What is the factorization of 2x2 + 7 x + 6?
A.(2x+3)(x+2)
B.(2x+2)(x+3)
C.(x+3)(x+2)
D.(x+3)(x+6)
Answers
Related Questions
Stacy studies math for Ž of an hour per day and science for Ž of an hour per day.How many total hours does she study in 5 days?5A.of an hourB.5of an hour30C.106hoursD.25 hoursE.356hours
Answers
Given data:
The number of hour Stacy studied maths is 2/6 hour.
The number of hour Stacy studied science is 3/6 hour.
The total number of hours Stacy studied in 5 days is,
\(\begin{gathered} 5(\frac{2}{6}+\frac{3}{6})=5\times\frac{5}{6} \\ =\frac{25}{6} \end{gathered}\)Thus, the total number of hours Stacy studied in 5 days is 25/6 hours, so option (D) is correct.
I doesn’t really make sense to me need some help
Answers
Answer: x= 15
Step-by-step explanation: So to prove these two lines A and B are congruent the angles must line up which mean rules of complimentary, Supplementary and alternating angles apply. For angles 2 and 4 due to our alternating angles rule they add up to equal 180 so in math
2x+10+4x+80 = 180 or 6x+90=180 where x = 15
Pick all the fractions equal to 3. 6/2 3/3 3/1 18/6
Answers
How?
\(\\ \sf\longmapsto \dfrac{6}{2}=3\)
\(\\ \sf\longmapsto \dfrac{3}{1}=3\)
\(\\ \sf\longmapsto \dfrac{18}{6}=3\)
3/1 = 3
18/6 = 3
the length of a rectangular mat is twice its breath.if its length is 50 cm find its area and perimeter
Answers
Answer:
L = 2W
If L = 50cm
then
w= 25cm
Area = L*W= 50*25
Area= 1250 cm^2
Perimeter
P = 2(L+W)
P= 2 (50+25)
P = 150cm
سلام. ایرانی ها بیان فالو بک بدیم
\( \sqrt[5]{1024} = \frac{?}{?}\)
Answers
2^10/5 = 2^2 = 4
................................
A company uses two backup servers to secure its data. The probability that a server fails is 0.21.
Assuming that the failure of a server is independent of the other servers, what is the probability that one or more of the servers is operational? (Round your answer to 6 decimal places.)
Answers
0.955900 is the probability that one or more of the servers is operational.
To find the probability that one or more of the servers is operational, we can calculate the complement of the event that both servers fail, and then subtract it from 1.
Let's denote:
P(A) = probability of the first server failing = 0.21
P(B) = probability of the second server failing = 0.21
Since the failure of one server is independent of the other server, the probability of both servers failing can be calculated as the product of their individual failure probabilities:
P(A and B) = P(A) * P(B) = 0.21 * 0.21 = 0.0441
The complement of this event (at least one server is operational) is 1 - P(A and B). Therefore, the probability that one or more of the servers is operational is:
P(at least one server operational) = 1 - P(A and B) = 1 - 0.0441 = 0.9559
Rounded to 6 decimal places, the probability is approximately 0.955900.
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the ordered pair that is a solution of the equation y=|-4x+1|Answer choices.(3,-11)(3,11)(3,13)(3,3)
Answers
The given expression is
\(y=|-4x+1|\)We just have to evaluate each answer choice to see which one satisfies the given equations.
For (3,-11)
\(\begin{gathered} -11=|-4(3)+1| \\ -11=|-12+1| \\ -11=|-11| \end{gathered}\)This result is false, since those numbers are not equivalent.
For (3,11)
\(\begin{gathered} 11=|-4(3)+1| \\ 11=|-12+1| \\ 11=|-11| \\ 11=11 \end{gathered}\)In this case, the point (3,11) satisfies the equation because we got a true result.
Therefore, the right answer is (3,11).Question 3 of 10
Subtract these polynomials.
(6x²-x+ 8) - (x² + 2) =
Answers
Answer:
\(5 {x}^{2} - x + 6\)
Step-by-step explanation:
The solution is in the image
hi anybody tell me the answers
Answers
Boys total: 32
Boys math: 5
Boys english: 20
Total english: 26
Total science: 19
if I am 6ft 3in tall. and you are 5'3 How much taller or shorter am I than you? How did you find your answer?
Answers
explaination:
there is 12 inches in a foot. so if i am 5’3 and i add 12 inches to that i will ger 6’3. which is how tall you are
Luke now takes 20 cards numbered 1 to 20. Show how the cards can
be paired to give an LCM of 60.
Answers
Answer:
Step-by-step explanation:
The pair members cannot be multiplied. Look at the last numbers that are prime starting with eleven
What are you going to pair these primes with
11 13 17 19
So they must be added (or maybe subtracted).
1 19
2 18
3 17
4 16
5 15
6 14
7 13
8 12
9 11
and 20 which no matter how you do this, there will be 1 card left over.
