Step-by-step explanation:
x^3-8 = 0
or, x^3 = 8
or, x = 8×(1/3)
or, x = 2
All solutions to the equation are x = 2, -1 + i√3, and -1 - i√3 two roots are complex and one root is real.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have:
x³ - 8 = 0
Using identity:
a³ - b³ = (a - b)(a² + ab + b²)
(x - 2)(x² + 2x + 4) = 0
x = 2
x² + 2x + 4 = 0
Using quadratic formula:
[tex]\rm x = \dfrac{-2 \pm\sqrt{2^2-4(1)(4)}}{2(1)}[/tex]
x = -1 ± i√3
Thus, all solutions to the equation are x = 2, -1 + i√3, and -1 - i√3 two roots are complex and one root is real.
Learn more about the complex number here:
brainly.com/question/10251853
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2. Let z represent the unknown number. Write expressions for:
a. A third of the unknown number plus three
b. Four times the unknown number less twice the number
C. The sum of the unknown number and its square
d. The fraction obtained when double the unknown number is divided by the sum of the unknown number and four
Answer:
a. z+3
b. 2z - 4z
c. z + z^2
d. 2z/(z+4)
Hope it helped.
NEED ANSWER ASAP!
How much time will Alex need to walk to his school, which is 2 1 4 miles away from his house, if he would walk with the speed of 3 mph?
I WILL MARK BRANIEST
Answer:
t=0.57h
Step-by-step explanation:
c) 2x(3x + 4)
expand the following:
Answer:
6x^+8x
Step-by-step explanation:
Its a monomial by a binomial, so we need to multiply the 2x with each term in the bracket, and put the sign in the brackets.
final answer: 6x^+8xAnswer:
[tex]6x^{2} +8x[/tex]
Step-by-step explanation:
Multiply 2x into the equation to get [tex]6x^{2} +8x[/tex].
Sturdy the diagram
Value of
Step-by-step explanation:
5x + 2 = 50 - x (vertically opp angle)
5x + x = 50 - 2
6x = 48
x = 8
if you wanna check it,
5x + 2 = 50 - x
5(8) + 2 = 50 - 8
40 + 2 = 42
42 = 42
what matrix is a result of m x h enter your answer by filling in the boxes enter any fractions as simplified fractions
Answer:
-32/3 16 -16/3
Step-by-step explanation:
I got it wrong and this was the right answer
Answer:
Step-by-step explanation:
Two lengths are shown below: A. 24 inches B. 2 feet. Explain why length A is
equivalent to length B. Use your knowledge of converting inches to feet in
your answer.
I need help plzzz
Answer:
ok cuz evrey 12 inch = 1 feet thank youu
What fraction of an hour is 8 minutes?
Give your answer in its simplest form.
Answer:
2/15
Step-by-step explanaion
4/30 simplified is 2/15
What do the zero exponent and negative exponents properties mean
Here goes another question
Answer:
y = x - 8
Step-by-step explanation:
In order to solve this, we need to use point-slope form.:
y - y1 = m(x - x1)
Substitute the numbers into the equation:
y - (-8) = 1(x - 0)
y + 8 = x
y = x - 8
Which values of a, b, and c correctly complete the division? One-fourth divided by StartFraction 5 Over 6 EndFraction = StartFraction 1 Over a EndFraction times StartFraction b Over c EndFraction a = 4, b = 5, c = 6 a = 1, b = 6, c = 5 a = 1, b = 5, c = 6 a = 4, b = 6, c = 5
Answer:
a = 4, b = 6 and c = 5
Step-by-step explanation:
It is given that,
[tex]\dfrac{\dfrac{1}{4}}{\dfrac{5}{6}}=\dfrac{1}{a}\times \dfrac{b}{c}[/tex]
We know that,
[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
So,
[tex]\dfrac{1}{4}\times \dfrac{6}{5}=\dfrac{1}{a}\times \dfrac{b}{c}[/tex]
If we compare both sides of the equation we get,
a = 4, b = 6 and c = 5
Hence, these are the values of a,b and c.
Answer:
The simple and easy answer is D
Step-by-step explanation:
The 7th grade class experienced a 15% decrease in enrollment.Last year,the 7th grade class had 280 students. How many how many students are enrolled in the 7th grade this year?
Answer: 238
Step-by-step explanation: 10% of 280 is 28. 1% of 280 is 2.8. Multiply 2.8 times 5 and you get 14. Add 10% and 5% (28+14) and you get 15% which is 42. Subtract 42 from 280 and you get 238.
Answer:
232 students are enrolled this year.
Step-by-step explanation:
Since 15% of the enrollment of the previous year is gone, you must take 15% of the total number of students and subtract that from the total number of students.
[tex]280*0.15=42[/tex]
This tells us that the 15% decrease means there are 42 fewer students enrolled this year. Now you would just subtract 42 from 280.
280 - 42 = 232
Find the 7th term of the arithmetic sequence given a12=29 and
a16=53
a7=___
Answer:
Thus: a7=-1
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because each term is obtained by adding or subtracting a fixed number to the previous term.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
We know: a12=29, a16=53, thus
[tex]a_1+(12-1)r=29[/tex]
[tex]a_1+(16-1)r=53[/tex]
Simplifying:
[tex]a_1+11r=29[/tex]
[tex]a_1+15r=53[/tex]
Subtracting both equations:
[tex]4r=53-29=24[/tex]
Solving:
[tex]r=24/4[/tex]
r=6
The 7th term can be found as 5 terms before the 12nd:
[tex]a_7=a_{12}-5r[/tex]
[tex]a_7=29-5*6=29-30=-1[/tex]
Thus: a7=-1
A rectangle is drawn on a coordinate grid. The equation for one side of the rectangle is 2x – 5y = 9. Which could be the equation of another side of the rectangle?
y = 5x + 9
y = 2x – 9
y = -2/5x + 9
y = 2/5x - 9
Answer:
D
Step-by-step explanation:
it just is
Help me please what is 2+2 please help me.
Answer:
6969694204206969
Step-by-step explanation:
lololololololol
Cristian made an ankle bracelet using 6 red beads, 10 green beads, 4 purple beads, and 5 yellow beads. He wants to make a necklace that has the same ratio of color beads as the ankle bracelet. If the necklace has 15 yellow beads, how many purple beads will it have?
Answer:
20 is the answer
Step-by-step explanation:
MARK BRANIEST
Somebody help please?
Answer:
x=13
Step-by-step explanation:
vertical opposite angles are equal.
Answer:
13
Step-by-step explanation:
THERE THE SAME
BRAINLIEST ANSWER! I NEED HELP ASAP!!
Answer:
The answer is in the picture. I believe it is correct :)
Answer:
yep i checked it too its right
Thanks in advance!
filler filler filler filler filler
Answer:
C
Step-by-step explanation:
The base number is 2, and it's being multiplied 7 times, so 7 is the exponent
Hope this helps!
the sum of 4 consecutive integers is -62 write an equation to determine the smallest of the integers
Answer:
x + (x+1) + (x+2) + (x+3) = -62
x = -17
Step-by-step explanation:
x = smallest
x + (x+1) + (x+2) + (x+3) = -62
4x +6 = -62
4x = -68
x = -17
18x + 12- 4
I need help ASAP.
Answer:
b
Step-by-step explanation:
Answer:
B and E
Step-by-step explanation:
Which fraction is equivalent to 0.018 ? there is a top enclose above 18 so, please help me with that ! thank you so much.
Answer:
9/500
Step-by-step explanation:
Encuentra el Minimo común múltiplo (m.c.m.) de los sieguentes numeros 12y 15
Answer:
is this question in Spanish ?
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me speak english
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Estimate the product. Then find the exact product.
7.9(10.1)
estimated product = 80, exact product = 7.97
estimated product = 80, exact product = 79.79
estimated product = 80, exact product = 797
estimated product = 80, exact product = 7,979
Answer:
79.79
Step-by-step explanation:
Find the slope and the y-intercept of the line.
y = 5/4x+3
Match the following to the correct solution
Answer:
a/c/z
Step-by-step explanation:
Multiply (12-5i)(-3+4i)
Answer:
−16 + 63i
Step-by-step explanation:
Multiply using the FOIL method, then combine the real and imaginary parts of the expression.
Hope this helps! :D
2x+2a=4b solve for a
Answer:
a=2b-x
Step-by-step explanation:
helpp ! look at the pic help me asap
five million, forty-three thousand, two hundred ninety-nine in numbers
Answer:
5,043,299
Step-by-step explanation:
five million = 5,000,000
forty-three thousand= 43,000
two hunded = 200
ninety-nine = 99
Answer:
5,043,299
Step-by-step explanation:
i thinks its that
how many solution 7(y+3)=5y+8
Answer:
there is only one it is y=-6.5
Step-by-step explanation: