Answers
b
Related Questions
The vertex of the parabola described by the equation 3y=2x^2-16x+18 is (m,n). What is m+n?
Answers
Answer:
the aswer is 32
Step-by-step explanation:
The vertex of the parabola described by the equation 3y=2x^2-16x+18 is (m,n). the sum of m + n is 178/27.
To find the vertex of the parabola described by the equation 3y = 2x^2 - 16x + 18, we first need to put the equation in the standard form of a parabola, which is y = a(x - h)^2 + k, where (h, k) represents the vertex.
Let's begin by dividing the entire equation by 3 to simplify it:
y = (2/3)x^2 - (16/3)x + 6
Now, we need to complete the square to rewrite the equation in the form y = a(x - h)^2 + k:
y = (2/3)(x^2 - (8/3)x) + 6
Next, we need to find the value that completes the square for the expression inside the parentheses. To do that, we take half of the coefficient of x and square it:
(8/3) / 2 = 4/3
(4/3)^2 = 16/9
Now, we add and subtract 16/9 inside the parentheses:
y = (2/3)(x^2 - (8/3)x + 16/9 - 16/9) + 6
Now, we group the first three terms and factor the perfect square trinomial:
y = (2/3)((x - 4/3)^2 - 16/9) + 6
Next, distribute the (2/3):
y = (2/3)(x - 4/3)^2 - (2/3)(16/9) + 6
Now, simplify:
y = (2/3)(x - 4/3)^2 - (32/27) + 6
Finally, bring everything together:
y = (2/3)(x - 4/3)^2 + (142/27)
Now we can see that the vertex of the parabola is at the point (h, k) = (4/3, 142/27).
To find m + n, we simply add the x-coordinate (h) and the y-coordinate (k):
m + n = 4/3 + 142/27
To add these fractions, we need to find a common denominator, which is 27. Convert 4/3 to have a denominator of 27:
4/3 = (4/3) * (9/9) = 36/27
Now we can add the fractions:
m + n = 36/27 + 142/27
m + n = (36 + 142)/27
m + n = 178/27
To know more about vertex of the parabola:
https://brainly.com/question/29267743
#SPJ2
The length of the Titanic was 882 feet. Porter's history class is building a model of the Titanic. The model is 1/100 of the actual length of the ship. How long is the model?
Answers
Answer:
8.82 feet
Step-by-step explanation:
Explanation:
Let's set up the ratio. We know that the actual length of the ship was 882 feet and we want to know how long the model will be. We also have a ratio of 1 model length to every 100 actual length. So we can write this as:
Model length
Ship length
=
1 Model length
100 actual length
And we can drop in some numbers (I'll also put in the variable
x
to represent the length of the ship model):
x
882
=
1
100
Let's cross multiply to solve for x:
100
x
=
882
x
=
8.82
feet
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 7. These points are joined by a line. The label on the x-axis is Number of pans. The title on the y-axis is Number of cakes.
Group of answer choices
A. Yes, it is a proportional relationship because the graph goes through the origin
B. Yes, it is a proportional relationship because the graph is a straight line
C. No, it is not a proportional relationship because the graph is not a straight line
D. No, it is not a proportional relationship because the graph does not go through the origin
Answers
Answer:
C. No, it is not a proportional relationship because the graph is not a straight line
Step-by-step explanation:
The population of Jacobtown is 14,312 and the population of Waltterville is 8,944. What is the combined population of Jacobtown and Waltterville?
Answers
Answer:
23,356
Step-by-step explanation:
You have to add 14,312 and 8,944 to get the total population.
answer please last one was blurry
Answers
Answer: I believe its C, the picture is still a little blurry
Step-by-step explanation:
uuhhh help me out please?
Answers
Wesley bought one T-shirt for $7.90 and another T-shirt for $12.40. What is the total amount he spent?
a. $20.30
b.$20
c.$4.50
d.$4
(brainliest included for correct answer)
Answers
Answer:
20.30
Step-by-step explanation:
if you multiply 12.40 to 7.90 u will get 20.30
7.90 plus 12.40 equals 20.30
The total weight of the golf balls from Julio’s golf bag was 273 grams. If each golf ball weighed 45.5 grams, which graph shows the weight of golf balls as it relates to the number of golf balls?
Weight of Golf Balls
Number of Golf Balls
Weight (in grams)
1
45.5
2
?
3
?
?
273
On a coordinate plane, the x-axis is labeled number of golf balls and the y-axis is labeled weight (in grams). A line goes through point (1, 50) and (6, 275).
On a coordinate plane, the x-axis is labeled number of golf balls and the y-axis is labeled weight (in grams). A line goes through point (10, 50) and (50, 300).
On a coordinate plane, the x-axis is labeled number of golf balls and the y-axis is labeled weight (in grams). A line goes through point (50, 1) and (250, 5.5).
On a coordinate plane, the x-axis is labeled number of golf balls and the y-axis is labeled weight (in grams). A line goes through point (50, 9.9) and (300, 50).
Answers
ANSWER:
A
EXPLAIN:
Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be
273/6=45.5 g
1 ball=45.5 g
2 balls =2*45.5=91 g
3 balls =3*45.5=136.5 g
4 balls=4*45.5=182 g
5 balls =5*45.5=227.5 g
6 balls =6*45.5=273 g
Answer is A hope this helps :)
(04.05)Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110% more time doing homework this week. Is he correct? Show your work to justify your decision.
Answers
Answer:
No
Step-by-step explanation:
No he is not correct because,
11 - 10 = 1
So he spent 1 more hour this week. So.....
1/10 x 100 = 10% more which is not 110%.
Hope this helps :)
Have an Awesome day! ;)
The sales tax on a surfboard is $12. What is the percent of sales tax?
surfboard is 240$
The percent of sales tax is
____%
Answers
Answer:
it is a 5% sales tax
Step-by-step explanation:
12/240= 0.05
0.05 x 100 = 5%
PLEASE, I NEED HELP! I’M DOING AN ASSIGNMENT AND ITS DUE NEXT TUESDAY!
Answers
Step-By-Step-Solution: 1. Find notes on what you’re doing 2. Wright them down 3. Study them 4. Wallah you’re done you can thank me later :D
What is the solution to the proportion a/b = c/d?
Answers
Answer:
I hope this helps
Step-by-step explanation:
a/b=c/d
If we can simply multiply
we have!
a x d = c x b
= ad = cb
In 12 ½ minutes, Dulce read 50 pages.
a. On average, how many pages did she read per minute?
b. On average, how many minutes does it take to read one page?
Answers
Answer:
a. 4 pages per minute
b. one forth of a minute or 15 seconds
Step-by-step explanation:
a. divide total pages by minutes 50/12.5
b. divide minutes by pages 12.5/50
All of the following statements describe the relation shown except _____.
The diagram represents a function.
The inputs are {-1, 0, 3, 4}.
The outputs are {-2, -1, 1}.
This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}.·∵·
Answers
Select all of the rational numbers. (there can be more than one)
3^-1
square root of 12
square root of 9
-0.25
pi
0.6 (the six has a line over it)
Answers
Answer:
3^-1, square root of 9, -0.25, and 0.6
Step-by-step explanation:
Rational numbers are numbers that you can turn into fractions.
3^-1 = 0.3333333333... which is also known as 1/3
square root of 9 = 3, which can be written as 3/1
-0.25 can be written as -1/4
0.66666666... = 2/3
The numbers 3⁻¹ , sqrt(9), -0.25 and 0.6 are the rational numbers.
What is Number system?A number system is defined as a system of writing to express numbers.
The rational numbers are those that can be expressed as a ratio of two integers.
3⁻¹ = 1/3, which is a rational number.
sqrt(12) = sqrt(4 x 3) = 2sqrt(3), which is irrational.
sqrt(9) = 3, which is a rational number.
-0.25 = -1/4, which is a rational number.
pi is irrational.
0.6 = 3/5, which is a rational number.
Hence, 3⁻¹ , sqrt(9), -0.25 and 0.6 are the rational numbers.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ3
Which relationship could be the one shown on the graph?
On a coordinate plane, a line goes through points (2, 19) and (4, 38).
Misaki had 2 identical pencils that weighed a total of 19 grams, where x is the number of pencils and y is the total weight of the pencils.
Misaki wrote 2.5 pages in 20 minutes, where x is the number of pages and y is the time in minutes.
Misaki ate 5 cookies each with 65 calories, where x is the number of cookies and y is the total number of calories.
Misaki spent 47.5 minutes working on 5 math problems, where x is the number of minutes and y is the number of math problems.
Answers
Answer:
Misaki had 2 identical pencils that weighed a total of 19 grams, where x is the number of pencils and y is the total weight of the pencils.
Step-by-step explanation:
Answer:
Misaki had 2 identical pencils that weighed a total of 19 grams, where x is the number of pencils and y is the total weight of the pencils.
Step-by-step explanation:
Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria?
