Answers
Step-by-step explanation:
Step 3 is incorrect, it should be x - 4 + x = x(x - 3).
x - 4 + x = x(x - 3)
2x - 4 = x² - 3x
x² - 5x + 4 = 0
(x - 4)(x - 1) = 0
x = 4 or x = 1.
x = 4 is rejected as 1 / (x - 4) will become 1 / 0 which is undefined.
=> x = 1.
Related Questions
EASY QUESTION FOR 20 POINTS!!!
If the motion of an object increased, which type of mechanical energy was gained by the object?
Group of answer choices-
chemical energy
gravitational potential energy
kinetic energy
electromagnetic energy
Answers
Answer:
C. Kinetic energy.
Step-by-step explanation:
Kinetic energy is the energy an object has due to it's motion, since the motion of the object increased, it gained kinetic energy.
Answer:
Kinetic energy!
Step-by-step explanation:
Zach filled 581 one-liter bottles with apple cider. He distributed the bottles to 4 stores. Each store received the same number of bottles. How many liter bottles did each of the stores receive? Were there any bottles left over?
a. 145 liter bottles (There were 2 bottles remaining)
b. 142 liter bottles (There were 2 bottles remaining)
c. 145 liter bottles (There was 1 bottle remaining)
Answers
Answer:
a. 145 liter bottles (There were 2 bottles remaining)
Step-by-step explanation:
From this question, the total number of bottles that Zach had to fill with apple cider is 581.
He has to distribute these bottles to 4 stores after filling
The question says each store received same number of bottles.
To get the number of bottles received by each store, we divide 581 by 4
= 581 / 4
= 145.25
Therefore each store gets 145 bottles each and there would be a remainder of 2 bottles
What is the perimeter, in feet, of the polygon 15 22 10 18 14?
Answers
Answer:
79 feet
Step-by-step explanation:
The perimeter is all the sides added together.
15+22+10+18+14 =
79 feet
please give thanks :)
if answer is incorrect, your question is not clear enough. this is the best answer I can provide.
Step-by-step explanation:
check the answer it is as same
Please I really need help
Answers
Answer:
is the answer 3 times?
I wanna confirm lol
An object has a density of 40 g/cm
and a volume of 50 cm? What is
cm
the mass of the object?
Answers
Answer:
80
Step-by-step explanation:
^^^^^^^^^^^^^^^^^^uuuuu
Answers
Answer:
Step-by-step explanation:
Top triangle:
The hash marks indicate congruence. So, x is congruent to 15 or x= 15
x+6= 21
The length of the sides of this triangle are 15,15, and 21.
Two sides are congruent so isosceles.
Bottom triangle:
The sum of the angles in a triangle is 180.
30+35+x=180
75+x=180
x=105
105> 90, so this is an obtuse triangle.
Answer:
Step-by-step explanation:
Top triangle
good luck God bless merry Christmas and happy new year and stay safe and good luck in life! God bless y’all! :)
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $700 and the daily rate for each partner is $1700. The law firm assigned 4 more partners than associates to the case and was able to charge the client $21200 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
Answers
Let the daily rate of each associate, A = $700
And the daily rate of each partner, P = $1700
Let the total number of individuals involved in the case = NT
Total number of partners = NP
Total number of associates = NA
NP + NA = NT -------- (i)
From the question; NP - NA = 4 -------- (ii)
From (i), NA = NT - NP
Substitute in (ii) as: NP - (NT - NP) = 4
Therefore, 2NP - NT = 4.
And NP = 2 + (NT/2) --------- (iii)
Substitute for NP in (i) above: NT = NA + 2 + (NT/2)
Therefore, NT - (NT/2) - 2 = NA.
NA = (NT/2) - 2 ---------- (iv)
Finally, the total daily rate was $21200. This is a composite of the daily rate and numbers of both associates and partners.
Therefore, (A * NA) + (P * NP) = $21200 ---------- (v)
To find the individual number of associates and partners involved in this case, first substitute the values of NP and NA from (iii) and (iv) respectively into (v) such that the only variable in (v) is NT.
Solve for NT and then use the value to find NP and NA.
NT = 16
NP = 10
NA = 6
Notice that 10 - 6 = 4. Q.E.D
Hope this helps.
Answer:
p=a+4
Step-by-step explain:
Let a=the number of associates designated
let p=the number of partners designated
Write System of Equations:
700a+1700p=21200
a philanthropist deposits 2,000$, in a trust fund that pays 6.0%interest , compunded continuously. The balance given to the college from which the has earned interest for 20 years. How much will the college receive? round to the nearest tenth
Answers
Answer:
$6414
Step-by-step explanation:
Step one
given
Principal=$2,000
rate= 6%= 0.06
Time= 20 years
Required
The final amount
Step two:
The compound interest formula is
A= P(1+r)^t
substituting we have
[tex]A=2000(1+0.06)^2^0\\\\ A= 2000(1.06)^2^0\\\\ A=2000*3.207\\\\A=6414[/tex]
The amount given to the college is $6414
There are 11 books on a shelf. 4 of these books are new. The rest of them are used.
What is the ratio of all books on the shelf to used books?
What is the ratio of used books to new books?
Answers
11:4 and 4:7
hope this helps and have a wonderful day :)
Rachel’s penny bank is 1/2 full. After she adds 120 pennies, it is 7/10 full. How many pennies can Rachel’s bank hold?
Answers
Answer:
600 pennies
Step-by-step explanation:
to start you need to understand that 1/2=5/10 so if we start with the bank 5/10 full and she adds 120 pennies that goes up 2/10. so that means 1/10 of the bank holds 60 pennies. so to find the answer you need to multiply the 60 pennies by 10, because 10*60 would be equal to the entire bank.
Marriage Prospects Data released by the Census Bureau in 1986 indicated the likelihood that never-married women would eventually marry. The data indicated that the older the woman, the less the likelihood of marriage. Specifically, two statistics indicated that women who were 45 and never-married had an 18 percent chance of marriage and women 25 years old had a 78 percent chance of marriage. Assume that a linear fit to these two data points provides a reasonable approximation for the function p=f(a), where p equals the probability of marriage and a equals the age of a never- married woman. (a) Determine the linear function p=f(a). (b) Interpret the slope and p intercept. (c) Do the values in part b seem reasonable? (d) If the restricted domain on this function is 20 sa s 50, determine f(20), f(30), f(40), and f(50).
Answers
Answer:
See below
Step-by-step explanation:
Using the two pairs of (a, p) to determine the function:
(45, 18) and (25, 78)The function would be:
f(a) = ma + b, where m is slope, b is p-interceptSlope is:
m = (78 - 18)/(25 - 45) = -50/20 = -2.5p-intercept:
18 = -2.5*45 + bb = 18 + 112.5 = 120.5So the function is:
(a)
f(a) = -2.5a + 120.5(b) Slope is negative, indicating the lower probability at greater age. P-intercept of 120.5 is of the non-real case as for zero age it gives more than 100% probability.
(c) The domain needs restriction in line with law, so minimum age and maximum to be determined in order not to have unrealistic outcome. It should be ok between 18 and 48.
(d) The values at given points:
f(20 = -2.5*20 + 120.5 = 70.5f(30) = -2.5*30 + 120.5 = 45.5f(50) = -2.5*50 + 120.5 = -4.5 (negative probability for the age of 50 is not real)I really need help please asap
Answers
Answer:
[tex]\sqrt{8 m^{6} n^{3}}[/tex]
Step-by-step explanation:
In 2006, 65.2 million people subscribed to cable television. In 2013, that number had decreased to 54.2 million. Find the percent decrease in the number of cable TV subscribers from 2006 to 2013. Round to the nearest tenth of a percent.
Answers
Given :
In 2006, 65.2 million people subscribed to cable television.
In 2013, that number had decreased to 54.2 million.
To Find :
The percent decrease in the number of cable TV subscribers from 2006 to 2013.
Solution :
Decrease in the number of cable TV subscribers from 2006 to 2013 is :
[tex]Percetage\ Decrease = \dfrac{Decrease\ in \ price}{Initial\ price}\times 100\\\\Percetage\ Decrease = \dfrac{65.2-54.2}{65.2}\times 100\\\\Percetage\ Decrease = 16.87[/tex]
Therefore, percentage decrease is 16.87 %.
72 marble and 75% are red
Answers
Find the largest three-digit number that can be written in the form 3^m + 2^n, where m and n are positive integers.
Answers
Answer:
985
Step-by-step explanation:
[tex]let\ m=6[/tex]
[tex]3^{6}=729[/tex][tex]999-729=270[/tex]
[tex]2^{8}=256[/tex] and [tex]2^{9}=512[/tex] which would be to big of a number.
[tex]3^{6}+2^{8}=729+256=985[/tex]
Therefore the largest three-digit integer in this system is 985
Need help not understanding it please thank you i appreciate it
Answers
Angle ADG, angle BEH and angle CFI, all have two curves in their angles. Same number of curves are used to represent that their measure are equal.
So, m angle CFI = m angle ADG
So, m angle CFI = m angle ADG=> m angle CFI = 92°
Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal?
Store X: 4 cans for $2.48
Store Y: 5 cans for $3.00
Store Z: 59 cents per can
Answers
Answer:
Step-by-step explanation:
Maybe its z or b
Answer:
proabky aldi or kroger find the unt rate by dividing in the cacuulator and compare them.
Step-by-step explanation:
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
Answers
Answer:
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
Step-by-step explanation:
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
The percentages associated with each unit of standard deviation are all 0, since the standard normal curve is symmetric and the area under the curve for each interval of the same length and equidistant from the mean is equal.
What is standard deviation?A standard deviation is a measure of how far apart the data is from the mean.
The table shows the area under the standard normal curve for different values of x, where x is the number of standard deviations from the mean.
To find the percentage associated with each unit of standard deviation, we can subtract the area from the table for the lower value of x from the area for the higher value of x, and round the result to the nearest hundredth.
For example, the percentage associated with one unit of standard deviation, from -1 to 0 or from 0 to +1, is:
Area from -1 to 0: 0.3413
Area from 0 to +1: 0.3413 (symmetric curve)
Percentage: 0.3413 - 0.3413 = 0 (rounded to nearest hundredth)
The percentage associated with two units of standard deviation, from -2 to 0 or from 0 to +2, is:
Area from -2 to 0: 0.4772
Area from 0 to +2: 0.4772 (symmetric curve)
Percentage: 0.4772 - 0.4772 = 0 (rounded to nearest hundredth)
Similarly, we can find the percentages associated with other units of standard deviation:
From -3 to 0 or from 0 to +3: 0.4987 - 0.4987 = 0
From -4 to 0 or from 0 to +4: 0.4999 - 0.4999 = 0
Therefore, because the standard normal curve is symmetric and the area under the curve for each interval of the same length and equidistant from the mean is equal, the percentages associated with each unit of standard deviation are all zero.
For more details regarding standard deviation, visit:
https://brainly.com/question/23907081
#SPJ7
Please help me fast!!! Kevin made chili for a football party. He started making the chili at 1:00 P.M. It took 45 minutes to prepare and assemble the ingredients. Then, the chili had to simmer for 45 minutes. What time was the chili ready?
Include A.M. or P.M. in your answer.
Answers
Answer:
It was ready at 2:30 pm :)
Two stores sell a certain product. Store A has 45% of the sales, 3% of which are of defective items, and store B has 55% of the sales, 4% of which are of defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives one of this product as a gift. What is the probability it is defective
Answers
Answer:
[tex]Probability = 0.0355[/tex]
Step-by-step explanation:
Given
Stot A:
[tex]Sales = 45\%[/tex]
Defective = 3%
Store B
[tex]Sales = 55\%[/tex]
Defective = 4%
Required
Determine the probability a product received is defective.
First, we calculate the probability that the defective product is from store A
[tex]Probability = P(Sales) * P(Defective)[/tex]
[tex]P_A = 45\% * 3\%[/tex]
Convert to decimals
[tex]P_A= 0.45 * 0.03[/tex]
[tex]P_A= 0.0135[/tex]
Next, we calculate the probability that the defective product is from store B
[tex]P_B= 55\% * 4\%[/tex]
[tex]P_B= 0.55 * 0.04[/tex]
[tex]P_B= 0.022[/tex]
The product may come from either stores.
So, the probability of having a defective product is:
[tex]Probability = P_A + P_B[/tex]
[tex]Probability = 0.0135 + 0.022[/tex]
[tex]Probability = 0.0355[/tex]
Answer:
Probability of 0.0355
Step-by-step explanation:
Just need answer no explanation
Answers
Answer:
I have no idea, sorry
Step-by-step explanation:
Can someone help and explain this question please thank you so much I appreciate
Answers
Answer:
$176.23
Step-by-step explanation:
(13x12)+(0.07x289)=
156+20.23=
$176.23
The logarithmic property
[tex] log_{b}(m) - log_{b}(n) [/tex]
=
[tex] log_{b}( \frac{m}{n} ) [/tex]
can be proven by using which exponential property.
Answers
Answer:
using divisional law of indices logab-logan=log(b/n)therefore logbM-logbN=logb(M/N)
3/8 x 4/9? Plz help I’m doing a test lol
Answers
Answer: 0.16666666666
The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 hours?
A
22°F
B
7°F
С
-2°F
D
-12°F
Answers
Answer:
The temperature in 4 hours = -2 °F
Thus, option (D) is true.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the rate of change or slope and b is the y-intercept
Let 'y' be the temperature Let 'x' be the time of the temperature in the hour
Given that the current temperature outside = 10°F.
Thus, the y-intercept = b = 10°F
Given that as the day went on, It will fall at a constant rate of 3°F per hour.
Thus, the slope or rate of change = -3°F
(The rate of change or slope is -3 because the temperature is reducing)
Thus, the rate of change = slope = m = -3
Thus, substituting m = -3 and b = 10 in the equation
[tex]y = mx+b[/tex]
[tex]y = -3x + 10[/tex]
Now, substituting x = 4 to determine the temperature after 4 hours.
y = -3(4) + 10
y = -12 + 12
y = -2 °F
Therefore, the temperature in 4 hours = -2 °F
Thus, option (D) is true.
Using the Zero Product Property identify the solution set for (x + 3) (x + 8) = 0
a. -3, 8
b. -3, -8
c. 3, 8
d. 3, -8
Answers
Need help ASAP!!!
Please helppp
Answers
If the homogeneity of variance assumption is violated in an independent groups t test, this means _________. the populations from which the samples were drawn have different standard deviations you should use the sign test the sample sizes should be equal and N greater than 30 to use the t test the populations from which the samples were drawn have different standard deviations and the sample sizes should be equal and N greater than 30 to use the t test
Answers
Answer:
the populations from which the samples were drawn have different standard deviations
Step-by-step explanation:
Given that the assumption of homogeneity of variance is the same as the assumption of the independent samples t-test which asserted that all comparison groups possess the same variance
Therefore, if the homogeneity of variance assumption is violated in an independent groups t-test, this means "the populations from which the samples were drawn have different standard deviations."
what is the slooe of the following equation y =-×+1
Answers
Answer:
-1
Step-by-step explanation:
slope is always the coeffcient* the number beside the variable
The chart below shows the rabbit and fox populations in boxerville over the last year. In which month was the rabbit population smallest?
Answers
Answer:
It is C. May
Step-by-step explanation:
Hope this helped have an amazing day!
In the month of may the rabbit population is smallest, option C is correct.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A bar graph is the representation of numerical data by rectangles of equal width and varying height.
In the given chart the red bars shows the population of rabbits
the blue bar shows the population of the fox
From the given graph we have to find the month where the rabbit population is smallest.
The red bar is smaller in the month of may which represents that the population is small.
Hence, in the month of may the rabbit population is smallest.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7