Final answer:
The grouping method of factoring trinomials involves separating the first and last terms of the trinomial into respective factors, and then factoring by grouping.
Explanation:
The correct answer is A. The grouping method of factoring trinomials involves separating the first and last terms of the trinomial into respective factors, and then factoring by grouping. In this method, we find two pairs of terms with common factors and group them together. Then, we factor out the greatest common factor from each pair. Finally, we factor out a common factor from the resulting binomials. Let's consider an example:
Example:
Factor the trinomial: x^2 + 5x + 6
Step 1: Separate the first and last terms: x^2 + 5x + 6 = (x^2 + 2x) + (3x + 6)
Step 2: Factor out the greatest common factor from each pair: x(x + 2) + 3(x + 2)
Step 3: Factor out a common factor from the resulting binomials: (x + 2)(x + 3)
Therefore, the factored form of the trinomial x^2 + 5x + 6 is (x + 2)(x + 3).
PLEASE NEED HELP DUE TONIGHT!!!!!
Angronius of Nuceria has a height of 105 inches. The mean height for all World Eaters Legion soldiers is 96.5 inches and the standard deviation of the World Eaters Legion soldiers heights is 3.6 inches.
What is the z score for Angronius's height? Round to the nearest hundredth.
Must show work to receive full credit!
What is the meaning of the Z-Score you found in Problem 1? Explain how Angronius compares to the normal World Eaters soldier.
Answer:
Z-score=2.361
Hence Angronius height about 2.3 S.D above the Eaters Legion soldiers
Step-by-step explanation:
Given:
Angronius's mean =105 inches
Eaters Legion soldiers mean =96.5 inches.
S.D for Eaters Legion soldiers =3.6
To Find:
What is the z score for Angronius's height
Solution:
Here z-score indicate the value of data above or below the given value hence ,it determines the given data lies how many S.D above the mean or below the mean
Z- score tell that How many S.D your data is away from mean.
So
Z-score for Angronius =105-96.5/3.6
=8.5/3.6
=2.366
Hence it tells that Angronius height about 2.3 S.D above the Eaters Legion soldiers
i.e 2.36*3.6= 8.5 above the Eaters Legion soldiers height
i.e 105 -96.5 =8.5
This value represents how many S.D did angronius are above the height of Eaters Legion Soldiers.
The z-score for Angronius's height is 2.36, indicating that he is significantly taller than the average World Eaters Legion soldier, standing 2.36 standard deviations above the mean height.
To calculate the z-score for Angronius's height, we use the formula: [tex]z = (X - [\mu]) / [\sigma][/tex], where X is Angronius's height, [tex][\mu][/tex] is the mean height of the World Eaters Legion soldiers, and [tex][\sigma][/tex] is the standard deviation of their heights.
Using the provided values, we have:
z = (105 - 96.5) / 3.6 = 2.36.
Therefore, the z-score for Angronius's height is 2.36 when rounded to the nearest hundredth. This means that Angronius is 2.36 standard deviations above the mean height of all World Eaters Legion soldiers. In terms of height, Angronius is significantly taller than the average World Eaters soldier.
A baker is putting cupcakes on a tray to cool she puts 3 cupcakes on the first tray 12 cupcakes on the second tray 48 cupcakes on the third tray and 192 cupcakes on the fourth tray what kind of sequence is this
Final answer:
The sequence shown in this question is an arithmetic sequence with a common difference of 4.
Explanation:
The sequence shown in this question is an example of an arithmetic sequence. An arithmetic sequence is a sequence in which the difference between consecutive terms is always the same. In this case, the difference between each term is 3.
To find the common difference in this sequence, we can divide any term by the previous term. For example, dividing 12 by 3 gives us a quotient of 4, which means the common difference is 4.
Therefore, the sequence is an arithmetic sequence with a common difference of 4.
23 PTS!! Please Help!!!
Which point represents the ordered pair (Negative 2 and one-fourth, two-thirds)? On a coordinate plane, point S is at (negative 2 and one-fourth, two-thirds), point Q is at (negative 2 and one-fourth, 1 and one-third), point R is at (negative 1 and two-thirds, 1 and one-third), and point T is at (negative 1 and two-thirds, two-thirds).
A. point Q
B. point R
C. point S
D. point T
Answer:
(C)Point S
Step-by-step explanation:
Given the ordered pair of the following points on a coordinate plane:
[tex]S(-2\dfrac{1}{4},\dfrac{2}{3})\\\\Q(-2\dfrac{1}{4},1\dfrac{1}{3})\\\\R(-1\dfrac{2}{3},1\dfrac{1}{3})\\\\T(-1\dfrac{2}{3},\dfrac{2}{3})[/tex]
The point which represents the ordered pair [tex](-2\dfrac{1}{4},\dfrac{2}{3})[/tex] is point S.
Answer:
the answer is C
Step-by-step explanation:
In a poll of Mr. Briggs's math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school.
A. Explain why this is not a valid conclusion
B. Suggest a better method of determining what subject is most popular
Answer:
1) biased sample
2) random sampling
Step-by-step explanation:
Since the results are based on feedback of students in only one class, it's not a good representative of the entire student body.
Also, since it's a math class there will be a bias.
Better method would be randomly selecting students from the entire school students list and take their feedback
Answer:
B
Step-by-step explanation:
A recipe for 48 biscuits uses 2/2/3 cups of biscuit mix. How many biscuits are made from each cup of biscuit mix?
To determine how many biscuits are made from each cup of biscuit mix, divide the total number of biscuits (48) by the total cups of biscuit mix (2 and 2/3) to get 18 biscuits per cup.
The student asked how many biscuits are made from each cup of biscuit mix if a recipe for 48 biscuits uses 2 and 2/3 cups of biscuit mix. To find this out, we need to calculate the number of biscuits per cup of mix.
We start by writing the known ratios that one recipe of 12 biscuits requires 2 cups of flour, and we then scale this to 48 biscuits using unit conversions based on the ratios.
First, we calculate the number of biscuits made per one cup:
Divide the total number of biscuits by the total cups of biscuit mix used.
48 biscuits \/ (2 + 2/3) cups = 48 biscuits \/ (8/3) cups.
Multiply the number of biscuits by the reciprocal of cups:
48 biscuits * (3/8) cups = 18 biscuits per cup.
Therefore, one cup of biscuit mix yields 18 biscuits.
Given DOG, find DG. Round your answer to the nearest hundredth.
Answer:
99.8
Step-by-step explanation:
Answer:
the answer is 8.62
Jake's test scores for the first term of chemistry class were 78, 68, 73, 94, and 62. Which of the measures of central tendency would make Jake's test scores seem as high as possible? *
Mean
Median
Mode
Range
Answer:
Mean
Step-by-step explanation:
For the mean, his score is a 75 (78+68+73+94+62/5)
For the median, his score is a 73 (in order: 62 68 73 78 94, the middle number is the median)
There is no mode because there are no repeating numbers
For the range, his score is a 32. (highest - lowest: 94-62)
This should be right, hope it helps. :)
Answer:
Mean is the highest average out of all = 75
Step-by-step explanation:
The "range" of a list a numbers is just the difference between the largest and smallest values.
Ans The range = 94-62 = 32
Find the mean, median, mode, and range for the following list of values:
62, 68, 73, 78, 94
The mean is the usual average, so you add and then divide:
(62, 68, 73, 78, 94 ) ÷ 5 = 75
Ans = mean of 75
The median is the middle value, so first I'll have to rewrite the list in numerical order:
62, 68, 73, 78, 94
Ans = median of 73
There are five numbers in the list, so the middle one will be the 3rd number.
The mode is the number that is repeated more often than any other, so 70 if data was in 10's would be the mode.
range: 32
mean: 75
median: 73
mode: 0
Solve for a:
12a - 8 = 11a + 3
Answer:
a=11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
12a-8 = 11a +3
First we need to get the variables on one side and the constants on the other side.
So subtract 11a from both sides.
12a-11a -8 = 3
1a -8 = 3 now add 8 to each side
1a = 3+8
1a = 11
Sandra’s mother said she can take a break for homework for 1/3 of an hour or for 15 minutes. Which should she choose?
Subtract 7x + 4y − 2z from 4x + 2y.
Final answer:
To subtract 7x + 4y - 2z from 4x + 2y, change the signs of the second polynomial and combine like terms, yielding a result of -3x - 2y + 2z.
Explanation:
To subtract the expression 7x + 4y − 2z from 4x + 2y, we perform subtraction of polynomials by changing the sign of each term in the expression being subtracted and then combining like terms.
Change the signs of each term in the second polynomial: −(7x) − (4y) + (2z).Add this result to the first polynomial: (4x + 2y) + (− 7x − 4y + 2z).Combine like terms: (4x − 7x) + (2y − 4y) + 2z.Simplify each group of like terms: − 3x − 2y + 2z.Therefore, the result of the subtraction is − 3x − 2y + 2z.
On which spinner do you have a better probability of landing on green?
Answer:
Spinner 2
Step-by-step explanation:
Spinner 2 because it takes a greater space on the circle graph
What is the first step in evaluating the expression 3 × (5 + 4) – 27 ÷ 9
Answer:distribute the 3x
Step-by-step explanation:distribute the 3x to the 5 and 4
Solve for the inequality -6× - 17> 8× + 25
Step-by-step explanation:
[tex] - 6x - 17 > 8x + 25 \\ - 6x - 8x > 17 + 25 \\ - 14x > 42 \\ \frac{ - 14x}{14} > \frac{42}{14} \\ - x > 3 \\ x < - 3[/tex]
Factor 10a3b - 5a2b2 - 15ab
Answer:
=-5ab
Step-by-step explanation:
Rewrite: -15 as 3*5
Rewrite: -5 *2*2 as 1*5
Rewrite: 10 *3 as 6*5
=6* 5ab +4 *5ab +3ab
Factor out common term 5ab
=5ab(6-4-3)
=-5ab
In which table is Y a linear function of X?
Pls help
Answer:
C
Step-by-step explanation:
When graphed the only one thats a straight line is C.
The sum of nine-tenths and g is two-thirds solve for g
Answer:
- 7/30
Step-by-step explanation:
9/10 + g = 2/3
So subtract 9/10 from both sides of the equation to get g = -7/30
Thank me later :D
To solve for g, the sum of nine-tenths and g is two-thirds. By multiplying every term by the least common denominator and simplifying, we find that g is equal to -7/30.
Explanation:To solve for g, we need to isolate g on one side of the equation. Given that the sum of nine-tenths and g is two-thirds, we can write it as an equation: 9/10 + g = 2/3. To eliminate the fraction, we can multiply every term by the least common denominator (LCD), which is 30. This gives us 27 + 30g = 20. Simplifying the equation gives us 30g = -7. Finally, we can solve for g by dividing both sides of the equation by 30, resulting in g = -7/30.
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When dividing 8,164 by 78.5, what is the place value of the last digit in the quotient?
Answer:
4
Step-by-step explanation:
8164/78.5
(8164×2)/((78.5×2)
= 16328/157
= 104
Answer:
ones
Step-by-step explanation:
this is the answer!!!
This is a triangle with exactly 2 congruent sides. I need it hurry
Answer:
isosceles triangle
Step-by-step explanation:
The probability of a hurricane being within 100 miles of a location in two days is 40%.
Answer: unlikely
Step-by-step explanation:
Eleven less than a number is more than seventeen. Write an inequality and solve
Answer:
n-11>17
Step-by-step explanation:
An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she orders ten Falafel wraps, twenty-five Turkey BLT sandwiches, and fifteen hot Ham and Swiss paninis for a total of $361.25. The next month, she orders fifteen Falafel wraps, thirteen Turkey BLT sandwiches, and twenty-two hot Ham and Swiss paninis for a total of $342.50. For the third month, she orders eight Falafel wraps, twenty-two Turkey BLT sandwiches, and twenty hot Ham and Swiss paninis for a total of $359. How much does each sandwich cost?
The solution to the system of equations will provide the cost of each sandwich type: Falafel wrap, Turkey BLT sandwich, and hot Ham and Swiss panini.
To determine the cost of each sandwich, we can set up a system of equations based on the given information.
Let's use the variables x, y, and z to represent the cost of one Falafel wrap, one Turkey BLT sandwich, and one hot Ham and Swiss panini, respectively.
From the first month's order, we can establish the equation:
10x + 25y + 15z = 361.25.
From the second month's order, we have the equation:
15x + 13y + 22z = 342.50.
And from the third month's order, we have:
8x + 22y + 20z = 359.
By solving this system of equations, we can find the values of x, y, and z, which represent the cost of each sandwich.
The solution to the system of equations will provide the cost of each sandwich type: Falafel wrap, Turkey BLT sandwich, and hot Ham and Swiss panini.
For more such answers in cost
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Angel is trying to decide which parking garage to use. Polite's parking charges a flat fee of $2 plus $4 per hour. Gray's garage charges a flat fee of $8 plus $2 per hour.
For how many hours with the cost of parking in either garage be the same, and what will the cost be?
