Consider this product. x^2-4x-21/3x^3+6x x^2+8x/x^2+11x+24 Which values are excluded values for the product?
Answers
Using the domain, it is found that x = -8 is excluded for the product.
The domain of a function is the set that contains all possible input values.
In a fraction, the denominator cannot be 0.In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.
For the first fraction, they are:
[tex]3x^2 + 6x = 0[/tex]
[tex]3x(x + 2) = 0[/tex]
[tex]3x = 0 \rightarrow x = 0[/tex]
[tex]x + 2 = 0 \rightarrow x = -2[/tex]
Hence, x = -2(not an option) is excluded.
x = 0 can be factored with the numerator of the second fraction, so not excluded.For the second fraction, the roots of the denominator are:
[tex]x^2 + 11x + 24 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = 11, c = 24[/tex], hence:
[tex]\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8[/tex]
[tex]x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3[/tex]
x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.
A similar problem is given at https://brainly.com/question/13136492
Answer:
0, -3, -8
Step-by-step explanation:
Related Questions
Slope of a line pls answer
Answers
Answer:
[tex]m = - \frac{1}{2}[/tex]
Step-by-step explanation:
hope this helps!
Simplify this expression 3(2h + 5)
Answers
Explaination: cause I’m a genius
Explanation: use the distributive property.
3 x 2h = 6h
3 x 5 = 15
Can you help me find the answer
Answers
Answer:
quadrilateral
and
pentagon
Answer:
1. Trapezium
2.Pentagon
(Irregular)
You can wash a car 1.5 times as fast as your friend. Working together, the two of you can wash 1 car in 6 minutes. How long does it take each of you to wash the car when working alone? Leave your answer as a fraction!
Answers
If the two of you can wash 1 car in 6 minutes:
It will take you 10 minutes to wash the car alone
take your friend 15 minutes to wash the car alone
Let the duration you can work be represented by y
Let the duration your friend can work be represented by x
You can wash a car 1.5 times as fast as your friend
That is, y = 1.5x
Working together, the two of you can wash 1 car in 6 minutes
This can be represented by the equation
[tex]\frac{1}{x}+\frac{1}{y} = \frac{1}{6}[/tex]
Substitute x = 1.5y into the equation above
[tex]\frac{1}{1.5y}+\frac{1}{y} = \frac{1}{6}\\\\\frac{1+1.5}{1.5y} = \frac{1}{6}\\\\\frac{2.5}{1.5y} = \frac{1}{6}\\\\1.5y=2.5(6)\\\\1.5y=15\\\\y=\frac{15}{1.5} \\\\y=10[/tex]
It will take you 10 minutes to wash the car alone
Substitute y = 10 into x = 1.5y
x = 1.5(10)
x = 15 minutes
It will take your friend 15 minutes to wash the car alone
Learn more here: https://brainly.com/question/25547756
What two words make the contradion "there's"
A. There are
B. There is
C. That is
D. There has
Answers
Answer:
C: There is
Step-by-step explanation:
Hope this helps!
Mark as Brainliest if it does.
What is the product of (3^5) (2^5) (3^4)
Answers
(3^5) = 729 (2^5) = 64 (3^4) = 243
729 x 64 x 243 = 11,337,408
A sweatshirt at Macy’s costs $68. If you have a 30% coupon, how much will the sweatshirt be after the discount is applied?
Answers
Answer:
$47.60
Step-by-step explanation:
Answer:
$47
Step-by-step explanation:
when 1760 is divided into 14 equal parts, the remainder is 10. what is the correct way to write the quotient?