A.) 45,000x + 2,500x = 54,000x + 1,500x
B.) 45,000x +2,500 = 54,000x + 1,500
C.) 45,000 + 2,500x = 54,000 + 1,500x
D.) 45,000x + 2,500x = 54,000x + 1,500
Answers
Geri used coupons at the grocery store and received a discount of $40.94. Once her discount was subtracted, the final cost of her purchases was $122.80. What was the approximate percent decrease in the price of her groceries due to the coupons?
Answers
Step-by-step explanation:
Price after discount = 122.80
Discount = 40.94
So, amount before discount = 122.80 + 40.94 = 163.74
[tex]decrease[/tex] [tex]in[/tex] [tex]price[/tex] = [tex]\frac{discount}{original price}[/tex] x 10
= [tex]\frac{40.94}{163.74} (100)[/tex]
= 0.25
= 0.25 x 100
= 25%
Isaac applied the steps below to find the product of (4.2)(–5.4). Step 1: (4.2)(–5.4) = (–5.4)(4.2) Step 2: = (–5.4)(4) + (–5.4)(0.2) Step 3: = (–21.6) + (–1.08) Step 4: = –22.68 Which step shows where Isaac applied the distributive property? Step 1 Step 2 Step 3 Step 4 will mark BRAINLIEST FOR QUICKEST CORRECT ANSWER
Answers
Answer:Isaac applied the distributive property in Step 2.
Answer:
a
Step-by-step explanation:
step shows where Isaac applied the distributive property
Fill in the missing fractions
Answers
Answer:
The second choice.
Step-by-step explanation:
1/5 = 20%
2/5 = 40%
3/4 = 75%
Answer:
The answer is the second option, X= 1/5, Y= 2/5, Z= 3/4
Find the number of the quadrant that contains the point (4,-3)
Answers
Answer:
Quadrant IV
Step-by-step explanation:
(+, +) -> Quadrant I
(-, +) -> Quadrant II
(-, -) -> Quadrant III
(+, -) -> Quadrant IV
can someone help me with this please.
Answers
Answer:
im not good at math
Step-by-step explanation:
Answer:
m = 0.75/1
b = 0
Step-by-step explanation:
You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1450. How many of each type of ticket did you sell?
Answers
Answer:
5 stars? Answer down below
Step-by-step explanation:
a+b=350 => a=350 - b
3a + 5b = 1450
3(350-b)+b=1450
1050-3b+5b=1450
2b=400
b=200
a=150
There are 200 student ticket and 150 general admission ticket sold.
What is selling price?The selling price is used to sell the item at a certain cost and can be calculated using the selling price formula. The amount that the buyer pays to buy the product is called the selling price.
Here,
We sold some number, x, of $5 tickets and some number, y, of $3 tickets. If we sold 350 tickets total then x + y = 350. If we made $1450 total on ticket sales, then the sum of y tickets at $3 plus x tickets at $5 needs to equal $1450.
So,
$3y + $5x = $1450
and x + y = 350
Solve system of equations.
3(350-x) + 5x = 1450
1050 -3x + 5x = 1450
2x = 400
x=200
y + 200 = 350
y=150
Thus, there are 200 student ticket and 150 general admission ticket sold.
Learn more about Selling Price from:
https://brainly.com/question/17960775
#SPJ2
A small motor boat can go 182 nautical miles at a steady speed in 13 hours. How far can it go in 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 hours.
Answers
Answer:
The answer is on google.
Step-by-step explanation:
Please answer this question and answer correctly.
Answers
Answer:
C. 11
Work:
y=number of misses
x=number of scores
Points: 2x-0.5y=2(7)-0.5(6)=14-3=11
Hope this helps; please vote brainliest.
Which expressions are equivalent?
Answers
Answer:
A
Step-by-step explanation:
A :)
step by step explanation:
Is the slope
A) Positive
B) Negative
C) Zero
Answers
Answer:
C) Zero
Step-by-step explanation:
We know this is correct because the line is not moving up or down :)
There are about 1.61 kilometers in 1 mile. Let x represent a distance measured in kilometers and y represent the same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distance measured in miles..
Answers
Answer:
1.61y=x
Step-by-step explanation:
A number 5 is quadrupled and then decreased by f
Answers
Answer:
20-f
Step-by-step explanation:
Answer:
I believe it is 5^4 -f
Step-by-step explanation:
Anika had 810 songs on her phone and then she discovered Broadway. This led to 130% increase in the number of songs she had on her phone. How many songs does she have on her phone now
Answers
Answer:
243
Step-by-step explanation:
that's I did was find what 130% of 810 was and I found it was 1053 so then I subtracted it by 810 to find 243
sorry if I'm wrong