What are all of the real roots of the following polynomial?
f(x) = x5 + 3x4 + 5x3 + 15x2 + 4x + 12
Answers
According to the graphic method, the quintic function has a real root at (x, y) = (- 3, 0) and four complex roots.
How to find the roots of quintic equation
Quintic functions are polynomics of degree 5, there are numerical and graphical approaches to find real roots of those kind of polynomials. By algebra we know that quintic equations have at a least one real root and at most five real roots.
In this problem we shall use a graphic approach to determine the real roots of the quintic equation, as it offers sufficiency and quickness for analysis. Please notice that a point of the curve is a root if the point lies on the x-axis.
The graph is contained in the image attached below. According to the outcome, the quintic function has a real root at (x, y) = (- 3, 0) and four complex roots.
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Related Questions
Solve the following equation for D:
fD-7=q2
Answers
The expression that represents D is (q²+7)/f
The subject of formula is a way of representing a variable to represent all other variables in a function
Given the expression
fD - 7 = q²Add 7 to both sides
fD - 7 + 7 = q² + 7
fD = q² + 7
Divide both sides by f
fD/f = (q²+7)/f
D = (q²+7)/f
Hence the expression that represents D is (q²+7)/f
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solve the equation using the quadratic formula. 3v^2+3=-v
Answers
Answer:
v=− 1± i √35 /6
Step-by-step explanation:
Solve the equation for v by finding a , b , and c of the quadratic then applying the quadratic formula.
How can the error in the student's work be corrected?
Answers
Answer:
by telling them what they got wrong
Step-by-step explanation:
What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?
A. y-12=6/5(x+9)
B. y-12=5/6(x+9)
C. y-9=5/6(x-12)
D. y-12=6/5(x-9)
Answers
Answer:
B (lmk if you want me to explain)
Step-by-step explanation:
the point slope form is
y-y1=m(x-x1)
y-12=5/6(x--9)
y-12=5/6(x+9)
(x + 17/5) - (3x - 7/4) = -2
Help me solve
Answers
Answer:
x=143/40
or
x=3.575
Step-by-step explanation:
Which equation represents a line which is perpendicular to the line
6x + 7y = -42?
Somebody please help?
Answers
Answer:
y = [tex]\frac{7}{6} x - 5[/tex]
Step-by-step explanation:
Given expression:
6x + 7y = -42
To find an equation perpendicular to this, it implies the slope must be a negative inverse of the given one.
Solution:
Equation of any straight line is given as;
y = mx + c
where x and y are the coordinates
m is the slope
c is the intercept
Let us now find the slope of the line;
6x + 7y = -42
7y = -6x - 42
divide through by 7 to give;
y = [tex]-\frac{6}{7} x[/tex] - 6
The slope is [tex]-\frac{6}{7}[/tex]
A line perpendicular will have a slope of a negative inverse;
- ( [tex]-\frac{7}{6}[/tex] ) = [tex]\frac{7}{6}[/tex]
The answer is A.
Can you help with these two plz? Number a and b if you can do c and d for me that would be great as well!
Answers
Answer:
a) x = 60. b) b = 110. c) x = 20. d) x = 30.
Explanation:
For question a, 2x and 120° are opposite (vertical) angles so they must be the same measure according to the vertical angle theorem by definition, given they are angles formed by the transversal cutting two parallel lines. 2x = 120, so x = 60.
For question b, 130° and b + 20 are corresponding angles of the transversal cutting parallel lines, so they must be the same measure according to corresponding angle theorem(same side, one angle inner, and the other exterior of that) by definition. Given that they are both pairs of the same angle, they must be corresponding angles. 130° = b + 20, b = 110.
For question c, 120° and 2x + 20 are same side interior angles so they must be supplementary(add up to 180°) by definition. This is on the *same side* of the transversal inside the two parallel lines cut by it. 120° + 2x + 20° = 180°, x = 20°.
For question d, They are also on the same side but on the left so the same property of corresponding angles applies, so 3x + 10, and 100° must be the same measure. Therefore 3x + 10 = 100°, and x = 30.
B was incorrect...please help
Answers
Answer:
It is probably D. If it's wrong please don't get mad at me. I tried my best to help you!
