the first one
100x² + 20x +1
its a factor of different 2 squares
(10x - 1 )²
Answer:
(c) 144x² -49y²
Step-by-step explanation:
In order for the pattern for factoring the difference of squares to apply, the expression must be a binomial whose terms are squares and whose value is their difference.
Evaluating choicesA. 100x² +20x +1 = (10x +1)² . . . . . it is a square, not the difference of squares
B. x² +4x -12 = (x² +4x +4) -16 = (x +2)² -4² . . . . can be written as the difference of squares (see comment below)
C. 144x² -49y² = (12x)² -(7y)² . . . . the difference of squares
D. 14x -16 = 14x -4² . . . . first term is not a square.
The answer choice that matches the pattern "difference of squares" is ...
144x² -49y²
__
Additional comment
Virtually any quadratic that is not a perfect square can be written in a way that would allow it to be factored as the difference of squares. (This is what we do when we "complete the square.) Answer choice B is an example of this. If the "difference of squares" factoring were expanded in that case, it would look like ...
= (x+2 +4)(x+2 -4) = (x +6)(x -2)
This doesn't really match the pattern (a +b)(a -b), so the trinomial given in the answer choice is not really a candidate for factoring using the difference of squares pattern for a binomial.
IF U SEE THIS I NEED HELP S THAT IS WHAT I NEED HELP WITH THE PICTURE
Answer:
\(4x + 5x + {9}^{ \degree} = {90}^{\degree} \\ 9x = {81}^{ \degree} \\ x = \frac{ {81}^{ \degree}}{9} \\ \therefore \: x = {9}^{ \degree}\)
Hector has 10 cups of flour. Which equation shows how to determine the number of Two-fifths of a cup servings there are in the 10 cups of flour? 10 divided by two-fifths = 25 10 times two-fifths = 4 Two-fifths divided by 10 = StartFraction 1 Over 25 EndFraction Five-halves divided by 10 = one-fourth
Answer:
10/(2/5)
Step-by-step explanation:
If you want to find how much of something is in another thing, you divide.
Answer:
The answer is A 10 divided by 2/5=25. I just took the test on Ed
Step-by-step explanation:
I need help i cant figure out what im doing wrong, im confused (just number 15)
the length of the sections will be 24 and 18 respectively.
What are parallel lines?Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Given, Some pair of lines in that three lines are parallel and two of them are intersecting them.
Since, these are the the section made by two parallel lines. Thus, these given section will be Proportional to each other.
Thus,
20/15 = ( 7x - 11)/(4x - 2)
4/3 = ( 7x - 11)/(4x - 2)
16x - 8 = 21x - 33
5x = 25
x = 5
therefore, the length of the sections will be 24 and 18 respectively.
Learn more about parallel lines here:
https://brainly.com/question/28969931
#SPJ1
Answer asap
thank you
Answer:
read your book
Step-by-step its easy
What two categories account for more than half of the federal budget and make it difficult for the government to change spending levels significantly
Answer: mandatory and discretionary.
Identify the correct cross section of the triangular prism.
Please refer to the attachment
Fractions please help?!?
Find the area of the figure
Will
Give
Brainlist
Answer: 52x+4
Step-by-step explanation: Do 16(2x-1)+4(5x+5) and get 52x+4.
There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive? 3 times greater 10 times greater 1,000 times greater 3,000 times greater.
To find the how many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive we have to apply exponent operation.
The storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.
Given:
The given exponent for gigabyte is,
\(10^9\)
The given exponent of megabyte is,
\(10^6\)
What is exponent rule?The power rule of exponent rule is defined as if raise the a number with exponent to power then we will mulitply exponent to the power times. to change the negative exponent into a positive we have to invert the base.Calculate the storage capacity.
\(\dfrac{10^9}{ 10^6}=10^9-6}\\ \dfrac{10^9}{ 10^6}=10^3\\ \dfrac{10^9}{ 10^6}=1000\)
Thus, the storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.
