Find all the zeros of x^3-5x^2-x+5
Answers
The zeros are x = -1, +1, +5.
___
A graphing calculator confirms this.
Related Questions
Use the substitution method to solve the system of equations. Choose the correct ordered pair. x + 2y = 12 –x = –y – 6
A. (9, 3)
B. (7, 1)
C. (6, 0)
D. (8, 2)
Answers
Answer: D
Step-by-step explanation:
The ordered pair of the system of equations is (8, 2).
Option D is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x + 2y = 12 _____(1)
x = 12 - 2y _____(2)
-x = -y - 6 _______(3)
Putting (2) in (3) we get,
-(12 - 2y) = -y - 6
-12 + 2y = -y - 6
-12 + 6 = -y - 2y
-6 = -3y
y = 2
Now,
y = 2 in (2)
x = 12 - 2 x 2
x = 12 - 4
x = 8
Thus,
The ordered pair is (8, 2).
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Nelson finds a video game for $38.50. The game is on sale for $31.57. What is the percent of discount on the game?
Answers
31.57 = ?
Multiply: 31.57 x 100 = 3,157
Divide: 3,157 ÷ 38.50 = 82%
100-82= 18% discount
The gym teacher is told that the average height of the girls in her physical education class is 5’4”, and the heights follow the normal distribution. She is told that 68% of the girls are 5’2” to 5’6” tall. She measures the height of each girl and finds that the heights do follow the normal distribution. Based on her findings, she determines that 95% of the girls will be 5’0” to 5’8” tall. Use your knowledge of normal distribution to select two options that will justify the gym teacher’s belief.
Answers
Please, see the attached file.
Thanks.
Final answer:
The gym teacher's belief is justified by using the empirical rule, which describes the distribution of data in a normal distribution. Since 68% of the girls fall within 1 standard deviation of the mean, it's likely that 95% fall within 2 standard deviations, supporting her height range belief.
Explanation:
The gym teacher's belief can be justified by understanding the properties of the normal distribution and the empirical rule. The empirical rule states that for a normal distribution:
Approximately 68% of the data will fall within 1 standard deviation (±1σ) of the mean.
Approximately 95% of the data will fall within 2 standard deviations (±2σ) of the mean.
Approximately 99.7% of the data will fall within 3 standard deviations (±3σ) of the mean.
In the teacher's class, 68% of the girls are between 5'2” and 5'6”, which is within 1 standard deviation of the mean height of 5'4”. Therefore, it's likely that 95% of the girls would fall within 2 standard deviations, which explains her belief that 95% of the girls would be between 5’0” to 5’8”.
Phil received a prize of x dollars from a poker tournament. The tournament cost him 100 dollars to enter. What were Phil's net winnings from the tournament? Write your answer as an expression.
Answers
Phil's net winnings from the poker tournament are represented by the expression 'x - 100', where x is the prize amount he won. To calculate his actual profit, we subtract the cost of entry (100 dollars) from his prize money.
Explanation:The student has asked what Phil's net winnings are from a poker tournament after he received a prize of x dollars and the entry to the tournament cost him 100 dollars. To answer this, we will create an expression to represent Phil's net winnings.
Net winnings are calculated by subtracting the cost of entering the tournament from the prize amount. Since Phil won x dollars and spent 100 dollars to enter, we subtract 100 from x.
Phil's net winnings = Prize amount - Entry cost
Phil's net winnings = x - 100 dollars
This expression shows the actual profit Phil made from participating in the tournament, after the cost of entry has been accounted for.
Final answer:
Phil's net winnings from the poker tournament can be expressed as x - 100, where x represents the prize money.
Explanation:
To find Phil's net winnings from the poker tournament, we need to calculate the difference between the prize money and the entry fee. Given that Phil received a prize of x dollars and the tournament cost him 100 dollars to enter, his net winnings can be expressed as:
x - 100
For example, if Phil won $500, his net winnings would be $500 - $100 = $400.
Over what interval is the growth rate of the function decreasing?
Answers
Galileo wanted to release a wooden ball and an iron ball from a height of 100100100 meters and measure the duration of their fall. He found a plane with an incline of 12^\circ12 ∘ 12, degree that he could climb until he could get to an altitude of 100\text{ m}100 m100, space, m. How far should Galileo walk up the inclined plane?
Answers
The Galileo walk 480.97 or 481 meters up the inclined plane if the Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have:
Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters.
The plane with an inclined an 12°
Let's suppose the Galileo walk x meters up the inclined plane.
As per right angle triangle, The ratio of Sin
[tex]\rm Sin12\° = \frac{100}{x}[/tex]
[tex]\rm x = \frac{100}{Sin12\°}[/tex]
Sin12° = 0.20791
x = 100/0.20791
x = 480.97 meters or
x = 481 meters
Thus, the Galileo walk 480.97 or 481 meters up the inclined plane if the Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall.
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1. What is the sum of the series?
2. What is the sum of the series?
Answers
3(1^2)+3(2^2)+3(3^2)+3(4^2)=90
Same for the next one, except this is for all values of k between 3 and 6:
(-5(3)+20)+(-5(4)+20)+(-5(5)+20)+(-5(6)+20)=-10
Answer:
1).90
2).-10
Step-by-step explanation:
1).
(3(1)^2)+(3(2)^2)+(3(3)^2)+(3(4)^2)
3 + 12 + 27 + 48
=90
2). (-5(3)+20)+(-5(4)+20)+(-5(5)+20)+(-5(6)+20)
(-15+20) + (-20+20) + (-25+20) + (-30+20)
5 + 0 + -5 + -10
=-10
One brand of cereal sells for $2.89 for 9 ounces. What is the unit
price per pound?
a. $.32
b. $4.29
c. $2.15
d. $5.14
ANSWER IS NOT A
Answers
Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need…
to make 1.5% of syrup
Answers
the syrup is going to be 5lbs total, that includes the sugar in it as well as the water mix.
keeping in mind that the syrup will be a 1.5% syrup, namely 1.5% of it will be sugar, the rest just water then, how much is 1.5% of 5?
well, is just(1.5/100) * 5 or 0.075, namely lbs.
so, 0.075 lbs will be sugar and the rest water, the rest will be 5 - 0.075, or 4.925 lbs.
Complete this statement: The sum of the measures of the exterior angles of an n-gon, one at each vertex, is _____ degrees.
a) 360
b) (n-2)180
c) [tex]\frac{(n-2)180}{n}
[/tex]
d) 180n
Please help ASAP.
Answers
Explanation:
The exterior angles of simple polygons add up 360°.
That is so because making the route of the exterior angles one by one takes you to make a complete revolution (turn), which as we know is 360 °.
You can see that if you draw any polygon and mark its exterior angles and translate all the segments (keeping the angles) to a common vertex. There you will see the angles cover all the circle, so the sum of the angles is 360°.
5 ×
1
2
= ?
A)
More than 5 because you are multiplying by a whole number
B)
5
10
because you multiply the numerator and denominator by 5
C)
Less than 5 because you are multiplying by a number that is more than 1
D)
Less than 5 because you are multiplying by a number that is less than 1
16)
Robert is running on a track that is 3
3
4
miles long. He has run 1
2
5
of a mile.
How many more miles are there until Robert reaches the end of the track?
A)
2
7
20
miles
B)
2
5
9
miles
C) 7 2/0
miles
D) 3 5/9
miles
Answers
3 3/4 - 1 2/5 = 47/20 or 2.35 or 2 7/20 So the answer would also be A.
I hope this helps!!!!!!!!!!!
Divide using synthetic division, and write a summary statement in fraction form. Two x cubed minus three x squared minus five x plus four divided by quantity x minus two.
2x2 + 7x + 9 + Twenty-two divided by quantity x minus two.
2x2 + x - 3 + Negative two divided by quantity x minus two.
2x2 - 7x + 11 + Eighteen divided by quantity x minus two.
2x2 + x + 3 + Ten divided by quantity x minus two.
Answers
Answer B: 2x²+x-3+(-2)/(x-2)
[tex] \begin{array}{cccccc}&|&x^3&x^2&x&1\\\\&|&2&-3&-5&4\\&|&&4&2&-6\\\\x=2&|&2&1&-3&-2\end{array}[/tex]
Help with this Geometry problem please
Answers
PLEASE HELP
8.03a
1. Find the vertices and foci of the hyperbola with equation x squared over nine minus y squared over sixteen = 1.
A) Vertices: (± 5, 0); Foci: (± 3, 0)
B) Vertices: (± 3, 0); Foci: (± 5, 0)
C) Vertices: (0, ± 3); Foci: (0, ±5)
D) Vertices: (0, ± 5); Foci: (0, ± 3)
2. Find the vertices and foci of the hyperbola with equation quantity x minus three squared divided by sixteen minus the quantity of y plus four squared divided by nine = 1.
A) Vertices: (7, -4), (-1, -4); Foci: (-2, -4), (8, -4)
B) Vertices: (-4, 7), (-4, -1); Foci: (-4, -2), (-4, 8)
C) Vertices: (6, -4), (0, -4); Foci: (0, -4), (6, -4)
D) Vertices: (-4, 6), (-4, 0); Foci: (-4, 0), (-4, 6)
3. Graph the hyperbola with equation A horizontal hyperbola is shown on the coordinate plane centered at, negative one, four, with vertices at, negative four, negative four and two, negative four. = 1.
A) A vertical hyperbola is shown on the coordinate plane centered at the origin with vertices at, zero, two and zero, negative two.
B) A horizontal hyperbola is shown on the coordinate plane centered at, negative three, three, with vertices at, negative five, three and negative 1, three.
C) A vertical hyperbola is shown on the coordinate plane centered at, three, negative three, with vertices at, three, negative one and three, negative five.
D) A horizontal hyperbola is shown on the coordinate plane centered at the origin with vertices at, negative two, zero and two, zero.
4. Find an equation in standard form for the hyperbola with vertices at (0, ±2) and foci at (0, ±7).
A) y squared over forty nine minus x squared over four = 1
B) y squared over forty five minus x squared over four = 1
C) y squared over four minus x squared over forty nine = 1
D) y squared over four minus x squared over forty five = 1
5. Find an equation in standard form for the hyperbola with vertices at (0, ±6) and asymptotes at y = ± three divided by four times x..
Answers
Please, see the attached files.
Thanks.
Which shows two triangles that are congruent by ASA?
Answers
The second one, as shown in the attached picture.
Further explanationThe ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles. The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.- - - - - - - - - -
Notes
The angle-side-side postulate for the congruent triangles doesn't exist because an angle and two sides don't guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non-included angle, then triangles don't seem to be necessarily congruent. This can be why there's no side-side-angle (SSA) and there's no angle-side- side postulate.The AAA (angle-angle-angle) postulate for congruent triangles does not work because having three corresponding angles of equal size is not enough to prove congruence. This principle is usually used for the similarity of two triangles.Learn moreAbout the lengths of the legs of the triangle https://brainly.com/question/13027296 About vertical and supplementary angles https://brainly.com/question/13096411 Calculate the measures of the two angles in a right triangle https://brainly.com/question/4302397PLEASE HELP ME PLEASE PLEASE
Answers
48 - 3x > 10
The second row makes the bottles grow. I wish this were true, but it is not.
After x gets to 13, she has dropped down below where she does not need to shop for more bottles.
48 - 3x > 10 Add 3x to both sides.
48 > 10 + 3x Subtract 10
38 > 3x Divide by 3
12 . 66666 So she can finish the 13th bottle but when she does, she has to go out and get more.
Only boxes less than 3 1/2 feet wide will fit through a doorway. Which measurements show the widths of three boxes that will fit through a doorway? Please help!! Choices:
A. 36 in., 42 in., 40 in.
B. 42 in., 43 in., 38 in.
C. 40 in., 37 in., 41 in.
D. 38 in., 40in., 42 in.
Answers
Solve for x.
3x2−6x+2=0
x=3±23√3
x=6±23√3
x=3±3√3
x=6±43√3
Answers
Answer:
[tex]\frac{3\±\sqrt{3}}{3}[/tex]
Step-by-step explanation:
Whe have the function [tex]3x^2-6x+2=0[/tex]
To solve this equation we must factor.
To factor, we need to find the points where the function is equal to zero. So we use the quadratic formula
[tex]\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
Where:
a = 3
b = -6
c = 2
Then
[tex]\frac{-(-6) + \sqrt{(-6)^2-4(3)(2)}}{2(3)} = \frac{3+\sqrt{3}}{3}\\\\and\\\\\frac{-(-6) - \sqrt{(-6)^2-4(3)(2)}}{2(3)}= \frac{3-\sqrt{3}}{3}[/tex]
finally the correct answer is [tex]\frac{3\±\sqrt{3}}{3}[/tex]
Final answer:
To solve the quadratic equation 3x² - 6x + 2 = 0, apply the quadratic formula with a=3, b=-6, and c=2, ultimately finding the solutions x = 1 + √(3) / 3 and x = 1 - √(3) / 3.
Explanation:
To solve the quadratic equation 3x² - 6x + 2 = 0, we can use the quadratic formula, which is x = (-b ± √(b² - 4ac)) / (2a) where a, b, and c are coefficients from the equation ax² + bx + c = 0. In this equation, it is given a = 3, b = -6, and c = 2. Substituting these values into the formula gives us:
x = (6 ± √((-6)² - 4 · 3 · 2)) / (2 · 3)
x = (6 ± √(36 - 24)) / 6
x = (6 ± √(12)) / 6
x = (6 ± 2 √(3)) / 6
x = 1 ± √(3) / 3
The two possible solutions for x are then x = 1 + √(3) / 3 and x = 1 - √(3) / 3.
Enya is building a storage cupboard in the shape of a rectangular prism. The rectangular prism has a square base with side lengths of 2.3 feet and a height of 3.6 feet. Use percentage to compare the amount of paint she would use to paint all but the bottom surface of the prism to the amount she would use to paint the entire prism. Round your final answer to the nearest tenth.
Enya will paint
________% of the surface area of the storage cupboard.
PLEASE HELP!!!
Answers
To compare the amount of paint Enya would use to paint all but the bottom surface of the storage cupboard to the amount she would use to paint the entire prism, calculate the surface area of the prism and the surface area of all but the bottom surface of the prism. Then, divide the surface area of all but the bottom surface by the surface area of the entire prism and multiply by 100. Round the final answer to the nearest tenth.
Explanation:To compare the amount of paint Enya would use to paint all but the bottom surface of the storage cupboard to the amount she would use to paint the entire prism, we need to calculate the surface area of the prism and the surface area of all but the bottom surface of the prism.
Step 1: Calculate the surface area of the prism by adding the areas of all its faces. The prism has two rectangular faces with dimensions 2.3 ft by 3.6 ft, two rectangular faces with dimensions 2.3 ft by 2.3 ft, and one rectangular face with dimensions 3.6 ft by 2.3 ft.
Step 2: Calculate the surface area of all but the bottom surface of the prism by subtracting the area of the bottom surface from the total surface area of the prism. The bottom surface has dimensions 2.3 ft by 2.3 ft.
Step 3: Calculate the percentage by dividing the surface area of all but the bottom surface of the prism by the surface area of the entire prism and multiplying by 100. Round the final answer to the nearest tenth.
It will take 4 people a total of 63 hours to build a deck. How many people are needed to build the same type of deck in 36 hours?
Answers
63/4 = 15.75
15.75
567
63 divided by 4 equals 15.75
So, each person holds 15.75 hours.
15.75 * 2 people = 31.5 hours, so that would not work.
15.75 * 3 people = 47.25, which is the closest you're going to get.
Correct answer: 3 people
Find the lateral area of the prism. 27 sq. ft. 36 sq. ft. 54 sq. ft. Find the total area of the prism. T.A.= Find the volume.
Answers
It is 54 because that is the ansewr to this question bra
How to simplify equation with 2 parenthesees multiplication?
Answers
Answer:
Distributive Property
Step-by-step explanation:
Use the distributive property to multiply each term in each parenthesis.
Example:
To simplify the expression (x-3)(x^2-4x-7), apply the distributive property. The distributive property states to multiply each term in each parenthesis.
x*x^2=x^3
x*-4x=-4x^2
x*-7=-7x
-3*x^2=-3x^2
-3*-4x=12x
-3*-7=21
This gives the expression x^3-4x^2-7x-3x^2+12x+21. Combine like terms and get x^3-7x^2+5x+21.
Is it possible for triangle JKL to be similar to triangle XYZ Explain.
Answers
J corresponds to X and they are both 71
K corresponds to Y and they are both 52 because 180-(71+57)= 52
L corresponds to Z and they are both 57 because 180-(71+52) = 57
Hope this helped :)
Answer: Yes it is possible for triangle JKL to be similar to triangle XYZ.
Step-by-step explanation:
Given: In ΔJKL
m∠J=71° , m∠K=52°
In ΔXYZ
m∠X=71° , m∠Z=57°
Using Angle sum property of triangle in ΔJKL, we have
m∠J+m∠K+m∠L=180°
⇒71°+52°+m∠L=180°
⇒m∠L=180°-123°
⇒m∠L=57 °
Now in ΔJKL and ΔXYZ , we have
m∠J=m∠X=71°
and m∠L= m∠Z=57°
Therefore , By AA-similarity criteria , we have
ΔJKL≈ΔXYZ
Hence, Yes it is possible for triangle JKL to be similar to triangle XYZ.
PLS PLS HELP, WILL GIVE BRAINLIEST-Kenard takes a square piece of cardboard and cuts 4 in. by 4 in. squares out of each corner. He folds the sides up to make a box without a top.
What equation can Kenard use to determine the volume of the box, where x is the side length of the original piece of cardboard?
Express the equation in standard form.
Enter your answer in the box.
Answers
Scott signed a two-year lease for a monthly rent of $505. How much will
he pay in rent over the term of his lease?
a. $13,130
b. $1,212
c. $6,060
d. $12,120
AGAIN WILL GIVE BRAINEST TO FIRST PERSON WHO ANSWERS
Answers
They pay $505 every month
24 months × $505 = $12,120 paid over the lease term.
answer is D.
There are 12 months in a year so since there were two years then you would ad 12+12. This would equal 24 then you would multiply that number by 505. You would then get the answer of 12,120$.
Hope this helps.
Trevor is going to Debra's Steakhouse and really wants filet for dinner and creme brulee for dessert. He knows that the probability of getting a filet at Debra's is 0.9 and the probability of creme brulee being a desert is 0.77. If he knows the two events are independent of one another, show the calculation for P(getting a steak and getting a creme brulee)
Answers
B (0.9)(0.77)
Answer:
(0.9)(0.77)
Step-by-step explanation:
(0.9)(0.77)
Since the two events are independent you can use the multiplication rule
helppppppppppppppppppppp
Answers
6x ^ 2-7x-3
We see where the denominator becomes zero:
6x ^ 2-7x-3 = 0
x1 = 3/2
x2 = -1 / 3
The function is discontinuous in those two points.
Therefore, it has vertical asymptotes in:
x1 = 3/2
x2 = -1 / 3
answer:
has vertical asymptotes in:
x1 = 3/2
x2 = -1 / 3
option 1
Mark Y inside regular pentagon PQRST so that PQY is equilateral Is RYT straight? explain
Answers
By the same logic, ∠Q in our pentagon is 108°. Since ΔPYQ is equilateral, ∠PQY = 60°. That means that ∠YQR = 108-60 = 48°. Since QR = QY, ΔQYR is isosceles, which means the base angles are congruent. We take 180-48 = 132 and divide that by 2 to get each base angle, ∠QYR and ∠QRY, is 66°. Looking at the 3 angles around point Y: If ∠RYT is a straight angle, these 3 along this path should add up to 180°. We have ∠PYT=66° + ∠PYQ=60° + ∠QYR=66° for a total of 192°. Therefore ∠RYT is not a straight angle.
How do you work out 5 2/3 - 2 3/4 ???
Answers
i worked out the problem and I attached the picture
Describe the end behavior of the function f(x) = 3 − 4x + 6x2 − 5x3.
Answers
we are given
[tex]f(x)=3-4x+6x^2-5x^3[/tex]
we can see that this is polynomial
so, firstly we will find degree and leading coefficients
Degree:
It is the highest exponent of the polynomial
highest exponent is 3
so, degree=3
which is odd
Leading coefficient:
It is the constant term multiplied to highest exponent term
we can see that
constant term is -5
so, leading coefficient is -5
which is negative
End behavior:
degree is odd and leading coefficient is negative
so, it rises to left and falls to right
or we can also write as
[tex]x-->-\infty, y-->\infty[/tex]
[tex]x-->\infty, y-->-\infty[/tex]
Answer:
Ends up in Quadrants II and IV
Step-by-step explanation:
Since the leading coefficient is −5 and the degree is 3, the function has the behavior described.