Each of them adds to 20 so the LCM is 20
does someone know how to do this
Answers
Answer:
us
Step-by-step explanation:
(B)
bbbbbbbbbbbbbbbbbbbbbbbbb(a) You are looking at a car loan to finance your newly bought dream car. The car will cost you $150,000 of which you must pay 40% upfront. The car dealer quotes you an interest rate of 2% per annum for a 5 -year loan, for which monthly payments are based on the following formula:
([( Loan amount x interest rate per annum x Loan tenure (no of years) ]+ loan amount) / Loan tenure (no of months)
Calculate the interest rate you will be paying every month.
(b) (i) You are able to secure financing for your car from another source. You will have to pay 3% per annum on this loan. The lender requires you to pay monthly for 5 years. Is this loan more attractive than the one from the car dealer? (ii) Suppose the lender requires you to set aside $10,000 as security to be deposited with the lender until the loan matures and repayment is made. What interest rate must the lender charge for it to be equivalent to the interest rate charged by the car dealer?
Answers
The monthly interest rate you will be paying is approximately $2,583.33, and (b) the alternative loan is less attractive than the one from the car dealer, with the lender needing to charge an interest rate of approximately 2.31% to match the car dealer's rate.
(a) Calculation of the interest rate you will be paying every month:
Given:
The car will cost = $150,000
Amount to be paid upfront = 40%
Interest rate per annum = 2%
Loan tenure (no of years) = 5 years
Loan tenure (no of months) = 5 x 12 = 60 months
Using the formula to calculate the interest rate you will be paying every month:
Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)
Substituting the given values in the formula:
Interest Rate = (150000 x 2 x 5 / 100 + 150000) / 60
Interest Rate = (15000 + 150000) / 60
Interest Rate ≈ $2,583.33
Therefore, the interest rate that you will be paying every month is approximately $2,583.33.
(b) (i) You are able to secure financing for your car from another source. You will have to pay 3% per annum on this loan. The lender requires you to pay monthly for 5 years. Is this loan more attractive than the one from the car dealer?
Given:
Interest rate per annum = 3%
Loan tenure (no of years) = 5 years
Loan tenure (no of months) = 5 x 12 = 60 months
Using the formula to calculate the interest rate you will be paying every month:
Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)
Substituting the given values in the formula:
Interest Rate = (150000 x 3 x 5 / 100 + 150000) / 60
Interest Rate = (22500 + 150000) / 60
Interest Rate ≈ $2,916.67
The monthly payment amount is higher than the car dealer's, so this loan is not more attractive than the one from the car dealer.
(ii) Suppose the lender requires you to set aside $10,000 as security to be deposited with the lender until the loan matures and repayment is made. What interest rate must the lender charge for it to be equivalent to the interest rate charged by the car dealer?
Let x be the interest rate that the lender must charge.
Using the formula of compound interest, we can find the interest charged by the lender as follows:
150000(1 + x/12)^(60) - 10000 = 150000(1 + 0.02/12)^(60)
150000(1 + x/12)^(60) = 150000(1.0016667)^(60) + 10000
(1 + x/12)^(60) = (1.0016667)^(60) + 10000/150000
(1 + x/12)^(60) = (1.0016667)^(60) + 0.066667
Taking the natural logarithm on both sides:
60(x/12) = ln[(1.0016667)^(60) + 0.066667]
x ≈ 2.31%
Thus, the lender must charge approximately a 2.31% interest rate to be equivalent to the interest rate charged by the car dealer.
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A baby monitor picks up signals within 50 meter radius .how many square meters of coverage does the baby monitor provide
Answers
Answer:
15.24 square meters
Step-by-step explanation:
Simplify 5^3. Show work
Answers
Answer:
5^3 is 125 , 5 * 5 = 25 , 25 *5 = 125
Step-by-step explanation:
Answer:
Step-by-step explanation:
Multiply 5 three time's because 5 is cubed.
5 x 5 x 5 = 125
Hope this help's.
please help me ill mark brainliest and show your work please
Answers
Answer:
the asnwer is
Step-by-step explanation:
infinite solutions because 2(x-2) it equals 2x-4 and that is the first euqation
making 2x-4=2x-4 which is right
a spinner is divided into four equal sections that are numbered 2, 4, 5, and 7. the spinner is spun twice.
Answers
Total number of outcomes having sum greater than 7 & with atleast one even number is 7.
In the given question,
Spinner divided into four equal sections.
These are numbered 2, 4, 5, and 7.
The spinner is spun twice.
We have to find how many outcomes have a sum less than 7 and contain at least one even number.
Since the spinner is spun twice.
So total outcomes are:
(2,2),(2,3),(2,5),(2,8),(3,2),(3,3),(3,5),(3,8),(5,2),(5,3),(5,5),(5,8),(8,2),(8,3),(8,5),(8,8)
Outcomes where sum is greater than 7 are (2,8),(3,5),(3,8),(5,3),(5,5),(5,8),(8,2),(8,3),(8,5),(8,8).
Thus outcomes where sum is greater than 7 and atleast one even number are (2,8),(3,8),(5,8),(8,2),(8,3),(8,5),(8,8).
Thus total number of outcomes having sum greater than 7 & with atleast one even number is 7.