Answers
Answer:
125 R10
Step-by-step explanation:
You have to do (1760-10)/14=125
Can I get some help on this I have so many assignments to do and I just want to go to sleep
Answers
Write an expression to represent:
Eight minus the quotient of two and a number xx
Answers
Answer:
8-(2/x)
Step-by-step explanation:
help? plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer:
you're right, d measures 180 degrees
Step-by-step explanation:
the protractor is measuring a straight line and straight lines measure 180 degrees
hope this helps
g (r)=-5r+13
g(3) Evaluate Functions
Answers
Answer: Algebra. Evaluate the Function g (3)=-5r+13. g(3) = −5r + 13 g ( 3) = - 5 r + 13. Replace the variable r r with 3 3 in the expression. g(3) = −5⋅3+13 g ( 3) = - 5 ⋅ 3 + 13. Simplify the result. Tap for more steps... Multiply − 5 - 5 by 3 3. g ( 3) = − 15 + 13 g …
Step-by-step explanation: sorry if this does not helps please give me brainly
The height of above ground level in meters of missile launched vertically,is given by
H(t)=-16t³+100t
At what time is the missile 72m
Answers
The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
Let h(t) represent the height of the missile above the ground at time t. Given that:
h(t) = -16t³ + 100t
When the height is 72 m:
72 = -16t³ + 100t
16t³ - 100t + 72 = 0
t = 2 seconds and t = 0.8 seconds
The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.
Answers
Answer:
You tutor for 4 hours
Step-by-step explanation:
If you count all the boxes, there are 6
12/6 is 2
You have 2 boxes so you do 2*2 which is 4
THE ANSWER IS 4
Answer:
24
Step-by-step explanation:
i added the time frame of you both tutoring ig.
Write in standard form 456 000
Answers
Answer: 4000,000 + 50,000 + 6,000
Step-by-step explanation: just break apart the number and add
x-8/2=-14
solve for x
Answers
Answer:
-20
Step-by-step explanation:
-14 x 2 = -28
-28 + 8 = -20
There you go :D
Answer:
-10
Step-by-step explanation:
first Solve for the fraction
-8/2= -4
x-4= -14
next add the negative 4 to 14
x=-10
and there's you're answer!
find the area in hectares of a rectangular farmland 1km by 1/2km
Answers
Answer:
Solution: Length of the rectangular farmland =1km :Breadth of the rectangular farmland =1/2km1km= 1000m, 1/2km =500m
Area=Length×Breadth
=1000x500m2=500000m2
=50×10000m2=50 hectares
:)IM TIMED PLEASE HELP ILL GIVE U BRAINLIEST D:
what is 8.52 divided by 12
show your work in partial quotient
Answers
Answer:
look at the photo...............A store manager predicts that 120 hats will be sold if each hat costs $16. The manager predicts that 4 less hats will be sold for every $1 increase in price. For what prices can the manager predict that at least 80 hats will be sold?
Answers
Answer:
The manager predicts that 3 less hats will be sold for every $1 increase in price. For what prices can the manager predict that at least 50
Step-by-step explanation:
The manager can predict $26 that at least 80 hats will be sold.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Cost of one hat = $16.
And number of hats sold by manager = 120.
Also, given that,
if $1 increases 4 fewer hats will be sold.
To find the price when 80 hats will be sold.
40 fewer hats should be sold.
4 fewer hats increases $1.
40 fewer hats will increase $1 x 10 = $10.
So the price of new price of hat = 16 + 10 = $26,
At $26 per hat the manager can sell at least 80 hats.
To learn more about Ratio on :
https://brainly.com/question/13419413
#SPJ2
Quadrilateral PQRS is shown
40+1
Q
R
(6x + 13)
6b
/11b-10
(7x- 500
P
s
2a +9
What must mZQPS be for PORS to be a parallelogram?
A 18
B 59
C 121
OD not enough information
Answers
Answer:
m∠QPS = 59
Step-by-step explanation:
59 + (7x-5) = 180
x = 18
If you substitute 59 with the other answer options you will get a decimal.
I hope that this could help!!!!
An electronics store had a special sale on two different models of calculators. The more high-tech model sold for $33.02 and
the older model sold for $18.55. All together, 28 calculators were sold. Total sales came out to $736.45. Which system of
equations can be used to determine how many high-tech models were sold, x, and how many older models were sold, y?
Answers
Answer:
$736.45/$33.02 = 22.30 high tech
x($33.02) = $736.45
$736.45/$18.55 = 39.70 older models
y($18.55) = $736.45
Find the number that makes the ratio equivalent to 2:4
16:
Answers
Step by step:no
Dan and Paul share some money in the ratio 13:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have?
Answers
Answer:
Dan had $104
Paul had $40
Step-by-step explanation:
13x-32=5x+32
8x=64
x=8
8*5=40
13*8=104
(10). An article marked at 1,200 is sold at an 8% discount . Find the S.P of the article?
Answers
Answer:
$1,104
Step-by-step explanation:
If the discount is 8%, then you would need to subtract 8% (0.08) from 1, which would be 0.92. Now multiply $1,200 by 0.92 and you'll get $1,104.
=================================================
Solution:[tex] \rightarrow [/tex] 1,200 x (100% - 8%)
[tex] \rightarrow [/tex] = 1,200 x 0.92
[tex] \rightarrow [/tex] = 1,104
integer operations
11. -60
12. 10
13. -9
14. 14
15. 37
Answers
Answer:
[tex]11. - 60 = - 49 \\ 12.10 = 12.1 \\ 13. - 9 = 4 \\ 14.14 = \frac{707}{50} \\ 15.37 = \frac{1537}{100} [/tex]
100 POINTS IF U GET THIS RIGHT!
Answers
Answer:
Step-by-step explanation:
y=-2x - 7/6 .............1
By using the slope-intercept form:
y=mx+c ............2
By comparing equations 1 and 2:
m = -2
If you need to ask any questions, please let me know.Nell has a piggy bank full of dimes and nickels. She empties the bank and counts the coins. She counts 30
coins in all, with a total value of $2.90. Nell says she has 14 dimes and 16 nickels.
(a) Write a system of linear equations to represent the number of coins that Nell had in her piggy bank
and the total value of the coins.
(b) Determine whether Nell could have counted the number of dimes and nickels correctly. Show all your
work to prove whether she counted the coins correctly.
Answers
[a] A dime is worth 10 cents (0.10 dollars) and a nickel is worth 5 cents (0.05 dollars). If there are 30 coins in all, we can set up a linear equation in standard form to look like this:
30 - n = d
Since the total is 2.9, we can do the following:
{ 30 - n = d
{ .05n + .10d = 2.90
And our system is in bold
(where n is nickels and d is dimes, you could also use x and y if you wish)
[b] She could have counted the number of dimes and nickles correctly, but she did not. The number of nickles is 2 with there being 28 dimes.
Now, we will solve:
.05n + .10(30 - n) = 2.90
.05n + 3 - .1n = 2.9
3 - .05n = 2.9
3 = .05n + 2.90
.05n = 0.1
n = 2
(dimes is 30 - 2 = 28)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
what does x equal in 150 = -6(x)^2 + 100x -180
Answers
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
x
=
25
+
√
130
3
,
25
−
√
130
3
Decimal Form:
x
=
12.13391808
…
,
4.53274858
…
Step-by-step explanation:
Answer:
x=\frac{25-\sqrt{130}}{3}
Step-by-step explanation:
x_{1,\:2}=\frac{-100\pm \sqrt{100^2-4\left(-6\right)\left(-330\right)}}{2\left(-6\right)}
x_{1,\:2}=\frac{-100\pm \:4\sqrt{130}}{2\left(-6\right)}
x_1=\frac{-100+4\sqrt{130}}{2\left(-6\right)},\:x_2=\frac{-100-4\sqrt{130}}{2\left(-6\right)}
x=\frac{25-\sqrt{130}}{3},\:x=\frac{25+\sqrt{130}}{3}
A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each Day Weight (ounces) Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 If he uses upper and lower control limits of 22 and 18 ounces, what is his risk (alpha) of concluding this process is out of control when it is actually in control (Type I error)
Answers
Using the normal distribution and the central limit theorem, it is found that his risk is of 0.0456.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 20 ounces and standard deviation of 2 ounces, hence [tex]\mu = 20, \sigma = 2[/tex].Sample of 4 packages, hence [tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]The risk is the probability of being more than 2 ounces from the mean, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Applying the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2}{1}[/tex]
[tex]Z = 2[/tex]
The risk is P(|Z| > 2), which is 2 multiplied by the p-value of Z = -2.
Looking at the z-table, Z = -2 has a p-value of 0.0228.0.0228 x 2 = 0.0456
The risk is of 0.0456.
For more on the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
What single decimal multiplier would you use to decrease by 19% followed by
a 10%
Increase
Answers
Answer:
1.26 is the single decimal multiplier
Step-by-step explanation:
Answer:
Answer: 1.26 is the single decimal multiplier.
Step-by-step explanation: