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combine all the like terms
8x^2 + x^2 = 9x^2
-9y^2 - 3y^2 = -12y^2
-4x-7x = -11x
so you have 9x^2 -12y^2-11x
Answer id the last one
Related Questions
Y=(2x-3)^5(2-x^4)^3 differentiate the function please
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Must a function that is decreasing over a given interval always be negative over that same interval ? Explain
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Answer:
For a function to be decreasing over an interval, the outputs on the function are getting smaller as the inputs of the function are getting larger, but the outputs could be positive or negative. For a function to be negative over an interval, the outputs must be negative, while the inputs could be positive or negative.
A train moving at a constant speed of 70.0 km/h moves east for 45.0 min, then in a direction 55.0° east of due north for 25.0 min, and then west for 55.0 min. what is the average velocity of the train during this run? (let the +x-axis point towards the east and the +y-axis point towards the north.)
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The result will be your average velocity (a vector quantity).
Find the linear equation of the plane through the point (2,4,9) and parallel to the plane x+4 y+5 z+4 =0.
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Which equation shows how (-10, 8) can be used to write the equation of this line in point-slope form?
Dennis wrote down a three digit number, The digit in the tens place is 2 more than the digit in the hundreds place. The digit in the ones place is 6less than the digit in the tens place. The digit in the hundreds place is odd number. What is the three digit number?
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Number 49....I need help
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now, also let's keep in mind that, when the car was driven for 200 miles, that's 200/25 or 8 25mile intervals, so the 25mile charge kicked in 8 times.
[tex]\bf \stackrel{cost}{y}=\stackrel{fixed~charge}{F}+\stackrel{25mile~intervals}{m}\quad \stackrel{25mile~charge}{x}\implies y=F+mx\\\\ -------------------------------\\\\ \begin{cases} 200=F+2x\implies 200-2x=\boxed{F}\\ 245=F+8x\\ ----------\\ 245=\boxed{200-2x}+8x \end{cases} \\\\\\ 45=6x\implies \cfrac{45}{6}=x\implies \cfrac{15}{2}=x\impliedby \begin{array}{llll} \textit{so the 25mile charge is}\\ \textit{7 bucks and 50cents} \end{array} \\\\\\ [/tex]
[tex]\bf 200=F+2\left( \frac{15}{2} \right)\implies 200=F+15\implies 185=F \\\\\\ \textit{and the \underline{fixed charge} is 185 bucks then, let's check for 450} \\\\\\ \boxed{y=185+\frac{15}{2}x}\qquad \begin{cases} 450~miles\\\\ \cfrac{450}{25}\implies 18~\textit{\underline{25mile intervals}}\\\\ x=18 \end{cases} \\\\\\ y=185+\cfrac{15}{2}\cdot 18\implies y=185+135\implies y=320[/tex]
To paint a sunset, you make a shade of orange paint using 55 drops of red paint for every 88 drops of yellow paint. If you use 1515 drops of red paint, how many drops of yellow paint would you need?]
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Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = pi over 2 ?
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The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
It is where cos(4x-π) = 0
cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2
4x - π = π/2
4x = π/2 + π
4x = 3π/2
x = 3π/8
4x - π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This ones outside the interval (5π/8 > π/2) , try -π/2
4x - π = -π/2
4x = -π/2 + π
4x = π/2
x = π/8
Asymptotes are π/8 and 3π/8
Answer:
D 3pi/8 , 5pi/8
Step-by-step explanation:
Where are the negative rational numbers placed on a vertical number line
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What is 2/3 times 3/4
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1/2 is your answer
hope this helps
[tex] \frac{2}{3} [/tex] × [tex] \frac{3}{4} [/tex]
First, you would cross simplify the equation... But, you don't have to do it now, you can do it at the end (I think this was is easiest).
[tex] \frac{1}{1} [/tex] × [tex] \frac{1}{2} [/tex]
Finally, you would answer the equation.
[tex] \frac{1}{1} [/tex] × [tex] \frac{1}{2} [/tex] = [tex] \frac{1}{2} [/tex]
Your answer would be [tex] \frac{1}{2} [/tex].
I hope this helps!
I Need to identify the property that justifies each step to simplify the expression
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1) equality of addition , subtraction , multiplication, and division
solve the equationX=15/x+1/4
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Answer:
x = -3.75 or 4
Step-by-step explanation:
Multiply by 4x and solve the resulting quadratic in any of the usual ways.
... 4x² = 60 +x
... 4x² -x -60 = 0 . . . . . . . . . . . subtract 60+x
... (x -4)(4x +15) = 0 . . . . . . . . .factor the equation
... x = 4 . . . or . . . -15/4 . . . . . . the values that make the factors zero
_____
Comment on the graph
It is convenient to use a graphing calculator to find the zeros of a function, so it works well to rewrite the equation to be something that is equal to zero. Here, we've subtracted the right side, so we have ...
