Answers
Your teacher didn't pick the most simple way to do this problem, the steps your teacher gave is confusing. Using the same concept, I am going to do this my way then I will show a different method.
3x^2+24x+9=0
x^2+8x+3=0
x^2+8x+16+3=16
(x+4)^2=13
x+4=±[tex]\sqrt13[/tex]
x=-4±[tex]\sqrt13[/tex]
This is how you are suppose to solve it with completing the square and all the steps, to fill your teacher's blank you will have to go from my answer to how your teacher want you to write it.
*Now I am going to show you a way to solve this with the quadratic formula.
I am going to use the main formula because its more clear although the even formula is easier for this question.
3x^2+24x+9=0
x=(-24±[tex]\sqrt{24^2-4*3*9}[/tex])/2*3
x=(-24±[tex]\sqrt{576-108}[/tex])/6
x=(-24±[tex]\sqrt{468}[/tex])/6
since 468 is a multiple of 36
x=(-24±6[tex]\sqrt{13[/tex])/6
x=-4±[tex]\sqrt{13}[/tex]
This bottom way is really good if you can calculate quickly, with a lot of practice this way is much better for solving quadratic equations that cannot be factored.
Related Questions
PLEASE HELP ME ON THIS PROBLEM
Answers
Answer:
DB!
Step-by-step explanation:
a) [tex](x+50)^{2} = x^{2} +100x+2500[/tex]
b) Plug the value in! [tex](15+50)^{2} = 65^{2} = 4225[/tex]
Hope I helped! Check out my profile for more answers!
The winning times for a race are shown in the table.
Which answer describes the rate of change from year 2 to year 4?
- The winning time increased by an average of 0.267 second per year from year 2 to year 4.
- The winning time increased by an average of 0.8 second per year from year 2 to year 4.
- The winning time increased by an average of 0.4 second per year from year 2 to year 4.
- The winning time increased by an average of 0.475 second per year from year 2 to year 4.
Answers
Answer: The winning time increased by an average of 0.4 second per year from year 2 to year 4.
The winning time for a race displayed in the table would be:
C). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Find the increase in winning time:
Given that,
Year Winning Time(seconds)
1 27.5
2 28.4
3 28.7
4 29.2
5 29.44
Hence, The total change in the time is,
= (0. + 0.3 + 0.5 + 0.24)/4
= 0.485 seconds
Now, If we round off, it becomes 0.5 seconds.
Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.
Thus, ''Option C'' is the correct answer.
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(b) A circle has radius 26 cm and length of its chord is 48 cm. Find how far is the
chord from the centre of the circle?
Answers
Answer:
22cm
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please help
How are transformations related to congruence?
Answers
Answer:
Congruence transformations
transformations that are performed on an object that can create a congruent object
Plsss help me ASAP plss
Answers
Answer: x gte -6 if not try -6 lte x
Step-by-step explanation:
Simplify the expression 3.3 - 5.5n - 4n + 6 =
Answers
Answer:
Hello! have a good day!
−9.5n + 9.3
Answer:
Our answer would be 9.3-9.5n!
Step-by-step explanation:
My explanation is that:
Add : 3.3 and 6
-5.5n-4n+9.3
then subtract 4n from -5.5n
-9.5n+9.3 would be our answer!
write an equation that has the solution of X equals Y
Answers
Answer:
Step-by-step explanation:
The system of equations x + y = 1 and x – y = 2 has the unique solution x = 1 and y = –1.
There are infinite pairs of system of equations which have the unique solution x = 1 and y = –1.
Hope this information will clear your doubts about the topic.
Lines a and b are horizontal and parallel to each other. Line a contains points L and M and line b contains points O and N. Line c is diagonal and intersects line a at point X and line b and point Z. It also contains points H and G. Line d is diagonal and intersects line a at point X and line b at point Y. It also contains points J and K. Triangle X Y Z is created by the lines. Which represents an exterior angle of triangle XYZ? ∠LXZ ∠JXM ∠JXZ ∠HXJ
Answers
Answer:
The exterior angle of triangle XYZ is;
∠JXM
Step-by-step explanation:
The question is a word problem with the given parameters;
The points on line 'a' = L and M
The points on line 'b' = O and N
The point line 'c' intersect line 'a' = X
The point line 'c' intersect line 'b' = Z
The points on line 'c' = H and G
The point line 'd' intersect line 'a' = X
The point line 'd' intersect line 'b' = Y
The points on line 'd' = J and K
From the drawing of triangle XYZ created with Microsoft Visio, the exterior angle is ∠JXM
Answer:
Step-by-step explanation:
the answer is JXZ
Help!!! Please HELP!!!
Answers
Answer:
D
Step-by-step explanation:
that's where they cross
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
2, 11, 20, ...
Answers
Answer:
arithmetic, 9, 1.8181818181818
Step-by-step explanation:
it is arithmetic, because it is adding by 9 every time.
I don't know what they mean by simplist form, but thats what 20/11 equals.
Answer:
yes yes wainth inde Windows
10 points
8. The ring system around Saturn has a diameter of 170,000 miles. Find
the circumference around the ring system, to the nearest whole number.
If Saturn diameter is 72,367 miles. What is the area of Saturn to the
nearest Whole number? *
Answers
Here is a polygon. Use the scale factor of 1/2 determine the new side length for A *
Answers
Answer:
i need to see the polygon my guy
Step-by-step explanation:
Which expression is equivalent to 3x/x+1 divided by x + 1?
Answers
Answer:3x+4/x+1
Step-by-step explanation:
Write a percent proportion for the bar diagram
shown.
Answers
Answer:
If 68% is 17 then 100 percent is 25 I think
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
68% = 17
100% = 25
The percent proportion for the bar diagrams are:
17and 25.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
There are two bar diagrams.
Blue bar diagram:
68% = 17
Red bar diagram:
68% = 17
Multiply both sides by 100/68.
100% = 100/68 x 17
100% = 25
Thus,
68% = 17
100% = 25
The percent proportion for the bar diagrams are:
17and 25.
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On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any additional deposits or withdrawals since then, and if the interest rate has stayed the same, in what year did his balance hit $2300, according to the rule of 72? A. 1993 B. 1992 C. 1994 D. 1991
Answers
In 1993 year his balance will hit $2300.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, is the formula for compound interest.
Given, On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly.
Here the given amount = $1150
Amount after getting compound interest in this amount = $ 2300
Since, $2300 is double to the amount $1150
According to the rule of 72, an amount is doubled if the product of annual rate and period (in years) is equal to 72. Also, with the help of this rule we get the approximate value of rate or time.
Since, Here the annual rate of interest = 9.6%
Let the given amount $1150 is doubled ($2300) in t years.
The, 9.6 × t = 72
⇒ t = 72/9.6 = 7.5
Since he deposited money on April 1 1986,
Thus, Her amount be $2300 on 1993
Therefore, In 1993 year his balance will hit $2300.
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Find the value of x.
A. 90
B. 70
C. 20
D. 50
Answers
Answer: B. 70
Step-by-step explanation:
i actually can't tell but i think this is right
write a polynomial function with zeros -3,5,8
Answers
Answer:
x^3-10x^2+x+120
Step-by-step explanation:
Assuming you mean roots -3, 5, 8
These happen when we have (x+3)(x-5)(x-8)=0
Expand this
(x^2-2x-15)(x-8)=0
=x^3-2x^2-15x-8x^2+16x+120
=x^3-10x^2+x+120
A map has a scale factor of 0.25 inch : 50 miles. On the map, the distance of a river is 2.5 inches. What is the actual distance of the river?
Answers
Answer:
105 Miles po Sana makatutulong
Two friends have recently graduated from college and are now looking for jobs. They are debating which type of job is better: hourly or salary. One hourly position that pays $18 an hour, with time-and-a-half pay for overtime. One salary position for the same type of job pays $38,000, does not pay for overtime. If employees work exactly 40 hours per week, which job has a higher hourly rate? How can we calculate this? Describe (compare) how these two different hourly rates would look when graphed as a line. When interviewing for the salaried job, the friends learn that they may have to work about 10 hours of overtime each week. Explain why this math is crucial to determining which job pays more.
Answers
Answer: This is a CRQ so you will want to answer using R.A.C.E
Step-by-step explanation:
First, restate the question: "If employees work exactly 40 hours the job with the higher pay rate is..."
Now let's figure it out who gets paid more. The hourly employee gets $18 per hour, for 40 hours each week... 18 times 40. That's $720 for each week.
But they don't work for just one week, they have to work the whole year! So that's 52 weeks. Take the $720 and multiply by 52 weeks.
Now you have the total for how much hourly guy will make in a whole year.
Compare this number with the salary guy who is making $38,000 per year. Which person get's paid more? Hourly or Salary? Don't forget to include your calculations!
.............................................................................
Next part of the question: "When graphed as a line..." This part of the question you do not have to do because we did not cover slope of a line yet. (Hi, I'm your math teacher by the way lol)
.............................................................................
Next part of the question adds 10 hours of overtime to their work week. This changes everything! Remember, the salary guy gets $38,000 every year, no matter how many hours of overtime he works.
However, the hourly guy gets extra money for these extra hours! For overtime, the hourly employee gets "time and a half" pay whenever he has to work extra time. This means he gets his original $18 per hour, AND now also gets half of that ($9 per hour) ... which adds up to a whopping $27 per hour for overtime (nice!)
Hourly guy works 10 extra hours per week, at $27 per hour. Multiply that and you get $270 per week. Remember, 52 weeks per year, so now take the $270 and multiply by 52 weeks. This gives you the total amount of overtime money hourly guy makes.
Combine his overtime money with his regular money (the first thing we did at the start of this problem) to get his new grand total for the year.
Salary guy still makes $38,000 per year. So now that they work overtime... who gets paid more?
Remember to answer in R.A.C.E format. Restate your question, Answer all parts of the question, Cite a math term/definition/concept that supports your answer (maybe use "hourly rate" or "salary"), and Explain your steps and thinking.
Good luck! send me an email for more help.
Mrs. B
y=8x+b
8 x 2+76=92
What is the solution to the system of equations?
Answers
Answer:
31. 3-(4+7)/8 33. 2/(3+x)-x*y^2. 35. 3.1x^ 3-4x^(-2)-60/(x^2-1) 37. (2/3)/5. 39. ... 31. a. x(2 + 3x) b. x = 0, −2/3 33. a. ... No; the associated system of equations still.
Find a coterminal angle to 626 degrees
Answers
Answer:
266
Step-by-step explanation:
I NEED HELP WITH THISSSSSSSS!!!!!!
Answers
Answer:
The answers should be:
LRS = 137.5
NRS = 42.5
QRN = 137.5
MNR = 42.5
RNP = 137.5
KNP = 42.5
MNK = 137.5
Step-by-step explanation:
180 - 42.5 = 137.5
Answer:
ok this is going to be kinda confusing but here:
angle lrs: 137.5
angle nrs:42.5
angle nrq:137.5
angle knp:42.5
angle rnm: 42.5
angle mnk: 137.5
angle pnr: 137.5
Step-by-step explanation:
basically everything is either 137.5 or 42.5
Please I need the answer ASAP
Answers
Answer:
option C is correct answer of this question
Answer:
the answer is c 2 teaspoons
Step-by-step explanation:
if you divide 84 by 21 you would get 4. then you multiply 1/2 by 4 and get 2 teaspoons.
Enola is a waitress at a restaurant. Each day she works, Enola will make a guaranteed wage of $35, however the additional amount that Enola earns from tips depends on the number of tables she waits on that day. From past experiences, Enola noticed that she will get about $8 in tips for each table she waits on. How much would Enola expect to earn in a day on which she waits on 20 tables? How much expect to make in a day when waiting on t tables?
Answers
Answer:
1. 195
2. Y= 8t +35
Step-by-step explanation:
Answer:
$195; y=8t+35
Step-by-step explanation:
You can make an equation to find out how much Enola earns a day:
y=8t+35 ––This shows that "y" is the earnings for the day, "8t" represents $8 per table, and the "+35" represents the guarenteed $35 a day.
To answer the first question, the replace t with 20: y=8(20)+35
y=160+35
y=195
*For the second answer, I would put the equation because you do not know the number of tables because it is unspecified.
***You can change the "y" to whatever if you need to
5.please help this is timed
Answers
Answer:
A
Step-by-step explanation:
Answer:
D. (4,-1)
Step-by-step explanation:
So, we have these two equations:
2x + y = 7
x - 2y = 6
Isolate x in the second equation:
x = 2y + 6
Substitute it into the first equation:
2(2y + 6) + y = 7
4y + 12 + y = 7
5y + 12 = 7
5y = -5
y = -1
Plug y back into the second equation:
x - 2(-1) = 6
x + 2 = 6
x = 4
So, the correct answer is D. (4,-1)
Hope this helps!!
- Kay :)
The circumference of a circle is 5 feet. What is the area?
Give the exact answer in simplest form.
Answers
Answer:
We have the formula for the area of a circle: S = R² x [tex]\pi[/tex]
=> S = 5² x 3.14 = 78.5 f²
Step-by-step explanation:
Solve the expression:
14. What is 3y +4; when y=2
15. What is 4x + x-10; whenx=6
ASAP pls
Answers
Answer:
3*2+4=6+4=10 and 4*6+6-10=24+6-10=30-10=30
please help me and thank you
Answers
Hope this helps
What is the y intercept and slope??
Answers
Answer:
y = .5x+30
Step-by-step explanation:
[tex]m= \frac{y2-y1}{x2-x1}[/tex]
hope this helps, good luck :)
:) lol
lollololol
:):):):):):):)
Answers
Answer:
32 m^2
Step-by-step explanation:
First find the volume of the bottom section
V = l * w*h
V = 6 * 2 * 2 = 24 m^2
Then find the volume of the top section in green
The length is 6-4 =2, the height is 4-2, width is 2
V = = l*w*h = 2*2*2 = 8
Ad the volumes together
V = 24+8 = 32 m^2
Answer:
thanks for the points back
Step-by-step explanation:
