Find the zeros of f(x)=x^3-5x^2-x+5 by factoring
Answers
Answer:
-1, 1, 5
Step-by-step explanation:
Factor by grouping:
Factor out x² from the first two terms:
f(x) = x³ - 5x² - x + 5
f(x) = x²(x - 5) - x + 5
Factor out -1 from the last two terms:
f(x) = x²(x - 5) -1(x - 5)
Then, put the two terms together:
f(x) = (x² - 1)(x - 5)
(x² - 1) is a difference of squares that can be factored further:
f(x) = (x + 1)(x - 1)(x - 5)
Set this equal to 0, and set each factor equal to zero. Then, solve for x:
x + 1 = 0
x = -1
x - 1 = 0
x = 1
x - 5 = 0
x = 5
So, the zeroes are -1, 1, and 5
Answer:
(x-1)(x-5)(x+1)
Step-by-step explanation:
HOPE YOU UNDERSTOOD! !
Related Questions
Suppose that the amount of snowfall per storm in Lincoln is normally distributed with µ = 4.2 inches and standard deviation µ = 2.3 inches (totally made up data). If the mayor decides that only the top 5% of storms should have school cancelled, what is the cutoff snowfall for school to be cancelled?
Answers
Answer:
7.9835
Step-by-step explanation:
Given that :
Mean snowfall per storm (µ) = 4.2 inches standard deviation (s) = 2.3 inches
Only the top 5% of storm should result in school being canceled :
Cut off snowfall for school to be canceled '
P(Z ≥ 5%) ; p(Z ≥ 0.05) = 1.645
Using the z relation :
Z = (x - m) / s
1.645 = (x - 4.2) /2.3
x - 4.2 = 2.3 * 1.645
x - 4.2 = 3.7835
x = 3.7835 + 4.2
x = 7.9835
Cut off snowfall for school to be canceled 7.9835
Answer:
hopes this photo helps
PLEASE ITS EASY I FOGOT HOW TO DO IT
Answers
Answer:
x> -1
Step-by-step explanation:
Open circle means > or <
6 3/4 plus 2 1/4 divided by 7/8
Answers
Answer: 72 over 7
Step-by-step explanation: Hoped this helped you
Answer:
[tex]6 \frac{3}{4} + 2 \frac{1}{4}[/tex] × [tex]\frac{8}{7}[/tex]
Decimal Form: 9.32
Step-by-step explanation
Helpppppp pleaseeeee
Save me from this questionnnnn
Answers
x = -3
Hoped I help
Why is it important for mathematicians to graph functions? Select all that apply.
A. For them to determine if a function can be inverted.
B. For them to visualize the function.
C. For them to extrapolate beyond the known data.
D. For them to determine if the function can be graphed.
E. For them to determine characteristics of the function.
Answers
Answer:
e
Step-by-step explanation:
s
The manufacturer of a certain brand of lightbulbs claims that the variance of the lives of these bulbs is 4100 square hours. A consumer agency took a random sample of 26 such bulbs and tested them. The variance of the lives of these bulbs was found to be 5900 square hours. Assume that the lives of all such bulbs are (approximately) normally distributed. Test at the 20% significance level whether the variance of such bulbs is different from 4100 square hours. a)The value of the test statistic x is 15.743; we fail to reject the null hypothesis. b)The value of the test statistic x is 32.859; we fail to reject the null hypothesis. c)The value of the test statistic y is 32.859; we reject the null hypothesis. d)The value of the test statistic is 35.976; we fail to reject the null hypothesis. e)The value of the test statistic is 15.743; we reject the null hypothesis. f)The value of the test statistic x is 35.976; we reject the null hypothesis.
Answers
Answer:
124345
Step-by-step explanation:
Is the following relation a function?
Yes
or
No
Answers
Answer:
no
Step-by-step explanation:
Answer:
I think that it is yes but not sure
△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has length 217−−√ units, find the length of AC¯¯¯¯¯¯¯¯.
Answers
Given:
In △ABC is a right angle triangle.
AC is 6 units longer than side BC.
[tex]Hypotenuse=2\sqrt{17}[/tex]
To find:
The length of AC.
Solution:
Let the length of BC be x.
So, Length of AC = x+6
According to the Pythagoras theorem, in a right angle triangle
[tex]Hypotenuse^2=Base^2+Perpendicualar^2[/tex]
△ABC is a right angle triangle and AC is hypotenuse, so
[tex](2\sqrt{17})^2=(x)^2+(x+6)^2[/tex]
[tex]68=x^2+x^2+12x+36[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
Subtract 68 from both sides.
[tex]0=2x^2+12x+36-68[/tex]
[tex]0=2x^2+12x-32[/tex]
[tex]0=2(x^2+6x-16)[/tex]
Divide both sides by 2.
[tex]x^2+6x-16=0[/tex]
Splitting the middle term, we get
[tex]x^2+8x-2x-16=0[/tex]
[tex]x(x+8)-2(x+8)=0[/tex]
[tex](x+8)(x-2)=0[/tex]
[tex]x=-8,2[/tex]
Side cannot be negative, so x=2 only.
Now,
[tex]AC=x+6[/tex]
[tex]AC=2+6[/tex]
[tex]AC=8[/tex]
Therefore, the length of AC is 8 units.
A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be five times the amount of vinegar. How much of each ingredient is needed in order to make 15 oz of furniture polish?
Answers
Answer:
Missing Information.
HONORS INLY:
5. Find the measurements of the angles
marked with x, y and z.
(Isosceles triangle theorem
Answers
Answer:
x = 55°
y = 70°
z = 125°
Step-by-step explanation:
Based on the Isosceles triangle theorem, since two sides of the triangle are congruent, therefore, the angles opposite to each of the equal sides are congruent.
Thus:
x = 180° - 125° (angles on a straight line/linear pair)
x = 55°
If x = 55°, the other base angle will also be 55°.
Therefore,
y = 180° - (55° + 55°) (sum of ∆)
y = 70°.
z = x + y (exterior angle of a ∆ theorem)
z = 55° + 70° (substitution)
z = 125°
I'll brainlist!!
Plant A is 18 inches tall after one week, 36 inches tall after two weeks, 56 inches tall after three weeks. Plant B is 18 inches tall after one week, 36 inches tall after two weeks, 54 inches tall after three weeks. Which situation represents a proportional relationship between the plants?
Height and number of weeks?
Answers
Answer:
There are 2 given situations:
Plant A and Plant B growing in 3 weeks. Find which plant grows proportional
Plant A
=> 1st week = 18 inches
=> 2nd week = 36 inches
=> 3rd week = 56 inches
=> 18 + 18 = 36 + 20 = 56
Thus, this is not proportional
Plant B
=> 1st week = 18 inches
=> 2nd week = 36 inches
=> 3rd week = 54 inches
=> 18 + 18 = 36 + 18 = 54 inches
thus, the growth of this plant is proportional
I NEED HELP ASAP PLZ!!!!
A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3.
There are eight more large marbles than small marbles. How many total marbles are in the bag? [Type your answer as a number.]
Answers
Answer:
There would be four small marbles and twelve large marbles so your answer should be sixteen marbles in total
Step-by-step explanation:
18 divided by 4
Please help
Answers
Answer:
Step-by-step explanation: 4.5
Answer:
4.5
Step-by-step explanation:
18/4=4.5
hope this helps :3
if it did pls mark brainliest
HURRY PLEASE!! I NEED TO TURN THIS IN TODAY!!
I WILL GIVE YOU BRAINLIEST!
i need the equation you solved it with too.
Answers
Answer:
I cant tell you the answer but multiply 3x1 then 137 by 2 then add the 3x1 and the 137 x 2 all together and you get the answer
Which equation represents Which equation represents the vertical line passing through (1,-9)?
A.
x = -9
B.
x= 1
C.
y=-9
D. y=1
Answers
Equation x = 1 represents the vertical line passing through (1 ,-9).
What is equation of line ?" Equation of a line is defined as an algebraic expression which is represented by linear equation in two variables with highest degree 1. Minimum two coordinates required to draw a line."
According to the question,
Coordinates in the plane represented by (x, y)
We have
Line passing through the point = (1 ,-9)
x = 1 for different values of y represents a line perpendicular to x-axis.
Therefore,
Vertical line passing through (1, -9) is equals x = 1.
Hence, Option(B) is the correct answer.
Learn more about equation of line here
https://brainly.com/question/21511618
#SPJ2
A football team loses 2 yards every 5 minutes. How many yards did the team lose after 15 minutes?
Answers
Step 1:Choose the lowest common denominator
Find the sum of 1/5 and 7/10
The expression written in equation from with common denominator is______
The sum is___
Answers
Answer:
-6/8 +5/8 and -1/8
Step-by-step explanation:
just got done doing it.
Multiply: 1/ 3 × 2 /5 To find the product, the numerators and the denominators. The product is . Divide: 2/ 5 ÷ 3/ 5 To divide, multiply by the . The quotient is .
Answers
Multiply: 1
3
× 2
5
To find the product,
✔ multiply
the numerators and
✔ multiply
the denominators.
The product is
✔ 2/15
.
Divide: 2
5
÷ 3
5
To divide, multiply by the
✔ reciprocal
.
The quotient is
✔ 2/3
.
Edg 2020 :)))))))
The multiplication result to 2/15 and division result to 2/3.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/ 3 × 2 /5
Now, to multiply we have multiply numerator and denominator.
1/ 3 × 2 /5
=(1 x 2)/ ( 3 x 5)
= 2 /15
Now, 2/ 5 ÷ 3/ 5
We have to divide the fraction.
Fraction does not support division.
So,2/ 5 ÷ 3/ 5
= 2/5 x 5/3
= 2/3.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ2
Identify the like terms in the expression below: 6w2+11w+8w2−15w
Answers
Answer:
14w 2 − 4w
Step-by-step explanation:
1. Determine whether line KM and line ST are Parallel, Pers
Line KM has a slope of 5/8
Line ST has a slope of -8/5
Answers
Answer:
Since the slope of KM and ST are different, they are not parallel
Step-by-step explanation:
Slope of line KM = [tex]\frac{5}{8}[/tex]
Slope of ST = [tex]-\frac{8}{5}[/tex]
Determine whether the lines are perpendicular;
Solution:
We can use the slope of a line to determine whether they are perpendicular or parallel to one another.
Parallel lines do not meet one another
Perpendicular lines cross one another at an angle of 90°
Two lines are parallel if their slopes are the same;
Since the slope of KM and ST are different, they are not parallel
Father to his first biological son true or false?
Answers
Answer:
True
Step-by-step explanation:
have a great day!
Chloe is remodeling her living room and wants to put down new wood floors. The wood floors cost $8.50 per square foot to buy and install. If her living room has an area of 156.5 square feet, how much will the new floors cost?
Answers
Answer:
1 330,25
Step-by-step explanation:
8.50x156,6=1330,25
Please help its important!!
Triangle ABC in the figure above represents the area serviced by a shipping company that plans to build a distribution center at the incenter of the triangle located at point E. A circle is constructed to represent the location of the center. The diameter of the circle is 28 miles. The existing road is perpendicular to the incenter and the company is looking to build 2 more perpendicular roads but connecting the other 2 sides of the triangle. How many more miles of road will be needed?
Select one:
A. 28
B. 34
C. 43
D. 56
Answers
Answer:
A. 28
Step-by-step explanation:
A. 28
step 1.
We know that the diameter of the circle inscribed within the triangle is 28 miles, and we know that E is the incenter of triangle ABC.
step 2.
Next, we learned that the perpendicular legs from the incenter to the sides of the triangle are congruent, and we know that the radius of a circle is 1/2 of the diameter of the circle.
step 3.
Since the diameter of the circle is 28, we know the distance of segment DE is 14. Next, we know the perpendicular legs are equal to segment DE. Thus, we can solve for the amount of additional miles of road by writing 14 + 14 = 28.
Use Newton's method to approximate the given number correct to eight decimal places. 4√73
Answers
Answer:34.17601498.
Step-by-step explanation:
Newton's method of approximation is used to approximate values.
The value of [tex]\mathbf{4\sqrt{73}}[/tex] is 34.17601498
Let the number be x.
So, we have:
[tex]\mathbf{x = 4\sqrt{73}}[/tex]
Square both sides
[tex]\mathbf{x^2 = 1168}[/tex]
Subtract 1168 from both sides
[tex]\mathbf{x^2 - 1168 = 0}[/tex]
Express as a function
[tex]\mathbf{f(x) = x^2 - 1168 }[/tex]
Set x1 to 73/2.
So, we have:
[tex]\mathbf{x_1 = \frac{73}{2} = 36.5}[/tex]
Where:
[tex]\mathbf{x_{n+1} = x_n- \frac{x_n^2-1168}{2x_n}}[/tex]
So, we have:
[tex]\mathbf{x_{1+1} = x_1- \frac{x_1^2-1168}{2x_1}}[/tex]
[tex]\mathbf{x_{2} = x_1- \frac{x_1^2-1168}{2x_1}}[/tex]
This gives
[tex]\mathbf{x_{2} = 36.5- \frac{36.5^2-1168}{2 \times 36.5}}[/tex]
[tex]\mathbf{x_{2} = 34.25}[/tex]
[tex]\mathbf{x_{3} = x_2- \frac{x_2^2-1168}{2x_2}}[/tex]
[tex]\mathbf{x_{3} = 34.25- \frac{34.25^2-1168}{2 \times 34.25}}[/tex]
[tex]\mathbf{x_{3} = 34.1760948905}[/tex]
[tex]\mathbf{x_{4} = x_3- \frac{x_3^2-1168}{2x_3}}[/tex]
[tex]\mathbf{x_{4} = 34.1760948905- \frac{34.1760948905^2-1168}{2\times 34.1760948905}}[/tex]
[tex]\mathbf{x_{4} = 34.1760149814}[/tex]
[tex]\mathbf{x_{5} = x_4- \frac{x_4^2-1168}{2x_4}}[/tex]
[tex]\mathbf{x_{5} = 34.1760149814- \frac{34.1760149814^2-1168}{2\times 34.1760149814}}[/tex]
[tex]\mathbf{x_{5} = 34.1760149813}[/tex]
The values of x4 and x5 are the same up till the 8th decimal place.
Hence, the value of [tex]\mathbf{4\sqrt{73}}[/tex] is 34.17601498
Read more about Newton's method of approximation at:
https://brainly.com/question/14279052
help please I’m struggling badly because Im sooo bad at math
Answers
Answer:
40˚ degrees
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Here is a list of numbers 5 -17 -3 17 -6 -17 19 -14 -20 state the median.
Answers
Answer:
the answer is -6
Step-by-step explanation:
the median is the number that is directly in the middle of a sequence of numbers
fill in the blanks thanks
Answers
Answer:
Um threre is no blanks or there is no question.
Step-by-step explanation:
Every triangle must have an acute angle. True or false?
Answers
Answer:
This is true every triangle has to have 1 acute angle.
Step-by-step explanation:
y = 3x. How do you graph it???
Answers
Answer:
If you go to desmos.com, select the graphing calculator, and enter in y = 3x you should be able to see how it's graphed! Hope this helps!
Answer:
(0, 0) and (1, 3)
happy to help!
Multiply 8674 x 678 is what
Answers
Answer:
5880972
hope it helps..
