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
Frank wants to eliminate the variable y from
the system below by adding.
(7x - y = 8
12x + 2y = 6
First, he will have to multiply one of the
equations by a number. Which step will enable
him to eliminate y by adding?
Multiply each term in 2x +2y=6 by 3.
Multiply each term in 7x - y = 8 by-3.
ОА
OB
Multiply each term in 2x + 2y = 6 by-3.
Multiply each term in 7x - y = 8 by 3
07:23
Answers
Answer:
84 x is your answer right answer right
find the sum −10t−7−10t−7
Answers
Answer:
-20t-14
Step-by-step explanation:
-10t-10t= -20t
-7-7= -14
Trapezoid ABCD has an area of 57. BC = 7 and AD = 12. What is the height of the trapezoid?
Answers
Answer:
Step-by-step explanation:
57x2/(12+7)=6
¿entre las fracciones 33/96 y 34/96 podrían encontrarse más números fraccionarios? ¿ cuántos?
Answers
help it's due todayyyyy
Answers
Answer:
yes
Step-by-step explanation:
I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?
3 over 7, 2 over 5, 3 over 4, 2 over 9
2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9
Answers
Answer:
2/9 = 0.2 repeating
3/7 = 0.428571 repeating
Step-by-step explanation:
Can someone help me with this math question plz i will appreciate it. So this is the question: some of the methods you can use to add or subtract are?.
Answers
Answer:
add: jump strategy, adding up to ten, do the tens last, compensation method, double when the numbers are the same, count from a number upwards
Subtract: take away, minus decrease, leave, how many are left over, difference between, half/halve
Step-by-step explanation:
how many 1/5s are in 20?
Answers
Answer:
There are 4
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Dwayne's garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft, how long is each side?
Which equation represents this?
2x = 49
2x + 4 = 49
3x = 49
3x + 4 = 49
Answers
Answer:
2x = 49
=x=24.5
if 2x + 4=49
49-4/2=x
x=22.5
if 3x + 4 =49
x=45/3=15
3x + 4 belongs it
15+4is 19
Answer:
2x = 49
=x=24.5
if 2x + 4=49
49-4/2=x
x=22.5
if 3x + 4 =49
x=45/3=15
3x + 4 belongs it
15+4is 19
Please help ten points
Answers
B=55 degrees
C=25 degrees
5(x+2) = 20
15 points
Answers
Answer:
Step-by-step explanation:
remove the parenthesis
5x+10=20
5x+10-10=20-10
5x=10
x=2
Maggie wants to make a special card for Valentine’s Day. She starts with a
square piece of red paper with a side length of 12 cm. She then pastes two white
semi-circles, each with radius 3 cm, and a white triangle onto the square sheet of
red paper, as shown below. Determine the total amount of area available in the white region for Maggie’s special valentine greeting.
Answers
Answer:
I don't know
Step-by-step explanation:
I tried to search it up to get it correct but all it showed me was useless websites that didn't give me the answer
OFFERING BRAINLIEST !! Using the formula, compute the true annual interest rate to the nearest tenth.
[tex]Interest (I) = \frac{2yc}{m(n+1)}[/tex]
Loan amount = $9,500
Monthly payments = $227.50
Time of loan contract = 5 years
Interest rate = ____%
Answers
Answer:
Step-by-step explanation:
5x12=60
(227.5x5x120)=13650
13650-9500=4150
apply formula
(2x12x4150)/((13650(60+1))=0.1196
0.1196x100=11.96% 0r 12%
Answer:
17.2%
Step-by-step explanation:
given that:
y = 12 months
m = $9,500
n = 60 (because five years is 60 months)
c = (n * $227.50) - m
= (60 * $227.50) - $9,500
c = 4,150
and now, to substitute the following to the equation:
[tex]\frac{2(12)(4,150)}{9,500(61)} *100[/tex] = 17.2%
I need help with this ASAP
Answers
Answer:
37.68
Step-by-step explanation:
I need help on this.. And I will give you a BRANILIST if you the first one with the right answer
Answers
Answer:
0.1
Step-by-step explanation:
(9,4) (5,1) [tex]\frac{y_{2} y_{1} }{x_{2} x_{1} }[/tex], plug in the numbers, [tex]\frac{(1)(4)}{(5)(9)}[/tex]= [tex]\frac{4}{40} or \frac{1}{10}[/tex], to write it as a decimal, you divide the numerator by the denominator, 0.1
Can any one help me on this question ?
Answers
Answer:
70°
Step-by-step explanation:
2x +x + 80° + 70° = 360° { being sum of angles of quadrilateral }
3x + 150° = 360°
3x = 360° - 150°
3x = 210°
x = 70°
Hope it will help :)
Answer:
70
Step-by-step explanation:
Since sum of all angles in a quadrilateral is 360°
angle P+ angle Q + angle R + angle S= 360°
80+70+x+2x=360
3x= 360-150
3x = 210
x = 210/3
x= 70
can someone help me with these 2 answersss
Answers
Answer:
1. -12
2. 8
Step-by-step explanation:
We are given two equations, both with meanings of variables, making my job a little bit easier wink wink.
Let's start with 5x + 3 when x = -3
Substitute :
5(-3) + 3
-15 + 3
-12
Onto the next :
2x - 4 if x = 6
2(6) - 4
12 - 4
8
PLZ HELP ill mark brainlist
Answers
Answer:
x is 60 and y is 50
hope it helped have a good day mate
35 points!!! Help!! Make sure u answer all!!!
Answers
Answer:
Expression for Perimeter: 6x + 6
x = 12 cm
Verify A = 360:
2(12) x (12+3) = 360
24 x 15 = 360
360 = 360
Step-by-step explanation:
5. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!
Write a rule for the linear function in the table.
X F(x)
0 3
3 15
6 27
9 39
A. f (x) = 1/4x + 3
B. f (x) = 4x + 3
C. f (x) = x + 3
D. f (x) = -4x - 3
Answers
Answer:
i can't find the answer
Step-by-step explanation:
Solve: -3k(1-6k)=6k+21
Answers
Answer: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
k
=
3
+
√
177
12
,
3
−
√
177
12
Decimal Form:
k
=
1.35867789
…
,
−
0.85867789
…
Step-by-step explanation
If y = 3x - 5 and x = 3y - 5, then what are x and y?
Answers
Answer:
2?
Step-by-step explanation:
Answer:
x nang iwan at y naman ganon
Can somebody pls help me with problems 16 and 17? I’m in a rush...thx
Answers
Question 17 = No
Susan Marciano invested part of her $27,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,590.
Answers
Suppose that a desk and a chair together weigh at most 55 pounds. The weight of the chair is 17 pounds. Which inequality correctly describes these conditions for the weigh of the desk, d?
Answers
Answer:
The answer will be C
Step-by-step explanation:
Harry and his family travel 204 miles in 3.4 hours. If they continue at this constant speed, how long will it take them to travel 420 miles?
Answers
Answe
7
Step-by-step explanation:
204 dived by 3.5
i did 204 dived by 60 then
420 dived by 60
The time taken by the family to reach is T = 7 hours
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed be represented as S
Now , the value of S is
S = D / T
speed = distance / time = 204 miles / 3.4 hours = 60 miles per hour
where , the distance D = 420 miles
And , T = 420 / 60
T = 7 hours
Hence , the time taken for 420 miles is 7 hours
To learn more about speed click :
https://brainly.com/question/19930939
#SPJ3
Yep here we go again:
The x-axis represents the number of hours before or afternoon, and the y-axis represents the temperature in degrees Celsius.
At 9 a.m., it was below freezing. In what quadrant would this point be plotted? Use Roman Numerals in your answer: Either I, II, III, or IV
At 11 a.m., it was 10 degrees Celsius. In what quadrant would this point be plotted?
Here is the image T ^ T ( I will also give brainliest!)
Answers
Answer:
9 am it will be IV quadrant
11 it will be I quadrant
hope it helps u
If at 9 a.m. the temperature was below freezing, which means below 0 degrees Celsius, then the point would be plotted in the third quadrant (III).
What is coordinate plane?The coordinate plane has four quadrants, which are numbered using Roman numerals I, II, III, and IV, and they are separated by the x-axis and y-axis.
In this case, the temperature was below freezing at 9 a.m., which means it was less than 0 degrees Celsius.
The point would be plotted in the third quadrant (III), where the x-value is negative and the y-value is negative, because the x-axis represents the time in hours before noon and the temperature is negative.
At 11 a.m., however, the temperature was 10 degrees Celsius, which is a positive value.
Thus, the point would be plotted in the first quadrant (I), where both the x-value and the y-value are positive, because the x-axis represents the time in hours before noon and the temperature is positive.
For more details regarding coordinate plane, visit:
https://brainly.com/question/13611766
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The Value that you insert into a function is know as the?
Answers
Answer:
Step-by-step explanation:
Most commonly, that value would be the "independent variable."
We evaluate the function at that particular value of the independent variable.
Kirk is getting a raise of 5% due to inflation. His normal salary is $56,000 per year. Which of the following calculations gives Kirk's new salary, in dollars? A. 56,000 +5 B. 56,000 + 56,000(0.05) C. 56,000 + 56,000(0.50) D. 56,000 + 56,000(5) E. 56,000(.05)
Answers
Answer:
The answer is B. 56,000 + 56,000(0.05) because 5% or expressed in decimals 0.05 multiplied by the quantity 56,000 gives us 5% of Kirk's normal salary and added to his normal salary will give us his new salary.
(His new salary is 58,800 and 5% of his normal salary is 2,800)
Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. She used the simple interest formula to find the interest.
I = 600(7)(2)
What error did Juanita make and how will her error affect the interest she calculates? Explain
{_____________________________
whoever does best get brainliest
Answers
Answer:
The correct formula should be I= 600(0.07)(2). Juanita made a very common error, she didn't put the percentage of interest in decimal form; or she didn't put the percent sign on it so we know to put it in decimal form. Her error will make a big difference; with using her calculations the answer would be $8,400. With the correct formula the answer is $84.
Hope this help! :)
Given :-
Juanita borrowed $600 .Rate of Interest = 7% .Time = 2yrs .To find :-
Error made by her.Answer :-
As we know that the formula for Simple interest is ,
SI = P*R*T / 100Substitute ,
I $600* 7 * 2 / 100 I = $ 84 .So here she did not write 7 % as 7/100 instead she wrote 7 .