Answers
Hi,
x² + 8x + 12 = 0
a= 1 ; b= 8 c= 12
∆ = b² - 4ac
∆ = 8² - 4*1*12
∆ = 64 - 4*12
∆ = 64 - 48
∆ = 16
∆>0 :
x1 = (-b-√∆)/2a = (-8-4)/2 = -12/2 = -6
x2 = (-b+√∆)/2a = (-8+4)/2 = -4/2 = -2
S= { -6 ; -2 }
x = -6
or x = -2
✅(•‿•)
Answer:
x = -6 x = -2Step-by-step explanation:
x² + 8x + 12 = 0
➺ x² + 2x + 6x = 0
➺ x(x + 2) + 6(x + 2) =0
➺ (x + 6)(x + 2) = 0
Whether, x + 6 = 0
⠀⠀⠀⠀⠀➺ x = -6
⠀⠀or,⠀⠀⠀⠀ x + 2 = 0
⠀⠀⠀⠀⠀⠀➺ x = -2
Related Questions
The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.
Answers
Answer:
d = 7
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Give a₁₀ = 67 and a₁ = 4 , then
a₁ + 9d = 67
4 + 9d = 67 ( subtract 4 from both sides )
9d = 63 ( divide both sides by 9 )
d = 7
sum out war world 1 in a very short summary
Answers
Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.
Hope that helps
Explain how I got this wrong please
Answers
Answer:
x = 9
Step-by-step explanation:
Each angle equals 60 since it is an equilateral triangle
7x-3 = 60
add 3
7x = 63
divide by seven on both sides
x = 9
I hope this helps!!
Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 months
Answers
Answer:
$49.297
Step-by-step explanation:
21.5% x 3
divide answer by $76.43
leaves you with how much interest you have earned in 3 months.
what is the sqare root of 12
Answers
Answer:
3.46 but if you simplify it is 3.5
Step-by-step explanation:
Answer:
3.46410161514
Step-by-step explanation:
The sum of -14 and a number is positive. Identify a possible value for that number
Explain your selection
Answers
Answer:
15
Step-by-step explanation:
Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.
ASAP
answer this please
as percentages
Answers
Answer:
Step-by-step explanation:
5/6= 83.33%
9/11= 81.81%
1 3/7= 142.85%
Answer:
(x) 83.(3)%
(xi) 81.(81)%
(xii) 142.(857142)%
Step-by-step explanation:
The thing to do is perform the division and write it as percentages.
Please note that all 3 of those are infinite fractions, so
83.(3) means 83.33333333333333333...
81.(81) means 81.8181818181818181...
142.(857142) means 142.857142857142857142857142857142...
If you wanted to round to nearest % or something, you can do that.
Eg. rounding to 2 places after the period:
83.(3)% ~= 83.33%
81.(81)% ~= 81.82%
142.(857142)% ~= 142.86%
find the vertices of the image after the given transformation (x,y)—> (2x, 1/3y)
Answers
Answer:
Step-by-step explanation:
A( - 1 , - 3 ) ------> A' ( - 2 , - 1 )
B( 4 , - 3 ) ------> B' ( 8 , - 1 )
C( 4 , 3 ) ------> C' ( 8 , 1 )
D ( - 1 , 3 ) ------> D' ( - 2 , 1 )
what is the equation of a line that passes through the points (0,0) and (5,2)
Answers
Answer:
y = 2/5x
Step-by-step explanation:
in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:
y = mx + 0
in order to find the slope, we'll do y2-y1 / x2 - x1:
2-0
5-0
m is 2/5, so the answer is:
y = 2/5x
3.8 : (4c+3) = 2 : 2/19I’d appreciate itCorrect answer will be named brainlist
Answers
Answer:
c = -0.7
Step-by-step explanation:
It looks like you have the proportion ...
[tex]\dfrac{3.8}{4c+3}=\dfrac{2}{\left(\dfrac{2}{19}\right)}\\\\0.4=2(4c+3)\qquad\text{cross multiply}\\\\0.4=8c+6\qquad\text{eliminate parentheses}\\\\-5.6=8c\qquad\text{subtract 6}\\\\\boxed{c=-0.7}\qquad\text{divide by 8}[/tex]
Answer:
c = -0.7
Step-by-step explanation:
[tex]\rm⇢ \: \: \frac{3.8}{(4c + 3)} = \frac{2}{( \frac{2}{19} )} [/tex]
[tex]\rm⇢ \: \: 2(4c + 3) = 3.8( \frac{2}{19} )[/tex]
[tex]\rm⇢ \: \: 8c + 6 = 0.4[/tex]
[tex]\rm⇢ \: \: 8c = - 5.6[/tex]
[tex]\rm⇢ \: \: c = - 0.7[/tex]
Expand the following expressions and write in standard form. Show your work.
a) (3x + 2)(1 - 4x)
b) (x - 5)^2(2x + 7)
Answers
Help, this question is confusing me
Answers
Answer: They are all equations except c, which is a formula.
Step-by-step explanation:
generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19
what value should be placed in the second column for the range 6-10?
a. 2
b. 3
c. 5
d. 1
Answers
Answer:
D: 1
Step-by-step explanation:
There's only one number there between 6-10.
someone pls help me!!!!
Answers
Answer:
-2
Step-by-step explanation:
The interval [-6. -4] refers to x values.
At x = -6, in the line in the middle of -4 and -8, y = 0 at the x axis
At x = -4, y = -4. We know this because when the function crosses x = -4, y = -4 at that point.
The average rate of change is equal to (change in y)/ (change in x) = (yfinal - yinitial) / (xfinal - xinitial) (or the other way around in terms of final and initial)
= (-4 - 0) / (-4 - (-6)) = -4 / (-4 + 6) = -4/2 = -2
PLEASE HELP ASAP I NEED ANSWER IN LESS THAN 9 HOURS
Answers
Answer:
I dont really know if this is right, but for 5, y=5. I don't know what 6 is. Sorry.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle shown.
square units
Reset
Next
Plz help
Answers
Step-by-step explanation:
the area of a triangle is baseline × height / 2.
now, we need to count the units : how long is the baseline, he long is the height from the baseline to the top vertex ?
I find the baseline is 14 units long.
the height is 7 units.
so, the area is
14×7/2 = 7×7 = 49 square units.
Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1) O. f(x) = (x + 5) * (x + 1) ^ 2 * (x - 1) D. f(x) = (x - 5) * (x - 1) ^ 2 * (x - 1)
Answers
The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
From the graph, we have the following highlights
The graph crosses the x-axis at x = -1 and x = 3The graph touches the x-axis at x = -2The above highlights mean that:
The function has a multiplicity of 1 at x = -1 and x = 3The function has a multiplicity of 2 at x = -2So, the function of the polynomial is:
[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]
Assume a = 1.
So, we have:
[tex]f(x) =1(x + 2)^2(x + 1)(x - 3)[/tex]
Multiply
[tex]f(x) =(x + 2)^2(x + 1)(x - 3)[/tex]
Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
Read more about polynomial graphs at:
https://brainly.com/question/8878887
Give me answer plz !!!
Answers
Answer:
c.-2.5 ,because[2.5]=2.5
Step-by-step explanation:
I hop this is fine
Answer:
B part
Step-by-step explanation:
2.5 because |2.5| = 2.5 and it's never negative.
Hope it helps :)
Describe fully the single transformation which takes shape A to shape B
Answers
Answer:
Translation down by 1 then reflection over Y axis.
Step-by-step explanation:
13. Xander and Kennedy have a bet to see who can get more "friends" on a social media side after 1 month. Kennedy
has 11 more friends than Xander when they start the competition. After much work, Kennedy doubles her amount
of friends and Xander quadruples (4 times) his. In the end they have a total of 232 friends.
Answers
Answer:
Xander has 140 friends
Kennedy has 92 friends
Step-by-step explanation:
Let x represent # of friends Xander has at the start
Let x+11 represent # of friends Kennedy has at the start
Let 2(x+11) rep. the final # of friends Kennedy has
Let 4x rep. the final # of friends Xander has
Total = 232
So we just need to solve for x:
2(x+11) + 4x = 232
2x + 22 + 4x = 232
6x = 210
x = 35 < - This means that xander started with 4 friends.
Sub x to find friends for each:
4x = ?
4(35) = 140 friends
2(x+11) = ?
2(35+11) = 92
How would you graph the solution set of x - 2 > 5?
Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.
Answers
open circle on 7 shaded to the right
ingrid have the store clerk 70 dollars to pay for her purchase. Find the expression that represents the amount of change ingrid will get back. x - 70, 70/x, 70 - x, 70 + x
Answers
Answer:
70-x
Step-by-step explanation:
The expression which represents the change that Ingrid will get back for purchasing for $x will be 70 - x thus option (C) is correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given,
Amount of money that Ingrid have = $70
Amount of money Ingrid purchased = $x
Change back = 70 - x
Hence "The equation that describes the change Ingrid will receive for spending $x is 70 - x".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
Plzzzzz helpnmeeee plzzzz
Answers
I'm having trouble. Can someone answer?
Answers
Answer:
okay wait
Step-by-step explanation:
!BRAINLIST!
Sebastian works as a conservation scientist. His current project involves calculating how many times an oyster bed can be harvested safely in one year. One task Sebastian might do to complete his project is:
A.
travel deep underground to take soil samples in a mine.
B.
meet with large cereal companies to take test the safety of their products.
C.
collect soil and water samples in a bay.
D.
climb into an attic to inspect for termite damage.
Answers
Answer:
meet with large cereal companies to take test the safety of their products.
Step-by-step explanation:
Diving by himself into deep sea may be harmful.Cereal companies are trained and experienced in it They can easily help him to observe the oysters deep under the sea.60 Point Question Answer ASAP! Brainliest to best/first answer
Answers
Step-by-step explanation:
the change rate between the data points gives us the print rate.
so,
(f(x2) - f(x1)) / (x2 - x1)
starting with x1 = 10 and x2 = 15 we see
(133 - 98) / (15 - 10) = 35/5 = 7
that means he is printing 7 pages per minute.
we see that we have the same difference (35 prints) for every following 5-minute interval.
so, that is the confirmed print rate.
and yes, the amount is increasing, of course.
after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.
so, he started with 98-70 = 28 flyers before actually printing new ones.
What are the amounts of interest and maturity value of a loan for ₱180,000 at 5 % *
1 point
A. Is = ₱18,000 ; F= ₱198,000
B. Is = ₱27,000 ; F= ₱207,000
C. Is = ₱36,000 ; F= ₱216,000
D. Is = ₱45,000 ; F= ₱227,000
Answers
Answer:
CHOPE IT HELPS YOU BRAINLIEST
The Raitio of 20:360
Answers
Answer:
If you need it as a fraction then it is 1/18
Step-by-step explanation:
I need to solve for G in the following equation
Answers
2G-N=T
+N +N
2G=T+N
-divide both sides by 2
G=T+N /2
6x+a= 5(x+f) make x subject
Answers
Answer:
x = 5f - a
Step-by-step explanation:
6x + a = 5(x + f)
6x + a = 5x + 5f
x = 5f - a