Step-by-step explanation:
At 3 years old, Javier was 36.5 inches tall. By age 13, he was 1.8 times as tall as he was at age 3.
How tall was Javier at age 13?
Enter the correct answer in the box.
Answers
65.7 inches tall, or 5'4
5,11,0,-3, and -3/2 in order form least to greatest
Answers
Answer:
-3, -3/2, 0, 5, 11
Step-by-step explanation:
-3/2 = -1.5
-3, -3/2, 0, 5, 11
Answer:
-3, -3/2, 0, 5, 11
Step-by-step explanation:
Solve for x. Show each step and explain.
4.5(8-x)+36=102-2.5(3x+24)
Answers
Answer: x= -10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4.5(8−x)+36=102−2.5(3x+24)
(4.5)(8)+(4.5)(−x)+36=102+(−2.5)(3x)+(−2.5)(24)(Distribute)
36+−4.5x+36=102+−7.5x+−60
(−4.5x)+(36+36)=(−7.5x)+(102+−60)(Combine Like Terms)
−4.5x+72=−7.5x+42
−4.5x+72=−7.5x+42
Step 2: Add 7.5x to both sides.
−4.5x+72+7.5x=−7.5x+42+7.5x
3x+72=42
Step 3: Subtract 72 from both sides.
3x+72−72=42−72
3x=−30
You can do it from here
which of the following functions is graphed below?
Answers
Step-by-step explanation:
The correct answer is C buddy.
good luck ♥️♥️♥️♥️♥️.
again help, i don’t understand this at all
Answers
Answer:
The difference quotient of f is 8. Option C
Explanation:
Difference Quotient
Given a function f(x), the difference quotient is defined as
[tex]\displaystyle d=\frac{f(h+h)-f(x)}{h},\ h\neq 0[/tex]
The function provided in the question is
[tex]f(x)=8x+1[/tex]
Find f(x+h) by substituting x by x+h:
[tex]f(x+h)=8(x+h)+1[/tex]
[tex]f(x+h)=8x+8h+1[/tex]
Now compute:
[tex]\displaystyle d=\frac{8x+8h+1-(8x+1)}{h}[/tex]
Operating:
[tex]\displaystyle d=\frac{8x+8h+1-8x-1}{h}[/tex]
Simplifying:
[tex]\displaystyle d=\frac{8h}{h}[/tex]
d=8
A. Incorrect.
This choice is different from the answer.
B. Incorrect.
This choice is different from the answer.
C. Is correct
The difference quotient is 8 as explained above.
D. Incorrect.
This choice is different from the answer.
Tina runs 7.2 miles every day. James runs 2.7 miles every day. How much farther does Tina run than
James? Explain how you used mental math to determine the difference.
First,
2.7 to get . Then find 7.2 -Finally,
the difference to
find that Tina runs miles farther than James every day.
Answers
Answer:
she runs 5.5 more then james
Step-by-step explanation:
Two Friends met up for coffee and dessert. Each friend got a medium coffee and two cupcakes, and one friend bought a mug for $12.00. the medium coffee was 3.50. The friend who bought the mug paid for their order. The total was $29.00. What was the price of each cupcake?
Answers
Answer: each cupcake was 6.75
Step-by-step explanation: 12.00 + 3.50 =15.50 29.00- 15.50 is 13.50 divide by 2 boom 6.75 is each cupcake
what is the following sum in the simplest form √8+3√2+√22
Answers
Answer:
32
hope it helps
what is the answer plz help.
Answers
Answer:
0.2
Step-by-step explanation:
C.O.P-the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.
So to find that you would divide y by x.
In this case the dot is between 0 and 2 on y so it is 1 and between 4 and 6 on x so it is 5.
Then you would divide 1/5 and get 0.2 or you could look at the end of the graph and notice that the last point is at (10,2) and divide 2/10 and get the same thing.
HOPE THIS HELPS!!!
CAN ANYONE HELP ME IN DIS RQ!!!
Answers
Answer:
Hey!
Your answer is C!
Step-by-step explanation:
1. You must divide, 650/10. This is equal to 65.
2. Subtract 65 from 650. You will end up with 585.
To represent the amount that is left would be 9/10...
Now just put the 2 together to form...
[tex](\frac{9}{10} )[/tex] b, $585
I HOPE THIS HELPED YOU! :Pi need help it has to be correct
Answers
Answer:
BC = 14.40 correct to 1dp
Step-by-step explanation:
Sin44°= AC/BC
BC=AC/sin44°
BC=10/0.695
BC=14.3884892086330
BC = 14.40 correct to 1dp
Question 4 of 10
List all the factors of 33 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer here
SUBMIT
Answers
Solve for x: 1 over 3 (2x − 8) = 4. (1 point)
Answers
Explanation : Let's solve your equation step-by-step.
1
3
(
2
x
−
8
)
=
4
Step 1: Simplify both sides of the equation.
1
3
(
2
x
−
8
)
=
4
(
1
3
)
(
2
x
)
+
(
1
3
)
(
−
8
)
=
4
(Distribute)
2
3
x
+
−
8
3
=
4
Step 2: Add 8/3 to both sides.
2
3
x
+
−
8
3
+
8
3
=
4
+
8
3
2
3
x
=
20
3
Step 3: Multiply both sides by 3/2.
(
3
2
)
*
(
2
3
x
)
=
(
3
2
)
*
(
20
3
)
x
=
1
Find the missing coordinate so that the line through the point has the given slope
(-5,1) and (3,y) ; m= -5/8
Answers
WILL GIVE BRAINLIEST, PLS ANSWER ASAP
Answers
Answer:
THE THIRD CHOICE
Step-by-step explanation:
what is 8/3y=5/6x-2 in standard form?
Answers
Answer:
Y=5/16x -3/4
Step-by-step explanation:
3/8 * 8/3y=(5/6x -2) *3/8
y=5/16x - 3/4
The standard form of the equation is 5x -16y = 2.
It is required to find the standard form.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
According to given question we have,
The least common multiple of the fraction denominators is 6. Multiplying by that gives
16y = 5x -2
We can put this in standard form by adding 2-16y to both sides.
5x -16y = 2
Therefore, the standard form of the equation is 5x -16y = 2.
Learn more details about arithmetic here:
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Evaluate: 5/8 - (1/4)²
Answers
Answer:
5/8 - (1/4)^2 = 0.5625, hope this helps!
i need help feASFSfsefsfesefesfesfs
Answers
Answer:
sorry the screen is to blurry
Answer:
ok its this link is very useful for me thankyou soo much❤️ ok
what is 5 x 5?
- just ignore this question
Answers
Answer:
5x5=25
Step-by-step explanation:
5 x 5
= 5(1 + 0) x 5(1 + 0)
=5(1 + 1 - 1) x 5(1 + 1 - 1)
=5(2 - 1) x 5(2 - 1)
=(10 - 5) x (10 - 5)
=5 x 5 :0
=> 5 x 5 = 5 x 5 = 25
Can anyone please help me
Answers
Step-by-step explanation:
that's explanation
Maya and carlos was selling cookie dough for school fundraiser customers can buy packages of chocolate-chip cookie dough and packages of gingerbread cookie dough my sold 8 packages of chocolate chip cookie dough and 12 packages of gingerbread cookie dough for a total of $374 carlos o two packages of chocolate chip cookie dough and four packages of gingerbread cookie dough for a total of $113 final cost of one package of chocolate chip cookie dough and one package of gingerbread cookie dough
Answers
Answer:
Cost of chip cookies = $17.5
Cost of ginger cookies = $19.5
Step-by-step explanation:
Assume;
Cost of chip cookies = c
Cost of ginger cookies = g
So,
Maya's sales = 8c + 12g = 374 .....Eq1
Carlo's sales = 2c + 4g = 113 .......Eq2
4 x eq2
So
8c + 16g = 452......Eq3
Eq 3 - Eq 1
4g = 78
g = 19.5
and
c = 17.5
Cost of chip cookies = $17.5
Cost of ginger cookies = $19.5
Describe the relationship between volume, mass, and density. If a
marble with a density of 2.4 g/cm^3 was cut in half, what would be the
the density of half the marble?
Answers
Answer:
2.4 g/cm^3
Step-by-step explanation:
Density is the ratio of mass to volume (as the units g/cm^3 tell you). If you cut the marble in half, each piece will have half the mass and half the volume, so the density remains unchanged. It will still be ...
2.4 g/cm^3