The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.
Based on the graph, how many real number solutions does the equation x3 + 6x2 + 12x + 8 = 0 have?
no real number solutions
one real number solution
two real number solutions
three real number solutions
Answers
Hope this help
As per cubic equation, there will be one real solution of the given equation.
What is a cubic equation?"A cubic equation is an algebraic equation of degree three and is of the form ax³ + bx² + cx + d = 0. x is a variable.
Here a, b and c are the coefficients and d is the constant"
Given cubic equation is:
x³ + 6x² + 12x + 8 = 0
⇒ x²(x + 2) +4x(x + 2) + 4(x + 2) = 0
⇒ (x + 2)(x² + 4x + 4) = 0
⇒ (x + 2)(x + 2)² = 0
⇒ (x + 2)³ = 0
⇒ x = -2
There will be one real solution of the given equation.
Learn more about cubic equation here: https://brainly.com/question/9390802
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Related Questions
John called a plumber to fix a leak in his bathroom. The plumber charged $30 to come to the house and $25 an hour while fixing the leak. If the final bell was $106, how many hours was the plumber
03
John's house?
05
O 7
O4
Next
O
09:45
Answers
Answer:3 hours and 4 mins
Step-by-step explanation:
When a stone is dropped in a pond, ripples are formed and travel in concentric circles away from where the stone was dropped. The equation of the least-squares regression line is Area = 0.010 + 3.141 (Time^2) . What is the predicted area, in cm2, of the circle 8 seconds after the stone was dropped?
A. 25.14cm^2
B. 50.27 cm^2
C. 64.01 cm^2
D. 201.03 cm^2
Answers
Answer: D.
Step-by-step explanation: calculator
Answer:
d) 201.03
Step-by-step explanation:
3 ice cream cones cost $5.25. At this rate, how much do 2 ice cream cones cost?
Answers
Answer:
3.5
Step-by-step explanation: Just trust sweetie
Answer:
use google
Step-by-step explanation:
Pls help due tomorrow just numbers 7 - 12
Answers
Answer:
Step-by-step explanation:
7). 5.75% = [tex]\frac{5.75}{100}[/tex] = [tex]\frac{575}{10000}[/tex] = [tex]\frac{23}{400}[/tex]
10). [tex]16\frac{2}{3}[/tex] % = [tex]\frac{50}{3}[/tex] % = [tex]\frac{50}{300}[/tex] = [tex]\frac{1}{6}[/tex]
12). [tex]79\frac{5}{6}[/tex] % = [tex]\frac{479}{6}[/tex] % = [tex]\frac{479}{600}[/tex]
Now is you turn. You can do it!
In a regular polygon with n sides, what is the smallest angle of rotation about the center for which the polygon will be napped onto itself?
A: n
B: n/360
C: 360/n
D: 180/n
Answers
Answer:
B
this is because circle has the sum total of 360 and the side of the polygon is n
n/360
YO I NEED THIS A.S.A.P
Answers
Answer:
you can get 4 of each
Step-by-step explanation:
i need help with this
Subtract 8y^2-5y+7 from 2y^2+7y+11
Answers
Answer:
6[tex]y^{2}[/tex] - 12[tex]y[/tex] - 4
Step-by-step explanation:
(8[tex]y^{2}[/tex] - 5[tex]y[/tex] + 7) - (2
8 - 2 = 6
-5 - 7 = -12
7 - 11 = -4
6[tex]y^{2}[/tex] - 12[tex]y[/tex] -4
(Nice profile pic btw!)
Give your simplified answer as an improper fraction.
3(x - 2) + 6 = 4(2 - x)
X =?/?
Answers
Answer:
x = 8/7
Step-by-step explanation:
3(x-2) -6 +6 = 4(2-x)
3x - 6 +6 = 8-4x
7x = 8
x = 8/7
Which best describes the expression b(4-n)?
Answers
Answer:
4b−bn
Step-by-step explanation:
Can i have brainliest pls?
Which equations listed below contain like terms?
A. 2c-4x=13
B. 14p-3p=9
C. 12(13v-13)+3=14
D. 77-2x+ 15-3x=29
Answers
Answer:
B
Step-by-step explanation:
14p and 3p have the same variable
(9c^2 + 3c + 9) - (9c^2 + 2c + 7)
Answers
Answer:
c+2
Step-by-step explanation:
Distribute the Negative Sign:
=9c2+3c+9+−1(9c2+2c+7)
=9c2+3c+9+−1(9c2)+−1(2c)+(−1)(7)
=9c2+3c+9+−9c2+−2c+−7
Combine Like Terms:
=9c2+3c+9+−9c2+−2c+−7
=(9c2+−9c2)+(3c+−2c)+(9+−7)
Answer:
c + 2
Step-by-step explanation:
(9c² + 3c + 9) - (9c² + 2c + 7)
9c² + 3c + 9 - 9c² - 2c - 7
9c² + 3c + 9 - 9c² - 2c - 7
c + 2
Some people know this can yall help
Answers
Answer:
D
Step-by-step explanation:
36 ÷ ( x + 9 ) = ???
36 ÷ ( 3 + 9 ) = ???
36 ÷ (12) = 3
Ans . 3
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
What is the value of x? 2.5x=35 Answer ASAP
Answers
Answer:
14
Step-by-step explanation:
x=35÷2.5 will devide 35 by 2.5 to get x
Answer: x = 14
Step-by-step explanation: To find the value of x, you can simply divide 35 by 2.5, which gives you a final result of 14. Therefore, x = 14.
*Tip: To divide whole numbers by decimals or decimals by decimals, then you’ll have to just divide regularly and align the decimal point where it originally was, as shown in the bracket where the dividend is.
what negative 8 in graphing
Answers
Answer:
The 8 is in the quadrant III and IIII
Step-by-step explanation:
Are the rectangles below similar Justify your answer.
YES
NO
Justify your answer below (required)
Asapppppp
Answers
4/6=2/3
2/3 is the simplified version of 4/6
this makes them similar
which is true if figure defg is reflected across the x asic
Answers
Answer:
Explanation: If a figure reflected across the x-axis then the x-coordinate remains same but the sign of y-coordinate changes
Step-by-step explanation:
Answer:
1 D(0, 4) → D'(0, –4)
2 E(–2, 0) → E'(–2, 0)
3 The perpendicular distance from G' to the x-axis will equal 2 units.
Only these ones. I just took the test on Edg.
Step-by-step explanation:
Hansika paid $9.25 for 2.8 pounds of pretzels. About how much did she pay for a pound of pretzels? ( Round your answer to the nearest whole number )
$2.00
$3.00
$4.50
$5.00
Answers
Answer:
3.00
Step-by-step explanation:
Rounding down
Answer:
$3.00
Step-by-step explanation:
shaminapodiepooo
How does this diagram help show that 2/7 = 8/28
Answers
Answer:
I dont even know what the diagram looks like
Step-by-step explanation:
add pictures next time, sorry
Wilma can mow the lawn in 4 hours. If Kyle helps her with another mower, the lawn can be mowed in 3 hours. How many hours would it take Kyle if he worked alone?
Answers
Answer:
12 hours
Step-by-step explanation:
Let w = Wilma alone
Let k = Kyle alone
Let t = Working together
Given the following data;
Time it took Wilma = 4 hours
Time it took them together = 3 hours
Time it took Kyle = x
To find the time it will take Kyle, we would use this arithmetical expression;
[tex] \frac {1}{w} + \frac {1}{k} = \frac {1}{t}[/tex]
Substituting into the equation, we have;
[tex] \frac {1}{4} + \frac {1}{x} = \frac {1}{3}[/tex]
Lowest common denominator (LCD) = 12x
Multiplying all through by "12x" we have;
[tex] 12x * \frac {1}{4} + 12x * \frac {1}{x} = 12x * \frac {1}{3}[/tex]
Simplifying the equation, we have;
[tex] 3x + 12 = 4x[/tex]
Rearranging the equation, we have;
[tex] 4x - 3x = 12[/tex]
x = 12 hours.
Therefore, it would take Kyle 12 hours to mow if he worked alone.
One number is five more than five times another. If their sum is decreased by four, the result is twenty-five. Find
the mumbers.
Answers
Answer:
a=4 n=25
Step-by-step explanation:
5a+5=n
(a+n)-4+25
a+n=29
5(4)+5=n
20+5=25
The total distance a ball rolls varies directly with the time in seconds. The ball rolls a total distance of 112 centimeters in 4 seconds.
What is the time in seconds the ball rolls when the total distance is 700 centimeters?
6 s
10 s
25 s
28 s
Answers
Answer:
25 s
Step-by-step explanation:
25 times 28 is 700
I WILL MARK U BRAINLIEST ANSWERRRRRR PLS
Answers
Answer:
11000
Step-by-step explanation:
Keep the ratio and multiply. I will explain more later but you needed the answer
Answer:
The answers are correct so what do I do now?
Step-by-step explanation:
Please mark as brainliest
Which of the following fractions are equal to a repeating devimal 1/3 2/5 or 5/8
Answers
It would not be 2/5: 0.5
Or 5/8: 0.625
How many 2/3-cup servings are in 6 cups of cereal?
Answers
There are 9...
The end.
Answer:
9
Step-by-step explanation:
6/(2/3)
= 9
Please can anyone help?
Answers
Answer:
x=4.44
Step-by-step explanation:
1st step: multipy both sides by -4
x(-4) divided by -4 = (-1.11)(-4)
x(-4) divided by -4 = 1.11*4
11.4*4=4.44
Determine whether f(x) = 4x^2 – 16x + 6 has a maximum or a minimum value and find that value.
a
maximum; –10
b
minimum; –10
c
maximum; 2
d
minimum; 2
Answers
Answer:
minium:-2................
The function f(x) = 4x² – 16x + 6 has a minimum value is –10 when the value of x is 2. Then the correct option is B.
What is differentiation?
The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
The function is given below.
[tex]f(x) = 4x^2 -16x + 6[/tex]
Differentiate the function, then we have
[tex]\dfrac{d }{dx} f(x) =\dfrac{d}{dx}(4x^2 -16x + 6) \\\\ \dfrac{d }{dx} f(x) =8x - 16 \\[/tex]
The value of x will be
[tex]8x - 16 = 0\\x = 2[/tex]
Then again differentiate the function, if the value comes negative then maxima and if the value is positive then minima.
[tex]f''(x) = \dfrac{d }{dx} f'(x) \\\\f''(x)=8x - 16 \\\\f''(x) = 8\\\\ f''(x) > 0[/tex]
Then the function is minimum at 2.
More about the differentiation link is given below.
https://brainly.com/question/24062595
The distance that an object falls varies directly with the square of the time it falls. If an
object falls 11 feet in 2 seconds, how long does it take the object to fall 275 feet?
a) 7 seconds
b) 8 seconds
C)9 seconds
d) 10 seconds
Answers
Answer:
I think its, C) 9 seconds
Step-by-step explanation:
Which function represents exponential decay?
Answers
Answer:
the answer is c
Step-by-step explanation:
It appears that your thief is just as obsessive compulsive as you are. What is happening here is 'exponential decay' because the rate of decrease stays consistent from day-to-day. No matter how big your 'population' of jelly beans is on any given day, about 10% will vanish by the next day.
solve each system of equations or inequalities by graphing
3x - 2y = 6
2x + y = 4
Answers
Answer:
x=2 y=0
Step-by-step explanation:
y=4-2x
3x-2y=6
3x-8+4x=6
7x-8=6
7x=14
x=2
y=4-4
y=0
Please give me the correct answer.
Answers
Answer:
First ?: 4
Second ?: -6
Step-by-step explanation:
40-40=0, which leaves 4n left.
34-40=-6
The final answer would be n= 3/2.