Answers
because
(x-11)(x+4)
when you multiply that you get x^2 - 7x -44
Answer:
C. (x -11)
Step-by-step explanation:
The given trinomial is [tex]x^2 - 7x - 44[/tex]
Let's factor it. To find factor, we need to find the factors of -44 such that when you add them, we have to get -7
-44 = -11*4
- 7 = -11 + 4
so the correct factors are -11 and 4
Now we can write the middle term - 7x = -11x + 4x
[tex]x^2 - 7x - 44 = x^2 - 11x + 4x - 44[/tex]
Now let's group the first two terms and second two terms and factor it.
= x(x - 11) + 4(x - 11)
Here (x-11) is common factor, so we can take outside and rewrite.
= (x - 11)(x + 4)
So the factors are (x - 11) and (x + 4)
Answer is C. (x -11)
Related Questions
Which number is a prime number??
111
121
131
141
Answers
Final answer:
Among the given options, the number 131 is a prime number, as it only has two divisors: 1 and itself.
Explanation:
The student has asked to identify which number among the given options is a prime number. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Analyzing the given options:
111 is divisible by 3.
121 is divisible by 11 (11 x 11).
131 is a prime number because it has no divisors other than 1 and itself.
141 is divisible by 3.
Therefore, the correct answer is 131, which is a prime number.
A movie rental gives a free popcorn to every 15th customer and a free movie rental to every 4th customer. Which customer was the first to win both prizes?
Answers
Every 15th customer includes #15, #30, #45, #60, etc.
Every 4th customer includes #4, #8, #12, #16, #20, #24, #28, #32, #36, #40, #44, #48, #52, #56, #60
#60 is the first customer to win both prizes.
How do you represent any number in an equation?
Answers
Theoretically, what would happen if a nation had an unlimited supply of a certain resource?
Answers
Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?
A)1 1/6
B)2 3/8
c)3 5/6
D)4 3/4
Answers
3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts
Write the ratio
3 1/6 yards to 1 1/3 shirts:
19
---
6
---------------
4
---
3
We need to reduce this. The first (upper) ratio is 19/6; the second (lower() ratio is 4/3. We can mult. numerator and denom. of 4/3 both by 2 to obtain the equivalent ratio 8/6.
Then we have the ratio
19/6
-------- which can be reduced to 19/8. That's (19/8) yard/shirt. We can use
8/6 this as a conversion factor.
To make 2 shirts, Mary will need (19/8 yards per shirt)(2 shirts) of material, or 38/8 yards, or 19/4 yards (answer).
show the zero property of multiplication using the number 25
Answers
Which of the following sets of points is a direct variation?
(0, 0); (2, 4); (5, 15)
(0, 0); (-1, -2); (1, 2)
(3, 6); (-2, 4); (-1, 2)
(0, 5); (1, 6); (2, 7)
Answers
Answer:
(0, 0); (-1, -2); (1, 2) and (0, 5); (1, 6); (2, 7).
Step-by-step explanation:
The set will have a direct variation if each pair is added or subtracted by a common number in each component. You also can see it graphically, if the points form a straight growing line then the set is a direct variation. Then,
In the first set we have
(0,0), (0+2,0+4), (0+2+3, 0+4+11). The behavior is not uniform, then it is not a direct variation.
Second set: (-1, -2); (0,0); (1, 2)
(-1,-2)(-1+1,-2+2), (-1+1+1, -2+2+2). The behavior is uniform and it is increasing, then it is a direct variaton.
Third set:
(-2, 4), (-2+1,4-2), (-2+1+4, 4-2+4). The behavior is not uniform, then it is not a direct variation.
Fourth set:
(0,5), (0+1, 5+1), (0+1+1, 5+1+1). The behavior is uniform and it is increasing, then it is a direct variaton.
what is 79.4÷8 what is the answer in decimal form
Answers
9.925. Hope this helps you.
9.925 (this is in decimal fraction form)
One card is drawn at random from the deck of cards shown. Which of the following probabilities is equal to one?
P(even or odd)P(even and odd)P(not yellow)
Answers
I hope i helped!
If so, Please mark as brainliest!
Answer:
P(Even or ODD) ( .Y .)
Step-by-step explanation:
What is 1/7^9 × 1/7^-6
Answers
explain how you could convert a rate of 18000 miles per hour to miles per second
Answers
(18,000 mile / 1 hour) x (1 hour / 3,600 second) =
(18,000 x 1) / (1 x 3,600) (mile-hour) / (hour-second) =
(18,000 / 3,600) (mile / second) = 5 mile/second
18000 miles / 3600 seconds =
5 miles / 1 second
5 miles per second
jillian bought 1/2 pound of turkey and 1 1/3 pound of cheddar cheese at the deli. both items are on sale for $6 per pound. how much does each turkey cost>
Answers
To calculate the cost of the turkey, multiply the weight of the turkey (1/2 pound) by the cost per pound ($6). The total cost for the turkey is $3.
Jillian bought 1/2 pound of turkey and 1 1/3 pounds of cheddar cheese at the deli, with both items on sale for $6 per pound. To find out how much the turkey costs, you need to multiply the weight of the turkey by the cost per pound. Here's how you do it:
Determine the weight of the turkey: 1/2 pound.Multiply the weight of the turkey by the cost per pound: (1/2 pound) x ($6/pound).Calculate the cost: 1/2 x 6 = $3.Therefore, the cost of the turkey is $3.
Divide (8.6 x 108) by (3.2 x 103). Express your answer in scientific notation.
Answers
Use substitution to determine which of the following points is a solution to the standard form equation below. 2y = 5
Answers
HELP ME
On a Saturday, Tyler earned $97.20 waiting tables at a restaurant. He earned $9.25 an hour, and an additional $60.20 in tips. How many hours did he work that day? (Write and solve an equation to solve this problem.)
sorry my writing is messy
Answers
263,148 what is the value of the digit 6 in this number?
Answers
sixty thousand
hope this helps :)
Carol ate 2/5 of the cake, Dima ate 3/8 of the REMAINING cake, mom ate the rest.
If it was a POUND cake, how many OZ did MOM eat? PLEASE HELP ASAP, GIVING BRAINLIEST.
Answers
Her mum ate 31/40 of the cake
Given the weight of the cake to 1 pound
If Carol ate 2/5 of the cake, the remaining fraction of the cake will be 1 - 2/5 = 3/5
If Dima ate 3/8 of the REMAINING cake, then the fraction of cake Dima ate will be:
Dima = 3/8 * 3/5
Dima = 9/40
Fraction of the cake that her mum ate = 1 - 9/40 = 31/40
Hence her mum ate 31/40 of the cake
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Roger can run one mile in 8 minutes. jeff can run one mile in 6 minutes. if jeff gives roger a 1 minute head start, how long will it take before jeff catches up
Answers
now, if Roger can do 1 mile in 8 minutes, so in 1 minute, he has done then 1/8 of a mile, so his rate is 1/8 miles per minute.
if Jeff can do 1 mile in 6 minutes, he's faster, in 1 minute he has done 1/6 of a mile, so his rate is 1/6 miles per minute.
now, when Jeff catches up with Roger, the distance covered by both will be the same, say "d" miles, because, at that millisecond, Jeff will be neck and neck with Roger, and their covered distance will be the same.
now, Jeff is generous and let Roger roll on for 1 minute before him, so, by the time time Roger has covered "d" miles, he has been running for say "t" minutes.
however, since Jeff started later by 1 minute, he hasn't been running for "t" minutes, but for "t - 1" minutes.
[tex]\bf \begin{array}{lccclll} &\stackrel{miles}{distance}&\stackrel{mpm}{rate}&\stackrel{minutes}{time}\\ &------&------&------\\ Roger&d&\frac{1}{8}&t\\\\ Jeff&d&\frac{1}{6}&t-1 \end{array} \\\\\\ \begin{cases} \boxed{d}=\frac{1}{8}t\\\\ d=\frac{1}{6}(t-1)\\ ------\\ \boxed{\frac{1}{8}t}=\cfrac{t-1}{6} \end{cases} \\\\\\ \cfrac{t}{8}=\cfrac{t-1}{6}\implies 6t=8t-8\implies 8=2t\implies \cfrac{8}{2}=t\implies \boxed{\stackrel{mins}{4}=t}[/tex]
For the expression below, write an equivalent expression that involves x only. assume x is positive.
Answers
What is the value of log5 125
Answers
Answer:
[tex]log_5125=3[/tex]
Step-by-step explanation:
Given : [tex]log_5125[/tex]
We have to find the value of [tex]log_5125[/tex]
Consider the given expression [tex]log_5125[/tex]
Rewrite 125 in power- base form, [tex]125=5^3[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)[/tex]
[tex]\log _5\left(5^3\right)=3\log _5\left(5\right)[/tex]
[tex]=3\log _5\left(5\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1[/tex]
[tex]\log _5\left(5\right)=1[/tex]
[tex]3\log _5\left(5\right)=3[/tex]
Thus, [tex]log_5125=3[/tex]
The value of log_5 125 is 3.
We have,
To find the value of log base 5 of 125, we need to determine the exponent to which we need to raise 5 to obtain 125.
In other words,
What power do we need to raise 5 to in order to get 125.
So,
By evaluating 5³ (5 raised to the power of 3), we find that 5³ = 125.
So, log base 5 of 125 is equal to 3, as log base 5 of 125 = 3.
So,
log base 5 of 125 equals 3 because 5 raised to the power of 3 gives us 125.
Thus,
The value of log_5 125 is 3.
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(b) how many measurements must be averaged to get a margin of error of ±0.0001 with 98% confidence? (round your answer up to the nearest whole number.)
Answers
Part A:
If the weight is weighted 5 times and the mean weight is 10.0023 grams, the 98% confidence interval for μ, the true mean of the scale readings is given by:
[tex]98\% \ C. \ I.=\bar{x}\pm z_{\alpha/2}\left(\frac{\sigma}{\sqrt{n}}\right) \\ \\ =10.0023\pm2.33\left(\frac{0.0002}{\sqrt{5}}\right) \\ \\ =10.0023\pm2.33(0.000089) \\ \\ =10.0023\pm0.00021 \\ \\ =(10.0023-0.00021, \ 10.0023+0.00021) \\ \\ =(10.0021, \ 10.0025)[/tex]
Thus, we are 98% confidence that the true mean of the scale readings is between 10.0021 and 10.0025.
Part B:
To get a margin of error of +/- 0.0001 with a 98% confidence, then
[tex]\pm z_{\alpha/2}\left(\frac{\sigma}{\sqrt{n}}\right)=\pm0.0001 \\ \\ \Rightarrow2.33\left(\frac{0.0002}{\sqrt{n}}\right)=0.0001 \\ \\ \Rightarrow\left(\frac{0.0002}{\sqrt{n}}\right)= \frac{0.0001}{2.33} =0.0000429 \\ \\ \Rightarrow\sqrt{n}= \frac{0.0002}{0.0000429} =4.66 \\ \\ \Rightarrow n=4.66^2=21.7156\approx22[/tex]
Therefore, the number of measurements that must be averaged to get a margin of error of ±0.0001 with 98% confidence is 22.
To find the number of measurements that must be averaged to get a margin of error of ±0.0001 with 98% confidence, you can use the formula for the margin of error.
Explanation:To find the number of measurements that must be averaged to get a margin of error of ±0.0001 with 98% confidence, we can use the formula for the margin of error:
Margin of Error = Z * (Standard Deviation / √(Sample Size))
Given that we want a margin of error of ±0.0001 and a confidence level of 98%, we can find the corresponding Z-value using a standard normal distribution table.
Once we have the Z-value, we can rearrange the formula to solve for the sample size, which represents the number of measurements that must be averaged.
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If one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?
Answers
We know tat square has equal sides, so we will just multiply 20 twice as in [tex]S*S[/tex] or [tex]S^2[/tex]. Both of them are equal.
Area of the front cover of the notebook = [tex]s^2[/tex]
= [tex]20*20[/tex]
= [tex]400cm^2[/tex]
Hope I helped (:
have a great day!
If 5+6i is a root of the polynomial function f(x),which of the following must also be a root of f(x)
Answers
Answer:
5 - 6i must also be a root of f(x)
Step-by-step explanation:
Complex conjugates states that the two complex numbers are conjugates of each other if they have the same real part and their imaginary parts are negatives of each other i.e, the complex conjugate of a + bi is a - bi where i is imaginary.
Conjugate root theorem states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a-bi is also a root of that polynomial.
Given: if 5+ 6i is a root of the polynomial function f(x).
then,
by the conjugate root theorem;
5 - 6i is also be a root of the polynomial f(x).
Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned. Part A
Answers
Let's make a function for each person, and then combine them to find total calories
Gwen burns 10 cal/min, and had already burned 100 calories when Tristan and Keith started (Yg=100 when x=0)
Yg= 10x + 100
Tristan burns 125 cal every 10 minutes, or 12.5 cal every minute.
Yt= 12.5x
Keith burns 300 calories every 30 min, or 10 calories every minute.
Yk= 10x
Add Yg, Yt, and Yk to find the general function y:
y=10x +100 + 12.5x + 10x
y = 32.5x + 100
Answer:
For part A)
Let's make a function for each person, and then combine them to find total calories
Gwen burns 10 cal/min, and had already burned 100 calories when Tristan and Keith started (Yg=100 when x=0)
Yg= 10x + 100
Step-by-step explanation:
I got a 100% on it.
Suppose that a person with a push mower can mow a large lawn in 2 hours, whereas the lawn can be mowed with a riding lawn mower in 1 hours. working together, how long will it take to mow the lawn
Answers
If a lawn can be mowed with a push mower is 2 hours, then in 1 hour, you do 1/2 of the job.
If the same lawn can be mowed with a riding mower in 1 hour, then in 1 hour you do 1 job.
If the same lawn can be mowed by the two mowers together in x hours, then in 1 hour you get 1/x done.
1/2 + 1 = 1/x
3/2 = 1/x
x = 2/3
They take 2/3 of an hour. 2/3 * 60 min = 40 minutes.
2/3 hours take to mow the lawn.
what is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Time taken to mow by push mower= 2 hours
Time taken to mow by riding mower= 1 hours
So, if working together the time taken
= 1 / (1/2 + 1/1)
=1/ (3/2)
= 2/3
Hence, it will take 2/3 hours.
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Write three decimals that have a sum of 27.905. Parts of the needed decimals are listed below! thanks!
14. + 8. + 4. = 27.905
Answers
parts that are given is 14. + 8. + 4.
if we add these we get the sum of 26, so we need 1.905 more, if we add 0.95 + 0.5 + 0.5 we get 1.905
So, if the numbers are 14.905, 8.50 + 4.50 and we add these numbers we get the answer 27.905
14.905 + 8.50 + 4.50 = 27.905
Thus, the three decimals that have sum of 27.905 are 14.905, 8.50 and 4.50.
Trevor had 4 small boxes of raisins to share equally among himself and 2 friends.
How many boxes of raisins would each person receive?
A.
B.
C.
D.
Answers
thirty-eight and ninety-seven hundredths kilograms in standard form
Answers
so it's 38.97 kg
Answer:
The answer is 38.97 kilograms.
Step-by-step explanation:
Thirty-eight and ninety-seven hundredths kilograms in standard form is 38.97 kilograms.
Thirty eight is simply 38.
And ninety-seven hundredths means that 97 is written after decimal. This is because when there exists an 'and' in a mathematical number, this means there is a decimal.
So, the answer is 38.97 kilograms.
Find the first partial derivatives of the function. f(x, y) = ax + by/ cx + dy
Answers
The partial derivatives of the given function f(x, y) = ax + by / cx + dy with respect to x and y have been calculated, showing how the function changes with each variable while holding the other constant.
Explanation:For the function f(x, y) = ax + by / cx + dy, the first partial derivatives with respect to x and y are:
∂f/∂x = a(cy - by') / (cx + dy)²∂f/∂y = (ax - ay) / (cx + dy)²These partial derivatives measure the rate of change of the function f(x, y) with respect to x and y while treating the other variable as constant.
which equation is not true for the solution x = -8
Answers
Explanation: I tried all the other answers and the results match the expression, however, when I plug in -8 into this equation, the results are not equivalent.