x intercept(y=0)
4y-3x=108
4×0-3x=108
-3x=108
x=108/-3
x=-36
y intercept(x=0)
4y-3×0=108
4y=108
y=108/4
y=27
Identify the 9th term of the given geometric sequence. [/tex]1/3, −1/9, 1/27, −1/81, ....
HELP ASAP PLEASE!!!
Step-by-step explanation:
Before we find the ninth term, we need to find the common ratio. The common ratio in a geometric sequence is the number that every number after the first one is multiplied by. For example, in the sequence {2, 4, 8, 16, 32, ...}, the common ratio is 2.
Now, for our example, the numbers in the sequence alternate between negative and positive numbers. What does that tell us about the common ratio? Well, the common ratio has to be negative because the negative sign keeps alternating.
So we know the common ratio is negative. But what about the rest of the number? Well, we can see that the ratio has a 1 in the numerator because the numerator is the same throughout the sequence (aside from the alternating negative sign).
Now that we've narrowed down the possibilities to -1/x, let's figure out the denominator of the common ratio. The denominator changes from 3 to 9 to 27 to 81. Do you see a pattern there? Each denominator is 3 times the value of the previous denominator. The denominator of the common ratio, then, must be 3.
Ok. We have our common ratio, -1/3, but the question we still need to find the 9th term in the sequence. Well, we can write out the pattern until we get to the term we want. But what if you were trying to find the one hundredth or the one thousandth term? That would take a very long time to write out. Instead, we can take the first number in the sequence (1/3) and multiply it by the our common factor to the power of the remaining terms. As a formula, this looks like: [tex]a_{1} *f^{n-1} = a_{n}[/tex], where a is your first term, f is your common factor and n is the number of the term you are trying to find.
So, finally, we can solve the problem.
1/3 * (-1/3)⁸ = a₉
1/3 * 1/6561 = 1/19683
So the value of the ninth term of the given geometric sequence is 1/19683.
I hope you learned something and it wasn't too difficult to understand.
Answer:
^^ what he said xD
Step-by-step explanation:
It was snowing again and I smiled as I stared at the white flakes fluttering by my window. It was (capitalized the C)Christmas, and my day had been one of the best all year. First I (had removed) awakened in the morning to the sound of my brother (added the n to runing)running madly around the house, yelling that it was Christmas. Jumping out of bed, (capitalized the i that was there)I skipped happily down the stairs, with my brother at my heels, and made my way to the Christmas tree in the living room. My parents(apostrophe removed from between the t and s) groggily walked down the stairs to watch us open (up removed) our presents. My Mom sat down on the couch and dad plopped himself on the floor, grumbling something about coffee. I started opening my presents because, after all, its ladies first. Ripping open the wrapping paper, I stared down at my brand(removed dash)new pink boom box. It was beautiful!(question mark changed to exclamation) (capitalized e)Even more, it came with little, stick-on jewels to decorate the boom box. Mom and Dad finally got their coffee and we all took turns watching each other open presents. I got(get turned to got) many more presents that were absolutely amazing. (changed every one into one word)Everyone spends the rest of the day admiring their gifts and playing with their new toys. "I will remember this Christmas forever,"(added endnote) I thought. (capitalized s)Sighing contentedly, I finally turned away from the snow (removed the e from what was danceing)dancing outside the window and rejoined my family.
Expand and simplify . 4a(2+3b)-5b(4a-10). PLEASE HELP. BEST ANSWER RECEIVES A BRIANLIEST
Answer:
12a+62b
Step-by-step explanation:
4a(2+3b)-5b(4a-10)
opening brackets
=8a+12b-20a+50b
=8a-20a+12b+50b
=-12a+62b
plzz answer this question i will mark brainliest
Answer:
Step-by-step explanation:
line 1.
y=3
line 2.
x=-1.2
line 3.
x=3
line 4.
y=-2.6
length=3-(-1.2)=3+1.2=4.2
width=3-(-3)=3+3=6
area=4.2×6=25.2
Can someone please please help me
A quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1).
Which statement correctly describes g(x)?
1. The line x = -5 is an axis of symmetry, and the vertex is a minimum because the y-values increase as the graph moves away from that function.
2. The line x = -5 is an axis of symmetry, and the vertex is a maximum because the y-values increase as the graph moves away from that function.
3. The line x = 5 is an axis of symmetry, and the vertex is a minimum because the y-values increase as the graph moves away from that function.
4. The line x = 5 is an axis of symmetry, and the vertex is a maximum because the y-values increase as the graph moves away from that function.
Answer:
Correct option: 3
Step-by-step explanation:
The points (2,1) and (8,1) have the same y-coordinate, so to find the vertex of the quadratic function (where the axis of symmetry will be located), we just need to find the average of their x-coordinate:
x_vertex = (2 + 8) / 2 = 5
The points (2, 1) and (-8, 33) show that when the graph moves away from the axis of symmetry (from x = 2 to x = -8), the y value increases (from 1 to 33), so the vertex is a minimum.
Correct option: 3
Answer:
3
Step-by-step explanation:
I had this question and got it right on a test
As a member of the Game Shop rewards program, you get a 12% discount on purchases. All sales are subject to an 8% sales tax. Write functions to model the discount and the sales tax, then identify the rule for the composition function that calculates the final price you pay Games Shop.
Answer:
the answer is 1.041
Step-by-step explanation:
you will do.... 12*8/100
The function to model the amount after the discount is x - 0.12x
The function to model the amount after the sales tax is x + 0.08x.
The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
12% = discount on purchases.
8% = sales tax.
Now,
If the item cost $x
The function to model the amount after discount.
f(x) = x - (12/100)x = x - 0.12x
The function to model the amount after the sales tax.
g(x) = x + (8/100)x = x + 0.08x
Now,
The rule for the composition function calculates the final price you pay Games Shop.
= x + 0.08x - 0.12x
= x - 0.04x
Thus,
The function to model the amount after the discount is x - 0.12x
The function to model the amount after the sales tax is x + 0.08x.
The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.
Learn more about functions here:
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multiply the polynomials (4x^2+3x+7(8x-5)
A. 32x^3-44^2-71x-35
B. 32x^3-4x^2-41x+35
C. 32x^3+4x^2+41x-35
D. 32x^3+4x^2+41x+35
Answer:
32x^3 + 4x^2 + 41x - 35
Step-by-step explanation:
Multiply each of the terms in bracket 1 with those in bracket 2.
4x^2 x 8x = 32x^3
4x^2 x -5 = -20x^2
3x x 8x = 24x^2
3x x -5 = - 15x
7 x 8x = 56x
7 x -5 = -35
Now, put them together and simplify:
32x^3 - 20x^2 + 24x^2 - 15x + 56x - 35
After simplifying:
32x^3 + 4x^2 + 41x - 35
Please Mark Brainiest
4
1 The senior class is selling T-shirts for a fundraiser. The graph below shows the profit, in
dollars, the senior class will earn based on the number of T-shirts sold.
Senior Class Fundraiser
y
1601
140!
1201
1001
Profit (dollars)
80F
60
40
20
Y
10 20 30 40 50 60 70 80
T-Shirts Sold
What is the slope of the line shown in this graph?
A $4 per shirt
B$2 per shirt
С$0.50 per shirt
D$0.25 per shirt
Answer: A.) $4 per shirt
Step-by-step explanation:
Slope of the graph is calculated as the ratio or proportion of chasing ein the y and x axis of a graph.
Slope(m) = [change in y / change in x]
One can draw a right angle triangle to meet the line of best fit provided in the graph to obtain the values for both the y and x axis.
HERE,
y2 = 120, y1 = 40 and x2 = 50, x1 = 30
Slope = (y2 - y1) / (x2 - x1)
Slope = (120 - 40) / (50 - 30)
= 80/20
Slope = 4
$4 per shirt
Henry buys a candy bar worth $3.20 plus a chocolate bar worth $1.60. How much change does he have leftover from $8.50? EXPLAIN!
Answer:
$3.70
Step-by-step explanation:
So you have $8.50
You but a candy bar for $3.20
8.50-3.20=5.30
you have $5.30 left to spend
From your remaining $5.30 you buy a chocolate bar that is $1.60
5.30-1.60=3.70
Leaving you with $3.70
What is the 5th term of the linear sequence below?
−
-5,-2,1,4,7,
Answer:
The sequence has '+3' each time, so the next will be 10
Step-by-step explanation:
it is 10 cuz it goes from -5 adding 3
Plz help...
I’m offering 10 pts
Answer:
B._________________________
model -5 + (-6) on the number line
Answer:
-5+(-6 )= -11 so you would pinpoint -11 on the number line
Step-by-step explanation:
How old am I if 2 times my age increased by 244 is 400?
