5. What linear function defines the following Arithmetic Sequence?
-4, -1, 2, 5, 8,...
an = 4 - 3(n-1)
an = -4 -3(n-1)
an = 4 + 3(n - 1)
an = -4 + 3(n - 1)
Answers
Answer
A
Step-by-step explanation:
The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
What is an arithmetic progression?
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given series is -4, -1, 2, 5, 8. The common difference of the series is calculated as,
d = -1 - ( -4 )
d = -1 + 4
d = 3
The equation will be written as,
an = a₁ + d(n - 1)
an = -4 + 3(n - 1)
Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
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Related Questions
* Help!
* Need steps!
* Answer only if you know, thanks!
Answers
[tex]\text{Given that,}~3x-y = 12\\\\\\\dfrac{8^x}{2^y} =\dfrac{(2^3)^x}{2^y } = \dfrac{2^{3x}}{2^y} = 2^{3x-y} = 2^{12}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve ~
[tex] \sf3x - y = 12[/tex][tex] \sf3x = y + 12[/tex]now, evaluate the value of given expression ~
[tex] \sf \dfrac{ {8}^{x} }{ {2}^{y} } [/tex][tex] \sf \dfrac{{(2 {}^{3} ) }^{x} }{ {2}^{y} } [/tex][tex] \sf \dfrac{2 {}^{3x} }{ {2}^{y} } [/tex]Now, plug the value of 3x from the previous equation ~
[tex] \sf \dfrac{(2 ){}^{y + 12} }{ {2}^{y} }[/tex][tex] \sf2 {}^{ \ \cancel y + 12 - \cancel y} [/tex][tex] \sf{2}^{12} [/tex]Therefore , the required expression is ~ 2¹²
heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour heather works on their hair style.as back to school special she offers to lower her price per hour by $5 what equation represents the total amount paid to heather,y,after x hours of hair styling
Answers
Answer:
y = 5 + 7x
Step-by-step explanation:
So 5 is going to be a constant factor. So Y is gonna equal 5 plus something. 12 dollars for every hour is 12x and there is a 5 dollar discount. 12-5 = 7 and so it is 7 dollars per hour.
So the total cost Y equal the constant 5 and 7x
Y = 5 + 7x
2. A group of 40 subjects was divided into two groups with one group given an energy drink and one group
given water. The subjects were then given a spelling test and
the mean number of words correctly spelled was
recorded for each member of the two groups. This experiment was designed this way to quantify which of the
following types of variability?
(1) natural
(3) induced
(2) sampling
(4) measurement
Answers
The design of the experiment was done to quantify induced variability.
What is induced variability?
Induced variability is when a variable that is not naturally present in the experiment is introduced into the experiment in order to test the response of respondents to the variable introduced. The artificial variable that was introduced into the experiment was energy drinks.
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Pls help me it’s due at 12:00
Answers
Step-by-step explanation:
# easy learning
good luck and god Blees
Which statements are true about the scatter plot? Select all that apply:
(Graph is attached)
A. Most players are between 60 & 70in tall
B. Players scored between 40 & 80 points
C. There is an outlier at about (70,23)
D. There is a weak positive association between height & points scored
Answers
Answer:Nooo please don’t put B. It’s A,C, and D
Step-by-step explanation:
7y-9=-3
What is the value of 9? HELP!!!
Answers
wait im wrong i didnt even read that correctly
Answer:
Sry but I don't understand what you wrote
Step-by-step explanation:
Is this relation a function? Justify your answer.
11
10
.
9
8
7
6
5
.
- NAU
4
3
2
1 2 3 4 5 6 7 8 9 10 11
O A. Yes, because every x-value corresponds with a single y-value.
O B. Yes, because the number of x-values is the same as the number of
y-values.
O C. Yes, because every x- and y-value is positive.
D. No, because two points with the same y-value have different x-
values.
st
Answers
The reason why the given graph relation is considered to be a function is because;
A. Yes, because every x-value corresponds with a single y-value.
From the given graph, we see the (x, y) coordinates as;
(5, 4)
(7, 2)
(6, 9)
(3, 10)
Now, we see that none of the x-values are the same and likewise none of the y-values are the same.
This means that each of the x-values have a unique y-value.
Thus, it can be said to be a function
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To train for an upcoming marathon, Susie plans to run 2 miles per day the first week and then increase the daily distance by a half a mile each of the following weeks.