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The right answer is:
A spinner is divided into four equal sections that are numbered 2, 4, 5, and 7. The spinner is spun twice. How many outcomes have a sum greater than 7 and contain at least one even number?
a triangle is the shape used to represent the components of total health. rue or false
Answers
A triangle is a shape used to represent the components of total health. True
an example that describes a situation which could be modelled by the equation M = 50 + 6d
Answers
Answer:
Cost of staying hotel with fixed charge of 50 and $6 for each day stay
where d is number of days of stay
M is total money charged by hotel.
Step-by-step explanation:
We have to describe a situation to fit into the given model.
model is M = 50 + 6d
it consist of two part
constant part 50
and variable part 6d which depends on value of d,
Let take M as money
d as days
in hotel, hotel service charge is fixed at 50
and for each day stay 6$ is charged.
Thus,
total money charged by hotel will be equal to sum of
fixed part 50
$6d for staying d days in the hotel
which can be modeled by given equation
M = 50 + 6d
help meeeeeeeeeeeeeee pleaseeeeeee
Answers
Answer: 2.5, 5.4
Step-by-step explanation:
\(-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4\)
From January to June, there are more daylight hours as June approaches.
What is the dependent variable?
Answers
Answer:
The daylight depends on the month so daylight is the dependent and the months are independet
Step-by-step explanation:
if there are 2 boards on a shelf one is 234 in the other is 246 in what is the total legth of the boards
Answers
The lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches.
To find the total length of the two boards, you need to add their individual lengths together.
Step 1: Identify the length of each board. The first board is 234 inches long, and the second board is 246 inches long.
Step 2: Add the lengths of the boards together.
234 (length of first board) + 246 (length of second board) = 480
So, the total length of the two boards on the shelf is 480 inches. This means that if you were to place the two boards end-to-end, they would cover a distance of 480 inches.
In summary, by identifying the lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches. This calculation helps us understand the total amount of space the boards would occupy if placed side by side.
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Find the area of the parallelogram 11 mm 22 mm
Answers
Answer:
Ok well come how are you there
the curve of a model that performs well on false positives and true positives is in what quadrant (or region) of a roc curve?
Answers
The more that the ROC curve hugs the top left corner of the plot, the better the model does at classifying the data into categories
A true positive result is one in which the model accurately predicts the positive class. A true negative, on the other hand, is a result in which the model correctly predicts the negative class.
A false positive is an outcome in which the model forecasts the positive class inaccurately. A false negative is an outcome in which the model forecasts the negative class inaccurately.
The ROC curve is obtained by plotting the true positive rate (TPR) against the false positive rate (FPR) at various threshold values.
The true-positive rate is also known as sensitivity, recall, and likelihood of detection.
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Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
Answers
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
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A box is shaped like a rectangular prism. The volume of the box is 420 inches. The area of the base of the box is 28 square inches. What is the height of the box?
A. 12 in
B. 18 in
C. 25 in
D. 15 in
Answers
Answer:
D. 15 in
Step-by-step explanation:
420 divided by 28 equals 15.
[17] Write a numerical expression to represent the phrase: "The quotient of 30 and the sum of 5 and 7"
Answers
Solution:-
The sum of 5 nd 7 is:
5 + 7 = 12The quotient of 30 nd the sum of 5 nd 7 is written as:
\(\large{ \frak{\frac{30}{ \: 7 + 5 \: } }}\)\( \: \).
\( \large \frak{ \cancel \frac{ \: 30 \: }{ \: 12 \: } }\)\( \: \)
\( {\underline{\boxed{\large{ \red{ \frak{= 2.5\: }}}}}}\)\( \: \)
hope it helps! :)
.
write a polynomial function with the given zeros
x = -2, -2, 3
Answers
Answer:
(x+2)(x+2)(x-3)
Step-by-step explanation:
hope this helps
A rectangular prism has a height of 1/4 m and a square base with an area of 8 2/5m².
Answers
A = 1/4 x 8 2/5
8 2/5 can be rewritten as 42/5
1/4 x 42/5 = 42/20
Simplified = 21/10 or 2 1/10 or 2.1
In circle SS, ST=5ST=5 and m\angle TSU=50^\circ∠TSU=50∘ Find the length of \overset{\LARGE\frown}{TU} TU⌢ . Express your answer as a fraction times \piπ.
Answers
The length of arc TU, as a fraction terms of π, is calculated as: 25/18 π units.
How to Find the Length of an Arc of a Circle?The length of an arc of a circle is the distance around the portion of the circumference of a circle that is marked by two points connected to the radius of the circle. Given r as the radius length and ∅ is the central angle measure, the length of the arc of the circle can be calculated as:
Arc length = ∅/360 × 2 × π × r.
Given the following:
Central angle (∅) = m∠TSU = 50°
Radius of the circle (r) = 5
Plug the values into ∅/360 × 2 × π × r:
Arc length = 50/360 × 2 × π × 5
Arc length = (50 × 2 × π × 5)/360
Arc length = 500/360 × π
Arc length = 50/36 × π
Arc length = 25/18 × π
Arc length of TU = 25/18 π units
Thus, the length of arc TU, as a fraction terms of π, is calculated as: 25/18 π units.
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