The correct solutions for "x" after factorizing the cubic equation are:
x1 = -4
x2 = 0.5
x3 = 3
Cubic Equation:
A cubic polynomial in mathematics is a polynomial whose highest degree is three. A cubic equation is one that contains a cubic polynomial.
Either one real root or three real roots are present in every cubic equation. The cubic equation is written as ax^3+bx^2+cx+d=0.
Therefore, standard form of the cubic equation is: ax^3 + bx^2 + cx + d = 0
Given: 2x³ +x² -25x +12
On comparing with the standard form of the cubic equation, we get;
a=2
b=1
c=-25
d=12
After factorizing the cubic equation, we have three roots.
x1 = -4
x2 = 0.5
x3 = 3
To learn more about "cubic equation" here:
brainly.com/question/7764519
PLEASE HELP!!!!!! Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final conclusion that addresses the original claim. Choose the correct option based on the problem information.
Use a significance level of α = 0.01 to test the claim that μ > 2.85. The sample data consist of 9 scores for which = 3.1 and s = 0.6. Identify the correct null and alternative hypotheses.
A. H0: μ = 2.85. H1: μ > 2.85.
B. H0: μ ≥ 2.85. H1: μ < 2.85.
C. H0: μ > 2.85. H1: μ ≤ 2.85.
D. H0: μ ≠ 2.85. H1: μ = 2.85.
Answer:
C. H0: μ > 2.85. H1: μ ≤ 2.85.
Step-by-step explanation:
hope it helps
Mr.Coy receives a 80 bill for his meal. He leaves 14.30 as a tip. What percent did he leave
Answer:
around 18%
Step-by-step explanation:
14.30/80=0.17875
0.17875*100=17.875
18%
Answer:
Step-by-step explanation:
the answer is [tex]\frac{14.30}{80}[/tex]=17.875%
topic:(derivatives)
paki sagutan po please asap huhuhu
1. find y' of y=x+1 / x-1
2. find y'' of y = x(x+2)
3. find y'' of y = (3x+1)(x-2)
4. find y'' of y = (3x+4)squared
5. find y' of y = 3x-2
with solutions narin po if kaya pls, nagmamakaawa po ako huhu
2. find y'' of y = x(x+2)
y=x²+2x
y'=2x+2
3. find y'' of y = (3x+1)(x-2)
y=3x²+x-6x-2
y=3x²-5x-2
y'=6x-5
4. find y'' of y = (3x+4)squared
y=(3x+4)²
y'=2(3x+4)(3)=6(3x+4)=18x+24
5. find y' of y = 3x-2
y'=3
Select the correct answer.
What is the reaction quotient for the following reaction; AB + 2C?
Q = [B][C], ²
[A].
OA.
OB.
O C. Q=
Q = BIC
[A].
OD. Q=
[A]
[B].[C].2
[A],
[B]. [C].
Slope Sales will be $-159.474 at 0 degrees Celsius, which is nonsensical to understand.
what is slope?A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
given information,
Temperature=20 egression equation,
[tex]sales= 442.284\\ Slope=$ 30.0879[/tex]
temperature increases by 1 degree
$30.0879, on average.
[tex]y-intercept= -159.474[/tex]
At 0 degree celsius of temperature, Sales will be [tex]$-159.474[/tex]which is meaningless to interpret.
To know more about slope visit :-
brainly.com/question/3605446
#SPJ1
Can some one help me with this question its hard :( down below ill give brainliest
Answer:
A is the answer ...........
What is the answer of 2 by 7 and 3 by 5?
The answer of 2/7 + 3/5 is a fraction. The answer is 31/ 35.
To add two fractions, the denominators must be the same, in this case, the denominators are different, so we need to find a common denominator to add these two fractions.
A common denominator for 2/7 and 3/5 is 35.
So we can convert both fractions to have 35 as the denominator,
2/7 becomes (2×5)/(7×5) = 10/35
3/5 becomes (3×7)/(5×7) = 21/35
then we can add the numerators:
10/35 + 21/35 = 31/35
so the final answer is 31/35
This is also the simplest form of this fraction which would be 31/35.
--The question is not clear, answering to the question below--
"What is the answer of 2/7 + 3/5?"
To know more on fraction
https://brainly.com/question/14427715
#SPJ4
Find the area of the following composite figures
When is a radical expression in simplest form?
Answer:
No radicands have perfect square factors other than 1.
No radicand contains a fraction.
No radicals appear in the denominator of a fraction.
Simplified Radical Form. All exponents in the radicand must be less than the index. Any exponents in the radicand can have no factors in common with the index. No fractions appear under a radical
Answer:
when it is multiplyed by its conjugate
Complete the equation of the line whose y- intercept is (0,5) and slope is -9
Answer:
y= -9x+5
Step-by-step explanation:
i hope this helps :)
can someone please help? what is the missing length?
-x+3y=6 in slope intercept form pls i need to know!!!
Answer:
Below
Step-by-step explanation:
Slope - intercept form is y = mx + b you just need to manipulate the given equation to this form
-x +3y = 6 add 'x' to both sides of the equation
3y = x + 6 divide by 3
y = 1/3 x + 2 Done !
Evaluate 5 to the second power + 10 divided by 2
Answer:
10
Step-by-step explanation:
5²+10÷2
10+10÷2
20÷2
10
Answer:17.5
Step-by-step explanation:
5^2 is 25
25+10=35
35/2 is 17.5
(a) 14 is what percent of 40? (b) 65% of 60 is what number?
Answer: a) 35% b) 39
Step-by-step explanation:
Answer:
A) 35% B) 39
Step-by-step explanation:
do 14÷40=35% and you already know that have of 60 is 30 so you do 40 ÷60 and see if it is close then you go down one to 39÷60=65%
What is a polynomial of degree 4 called?
A polynomial of degree 4 is called bi-quadratic polynomial.
Bi-quadratic polynomial
A biquadratic equation is a polynomial equation with degree 4, and it strictly does not consist of any term with degrees 3 and 1.
Polynomial
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division
Degree of polynomial
The degree of a polynomial is defined as the highest exponent of a monomial within a polynomial. Thus, a polynomial equation having one variable which has the largest exponent is called a degree of the polynomial.
Learn more about polynomial here :-
brainly.com/question/11536910
#SPJ4
Use the data set to answer the question.
{22, 26, 28, 35, 45, 63, 91}
What is the mean of the data set?
Enter your answer as a number rounded to the nearest tenth,
Answer:
Yes
Step-by-step explanation:
because if you add that and then you subtract that you get that answer
Help me with this ASAP!!
RADIO FRIENDS Polly, Autumn, and Terry each have a two-way radio with a two-mile range. Their houses are located as shown, with Autumn and Polly being two miles apart. Which friends can talk with each other on the radio?
Autumn and Terry can talk because the distance between them is 2 miles
Polly and terry can not talk because the distance between them is 2.27 miles.
Polly and Autumn's distance can talk because the distance between them is 1.56 miles.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Autumn and Terry distance = 2 mile
Polly and Autumn's distance = x miles
Polly and terry's distance = y miles
Now,
Applying the Sin rule of a triangle.
2 / sin 59° = x / sin 42° = y / sin 79°
2 / 0.86 = x / 0.67 = y / 0.98
Find x.
2 / 0.86 = x / 0.67
x = 1.56
Find y.
2/0.86 = y / 0.98
y = 2.27
Now,
Polly and Autumn's distance is 1.56 miles.
This means they can talk.
Polly and terry's distance is 2.27 miles.
This means they can not talk.
Thus,
Polly and Autumn can talk.
Polly and terry can not talk.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
A carpenter bought a piece of wood that was 0.42 meters long. Then she sawed 0.3 meters off the end. How long is the piece of wood now?
The length of piece of wood now will be;
⇒ 0.72 meters
What is Addition?
A process of combining or adding two or more numbers is called addition.
Given that;
A carpenter bought a piece of wood that was 0.42 meters long.
And, She sawed 0.3 meters off the end.
Here,
A carpenter bought a piece of wood that was 0.42 meters long.
And, She sawed 0.3 meters off the end.
Hence, The length of piece of wood now = 0.42 + 0.3 meter
= 0.72 meters
Thus, The length of piece of wood now = 0.72 meters
Learn more about the addition visit:
https://brainly.com/question/27894163
#SPJ1
PLS HELP I DONT UNDERSTAND THUS PLS EXPLAIN
The equation that will make a system with infinite solutions is the third option.
y = 2x + 6
Which equation will make a system with infinite solutions?
A system of linear equations will have infinite solutions only if the two equations represent the same line.
Here we know that one of the linear equations of the system is:
2y - 4x = 12
If we now divide the whole equation by 2, we will get:
(2y - 4x)/2 = 12/2
y - 2x = 6
Now we can move the "2x" term to the right side, then we will get.
y = 2x + 6
So the equations:
y = 2x + 6
2y - 4x = 12
Represent the same line, then that system will have infinite solutions.
Finally, the correct option is the third one.
Learn more about systems of equations at:
https://brainly.com/question/13729904
#SPJ1
Evaluate the expression 5+2n^2 when n=3
Hi there!
»»————- ★ ————-««
I believe your answer is:
23
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{Evaluating the expression given:}}\\\\5+2n^2 \text{ when } n=3.\\-----------\\\rightarrow5+2(3)^2\\\\\rightarrow5+2*9\\\\\rightarrow 5 + 18\\\\\rightarrow\boxed{23}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The value of the expression 5 + 2n² at n = 3 is 23.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given an expression 5 + 2n².
Now at n = 3, we'll simply replace n with 3, So 5 + 2n² is
= 5 + 2(3)².
= 5 + 2(9).
= 5 + 18.
= 23.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
What is the relationship between DE and FG ? Select all that apply.
A. parallel
B. perpendicular
C. proportional
D. equal length
Answer:
Step-by-step explanation:
DE and FG are of equal length.
Answer:
The answer is A and D
Step-by-step explanation:
DE and FG are parallel to each other. They don't intersect, touch, or meet each other. Also they are equal length since they both are the same. Perpendicular is when the intersect or crossover each other, which they don't. Proportional is something completely different from this topic. I hope this is helpful!
A number time 12 is 72. Which equation fits this statement?
Answer:
D
Step-by-step explanation:
Answer:
D. 12x = 72
Step-by-step explanation:
If 'x' represents the unknown number, then only option D fits this statement.
12x is basically 12 times x, the unknown number.
Hope this helps!
The question is the picture
Answer:
Step-by-step explanation:
Hope this helps u!!
note :if u change divide sign to multiplication sign then do the reciprocal
for eg:
3/4÷3/100
then write,
3/4*100/3
Help plz no links will mark brainliest if correct!
Answer:
8
Step-by-step explanation:
Because when you add them you get 2m+8/2m
Which is equal to 8/1 or 8
Answer:
8
or
[tex]\frac{2m(m+4)}{(m+1)(m-1)}[/tex]
Depends what the question is asking for...
help me please? its algerbra
Answer:
Option 1
Step-by-step explanation:
option 1=243
option 2=125
0.5- 2 2/5 = 1/2y +2.4 Please help! Find the value of y! Thanks!
The value of y, given the equation, can be found to be - 8 .6
How to find the value of y ?To find the value of y, first convert the mixed fraction to a decimal for easier calculation :
2 ² / ₅ = 2 + 2 / 5
= 2 + 0. 4
= 2. 4
The equation then becomes :
0. 5 - 2.4 = 1 / 2 y + 2. 4
This can be rewritten as :
0. 5 - 2.4 = 1 / 2 y + 2. 4
0. 5 - 2 . 4 - 2. 4 = 1 / 2 y
1 / 2 y = - 4. 3
y = - 4. 3 / 1 / 2
y = - 8 .6
Find out more on value of y at https://brainly.com/question/16884434
#SPJ1
For what value of a the system of linear equations Ax 3y a 3?
The system of linear equations has no solution for any value of a.
The equations Ax + 3y = a and 3x + 3y = a can be written in matrix form as
[A 3] [x] [a]
[3 3] * [y] = [a]
By using the Gaussian elimination method, the reduced form of the matrix is
[A 3] [x] [a]
[0 0] * [y] = [0]
This implies that the system has no solution for any value of a.
The system of linear equation
Ax + 3y = a and 3x + 3y = a can be written in matrix form as
[A 3] [x] [a]
[3 3] * [y] = [a]
We can use the gaussian method to solve this system. First, we subtract 3 times the first equation from the second equation to get
[A 3] [x] [a]
[0 0] * [y] = [0]
This implies that the system has no solution for any value of a.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Jake and Blake began their journey from the same location at the same time. Jake's rate is 50 mph and Blake's rate is 60 mph. How many hours will it take for Blake to get 70 miles ahead of Jake
Answer: 7 hours
Step-by-step explanation: blake is gains 10 more miles then Jake each hour so if you divide 70 by 10 you get 7.
A vending machine has twice as many quarters in it as dollar bills if the quarters and dollar bills have a combined value of $96. 00 how many quarters are in the machine
According to question, we can say that there are 128 quarters in the machine.
What is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
N = the number of dollars 2N the number of quaters.....so we have
25(2N) + 1N = 96
1.50N = 96
so, by fraction we have -
N = 96 / 1,50 = 64 dollars
2(64) = 128 quarters
To know more about fraction visit:
brainly.com/question/10354322
#SPJ4
Is the function f/x )= x x − 4 − − − − √ is continuous on the interval 4 [infinity]?
No, the function f(x) = x - √x - 4 is not continuous on the interval [4, infinity].
Here's why, A function is considered continuous if the function is defined at every point in its domain and there are no breaks or jumps in the function's graph. In this case, the function f(x) = x - √x - 4 is defined for all x > 4, However, the function includes a square root of x-4, which is defined only for non-negative real numbers, thus for x < 4, the function is undefined. Therefore, the function is not continuous on the interval [4, infinity].
Learn more about Continuous Functions here:
https://brainly.com/question/18102431
#SPJ4