Answer:
78
Step-by-step explanation:
400-244=156
156/2=78
Answer:
78 years old
Step-by-step explanation:
400 − 2 x = 244
400 − 244 = 2 x
156 = 2 x
so the answer would be 78 years old...
Hope that was helpful.Thank you!!!
Solve this using the substitution method please!! Y=425x+1139/Y=495x
I WILL MARK YOU BRAINLIEST!!!! HELP PLZZ
Answer:
exponential growth
Step-by-step explanation:
f(x) = 2 * 2^x
This is in the form
y = a * b^x where a is the initial value and b is the growth rate or decay rate
b > 1 so it is growth
This is the exponential form
y = mx+b is the linear form
Una fábrica mando a hacer recipientes que están formando por un cilindro y un cono unidos por la base, el volumen es de 41.86cm3, si el radio es de 2cm ¿cual es el largo del recipiente?
Answer: Suponiendo que la altura del cono y la del cilindro son iguales.
[tex]\pi r^2\times h+\frac{1}{3} \pi r^2\times h=41.86\\\pi (2)^2\times h+\frac{1}{3} \pi (2)^2\times h=41.86\\\\Solving\;for\;h\\h=2.49833[/tex]
1
The measure of Z1 =
Answer:
∠1 = 90°
Step-by-step explanation:
The angle inscribed in a semicircle is always 90°
∠1 = 90°
Please help!!!
a boat measures 40m long and 10m wide.
a scale model of the boat measures 50cm long.
what is the scale factor of the model?
Answer:
1 : 80
Step-by-step explanation:
So you want to check Length of model : Length of real boat
50 cm : 40 m
But since the units don't match, make 40 m into 4000 cm
50 cm : 4000 cm
Divide both sides by 50 and you get
1 : 80
Please help! Correct answer only!
In a raffle, one ticket will win a $900 prize, and the remaining tickets will win nothing. There are 500 in the raffle. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80
Step-by-step explanation:
Take the probability of winning into consideration;
[tex]Total Number of Tickets - 500,\\Tickets 1 Person Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 500,\\Money Won - 900 Dollars,\\\\Proportionality - 1 / 500 = x / 900 - where, x = " Expected Payoff "\\1 / 500 = x / 900 - CrossMultiplication,\\\\500 * x = 900,\\x = 900 / 500,\\x = 1.80 Dollars Won!\\\\Conclusion ; x = 1.80 Dollars[/tex]
Solution ; " Expected Payoff " ⇒ $ 1.80
Holly made 12 pair of earrings for each of her girlfriends. To wrap the pairs individually, she creates a simple cardboard gift box to fold into a pyramid. The base is a square with side lengths 10c m. The sides are 4 equilateral triangles with side lengths 10 cm and height h. The height h is approximately 8 2/3 cm. In square centimeters, what is the minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually?
Answer:
3280cm²
Step-by-step explanation:
We are told the gift box is folded into a Pyramid with a square base.
Hence, we are to find the Surface Area of a square pyramid
From the question, we are given:
Length of the base of the square = 10cm
Triangle
Side length = 10cm
Height = 8 2/3 cm
A square Pyramid has 5 faces: 4 triangles and 1 square.
Step 1
Find the Area of the square
Formula = Side length² this is because all the side of a square is equal.
Length of the base = 10cm
Area of the square = (10cm)²
= 100cm²
Step 2
Find the Area of the triangle. We are told the 4 triangles are equilateral, which means their side are equal.
Hence, for one triangle.
Area of a triangle = 1/2 × base × height
Base = side length = 10cm
Height = 8 2/3 = 8.6666666667cm
Area of a triangle = 1/2 × 10 × 8.6666666667
Area of a triangle = 43.333333333cm²
Since we have 4 triangles
We would have : 4 × 43.333333333cm²
= 173.33333333cm²
The Area of the 4 equilateral triangles =
173.33333333cm²
Step 3
The Surface area of the Square Pyramid
= Sum of the areas of all the faces.
= 100cm² + 173.33333333cm²
= 273.33333333cm²
Therefore, the minimum amount of cardboard needed to make one gift box = 273.33333333cm²
Step 4
The minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually is calculated as: 12 × 273.33333333cm²
= 3280cm²
Topic: Probability
Only complete question 12.
