My father is 42 years old as obtained from the cubic polynomial's real root.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
let my age be x years.
So, My mother is (x + 25) and my father is (x + 28) years.
∴ {x(x + 25)(x + 28) = 32130.
(x² + 25x)(x + 28) = 32130.
x³ + 53x² + 700x = 32130.
x³ + 53x² + 700x - 32130 = 0.
Now solving this has only one real solution x = 17.
So, My father is (17 + 25) = 42 years old.
learn more about cubic polynomials here :
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Show all Work!!!!
1)
The sum of four consecutive integers is -18. What are the four integers?
(Use a let statement)
Answer:
-4.5
Step-by-step explanation:
this the work, -4.5-4.5-4.5-4.5
How many inches are in 1 & 2/5 groups of 1 & 2/3 inches? *
Please help with this, I have no clue what it means.
Answer:
LN = 4.326
Step-by-step explanation:
dropping a perpendicular from point k to LM
call that point on line LM, point X
angle KLM = 47 degrees so angle NKL = 28 degrees
sin 47 = KX/8.9
KX = 6.509
angle LKX = 90-47-28 = 15 degrees
tan 15 = XN/6.509
XN = 1.744
cos 47 = XL/8.9
XL = 6.070
XL-XN=LN
LN = 6.070-1.744 = 4.326
10+8÷2(4+3) simplify the expression using the order of operation
Answer:
truly ez points
Step-by-step explanation:
find the circumference of a circle of radius 2.1m
13.2
Step-by-step explanation:
r = 2.1
circumference of circle = 2πr
=2 × 22/7 × 2.1
= 13.2
PLS HELP 30 ISH POINTS
Answer:
this is my alt, btw. I'm taking these points back from myself before they get stolen
Last month we had only five sunny days. If there were 30 days last month, the ratio of sunny days to the total number of days is ____.
Answer:
1:6
Step-by-step explanation:
5:30 simplified is 1:6
Answer:
5:30 Simplified: 1:6
Step-by-step explanation:
Hope this helps, and don't forget to follow!
80 timess 40 plus 60
Answer:
3260 hope i helped u
Step-by-step explanation:
Solve for the value of x
Answer:
i think 6 is ans
hope u like it
simplify the equation below to determine whether there is one unique solution, no solution, infinitely many solutions. 3(6x + 8) = 24 + 18x
Result
0 = 0
infinitely many solutions.
2) Uma equação foi descrita da seguinte maneira:
(k² – 4) x³ + ( k – 2 )x² + 7x - 8 = 0
Analisando os coeficientes, o valor de k que faz com que essa equação seja uma equação do 2º grau é:
a) k = ± 2
b) k = + 2
c) k = - 2
d) k = 0
e) k = 4
Answer:
c) k = - 2
Step-by-step explanation:
Equação de Segundo Grau:
Uma equação de segundo grau tem o seguinte formato:
[tex]ax^2 + bx + c = 0[/tex]
Em que [tex]a \neq 0[/tex]
Caso tenham potências de x maiores que dois, o termo que multiplica essas potências deve ser 0.
Neste exercício:
Tem-se a seguinte equação:
[tex](k^2 - 4)x^3 + (k-2)x^2 + 7x - 8 = 0[/tex]
Para ser do segundo grau, necessita-se que:
[tex]k^2 - 4 = 0[/tex]
[tex]k^2 = 4[/tex]
[tex]k = \pm \sqrt{4}[/tex]
[tex]k = \pm 2[/tex]
E também
[tex]k - 2 \neq 0[/tex]
[tex]k \neq 2[/tex]
A intersecção entre [tex]k = \pm 2[/tex] e [tex]k \neq 2[/tex] é [tex]k = -2[/tex], e portanto a resposta é dada pela alternativa c.
O valor de k que torna a equação uma equação de segundo grau para a equação considerada é dado por: Opção C: k = -2
What is degree of an equation?For a single variable equation, degree of an equation is the highest power the variable possess, such that its coefficient is non-zero.
A second degree equation is that equation where the maximum power involved in that equation is 2 (such that its coefficient is non-zero).
For this case, the considered equation is:
(k² – 4) x³ + ( k – 2 )x² + 7x - 8 = 0
For making it second degree, we would have to vanish the coefficient of x³, and by vanish, we mean we would like to make it 0, but simultaneously, we'd have to take care that coefficient of x² doesn't become 0 as we need it to be non-zero.
So we get two mathematical statements:
Coefficient of x³ = 0Coefficient of x² ≠ 0or
[tex](k^2 - 4) = 0\\k - 2 \neq 0[/tex]
Taking first equation, we get:
[tex]k^2 -4 = 0\\k^2 = 4\\k = \pm \sqrt{4} = \pm 2[/tex]
Thus, k = 2 or k = -2
From second statement, we get:
[tex]k -2 \neq 0\\\text{adding 2 on both the sides}\\k \neq 2[/tex]
Thus, from both the results, we conclude that k = -2 is correct choice.
Thus, the value of k that makes the equation a second degree equation for the considered equation is given by: Option C: k = -2
Learn more about second degree equation here:
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What is the difference between an isosceles triangle and a scalene triangle. (Isn't it that the isosceles triangle has 2 equal sides while the scalene triangle doesn't have any equal sides?)
Answer:
An Isosceles has 2 equal sides of the same length while a Scalene triangle doesn't have any equal sides
Step-by-step explanation:
Plz mark me as Brainliest and say "Thanks!" on my profile!
Answer:
isoscelese has two equal sides. it can be a right, obtuse, or acute triangle.
scalene has no equal sides with the same length.
Step-by-step explanation:
Hi guys can you answer my math question
Answer:
Any 3 trinalges
Step-by-step explanation:
total triangles= 9
1/3 of 9 = 1/3 x 9 = 3
So, shade 3 triangles
I hope im right!1
Step-by-step explanation:
There are total 9 parts of the triangle
⅓ of 9 is 3.
Therefore shade any 3 parts.
Find the length of side BC. Give your answer to 1 decimal place. It's a right angle triangle with a hypotenuse of 14cm and an angle of 58 degrees.
Answer:
11.9
Step-by-step explanation:
8th grade math, please help.
Answer:
49
Step-by-step explanation:
180-131
Answer:
45°
Step-by-step explanation:
Here, since m||n, 131°+x=180°
x=180-131
x=49°
2. 252 - 200 – 8 x 5 = 247
Insert parenthesis to make the answer true
Write an equation in slope-intercept form of the line that passes through the points (-2, - 11) and (3,9).
The equation is y=
Answer:
y = 4x - 3
Step-by-step explanation:
(-2, -11) & (3, 9)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(9 - (-11)) / (3 - (-2))
Simplify the parentheses.
= (20) / (5)
Simplify the fraction.
20/5
= 4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 9). Plug in the x and y values into the x and y of the standard equation.
9 = 4(3) + b
To find b, multiply the slope and the input of x(3)
9 = 12 + b
Now, subtract 12 from both sides to isolate b.
-3 = b
Plug this into your standard equation.
y = 4x - 3
This is your equation.
Check this by plugging in the other point you have not checked yet (-2, -11).
y = 4x - 3
-11 = 4(-2) -3
-11 = -8 - 3
-11 = -11
Your equation is correct.
Hope this helps!
Find the exact value of x.
Renting jet skis from Jerry's water sports costs $20.00 per hour plus a one-time fee of $8.00. Renting jet skis from Splash of fun costs $25.00 per hour with no one-time fee. The cost to rent a jet ski depends on the total number of hours,h, rented. How many hours must you rent a jet ski for the cost to be the same at jerry's water sports and at splash of fun?
Answer:
The indifference point is 1.6 hours.
Step-by-step explanation:
Giving the following information:
Jerry's water sports:
Variable cost= $20.00 per hour
Fixed cost= $8
Splash of fun:
Variable cost= $25.00 per hour.
First, we need to establish the system of equations:
Jerry= 8 + 20x
Splash= 25x
x= number of hours
Now, we need to equal both formulas and isolate x:
20x + 8 = 25x
8=5x
1.6= x
The indifference point is 1.6 hours.
Prove:
erry= 8 + 20*1.6= $40
Splash= 25*1.6= $40
Please help me I need to get this right asap
Answer:
B
Step-by-step explanation:
[-10-(6 - 14) + 16]
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
3x+18x+5x-2=180
what is the angle measurement for:
3x,18x,and 5x,-2?
Answer:
3x = -18 (x = -6)
18x = 108 (x = 11)
5x = 90 (x = 18)
Step-by-step explanation:
PLEASE ANSWER what is the area of a circle with a radius of 5 inches? use 3.14 for π Enter your answer as a decimal in the box.
if you times the two questions the answer is 1.5700 I hope this helps because I'm not that good at math! :)
Solve x/-4 > 8
1. x > -2
2. x < -32
3. x < -2
4. x > -32
Answer:
x<-32
Step-by-step explanation:
I hope this helped have a good night
PLS PUT THE SLOPE INTERCEPT FORM OF THIS LINE ILL GIVE BRAINLIEST!!
Answer:
Y=2x+(-1)
Step-by-step explanation:
The slope/m = 2/1 and the Y int.= -1 So for it to be in slope intercept form it would look like this Y=2x+(-1).
Jasmine gets paid $150 each week and $55 for every laptop that she sells. Write and equation that represents her weekly income.
Answer:
If x represents the number of laptops sold and y represents the total weekly income, our equation would be y = 55x + 150
Answer:
Step-by-step explanation:
Every week, the given or set in stone amount of money she receives $150. So automatically, the first part of the equation is 150x, because x represents the number of weeks, and 150 is $150. So for instance, if she works for two weeks, she will earn $300. Anyway, she has an additional amount of money she gets, which is $55 for every laptop she sells. This isn't a set in stone amount of money. She might not always earn the extra $55, because she might not sell a laptop for a certain week. So, the final equation would be 150x+55. Hope this helped :)
find the measure of side b
Answer:
227in
Step-by-step explanation:
260 * cos(29 degrees) = 227.401
if 8 men can build a house in 90 days, in how many days can 20 men working under the same rate build the house?
It will take 36 days for 20 men to complete the building
What is the value of the expression below when y=
4 and z=
= 4
5y+7z
Answer:
48
Step-by-step explanation:
-4/9 times (-2) its really hard and i just dont know the answer