Learn more about exponent rule here:
https://brainly.com/question/2254060
Answer:
C. 1,000 times greater
Step-by-step explanation:
type the correct answer rounded to the nearest ten dollars
Answer:
$120.00
Step-by-step explanation:
brainliest please
When I use the term "cubed" in reference to and exponent, which power
does this refer to?
Answer:
anything raised to the power of 3
Step-by-step explanation:
Something raised by the power of 2 has two equal dimensions. A cube has three equal dimensions.
Answer: The power of 3. So for example it would be x^3, and x is whatever number.
Step-by-step explanation:
I don’t know how to solve for eI already solved everything else, I just need to know how to write an equation for f(x)=___ using my answers from questions c & d
e)
1) Since we know the slope, and the y-intercept from the previous items we can tell the function's rule is:
\(f(x)=\frac{1}{2}x+13\)Note that the slope tells us how steep is the line, and the b-coefficient is 13.
2) And that is the answer.
35 less than a number m is -72 help me please!
Answer:
m=-37
Step-by-step explanation:
m-35=-72
m=-37
using the diagram below, what is the measure of ∠E?
Step-by-step explanation:
angle e = 50 degree,,,,,,,
four of the following statements are correct descriptions of a normal curve. which one is not a characteristic of a normal curve? group of answer choices it is symmetric its spread increases as its mean increases it is bell-shaped its mean is equal to its median it is single-peaked (unimodal)
The one is not a characteristic of a normal curve is its spread increases as its mean increases that is Option 2.
One of the numerical values that is frequently calculated in both descriptive and inferential statistics is statistical variance. If we know the mean, the value of each data point, and the number of samples, we can determine this value.
The spread of scores in a data set normally increases as the variance of that data set increases. The main reason for this is because variance is a number that represents the average departure of each data point from the mean.
Because the normal distribution is symmetrical on both sides of the mean and is a continuous probability distribution, the right side of the center is the opposite of the left side.
Probability is represented by the area under the normal distribution curve, and the total area under the curve equals one.
Learn more about Curve:
https://brainly.com/question/23418254
#SPJ4
Complete question:
Four of the following statements are correct descriptions of a Normal curve. Which one is NOT a characteristic of a Normal curve?
It is symmetric.Its spread increases as its mean increases.It is bell-shaped.Its mean is equal to its median.It is single-peaked (unimodal).A restaurant makes cornbread. For each batch of cornbread
3/4
cups of sugar is needed. If the chef used 21 cups of sugar, how
many batches of cornbread did he make?
Answer:
18
3/4 equals to .75 if you multiply .75 with 21 you get 18
A jar contains 6 yellow marbles, 4 black marbles, and 2 purple marbles. Two marbles are picked at random, without replacement. What is the probability of
selecting both yellow?
Answer:
The probability of selecting both yellow is 5/22.
Step-by-step explanation:
Given the number of yellow marbles = 6
Black marbles = 4
Purple marble = 2
Now find the total number of marbles in the jar.
Thus total marbles = Yellow marbles + Black marbles + Purples marble
Now insert the values in the above formula.
Total marbles = 6 + 4 + 2
Total marbles = 12
The probability of 2 yellow marble:
\(= \frac{6}{12} \times \frac{5}{11} \\= \frac{5}{22}\)
Thus, the probability of selecting both yellow is 5/22.
the quality control manager at a computer manufacturing company believes that the mean life of a computer is 105 months, with a variance of 81 . if he is correct, what is the probability that the mean of a sample of 70 computers would differ from the population mean by less than 1.9 months? round your answer to four decimal places.
The probability that the mean of a sample of 70 computers would differ from the population mean by less than 1.9 months is 0.1217.
In this problem, we have to find the probability that the mean of a sample of 70 computers would differ from the population mean by less than 1.9 months, given that the quality control manager believes that the mean life of a computer is 105 months, with a variance of 81.
To solve this problem, we can use the Central Limit Theorem, which states that the sample mean of a sufficiently large sample size, drawn from any population, will be approximately normally distributed with mean μ and variance σ²/n, where μ is the population mean, σ² is the population variance, and n is the sample size.
In this case, we know that the population mean is μ = 105 months and the population variance is σ² = 81. Since we are interested in the mean of a sample of 70 computers, we can use the formula for the standard error of the mean, which is σ/√n, to calculate the standard deviation of the sampling distribution of the mean.
The standard deviation of the sampling distribution of the mean is given by σ/√n = √(81/70) ≈ 1.226.
Now, we want to find the probability that the mean of a sample of 70 computers would differ from the population mean by less than 1.9 months. We can standardize this difference using the formula
z = (x' - μ)/(σ/√n), where x' is the sample mean.
Substituting the values, we get z = (x' - 105)/(1.226), and we want to find the probability that |z| < 1.9/1.226 ≈ 1.550.
Using a standard normal distribution table, we can find that the probability of |z| < 1.550 is approximately 0.1217.
Therefore, the probability that the mean of a sample of 70 computers would differ from the population mean by less than 1.9 months is 0.1217.
To know more about Probability here
https://brainly.com/question/11234923
#SPJ4
Solve each inequality. Check your solution. (x/3) + 5 ≥ 1/6
The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).
Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.
To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.
Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.
(x/3) + 5 - 5 ≥ 1/6 - 5
x/3 ≥ -29/6
Multiply both sides by 3.
3(x/3) ≥ 3(-29/6)
x ≥ -29/2
To check, let x = -29/2
x = -29/2 ≥ -29/2
Substitute this value to the inequality.
(x/3) + 5 ≥ 1/6
(-29/2)/3 + 5 ≥ 1/6
1/6 ≥ 1/6
let x = -14,
x = -14 ≥ -29/2
Substitute this value to the inequality.
(x/3) + 5 ≥ 1/6
-14/3 + 5 ≥ 1/6
1/3 ≥ 1/6
Learn more about inequalities here: brainly.com/question/24372553
#SPJ4
HELPPP!??? PLS ANSWER!!???
Answer:
FE = 9 , DE = 15
Step-by-step explanation:
Δ FDE and Δ HGE are similar , then the ratios of corresponding sides are in proportion , that is
\(\frac{FE}{HE}\) = \(\frac{FD}{HG}\) ( substitute values )
\(\frac{FE}{6}\) = \(\frac{12}{8}\) ( cross- multiply )
8 × FE = 6 × 12 = 72 ( divide both sides by 8 )
FE = 9
and
\(\frac{DE}{GE}\) = \(\frac{FD}{HG}\)
\(\frac{DE}{10}\) = \(\frac{12}{8}\) ( cross- multiply )
8 × DE = 10 × 12 = 120 ( divide both sides by 8 )
DE = 15
3a^2 * 2a^3
multiply the monomial
Answer:
6a^5
Step-by-step explanation:
3a^2*2a^3
3×2+a^2×a^3
6a^5
Answer:
The answer is 6a⁵.
Step-by-step explanation:
You have to use Indices Law,
\( {a}^{m} \times {a}^{n} \: ⇒ \: {a}^{m + n} \)
So for this question :
\(3 {a}^{2} \times 2 {a}^{3} \)
\( = (3 \times 2) \times ( {a}^{2 + 3}) \)
\( = 6 \times {a}^{5} \)
\( = 6 {a}^{5} \)
PLZ HELP ME PLZZZZZZZZZZZZZZZZZZZZZZ
Answer and Step-by-step explanation:
Ok, so all we have to do is input the values into the equation.
We are told Adam bought 2 mechanical pencils and 8 spiral notebooks, which cost $13
and that
Kia bought 3 mechanical pencils and 5 spiral notebooks, which cost $12.50.
Adam: 2p + 8n = 13
Kia: 3p + 5n = 12.5
This is the answer.
