Your answer will be (x-4y)(x+3y)
To factor the polynomial x^2-xy-12y^2, we rewrite the polynomial, recognize the common numbers that add to -1 and multiply to -12, factor by grouping, and finally factor out the common binomial term to get the final answer: (x-4y)(x+3y).
Explanation:To factor the polynomial x^2-xy-12y^2, first you need to recognize that this is a quadratic equation in the form of ax^2+bx+c. Here, a=1, b=-1, and c=-12y^2. The next step involves factoring this quadratic equation. The standard method for factoring such an equation would be to find two numbers that add to b (the coefficient of x) and multiply to c (the coefficient of y^2).
In this case, we are looking for two numbers which add to -1 and multiply to -12. Those numbers are -4 and 3. Therefore, we can rewrite the middle term of the equation (xy) as (-4xy + 3xy). So the equation becomes x^2-4xy+3xy-12y^2.
Now, we can factor by grouping, which means factoring out common factors from each of the two groups: x(x-4y)+3y(x-4y). Finally, we can factor out the common binomial term to get the factored form of the polynomial: (x-4y)(x+3y).
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A car travels the 120 miles from A to B at 60 miles per hour, and then returns to A on the same road. If the average rate of the round trip is 45 miles per hour, what is the rate, in miles per hour, of the car traveling back from B to A?
Outbound Trip 120 miles 60 mph equals 2 hours
Return Trip 120 miles
Total Trip 240 miles at 45 mph average speed
Total time = distance / rate = 240 / 45 = 5.3333333333 Hours
The return trip of 120 miles takes (5.3333333333 Hours MINUS 2 hours)
Return Trip Speed = 120 / 3.333333333 = 36 miles per hour
The car's speed on its return trip from B to A was approximately 36mph, based on the given average round trip speed and the speed of the trip from A to B.
Explanation:The subject of this question is the calculation of an unknown speed during a return trip. Let's first calculate the total time of the round trip. The time taken to journey from A to B (we'll call this 'Time1') can be calculated by distance/speed, which equals 120 miles / 60mph, and that equals 2 hours.
The total round trip time (we'll call this 'Total Time') can be calculated by distance/speed, which equals 240 miles / 45mph, and that equals roughly 5.33 hours.
The time taken to return from B to A (we'll call this 'Time2') is the difference between 'Total Time' and 'Time1', which equals roughly 5.33 hours - 2 hours, equaling 3.33 hours.
The speed on the return trip ('Speed2') is the distance divided by Time2, so 120 miles / 3.33 hours equals approximately 36 miles per hour.
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An airline offers tickets on 3 routes from Atlanta: Chicago for $150, Boston for $160, and Dallas for $180, represented by the matrix 150 160 180 . We can find the cost of four of each of the tickets by multiplying this matrix by one of the matrices below. Find it.
Final answer:
To find the cost of four tickets for each route, multiply the price matrix [150 160 180] by the matrix [4], giving [600 640 720] as the cost matrix for four tickets to Chicago, Boston, and Dallas respectively.
Explanation:
To find the cost of four tickets for each of the three routes from Atlanta (Chicago, Boston, and Dallas), we need to multiply the given matrix representing the prices of each route by a matrix that contains the number of tickets for each route. The cost matrix for one ticket is [150 160 180]. To calculate the cost for four tickets, we can multiply this matrix by a column matrix that has the value 4 for each route since we want to buy four tickets for each destination.
The column matrix will thus be [4] since we only have one column (for the number of tickets) and three rows (one for each destination). The multiplication process is straightforward:
[150 160 180] x [4] = [600 640 720]
So, the matrix representing the cost of four tickets to each destination is: [600 640 720].
Can someone please help me with question 7?
The goal is to raise AT LEAST $180, so this automatically indicates that the amount of keychains sold with the price must be the same or more than $180.
k = number of keychains
each keychain is $2.25
2.25k ≥ 180
divide both sides by 2.25 to get the k alone
k ≥ 80
The answer is 2.25k ≥ 180, k ≥ 80
(Hope this isn't confusing)
In a recent year, the number of homes with digital cameras grew 0.44 from the previous year. Write 0.44 as a percent.
Answer:
The answer is 44%
Step-by-step explanation:
how to do multiplication of fractions -6 and 3 on a number line
-6 *3=-18 .
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Ryo accidentally ordered 240% percent as many eggs as his restaurant needs. What fraction of the number of eggs his restaurant needs did Ryo order?
Answer:
Ryo ordered [tex]\frac{12}{5}[/tex] of the number of eggs his restaurant needs.
Step-by-step explanation:
Suppose, the number of eggs his restaurant needs is [tex]x[/tex]
Ryo ordered 240% as many eggs as his restaurant needs. So, the number of eggs he ordered [tex]= x\times 240\% = x\times \frac{240}{100}= 2.4x[/tex]
For finding the fraction of the number of eggs his restaurant needs, we just need to divide "number of eggs ordered" by the "number of eggs needed".
So, the fraction will be: [tex]\frac{2.4x}{x}= 2.4 = \frac{24}{10}= \frac{12}{5}[/tex]
That means, Ryo ordered [tex]\frac{12}{5}[/tex] of the number of eggs his restaurant needs.
Ryo ordered 12/5 of the number of eggs his restaurant needs.
Given that Ryo accidentally ordered 240% percent as many eggs as his restaurant needs, to determine what fraction of the number of eggs his restaurant needs did Ryo order, the following calculation must be performed:
240/100 = X 10/24 = X 12/5 = X
Therefore, Ryo ordered 12/5 of the number of eggs his restaurant needs.
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Which basic geometric term is often represented by a sheet of paper?
A. Plane
B. Line
C. Point
D. Ray
I believe the answer is A. Plane
The answer is Plane or A
r varies directly as s. Find r when a=2 and k=13.
varies directly formula: [tex]\frac{r}{s} = k[/tex]
[tex]\frac{r}{2} = 13[/tex]
[tex](2)\frac{r}{2} = (2)13[/tex]
r = 26
What is the vertex of the parabola given by y = -(x − 2)2 − 1? A. (2, 1) B. (2, -1) C. (-2, 1) D. (-1, 2)
The correct answer is (2,−1)
Tickets for the basketball game cost $14 each. If the sale of the tickets brought in $2212, how many. Tickets were sold?
Answer:
158 tickets would be sold.
Step-by-step explanation:
Since,
[tex]\text{Number of tickets}=\frac{\text{Total cost of tickets}}{\text{Cost of each ticket}}[/tex]
We have,
Total cost of tickets = $ 2212,
Cost each ticket = $ 14,
Hence,
[tex]\text{Number of tickets that are sold}=\frac{2212}{14}=158[/tex]
Twenty nine is thirteen added to four times a number.What is the number
An elevator can safely lift at most 4400 lbs. A concrete block has an average weight of 41 lbs. What is the maximum number of concrete blocks that the elevator can lift?
Final answer:
The maximum number of concrete blocks that the elevator can lift is 107.
Explanation:
To find the maximum number of concrete blocks that the elevator can lift, we need to divide the maximum weight the elevator can lift by the weight of each concrete block.
Maximum weight the elevator can lift = 4400 lbs
Weight of each concrete block = 41 lbs
Now, we can use the division operation to find the maximum number of concrete blocks:
Maximum number of concrete blocks = 4400 lbs ÷ 41 lbs ≈ 107.317
Since we cannot have a fraction of a concrete block, we can conclude that the maximum number of concrete blocks that the elevator can lift is 107.
Find the x and y-intercepts
1/2x + 4y = 24
x-intercept (48,0)
y intercept(0,6)
Which statements about the extrema of the graphed function is true. Select all that apply.
From the graph attached, Options (1) and (3) represent the correct points (local minimum and global maximum).
If there are multiple peaks and troughs in the graph of a function, highest peak will be the global maximum and lowest point will be the global minimum.
From the graph attached,
(4, 4) is the highest but the lowest point is in the infinity.
Therefore, (4, 4) will be the global maximum and no global minimum.
Other point in the trough (-2, -2) will be local minimum and the points on peaks (0, 2) and (-4, 3) will be local maximum.
Therefore, Options (1) and (3) will be the correct options.
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The true statements about the extrema of the graphed function are: Options (1) and (3).
What is the statementsThe highest point on the graph is at (4, 4), and this will be considered the highest point overall, which we call the "global maximum."
As the graph appears to continue downward indefinitely. In such cases, we say there is no "global minimum" because there isn't a single lowest point that stands out.
There are also some points within the peaks and troughs of the graph:
(4, 4) is the highest point, making it the "global maximum."(-2, -2) is a point in a trough, making it a "local minimum."(0, 2) and (-4, 3) are points on the peaks, making them "local maxima."Learn more about graphed function from
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evaluate the expression 4x^2-2 when x=3
Hey there!!
Given equation :
4x² - 2
And x is given by 3
Now substitute the value of 3 in the equation :
... 4×(3)² - 2
... 4×3×3 - 2
... 12×3 - 2
... 36 - 2
Hence, the answer is 34.
Hope my answer helps!
The required expression is 34 when evaluating the given expression for x = 3.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The expression is given in the question following as:
4x² - 2
We have to evaluate the expression given 4x² - 2 when x = 3
As per the question, we have
⇒ 4x² - 2
We can substitute the value of x = 3 into the expression to get:
⇒ 4(3)² - 2
⇒ 4(9) - 2
⇒ 36 - 2
Apply the subtraction operation, and we get
⇒ 34
Therefore, the result of the expression when x = 3 is 34.
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Addition and Multiplication are inverse operations.
True
or
False?
1. Which of the following statements could be true when a transversal crosses parallel lines?
SELECT ALL THAT APPLY!!!
Several congruent angles are formed.
Vertical angles are formed.
Complementary angles are formed.
Supplementary angles are formed.
Obtuse angles are formed.
The pictures are their own seperate questions.
Final answer:
In a situation where a transversal crosses parallel lines, several congruent angles and vertical angles can form, and supplementary angles are also a possibility. Complementary angles are formed only under specific conditions. The formation of obtuse angles depends on the transversal's orientation relative to the parallel lines.
Explanation:
When a transversal crosses parallel lines, several outcomes are possible, and we can determine which statements could be true. Let's go through the options provided:
Several congruent angles are formed: Yes, this can happen. The alternate interior angles and corresponding angles are examples of congruent angles formed by a transversal intersecting parallel lines.Vertical angles are formed: Yes, whenever lines intersect, vertical angles are formed, and they are congruent.Complementary angles are formed: This is not necessarily true when a transversal crosses parallel lines, unless specific angles are considered that sum to 90 degrees.Supplementary angles are formed: Yes, when a transversal crosses parallel lines, consecutive interior angles on the same side of the transversal are supplementary, meaning they add up to 180 degrees.Obtuse angles are formed: This could be true, depending on the orientation of the transversal and the parallel lines. In the case of a transversal crossing parallel lines, obtuse angles can be formed alongside acute angles if the transversal is not perpendicular to the lines.Write an equation and solve. Round to the nearest hundredth where necessary. 64 is 80% of what?
Set up a proportion like 64/x = 80/100 and solve for x. x=80
Final answer:
Explaining how to write and solve the equation to find 80% of 64.
Explanation:
Write the equation: 64 = 0.80x, where x represents the unknown value.
Solve for x: Divide both sides by 0.80 to isolate x. x = 64 / 0.80 = 80, so 64 is 80% of 80.
Answer: 64 is 80% of 80.
t=e^2/9 solve for e, what would this be thank you.
Answer:
e=±3√T
Step-by-step explanation:
i am confused on this question because i keep getting different answers please help.
6 ÷ 2(1 + 2)
This is a pemdas problem. The basic rule of pemdas is:
ParenthesesExponentsMultiplicationDivisionAdditionSubtractingMultiplication/division and addition/subtraction are in no particular order; they are solved from left to right.
Since you solve inside the parentheses first, you would first add 1 and 2 together and then rewrite the problem.
6 ÷ 2(3)
Now you have 6 divided by 2 multiplied by 3. Pemdas shows that division and multiplication are solved in no particular order, so that means that you will solve this expression from left to right.
Start by dividing 6 and 2, then rewrite the problem.
3(3) is what you are left with.
Multiply 3 and 3 together and you will be left with your final answer of:
[tex]\boxed {9}[/tex]Hello!
Answer: ⇒⇒⇒⇒ =9
Step-by-step explanation:
This question it should be pemdas.
Hint:
↓
P-parenthesis
E-exponents
M-multiply
D-divide
A-add
S-subtract
First you had to calculate with parenthesis.
[tex](1+2)=3[/tex]
[tex]=6\div \:2*3[/tex]
Then you multiply and divide from ("left to right").
[tex]6\div \:2=3[/tex]
[tex]3*3=9[/tex]
Hope this helps!
Thank you for posting your question at here on brainly.
Have a great day!
-Charlie
Samantha has 23 strawberries and wants to put 4 strawberries into each bowl. How many bowls can Samantha put exactly 4 strawberries into? A. 3 B. 4 C. 5 D. 6
4 cannot go into 23 equally BUT! if you do 23 divided by 4 you'll get 5.75 which rounds up to 6. So on average she'll need 6 bowls for her 23 strawberries.
Edit: It should be 5 bowls because if she wants to put an equal amount of strawberries into her bowls it should be 5.
Hope it helped. :)
~Noodles~
this is a side view of a roller coaster. (see attached image.)
-what is the slope between point c and point d?
-what is the equation of the line that represents the climb from point c to point d? using mx+b.
-what is the domain and range for the roller coaster?
Let every line = 1 unit:
Point C is located at (0,0)
Point D is located at (7, 12)
The slope is the change in Y over the change in X:
Slope = 12-0 / 7-0 = 12/7
The equation of the line from C to D using mx +b:
m = slope, which we already calculated as 12/7
To solve for b, replace m with 12/7 to get
y=12/7x +b
replace x with 0 ( from point C )
y = 12/7(0) +b
Replace y with 0 (also from point C)
0 = 12/7(0)+b
Solve for b:
b = 0
The equation becomes y= 12/7x
The Domain is the X values, which range from A to E, -12 to 13
Which is written as (-12,13) or -12≤x≤13
The range is the Y values, which range from A to D, 0 , 12
Which is written as (0,12) or 0≤y≤12
Given: ΔWXY is isosceles with legs WX and WY; ΔWVZ is isosceles with legs WV and WZ. Prove: ΔWXY ~ ΔWVZ
Triangles ΔWXY and ΔWVZ are similar because they are both isosceles with two pairs of congruent angles and a shared vertex angle, which satisfies the AA similarity criterion.
Explanation:To prove that triangles ΔWXY and ΔWVZ are similar, we need to establish that they have the same angle measures and their sides are proportional. Since we know ΔWXY and ΔWVZ are both isosceles triangles, they have two angles of equal measure. Specifically, the base angles of an isosceles triangle are congruent, therefore in ΔWXY, angles WYX and WXV are equal, and in ΔWVZ, angles WZV and WVZ are equal.
We also know that these triangles share the vertex angle at W, which means ΔWXY and ΔWVZ both have the angle W in common. This establishes that all corresponding angles between ΔWXY and ΔWVZ are congruent. Since both triangles are isosceles and have two pairs of congruent angles (base angles) and a common vertex angle, they are similar by the AA (Angle-Angle) similarity criterion. The ratio of the sides opposite the equal angles in isosceles triangles should be constant, thereby confirming the similarity.
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Jessie wrote down a 3 digit natural number she said her number consists of three consecutive digits in descending order from left to right with the sum of its digits equal to 24 what number did Jessie write down
Answer:
The three digit natural number is 789.
Step-by-step explanation:
Let the fist digit be x
The second digit will be x + 1
The third digit will be x + 2
So x + x + 1 + x + 2 = 24
3x = 24 - 3
3x = 21
x = 7
The first digit is 7, the second digit is 8 and the third digit is 9
The three digit natural number is 789.
Brianna work as a costumer service representative. She knows that the amounts of her yearly bonus is $155 but $2.50 is taken away for each customer complaint about her during the year . What is her bonus if there are 12 complaints about her in the year?
Answer:
Bonus of Brianna = 125 $
Explanation:
Amount of Brianna's yearly bonus = 155$
Amount taken away for each customer care complaint = 2.50$
Number of complaints received against Brianna in the year = 12
Total amount lost by Brianna due to complaint = 12*2.50 = 30$
Amount of bonus received by Brianna after reduction of complaint loss = 155-30 = 125$
Bonus of Brianna = 125 $
Answer: 125 dollars
Step-by-step explanation:
solve quickly for brainliest
4x+y=10
( ,-6)
Answer:
(4, -6)
Step-by-step explanation:
4x + y = 10
4x + (-6) = 10
4x - 6 = 10
4x = 16
x = 4
What is 765,903 rounded to the nearest ten thousand
3 has a value of 'ones'
0 has a value of 'tens'
9 has a value of 'hundreds'
5 has a value of 'thousands'
6 has a value of 'ten thousands'
Rounding up 6, its greater than 5 so add 1 to 7 and make all the other figures zero to give:
Answer = 800,000
Answer:
765,903 rounded to the nearest 10,000 is 770,000.
Step-by-step explanation:
If it were rounded to the nearest thousand it would be 766,000, but 6 is not rounded, so it has to be rounded up to the next 10,000.
If Nancy needs 3/1/4 cups of oatmeal,how many 1/4 cups of oatmeal will she use
BEST ANSWER GET TO BE BRAINLYEST+85 pts
Estimate the perimeter of the figure. The length of one side of each square represents 1 yd.
about 10 yd
about 20 yd
about 25 yd
about 15 yd
Answer:
it is about 15 yd
Step-by-step explanation:
add the squares. about 15 squares. Just got this correct
How you can find the common factors and the greatest common factor of two numbers
One way is to create a factor tree for each number. Then see which factors they have in common.
Example:
12 30
^ ^
2 6 3 10
^ ^
2 3 2 5
The factors are the underlined numbers above:
12: 2 x 2 x 3
30: 2 x 3 x 5
The common factors are: 2, 3, and 6 why 6? because 2 x 3 = 6
The greatest common factor is: 6
To find the common factors and the greatest common factor (GCF) of numbers, list all factors of each number, find the common ones, and identify the largest as the GCF. The factor-label method can simplify locating the GCF.
Explanation:To find the common factors and the greatest common factor (GCF) of two numbers, you start by listing all the factors of each number. These are whole numbers that can divide the numbers without a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, and the factors of 18 are 1, 2, 3, 6, 9, and 18.
Common factors are factors that the two numbers share. In our example, the common factors of 12 and 18 are 1, 2, 3, and 6.
The greatest common factor (GCF) is the largest of these common factors. This helps in multiplication and division of numbers, particularly when simplifying fractions. Here, the GCF of 12 and 18 is 6.
To find the GCF more quickly, you can use the factor-label method. Divide both numbers by a common factor and continue this process with the resulting numbers until you can't find any common factors other than 1. The GCF is the product of all the common factors you used to divide.
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