... f(x) = x - (15/x +1/4) = 0
Two pools are being filled with water. To start, the first pool contains 890 liters of water and the second pool is empty. Water is being added to the first pool at a rate of 20.5 liters per minute. Water is being added to the second pool at a rate of 42.75 liters per minute.
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First pipe empties at the rate of 540,000/150=3600 liters/min
Second pipe empties at the rate of 540,000/225=2400 liters/min
Together, both pipes empties at the rate of 3600+2400=6000 liters/min, so our equation to solve is:
6000*x=540000
What age was the mean of all the guesses (rounded to the nearest whole number)? 57 59 63 68 74?
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To get this, you just have to add all the numbers up, and then divide your answer by the amount of numbers you added (just for future reference in problems like these!). To round to the nearest whole number, you look at the decimal: .2. It's closer to 0 than it is to 10, so the 64.2 would round down to 64.
I hope this helps!
Divide.
-5 1/3 ÷ 2 3/4
A. -12 5/6
B. -7 5/12
C. -1 31/33
D. -1 11/12
Please answer fast!!!!!!
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a 3 pound pork loin can be cut into 10 pork chops of equal weight. how many ounces are in each pork chop? please show your work
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3 Pound Pork Loin-48 Ounces
48÷10=4.8
Answer= Each Pork chop weighs 4.8 ounces
43 ones x 3 tens= Tens
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Place value is the value of each digit in a number.
The value of 43 ones x 3 tens is 129 tens
43 ones x 3 tens = 129 tens.
What is a place value?
Place value is the value of each digit in a number.
Example: 2345.67
2 – thousands place value
3 – hundreds place value
4 – tens place value
5 – ones place value
6 – tenths place value
7 – hundredths place value
We have,
43 ones x 3 tens
43 ones can be written as 43
3 tens can be written as 30
So,
43 ones x 3 tens = 43 x 30
43 x 30 = 1290
This means,
1290 = 129 tens
43 ones x 3 tens = 129 tens
Thus,
The value of 43 ones x 3 tens is 129 tens
Learn more about place value here:
https://brainly.com/question/27734142
#SPJ2
long division 573÷15=
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15 goes int 57 3 times: 45
57-45=12, bring down the 3
15 goes into 123 8 times
123-120=3
573/15= 38 with a remainder of 3
38R3 is the answer
What are the coordinates of the vertices of the triangle under the translation (x, y) mc011-2.jpg (x + 1, y - 4)?
(0, -3), (0, 0), (3, -3)
(-3, 0), (3, -3), (0, -3)
(0, -3), (-3, -3), (-3, 0)
(-3, 0), (0, 0), (-3, -3)
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(-1,1) (-4,1) (-4, 4)
translation (x, y) to (x + 1, y - 4)
(0,-3) (-3,-3) (-3, 0)
answer
(0, -3), (-3, -3), (-3, 0)
it is c :
(0,-3), (-3,-3), (-3,0)
just take the X and Y of the coordinates of the original triangle and substitute it in the given equation (x + 1, y - 4)
try it out yourself it works :)
The problem is
2n>14
n=?
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n>14/2
n>7
=n>7
so, n can be any number which is greater than 7.
How many choices if 2 of the friends will only attend together?
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is 30 x 10 to the 3rd power equal 30000
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Yes,[tex]\(30 \times 10^3\)[/tex] is equal to 30,000.
When we have a number written in scientific notation, such as [tex]\(10^3\),[/tex] it means we are multiplying the base (which is 10 in this case) by itself a certain number of times, indicated by the exponent (which is 3 in this case).
So, [tex]\(10^3\)[/tex] means [tex]\(10 \times 10 \times 10\)[/tex], which equals 1,000.
Therefore, when we multiply 30 by [tex]\(10^3\)[/tex], it's equivalent to multiplying 30 by 1,000, which results in 30,000.
A total of 14000 votes were cast to two opposing candidates. Adam and Karl.Adam won by ratio of 4:3 how many votes were cast to karl?
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The number of votes cast to Karl is
[tex]6000[/tex]
EXPLANATION
The total votes cast is
[tex]14000[/tex]
We were given that Adam and Karl won by ratio of
[tex]4:3[/tex]
This means the number of votes cast to Adam corresponds to 4, while that of Karl corresponds to 3.
The total ratio is
[tex] = 4 + 3 = 7[/tex]
Number of votes cast to Karl is
[tex] = \frac{Karl's\:ratio}{Total\:ratio} \times Total\:votes \:cast[/tex]
[tex] = \frac{3}{7} \times 14000[/tex]
This simplifies to,
[tex] = 3 \times 2000[/tex]
[tex] = 6000[/tex]
Therefore 6000 votes were cast in favour of Karl.
Write an equation in point-slope form of the line through point p(9, -1) with slope -5.
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Walter takes 7/10 of an hour to mow 2/5 of an acre of lawn. At this rate, how many acres will he mow in an hour?
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Answer:
4/7 acres per hour
Step-by-step explanation:
kim and brittany are selling chocolate chip cookies and red velvet cupcakes. kim made $81 selling 18 chocolate chip cookies and 12 red velvet cupcakes .brittany made $77 by selling 2 chocolate chip cupcakes and 24 red velvet cupcakes . what was the price of each type of cupcake ?
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round 7300 correct to one significant figure.
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Any zero that isnt trapped between two non-zero numbers (on the left side of the decimal) is insignificant, therefore the 3 rounds down. hope this helped!
Significant figure means you should have x amounts of numbers that aren't zero.
In this case you are required to have one number that isn't a zero.
Therefore you round down to give you 7000 as your final answer.
To get a better idea follow through the rest:
E.g Round 64, 492 to two significant figures.
This means you'd have two numbers that aren't a zero.
So you're final answer would have been 64000.
Hope This Helps You!
Good Luck :)
- Hannah ❤
What is the greatest perfect square that is a factor of 396? Explain
Answers
Factors of 396 are: 1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Now we check which is the greatest perfect square in these.
396, 198, 132, 99, 66,44 are not perfect square,
so 36 is the largest perfect square from the factors of 396, 6 x 6 = 6² = 36
Danny “Dimes” Donahue is a neighborhood’s 9-year old entrepreneur. His most recent venture is selling homemade brownies that he bakes himself. At a price of $1.75 each, he sells 100. At a price of $1.25 each, he sells 300.
Answers
a. The elasticity of demand is 0.0225.
b. Demand is inelastic over this price range.
c. Total revenue would increase due to the more elastic demand resulting in a greater quantity demanded with a price decrease.
Let's first calculate the price elasticity of demand using the midpoint method:
a. Price elasticity of demand formula:
[tex]\[ E_d = \frac{\text{Percentage change in quantity demanded}}{\text{Percentage change in price}} \times \frac{\text{Average price}}{\text{Average quantity}} \][/tex]
Percentage change in quantity demanded:
[tex]\[ \text{Percentage change in quantity demanded} = \frac{300 - 100}{\frac{300 + 100}{2}} \times 100\% = \frac{200}{200} \times 100\% = 100\% \][/tex]
Percentage change in price:
[tex]\[ \text{Percentage change in price} = \frac{1.25 - 1.75}{\frac{1.25 + 1.75}{2}} \times 100\% = \frac{-0.5}{1.5} \times 100\% = -33.33\% \][/tex]
Average price and average quantity:
[tex]\[ \text{Average price} = \frac{1.25 + 1.75}{2} = \frac{3}{2} = 1.50 \]\[ \text{Average quantity} = \frac{300 + 100}{2} = \frac{400}{2} = 200 \][/tex]
Now, we can plug these values into the elasticity formula:
[tex]\[ E_d = \frac{100\%}{-33.33\%} \times \frac{1.50}{200} \]\[ E_d = -3 \times 0.0075 \]\[ E_d = -0.0225 \][/tex]
a. The elasticity of demand is 0.0225.
b. Since the elasticity of demand is less than 1, demand is inelastic over this price range.
c. If demand had the same elasticity for a price decline from $1.25 to $0.75 as it does for the decline from $1.75 to $1.25, cutting the price from $1.25 to $0.75 would increase Danny's total revenue because the demand would be more elastic, resulting in a greater increase in quantity demanded compared to the decrease in price.
Complete Question:
Danny “Dimes” Donahue is a neighborhood’s 9-year old entrepreneur. His most recent venture is selling homemade brownies that he bakes himself. At a price of $1.75 each, he sells 100. At a price of $1.25 each, he sells 300.
Instructions: Use the midpoint method and round your answer to 2 decimal places. Do not include a minus sign.
a. What is the elasticity of demand?
b. Is demand elastic or inelastic over this price range?
c. If demand had the same elasticity for a price decline from $ 1.25 to $ 0.75 as it does for the decline from $ 1.75 to $ 1.25, would cutting the price from $ 1.25 to $ 0.75 increase or decrease Danny's total revenue?
When twotwo basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. what is the probability that they shoot free throws in alphabetical order? assume each player has a different name?
Answers
Since, the are going to throw alphabetically, there is 1 way for the names to be arranged alphabetically.
Therefore, the probability that they shoot free throws in alphabetical order is [tex] \frac{1}{2} = 0.5[/tex]
Final answer:
The probability of shooting free throws in alphabetical order is 0.5.
Explanation:
Probability of shooting free throws in alphabetical order:
Determine the total number of ways the players can shoot. There are 2 players, so 2! (2 factorial) = 2 ways.
Calculate the number of ways they can shoot in alphabetical order. As they have different names, only 1 way exists.
Probability = (Number of ways shooting in alphabetical order) / (Total number of ways to shoot) = 1/2 = 0.5.