#teamtrees #WAP (Water And Plant)
Answer: Adam: 2p + 8n = 13
Kia: 3p + 5n = 12.5
Step-by-step explanation:
A store sells three varieties of cheese cheddar, Gouda, and Swiss. Each variety of cheese is available in two different styles shredded or sliced. How many possible outcomes for the variety and style of cheese are there?
Answer:
6 possible outcomes
Step-by-step explanation:
To solve this problem, we have to make use of the Fundamental Counting Principle formula.
The formula counting principle states that when we are given two or more distinct events, in order to get the total number of possible outcomes, we multiply such events together.
In the above question, we are given two events.
Event 1
3 varieties of cheese: Cheddar, Gouda, and Swiss.
Event 2
2 styles of cheese: Shredded and Sliced
The possible outcomes for the variety and style of cheese = Event 1 × Event 2
= 3 × 2
6 possible outcomes.
These 6 Possible outcomes are listed below:
1) Cheddar cheese , Shredded
2) Cheddar cheese , Sliced
3) Gouda cheese , Shredded
4) Gouda cheese , Sliced
5) Swiss cheese , Shredded
6) Swiss cheese , Sliced
raeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb
Answer:
yes
Step-by-step explanation: k
Answer:
r+a+e+f^31+b
Step-by-step explanation:
Self-explanatory
At Charles School, 1/5 of the 75 students in seventh grade play in the jazz band. how many seventh graders play in the jazz band?
Answer:
15
Step-by-step explanation:
15 seventh graders play in the jazz band as per the given ratio.
What is the ratio?One quantity can be expressed as a fraction of other quantities using a ratio, which is a number. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given At Charles School, 1/5 of the 75 students in seventh-grade play in the jazz band.
In the form of a ratio
1/5 the students out of 75 play in the jazz band
Total students play in the jazz band = 75* 1/5
Total students play in the jazz band = 15
Therefore, The jazz band has 15 seventh graders playing according to the ratio.
Learn more about ratios here:
brainly.com/question/13419413
#SPJ2
riteria used to allocate fixed costs to a department include: relative benefits question 6 options: relative benefits ability to bear equity all of the above
Option (d) is correct. Criteria for assigning fixed costs to sectors include relative utility, sustainability, and fairness.
Fixed cost and allocation:
Fixed costs are costs that are essentially constant and do not change with fluctuations in the output of the relevant sector. Fixed costs are borne by the company and exist independently of business activities. Rent, insurance, and depreciation are examples of fixed costs. Cost attributes help identify, total, and assign costs to cost objects.
Fixed cost allocation involves identifying the beneficiaries of outputs and allocating costs to beneficiaries in proportion to the benefits received. Fixed costs can also be allocated in relation to the payer's ability to bear the allocated costs. Fairness is a criterion met where cost allocation is the basis for determining a satisfactory price (such as government contracts).
To learn more about fixed cost allocation, refer:
https://brainly.com/question/29344651
#SPJ4
Justine has $13.50 left on her city bus card and each bus ride cost $2.25.what equation can be used to find the number of bus rides he has left
Answer:
6 rides
Step-by-step explanation:
Total balance = $13.50 = ($2.25/ride)x, where x is the remaining number of rides. Dividing both sides by $2.25/ride yields 6.
Justin has enough on his bus card for 6 more rides.
How many complex roots does the polynomial equation below have? x7 - 3x5 + 4x2 - 1 = 0
Answer:
4 complex rootsStep-by-step explanation:
The easiest way is to use a graphing tool and solve it graphically.
We did it with Desmos and it shows 3 real roots, see below.
The polynomial is of degree 7, hence it should have 7 roots.
Since there are 3 real roots, the remaining ones are complex, so there are 4 complex roots
Answer:
4 complex roots
Step-by-step explanation:
Please help!!
Will mark brainliest
Tim owes his mother $23. What possible combination of jobs
could Tim perform to earn enough money to pay back his mother?
Write an addition equation using integers to represent the
situation. Will he have money left over?
Answer:McDonald’s
Step-by-step explanation:because they pay very low and u should have -3 -5 -10