
P(P|K) = 0.019 / 0.023
P(P|K) = 0.826
82.6% of the members in the key club are also enrolled in AP Physics.
The Graph Of y=x^3 is transformed as shown in the graph below. Which equation represents the transformation function? HELP PLZ
ANSWER
[tex]y = {( - x)}^{3} - 4[/tex]
EXPLANATION
The parent or base function is
[tex]y = {x}^{3} [/tex]
This function has its y-intercept at the origin.
It has been transformed vertically so that its y-intercept is now at -4.
This is a transformation of the form
[tex]y = {x}^{3} - k[/tex]
where k=4.
The function is also reflected in the x-axis.
The new function is
[tex]y = {( - x)}^{3} - 4[/tex]
The new function is
a) [tex]y = {( - x)}^(3) - 4[/tex]
The parent or base function is
[tex]y = {x}^(3)[/tex]
This function has its y-intercept at the origin.
It has been transformed vertically so that its y-intercept is now at -4.
This is a transformation of the form
[tex]y = {x}^(3) - k[/tex]
where k=4.
The function is also reflected in the x-axis.
The new function is
a) [tex]y = {( - x)}^(3) - 4[/tex]
In order to solve by completing the square, what value needs to be added to
both sides of the equation: x2 + 8x = 17? (A.8A, RC 4, RS)
A 64
B 32
C 17
D 16
can someone please explain?
Answer:
16
Step-by-step explanation:
To find the term needed, use the binomial formula.
[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
Let 8x = 2ab, a is by default x, which leaves us with:
8x = 2xb
8 = 2b
b = 4
And by the binomial formula add [tex]b^2[/tex] to both sides, namely 16.
[tex]x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33[/tex]
Iliana’s math grade increased from 65 to 86. Fiona’s math grade increased from 70 to 80. What is the difference, rounded to the nearest whole number, between the approximate percent increases?
Answer:
18 points
Step-by-step explanation:
We first need to find the percent increase for both Iliana an Fiona.
To do so, we take the absolute value of difference (the score increase) and we compare/divide it by the original score they had.
So, for Iliana, we have a starting score of 65 and an increase of 21 (86-65).
Her percent of increase is 21/65 = 32.3%
For Fiona, she went from 70 and had a 10 points increase (80-70).
Her percent of increase is 10/70 = 14.3%
The difference between the two percent of increase is 18 points (32.3 - 14.3)
Answer with Step-by-step explanation:
Percentage increase in score is calculated by the formula:
[tex]\dfrac{New\ score-Old\ score}{Old\ score}\times 100[/tex]
Iliana’s math grade increased from 65 to 86.
Percentage increase in Iliana's score is:
[tex]\dfrac{86-65}{65}\times 100[/tex]
=[tex]\dfrac{21}{65}\times 100[/tex]
=32.31%
Fiona’s math grade increased from 70 to 80.
Percentage increase in Fiona's score is:
[tex]\dfrac{80-70}{70}\times 100[/tex]
=[tex]\dfrac{10}{70}\times 100[/tex]
=14.28%
Difference between percentage increases=32.31%-14.28%
= 18.03%
Hence, difference, rounded to the nearest whole number, between the approximate percent increases is:
18%
Which graph can be used to find the solution(s) to 8 – 4x = 2x – 4?
Answer:
To find the solutions to the system of equations we need to graph the following equations:
y = 8 - 4x (Red line)
y = 2x - 4 (Blue line)
The point of interception, is the solution to the system of equations.
By looking at the graph attached, you can see that the point of itersection is at (2,0)
Answer:
both lines intercept at (2,0) which would be the second graph (B)
Step-by-step explanation:
which graph shows the solution to the inequality
|x+3| ≥ 2?
Answer:
2nd number line
Step-by-step explanation:
When there is an absolute value inequality of the form |x+a| ≥ b,
We can say that the solution set (in a number line) would be:
we take the point x = -athen we go b units in both directions (left and right)start from those 2 points and draw arrows in both directions (left & right)Keeping these points in mind,
|x+3| ≥ 2
we start from x = -3
we go 2 units left and right, so we arrive at x = -5 and x = -1
then we draw arrows to both sides
looking at the choices, we see 2nd answer choices (graph) portrays it correctly.
Answer:
b
Step-by-step explanation:
What is the length
of HJ expressed in terms of pie?
im not sure but pie is 3.14
The data set below shows the number of books checked out from a library during the first two weeks of the month:
10, 89, 80, 95, 85, 92, 90, 9, 99, 97, 96, 92, 91, 88
Which of the following statements is true based on the data set?
There is one outlier, indicating very few books were rented out on that day.
There are two outliers, indicating very few books were rented out on those two days.
There are two outliers, indicating an abnormally large number of books were rented out on those two days.
There is one outlier, indicating an abnormally large number of books were rented out on that day.
Answer:
B
Step-by-step explanation:
There are two outliers, indicating very few books were rented out on those two days.
outlier: a person or thing situated away or detached from the main body or system. Since there are only two smaller numbers those are considered the outliers.
There are two outliers in this data set, indicating very few books were rented out on those two days. These outliers, 10 and 9, are significantly lower than the other data points and can skew the mean and standard deviation.
Explanation:To analyze outliers in a data set, we first need to understand that an outlier is a data point that is significantly different from the other points. In this data set, most of the numbers are close to 90, while two numbers stand out, 10 and 9. These numbers are significantly lower than other values.
From this, we can conclude that:
There are two outliers, indicating that very few books were rented out on those two days.
It's important to also note that the presence of outliers can often have a significant effect on the mean and standard deviation of the data set. So, in this case, the mean number of books rented per day and the variability (standard deviation) might be skewed by these outliers.
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Which expression is equivalent to 8c+6-3c-2
A.5c+4
B.5c+8
C.11c+4
D.11c+8
Answer:D
Step-by-step explanation:
You subtract 8-3 which is 11c and then you add 2 to 6 which is 8
Answer:
5c+5, A
Step-by-step explanation:
This is because 8c is combined with the negative 3c to make 5 c. 6 c is combined with negative 2 to creat positive 4.
Can some one help with this
Answer:
Yes its true its a straight line
Please help on 13!!!
I am pretty sure your test score has to be an 86.
Answer:
100
Step-by-step explanation:
Let the unknown score be x.
To find the average, you add all the scores and divide by the number of tests. Let's add all the scores including x:
89 + 95 + 76 + x = 260 + x = x + 260
All 4 scores, including the unknown one, add to x + 260.
To find the average, you divide the sum of the scores by the number of grades, which is 4 in this case.
The average is
(x + 260)/4
You want the average to be 90, so set the average equal to 90 and solve for x.
(x + 260)/4 = 90
Multiply both sides by 4.
x + 260 = 360
Subtract 260 from both sides.
x = 100
You must get a 100 on the next test.
(Start studying now!)
Jenna was alone in the house for two months. To pass the time, she read 216 comics and 150 novels. How many books did she read? She went to her friends Emilia’s house for 5 hours and went shopping for 1 hour. How many hours was she gone?
Answer:
She read 366 books and she was gone for 6 hours.
Step-by-step explanation:
216+150=366
5+1=6
Final answer:
Jenna read a total of 366 books, combining both the comics and novels. She was gone for 6 hours in total when visiting her friend Emilia and going shopping.
Explanation:
Jenna read a total of 216 comics and 150 novels. To find how many books she read, you simply add these two numbers together:
216 comics
+ 150 novels
216 + 150 = 366 books.
For the second part of the question, Jenna spent 5 hours at Emilia's house and went shopping for 1 hour. To find out how many hours she was gone, you add the two durations of time:
5 hours at Emilia's house
+ 1 hour shopping
5 + 1 = 6 hours gone.
If m
Answer choices are -
Which property is shown
Reflexive
Substitution
Symmetric
Transitive
Answer: symmetric or reflexive
Step-by-step explanation:
I'm not forsure but I believe that these are the two options bc the other two aren't forsure sorry dude I'm trying :0
I'll make you brainliest
Just need the answer
Area of that picutre of a quadrilateral
The area is 10 :) hope that helps
Edit:
Reason:
(a+b)/2 * h is the formula plug in the numbers and you get:
(4+6)/2 * 2
10/2 * 2
5 * 2
= 10 feet.
Which translation shifts the graph of f(x)=3x+3 onto g(x)=3x-3
Answer:
vertical translation of - 6
Step-by-step explanation:
given f(x) = 3x + 3
then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift of c units up ↑
• If c < 0 then a shift of c units down
shift from + 3 to - 3 is a vertical shift of 6 units down
The perimeter of a rectangle is 44. The length is 5 less than double the width. Find the dimensions
Length: 2w - 5
Width: w
2(2w - 5) + 2w = 44
Distribute:
4w - 10 + 2w = 44
Combine like terms:
6w - 10 = 44
Move 10 to the other side:
6w = 54
Divide by 6:
w = 9, which is the width. That means that 13 is the length.
To find the dimensions of the rectangle, we can set up a system of equations and solve for the width and length. By using the formula for the perimeter of a rectangle, we can find the values of the dimensions.
Explanation:To solve this problem, we can set up a system of equations based on the given information. Let's assume that the width of the rectangle is 'w', and since the length is 5 less than double the width, we can express the length as '2w - 5'. The perimeter of a rectangle is given by the formula 2(length + width), so we can use this formula to set up an equation:
2(2w - 5 + w) = 44
Simplifying this equation, we get 6w - 10 = 44. Solving for 'w', we find w = 9. Substituting this value back into the expression for the length, we find the length is 13.
Therefore, the dimensions of the rectangle are width = 9 and length = 13.
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In the figure below, mEHB = (4x-2) and m AHK = 48. What is the value of x?
12.5° or 13° depends how your teacher wants the answer. 4x-2 = 48
4x = 50
X = 12.5°
From the diagram, since[tex]$\angle AHK$[/tex] and [tex]$\angle EHB$[/tex] are supplementary angles, we have [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]
Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex] Solving for x, we get [tex]$x = \boxed{33.5}$.[/tex]
From the diagram, we see that angles [tex]$\angle AHK$[/tex] and [tex]$\angle EHB$[/tex] are supplementary angles.
Therefore, we have the equation [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]
Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex]
Simplifying both sides of the equation, we get [tex]4x-2 + 48 = 180$.[/tex]
Subtracting 46 from both sides of the equation, we get [tex]4x = 134$.[/tex]
Dividing both sides of the equation by 4, we get
[tex]x = \boxed{33.5}$.[/tex]
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Help ASAP 15 points worth
Answer: Im pretty sure A. x=-6 and y=-4
Answer:
X= -6
Y=-4
Is the Answer A