There are many ways to approach this problem.
Week Miles
1 2
2 2.5
3 3
4 3.5
5 4
6 4.5
Write an equation to represent the nth term of the sequence.
Answers
Answer:
f(x)= .5x + 2
Step-by-step explanation:
Now this is not to complicated
first the constant is 2
after each day she gains .5 miles
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation to represent the nth term of the sequence is y=0.5x+2.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Let the distance travelled by Susie in any week,x be represented by y.
Given that Susie will run 2 miles in the initial or in the first week. Therefore, the distance for the initial work week will be,
Initial distance = y-intercept = c = 2
Further, if the daily distance is increased by half a mile each of the following weeks. Therefore, the slope of the equation is the change in the distance, therefore, we can write,
Slope, m = Change in the distance = 0.5
Now, if the equation represents the nth term of the sequence, then we can write,
y = mx + c
y = 0.5x + 2
Hence, the equation to represent the nth term of the sequence is y=0.5x+2.
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Calculate the measure of angle L
Answers
==================================================
Explanation:
Lines LM and LP are tangent to the circle at points M and P respectively. The dashed radius lines are perpendicular to those tangents, which means we have 90 degree angles at points M and P.
For any quadrilateral, the four angles always add to 360 degrees.
L+M+O+P = 360
L+90+165+90 = 360
L+345 = 360
L = 360-345
L = 15
Another route you can use is the fact that opposite angles L and O are supplementary
L+O = 180
L+165 = 180
L = 180-165
L = 15
pls answer quickly
A pool charges $7 for 2 daily pool passes. Which table could represent the situation?
Answers
Answer: B
Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.
All I need is the answer Please and thank you
Answers
Should be 40ft. If not, I dearly apologize.
Answer:
40ft tall
Step-by-step explanation:
Hope this helps :)
The rocket club is 60% boys. The number of boys is 3 less than 2 times the number of girls. Hov
many girls and how many boys are in the club?
Answers
Answer:
no of girls - 300
no of boys - 450
no of girls - 6
no of boys - 9
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
Given
Let boys be x and girls y
x = 2y-3
x - 2y = -3 ------(i)
x = 60/100(x+y)
10x = 6x + 6y
4x = 6y
2x = 3y
2x - 3y =0------(ii)
Subtract (ii) from (i)*2
no of girls - 6
no of boys - 9
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Name an angle adjacent to FGI
JGI
HGJ
DGE
HGE
Answers
Answer:<JGI
Explanation:
Any angle with the letter H can not be as it is on the opposite side. Leaving you with <JGI and <DGE. <DGE is beside angles DGF and angle EGH
Hope this helps.
The adjacent angle of the angle ∠FGI will be ∠JGI. Then the correct option is A.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
An angle is a structure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
From the figure, the contiguous point of the point ∠FGI will be ∠JGI. Then the right choice is A.
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A tank is 5 metre long 3 metre wide and 1 m high. how many litre of water can it hold?
Answers
Answer:
15,000 liters
Step-by-step explanation:
First, find the volume in meters. 5*3*1=15 meters
1 meter = 1000 liters
(x15)
15 meters = 15000 liters
Hope this helped :D
The graph of the function has slope of 1 and y-intercept of -6.
Answers
Answer:
y=1x-6
Step-by-step explanation:
y=mx+c
c = -6
m = 1
therefore
y= mx+c
y = 1x-6
Order the expressions by choosing >,<,or =
Answers
Answer:
==<Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(c^b) = (ac)^b
(a^b)(a^c) = a^(b+c)
__
1. 3^3 × 5^3 = (3×5)^3 = 15^3 . . . . equal
2. 3^5 × 3^3 = 3^(5+3) = 3^8 . . . . equal
3. 3^5 × 5^3 = 3^5 × (5^(5 -2) = (3^5 × 5^5) × 5^(-2)
= 15^5 × 5^-2 < 15^15 . . . . less than
_____
Additional comment
Your calculator can evaluate these expressions so you can see their relationships.
i need help with this!!
Answers
Answer:
Kim is younger than 6 years
Step-by-step explanation:
Answer:
Step-by-step explanation:
(3,6) in a 180 degree rotation
Answers
Answer:
(-3,6)
Step-by-step explanation:
There's a formula for this, but it's just reflecting it across the y-axis.
Hope this helped! :)
Catherine walks her dog
[tex] \frac{3}{4} [/tex]
mile everyday. How far does she walk each week?:
Answers
Answer:
[tex]5\frac{1}{4}[/tex]
Step-by-step explanation:
Catherine walks her dog 3/4 a mile everyday.
We want to find how far she walks each week.
There are 7 days a week and she walks 3/4 a mile everyday so weekly she walks 3/4 * 7 = 5 1/4 mile a week.
3/4 x 7 = 5.25 (21/4 in fractions)
The top row contains solutions for the value of c. The bottom row contains equations that must be solved to find c. Drag each solution into the box with the matching equation.
7
20
12
9
c is 4 times as many as 5.
27 is c times as many as 3.
6 times as many as c is 72.
8 more than c is 15.
which one is it??
Answers
2. 27 is c times as many as 3 = 9
3. 6 times as many as c is 72 = 12
4. 8 more than c is 15 = 7
Pls give me the brainliest if these are right. Hope this helps
A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table.
A 2-column table with 7 rows. The first column is labeled x with entries 2, 3, 5, 6, 7, 8, 9. The second column is labeled f(x) with entries 12, 10, 10, 8, 9, 5, 6.
Using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18?
−5
−2
3
12
Answers
Answer:
-2
Step-by-step explanation:
f(x)≈ -0.86x+13.5
putting x=18 in f(x), we get
f(x)≈ -0.86×18+13.5
⇒ f(x)≈ -15.48+13.5
⇒ f(x)≈ -1.98
⇒ f(x)≈ -2
Answer:B
Step-by-step explanation:
The answer is B also known as -2
find the missing value y=-2+4
Answers
Answer:
y = 2
Step-by-step explanation:
Charnise uses 3 gal. red paint to 5 gal. white paint to make pink paint. She
needs 24 gal. of pink paint. How many gallons of red paint will she need?
Answers
The method into creating pink paint is mixing 3 gallons of red paint and 5 gallons of white paint together. This mixture only creates 8 gallons of paint and she needs 16 more. List the factors of 16:
1, 2, 4, 8, and 16
We notice that 8 can be factored out of 16 and becomes:
16 / 8 = 2
If we multiply the sample by 3 (the one already counted plus the two extra), we can discover how much paint is needed. Multiply everything by 3:
3 x 3 = 9
5 x 3 = 15
So in this case, 15 gallons of white paint and 9 gallons of red paint are need and combine for 24 gallons in total.
In which quadrant does the point (-6,4) lie?
Answers
pls help me answer this it's due today
Answers
Answer:
I think its 21 But if its times then its 240
Step-by-step explanation:
Hope this helped
Answer:
120
Step-by-step explanation:
formula for volume is area×height
so
v=1 /2b×h×l
v=1/2×5×4×12
v=2.5×4×12
v=10×12
[tex]v= {120cm}^{3} [/tex]
If my friend answers this question under 5 seconds he's a god
Answers
x = 9
Scale size is 3 so multiply all terms in ABC by 3.
Solve the inequalities d/13_>-3
Answers
Answer:
d > -39
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
I have no clue lol
I accidently put supplementary so ignore that.
Answers
Answer:
5. Vertical
6. 133°
Step-by-step explanation:
These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.
What is the slope of the line with the equation: y+6=24-2x
pleeaseeee
Answers
Answer:
The slope is -2
Step-by-step explanation:
y+6=24-2x
y=18-2x
y=-2x+18
Answer:
Slope = -2
Step-by-step explanation:
Changing this problem (y+6=24-2x) to Slope Intercept form turns it into y=-2x+18.
the formula is written as y=mx+b m=slope b=y-intercept and x & y being a certain number that is unknown . Therefore, the slope of the equation y=-2x+18 will be
m=-2/1 rise/run
Which congruence criteria is met in the following scenario?
ASA
SAS
HL
AAS
SSS
Answers
Answer:
B) SAS
Step-by-step explanation:
Explanation:
SAS = side angle side
The sides with the tickmarks form one pair of congruent sides, and refer to the first "S" of "SAS".
The marked angles are congruent, and they refer to the "A" in "SAS".
Lastly, the overlapping or shared side TJ leads to the second "S" of "SAS".
Notice how the angles are between the sides mentioned. The order is important.