Answers
Answer:
[tex]x=\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]5x^3-2x^2+5x-2=0\\x^2(5x-2)+(5x-2)=0\\(x^2+1)(5x-2)=0\\Hence,\\Either\ (x^2+1)\ should\ equal\ zero, or (5x-2)\ should\ be\ null.\\Lets\ try\ each\ on\ seperately:\\(x^2+1)=0\\x^2=-1\\x=\sqrt{-1}\\As\ \sqrt{-1}\ is\ not\ a\ real\ number,\ we\ can\ exclude\ it\ as\ a\ solution.\\Hence,\\(5x-2)=0\\5x=2\\x=\frac{2}{5} \\Thats\ your\ answer.[/tex]
Answer:
x = [tex]\frac{2}{5}[/tex] , x = ± i
Step-by-step explanation:
Given
5x³ - 2x² + 5x - 2 = 0 ( factor the first/second and third/fourth terms )
x²(5x - 2) + 1(5x - 2) = 0 ← factor out (x - 2) from each term
(5x - 2)(x² + 1) = 0
Equate each factor to zero and solve for x
5x - 2 = 0 ⇒ 5x = 2 ⇒ x = [tex]\frac{2}{5}[/tex]
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± [tex]\sqrt{-1}[/tex] = ± i
The polynomial is of degree 3 and has 3 roots, 1 real and 2 complex, that is
x = [tex]\frac{2}{5}[/tex] ← real root
x = ± i ← complex roots
Related Questions
Can you solve this?
kn+4f=9v, for n
Answers
Answer:
n = [tex]\frac{9v - 4f}{k}[/tex]
Step-by-step explanation:
kn + 4f = 9v
kn = 9v - 4f
[tex]\frac{kn}{k}[/tex] = [tex]\frac{9v - 4f}{k}[/tex]
n = [tex]\frac{9v - 4f}{k}[/tex]
HELP ASAP! Will mark brainliest! Please give actual, correct answers because this is very important.
Answers
Answer:
1.) -t (r - s)
-3 (-6 - 3)
16 + 6
22
2.) B
A linear equation consists of y = slope + y-intercept (y = mx +b). In this case, the slope will rise by 1 and run (right) by 1.
3.) I`m sorry I`m not too sure about this one
I hope the first couple helped, I`m sorry I don`t know the last one.
suppose aaron earned 15.75 in interest for account A and 28.00 in interest for account B after 21 months if the simple interest rate is 3.0% for account A and 4.0% for account B wich account has the greater principle explain
Answers
Answer:
Principle for account B is greater.
Step-by-step explanation:
First of all, let us have a look at the formula for Simple Interest:
[tex]SI =\dfrac{PRT}{100}[/tex]
Where [tex]P[/tex] is the principle amount
[tex]R[/tex] is the Rate of interest per annum
[tex]T[/tex] is the time in years.
Time = 21 months = [tex]\frac{21}{12}\ yrs[/tex]
[tex]R_1 = 3\% \\R_2=4\%[/tex]
Let the Principles be [tex]P_1, P_2[/tex].
Using the formula for Simple Interest, we get:
[tex]SI_1=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow 15.75=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow P_1 = 300[/tex]
[tex]SI_2=\dfrac{P_2\times 4\times 21}{100\times 12}\\\Rightarrow 28=\dfrac{P_2\times 3\times 21}{100\times 12}\\\Rightarrow P_2 = 533.33[/tex]
Therefore, principle for account B is greater.
A membership to the gym costs $25 per person in 1995. The membership cost has increased by an average of $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995.What is the cost of a gym membership in 2009?
Answers
Answer:
The cost of a gym membership would be 109
Step-by-step explanation:
2009-1995=14
thats how many years apart from each other
so its been 14 years $6 for each year so 14x6=84
so the regular price was $25 and went up 84 dollars last 14 years.
25+84=109 so the price of gym membership would be $109
Most of the geometry concepts and theorems that are learned in high school today were first discovered and proved by mathematicians such as Euclid thousands of years ago. Given that these geometry concepts and theorems have been known to be true for thousands of years, why is it important that you learn how to prove them for yourself?
Answers
Answer:
self realization, confidence
Step-by-step explanation:
also these concepts are used in real life jobs but most people think otherwise because you dont use them in a grocery store... yeah people think that, but also its so these concepts that were figured out thousands of years ago dont fade away with the newer generations
help meh for points pleasee
Answers
Answer:
the answer is 43
Step-by-step explanation:
You want to take 10 lessons at a swim club. You can pay a membership fee of $20 plus a fee per lesson. You can also decide no to pay a membership fee. In that case, the fee per lesson is $3 more. Is there any lesson fee for which these two plans cost the same?
Answers
Answer:
x = 1
Step-by-step explanation:
Plan A: 20 + 10x
Where, x = fee per lesson
Plan B: $3 × 10 lessons = $30
Equate plan A and plan B
Plan A = Plan B
20 + 10x = 30
10x = 30 - 20
10x = 10
x = 10/10
= 1
x = 1
I tought of a number double it then added 3. The result multiplied by 4 came to 52,what was the number I tought of?
Answers
Answer:
5
Step-by-step explanation:
double 5 is 10
10+3=13
13 multiplied by 4=52
will mark brainliest
Answers
Answer:
1.
31, 37, 43, 49, 55
2.
for nth number the value is 31+6(n-1)
3.
24th number, 169-31=138 and 138/6=23
2. The value of the nth number 31 + 6(n - 1)
3. The 24th row, 169 - 31 = 138 and 138 / 6 = 23 and 31 + 6(24 - 1) = 169
PLEASE ANSWER NUMBER 15 ‼️‼️‼️‼️
Answers
Answer:
C
Step-by-step explanation:
(x-y) (x²-2xy + y²)
Answers
Answer:
x³ - 2x²y + 3xy² - y³
Step-by-step explanation:
When multiplying with two brackets, you need to multiply the two terms, (x) and (-y) from the first bracket to all the terms in the second brackets, (x²), (-2xy) and (y²) individually. I have put each multiplied term in a bracket so it is easier.
(x-y)(x²-2xy+y²) =
(x × x²) + {x × (-2xy)} + (x × y²) + {(-y) × x²) + {(-y) × (-2xy)} + {(-y) × y²)
Now we can evaluate the terms in the brackets.
(x × x²) + {x × (-2xy)} + (x × y²) + {(-y) × x²) + {(-y) × (-2xy)} + {(-y) × y²) =
(x³) + (-2x²y) + (xy²) + (2xy²) + (-y³)
We can open the brackets now. One plus and one minus makes a minus.
(x³) + (-2x²y) + (xy²) + (2xy²) + (-y³) = x³ - 2x²y + xy² + 2xy² - y³
Evaluate like terms.
x³ - 2x²y + xy² + 2xy² - y³ = x³ - 2x²y + 3xy² - y³
Please help will mark as brilliant<3
Answers
One equation that only has no solution
Answers
Choose
1. Identify the y-intercept of the line with the given equation. y= 3x + 12
A) x
B) y
C) 3
D) 12
Answers
Y=mx+b
B is the y intercept
B=12
Enter the correct answer in the box. Write the factored form of the least common denominator needed to simplify this expression. (g+1/g^2 + 2g - 15)+ (g+3/g+5)
Answers
Answer:
(g+5)x(g-3)
Step-by-step explanation:
Edmentum/PLATO answer:
Rewrite the expression:
g+1/g^2+5g-3g-15 + g+3/g+5
Factor out g from expression:
g+1/gx(g+5)-3g-15 + g+3/g+5
Factor out g+5:
g+1/(g+5)x(g-3) + g+3/g+5
Least common denominator: (g+5)x(g-3)
ben orders a case of his favorite macaroni and cheese. The case contains 18 same size boxes that weigh a total of 7.2 pounds .
Answers
Answer:
129.6
Step-by-step explanation:
that the answer I got so yea
Answer:
The answer is 18x = 7.2 x = 2.5.
Step-by-step explanation:
If your asking this question from iready then the answer is 18x = 7.2 x = 2.5
determine the value of a and b so that x^4 6x^3 +7x^2+ax+b is a perfect square
Answers
Step-by-step explanation:
(Ax² + Bx + C)²
= (Ax² + Bx + C)(Ax² + Bx + C)
= Ax⁴ + 2ABx³ + 2ACx² + 2BCx + C².
By Comparing Coefficients, we have:
A = 1
2AB = 6
2AC = 7
2BC = a
C² = b
Solving them we get A = 1, B = 3 and C = 3.5.
Therefore a = 2BC = 2(3)(3.5) = 21,
b = C² = (3.5)² = 12.25.
What makes the equation true?
5x(8+3) = 5x8 + __ x 3
Answers
Answer:
5×8 + 5×3 =5×8 + 5×3
x => 5
What is the value of x?
Answers
Answer:
x=71
Step-by-step explanation:
38+x+x=180
x+x=142
2x=142
x=71
PLSSS HELLPPPP I WILL HIVE BRAINLIEST!!!
Answers
Answer:
480 in^3
Step-by-step explanation:
A=l×b×h
10×8×5+4×4×5
=480
Find the slope between the points (3, 0) and (5, 4).
A. 2
B. 12
C. 4
Answers
Answer: I would say A tbh thank you
Step-by-step explanation:
The coordinates of two points on the line, use the slope formula to determine the slope of the line.
The slope between the points (3, 0) and (5, 4) exists 2.
What is meant by slope of the equation?Given the coordinates of two points on the line, use the slope formula to determine the slope of the line.
The slope formula, or the ratio of the change in the y values to the change in the x values, is
[tex]$m=\frac{y_ 2-y _1}{x _2-x _1}$$[/tex]
where [tex]$(x _1, y_ 1)$[/tex]and [tex]$(x_ 2, y _2)$[/tex] are two points that lie on the line.
Let the points be [tex]&(x _1, y _1)[/tex] = (3, 0) and [tex]$&(x _2, y _2)[/tex] = (5, 4)
The equation be [tex]$m=\frac{y_ 2-y _1}{x _2-x _1}$$[/tex]
substitute the values in the above equation, we get
[tex]$m=\frac{4-0}{5-3}=\frac{4}{2} \\[/tex]
The slope between the points (3, 0) and (5, 4) exists 2.
Therefore, the correct answer is option A. 2.
To learn more about slope refer to:
https://brainly.com/question/3493733
#SPJ2
At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time on a nearby track, Eduardo’s train was traveling at an average speed of 110 miles per hour and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up? 0.11 hours 0.25 hours 0.88 hours 1.84 hours
Answers
Answer:
1.84
Step-by-step explanation:
Answer:
You answer would be 1.84
Step-by-step explanation:
The graph below show the cost of tomato plants for each purchased. What is the cost of one tomato plant
Answers
Answer:
There is no phone...so i dont know what the numbers are....
Step-by-step explanation:
A price of a hoverboard was marked down from $220 to $132. By what percent was the price of the hoverboard reduced?
A) 40%
B) 88%
C) 36%
D) 33.3%
Answers
B)88%
Explanation:
$220 - 88 = 132 ig because ive tried all of the percentages and multiplied them in decimal form and none of then gave me the answer till i just started subtracting instead.
220÷132=36 so the answer is c
A 20-dirham note is 13 cm long. How many such notes need to be placed one after the other without overlapping to cover a length of 1 1 2 m?
Answers
Answer:
861 (approx)
Step-by-step explanation:
It is given that there is a note of 20 dirham. The 20 dirham note is 13 cm long. And we have to place the 20 dirham notes to cover a length of 112 m without overlapping the notes.
We know that :
100 cm = 1 m
∴ 13 cm = 0.13 m
In order to cover a length of 112 m, we have to divide 112 by 0.13, i.e.
[tex]$=\frac{112}{0.13}$[/tex]
[tex]$=\frac{11200}{13}$[/tex]
= 861 (approx)
Is the function shown linear or nonlinear? Explain.
A. The function is linear becouse all values of x and y are positive.
B. The function is nonlinear becouse there are no negative values of x or y.
C. The function is nonlinear becouse the slope is not constant.
Answers
Answer:
b
Step-by-step explanation:
linear is a straight line and non linear is something that isnt a straight line
Evaluate f(x)=x+6 when x=−2,0, and 5.
Answers
Answer:
1. 4
2. 6
3. 11
Step-by-step explanation:
Plug each number into the equation (in place of x) to get the answer.
1. f(-2) = -2+6 = 4
2. f(0) = 0+6 = 6
3. f(5) = 5+6 = 11
10. The tickets to a ballet cost either $25 or $50. A total of 1,250 tickets, worth $50.000, tickets, which system of linear equations can be used to find the number of each type of ticket sold? 25x + 50y = 50000 x +y = 1250 A. 25x + 50y = 1250 x+y = 50000 B. 25x + x = 50000 50y + y = 1250 C. 25x + 50x = 50000 y +y = 1250 D.
Answers
Answer:
25x + 50y = 50,000
x + y = 1250
Step-by-step explanation:
Let x = number of $25 tickets
Let y = number of $50 tickets
Equation of the the money of ticket sales:
25x + 50y = 50,000
Equation of the number of tickets:
x + y = 1250
Answer:
25x + 50y = 50,000
x + y = 1250
1 i) Consider a triangle ABC shown below. If angle LA = 3r and _C = 2x then find the value of z.
Answers
Answer:
i don't know if this is what you're asking but here you go
Step-by-step explanation:
90 + 3x + 2x = 180
90 + 5x = 180
- 90 - 90
5x = 90
/ 5 / 5
x = 18
Someone pls explain :)!!!!
Answers
Answer:
The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.
The formula is y=mx+b
:D