[tex]\text{Turn the scenarios into equations:}\\\\\text{Polite's parking:}\\\\y=4x+2\\\\\text{Gary's garage:}\\\\y=2x+8\\\\\text{To find when the parking costs the same, solve the expressions together:}\\\\4x+2=2x+8\\\\\text{Solve for x:}\\\\4x+2=2x+8\\\\\text{Subtract 2x from both sides}\\\\2x+2=8\\\\\text{Subtract 2 from both sides}\\\\2x=6\\\\\text{Divide by 2}\\\\x=3\\\\\boxed{\text{In 3 hours, the cost will be the same}}\\\\[/tex]
[tex]\text{To find the cost, plug in 3 to x in one of the equations:}\\\\y=4(3)+2\\\\y=12+2\\\\y=14\\\\\boxed{\text{The cost would be \$14}}[/tex]
Help would be very much appreciated! Please HELP ME! Thanks
Answer:
∠ AXC = 170°
Step-by-step explanation:
Since XB bisects ∠ AXC then ∠ AXB and ∠ CXB are congruent, that is
∠ AXB = ∠ ∠ CXB = 85° and
∠ AXC = ∠ AXB + ∠ CXB = 85° + 85° = 170°
helpppp thank youuuu
Answer:
12
Step-by-step explanation:
The square root of 144 is 12 and the square root of y^2 is y so y=12
Answer:
12
Step-by-step explanation:
The square root of 144 is 12 c:
y = 12
The table shows input and output values for a cubic function. What is an approximate zero of the function?
Use the drop-down menus to complete the statements. A zero can be found between input values of blank because blank. One zero of the function is approximately blank.
The first blank or tab is -2 and -1, -1 and 0, 0 and 1, or 1 and 2
The second blank or tab is "the input values contain zeros", "the difference of these values is closest to zero" or "zero falls between the values f(x) for these inputs"
The third blank or tab is -0.9, -0.25, 0.25, or 0.9
What answers are they?
Answer:
Answer: first one is -1 and 0
Second one is: zero falls between the values of f(x) for these inputs
Third one is: -0.9
Step-by-step explanation:
A zero can be found between the input values of -1 and 0 because zero falls between the values f(x) for these inputs.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Cubic functions are functions of the form,
f(x) = ax³ + bx² + cx + d = 0
We have input values and output values for those input values for the cubic function.
A zero of the function is the value of the input when output value equals zero.
When x = -1, f(x) = -0.5
When x = 0, f(x) = 2.5
The value of f(x) = 0 between these input values.
One zero of the function is approximately -0.9, which is more approximate.
Hence the zero of the function lies between -1 and 0.
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evaluate the limit, or state that the limit does not exist. 9n - 3n / 2n
a.9
b. 3
c. limit does not exist
d. 0
Answer:
3
Step-by-step explanation:
Evaluating the limit of the function 9n - 3n / 2n.
First we factor out n from the numerator of the function to have
F(n) = n(9-3)/2n
Cancelling the variable n at the numerator with the one at the denominator we have:
Iim f(n) = 9-3/2
Iim f(n) = 6/2
Lim f(n) = 3
This shows that the limit of the function given is 3 no matter what the variable x is tending to.
Answer: Option b) 3
Step-by-step explanation:
We want to take the limit of the equation: (9n - 3n)/2n
Let's do it:
[tex]\lim_{n \to \infty} \frac{9n - 3n}{2n} = \lim_{n \to \infty} \frac{n(9-3)}{2n} = \lim_{n \to \infty} \frac{6}{2} = 3[/tex]
Really does not matter where we are looking for the limit, because this is a constant equation, so we have that the correct option is b) 3
Which of the following is the third value for the data set below
Answer:
Step-by-step explanation:
Ur mom
what is the final amount if 2024 is increased by 17% followed by a 15% decrease give your answer rounded to DP.
2024 + 0.17(2024) = 2368.08
2368.08 - 0.15(2368.08) = 2012.868
The final amount is 2012.868.
Hope this helps!! :)
Answer:
2012.9
Step-by-step explanation:
17% increase of 2024
17/100 × 2024
34408/100
344.08
344.08+2024
2368.08
15% of 2368.08
15/100 ×2368.08
0.15×2368.08
355.212
Since it's a decrease
2368.08-355.212
=2012.868~2012.9
So the final answer is 2012.9
someone please answer this for me.
Answer:
the answer is 83 degrees
What is the probability of at least 2 people having the same birthday as you in a class of 29 students?
Answer:
The chance that the second person has the same birthday is 1/365. To find the probability that both people have this birthday, we have to multiply their separate probabilities. (365/365) * (1/365) = 1/365, or about 0.27%