Answer:
see below
Step-by-step explanation:
bag: 3 red + 2 black = 5 total
Box: 4 green + 1 yellow = 5 total
P(red) = number of red/ total in bag = 3/5
P(green) = number of green / total in box = 4/5
P( red, green) = P(red) * P(green) = 3/5*4/5 = 12/25
Find the slope of the line that passes through (2, 12) and (5, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The right answer is -2/3
please see the attached picture for full solution
Hope it helps
Answer:
[tex]slope = - \frac{2}{3} [/tex]
Step-by-step explanation:
[tex](2 \: \: \: ,\: \: \: 12) = > (x1 \: \: \: , \: \: x2) \\ (5 \: \: \: ,\: \: \: 10) = > (y1 \: \: \: , \: \: \: y2)[/tex]
[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 10}{2 - 5} \\ = \frac{2}{ - 3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Mrs. Jackson made a line plot of the times it took students to complete a project.
She made a line plot to display the data.
Line plot named as ALTDCTime Spent Completing ProjectALTDC shows a number line from 0 to 5. The number line is divided into 10 equal parts. 1 dot on 1, 2 dots on one and half, 4 dots on 2, 3 dots on two and half, 2 dots on three and half, 1 dot on 4 and 1 dot on four and half is given.
Part A
What is the outlier in the data set?
A. 1
B. 2
C. 3
D. There is no outlier.
Part B
Which explains your reasoning in Part A?
A.
There is no value that is very different from the other values.
B.
This is the most common value in the data set.
C.
This value is very different from the other values.
D.
There are no data values above this number.
Answer: D
Step-by-step explanation: D
some teachers travelled to school by car the table shows the number of teachers in the cars a)what was the modal number of teachers in the cars b) what was the median number of teachers in the cars c) what was the mean number of teachers in the cars
Answer:
WE need the numbers
Step-by-step explanation:
a
Answer:
a)3
b)3
c)?
Step-by-step explanation:
what is the quotient (2x^2+12x+18) divided by (x+3)
CHOICES:
a. 2x+6
b. 2x-6
c. 2x+4
d. 2x-4, r=1
Answer:
A. 2x+6 is the correct answer
Zara ate 75 almonds this week, or 150% as many as she ate last week. How many almonds did Zara eat last week?
Zara ate 50 almonds last week which is 150% as many as she ate last week.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.
Let's assume that she eat x almonds last week
As per the given question, we can write the percentage would be as
⇒ 150% of x = 75
⇒ (150/100) x = 75
Apply the cross-multiplication operation,
⇒ 150x = 7500
Divided by 150 into both sides of the above equation,
⇒ x = 7500/150
⇒ x = 50
Therefore, she eat 50 almonds last week.
Learn more about the percentages here:
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A piece of rope measuring 4m is cut into 8 equal lengths. How long will each piece be?
Answer:
each piece will be half a metre long
Step-by-step explanation:
4m into cm is 400cm
400 divided by 8 is 50cm
in metres this would be 0.5m a.k.a half a metre
write an equation to represent the total cost for a certain number of cans. Use "c" for cost and "n" for number of cans
Answer:
C(n)=1.25n
Where n= number of cans
Step-by-step explanation:
C=cost
n=number of cans
Quantity Total cost
1 $1.25
2 $2.50
3 $3.75
4 $5.00
Total cost, c(n) =1.25n
Check
Total cost when n=4
Total cost c(4)=1.25×4
Total cost c(4)=5.00
Triangle XYZ has vertices X(-6, 3), Y(4,5), and Z(-2,-1).
View
f Step-by
Part 1 out of 3
Find the vertices of triangle X'Y'Z' after a translation of 9 units to the right.
Video T
The vertices are X
and Z
Pls I don’t get this !!!!
Answer:
see explanation
Step-by-step explanation:
A translation of 9 units to the right means adding 9 to the x- coordinates of the original points, while the y- coordinate remains unchanged, thus
X(- 6, 3 ) → X'(- 6 + 9, 3 ) → X'(3, 3 )
Y(4, 5 ) → Y'(4 + 9, 5 ) → Y'(13, 5 )
Z(- 2, - 1 ) → Z'(- 2 + 9, - 1 ) → Z'(7, - 1 )
how many 1/2’s are in 5 and 3/4’s
Answer:
11 and a 1/2
Step-by-step explanation:
I'm not sure if this is correct but here is my reasoning....
per every 1 there are two 1/2's so multiply 5x2 to get 10.
next, 1/2 is equivelent to 2/4 so subtract 3/4-2/4 (adding another 1/2 to our previous answer of 10 to get 11) and you have 1/4 left.
lastly, since 1/4 is half of 1/2, add 1/2 to 11 to get the final answer of 11 and a 1/2.
there are 11 and a half 1/2's in 5 and 3/4.