The zeros of the polynomial x3 + 2x2 - x - 2 are -1, -2 and 4.
The given polynomial is x3 + 2x2 - x - 2. To find the zeros of this polynomial, we need to solve the equation x3 + 2x2 - x - 2 = 0.
Rewrite the equation as x3 + 2x2 - x - 2 = 0.
Factor the equation.
Set each factor equal to zero and solve for x.
(x + 2)(x2 - x - 1) = 0
x + 2 = 0
x = -2
(x2 - x - 1) = 0
x2 - x - 1 = 0
x2 - 1x - 1 = 0
Apply the quadratic formula to solve for x.
x = [-b ± √(b2 - 4ac)] / 2a
x = [(-1) ± √(1 - 4*1*(-1))] / 2*1
x = [(-1) ± √(5)] / 2
x = [-1 ± √5] / 2
x = [(-1 + √5) / 2] and [(−1 - √5) / 2]
Simplify the solutions and find the zeros of the polynomial.
x = (-1 + √5) / 2 and x = (-1 - √5) / 2
Therefore, the zeros of the polynomial x3 + 2x2 - x - 2 are -1, -2 and 4.
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Write an equation of a line perpendicular to x = -7 and passes through the
point (4,9).
Answer:
y = 9
Step-by-step explanation:
The line x = -7 is a vertical line, so the perpendicular line will be horizontal.
Horizontal lines have a slope of 0.
Using this slope and the point given, plug them into y = mx + b to solve for b and create the equation
y = mx + b
9 = 0(4) + b
9 = b
Plug this and the slope into the equation:
y = mx + b
y = 0x + b
y = 9
So, y = 9 is the equation
Write the vertex form of the quadratic equation.
y=x – 6x + 5
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
y= (x-3)^2 -4
Step-by-step explanation:
joão has 7 apples if he gives joana 3 and matilde 4 how many did he have?
What is X?
in decimal form plz
please help me I will mark your brainiest !!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The right answer is D, "n" can be any value greater than 2
Step-by-step explanation:
If variable "n" was any value less than or equal to 2, then the inequality would be less than or equal to 16, which isn't valid. So "n" has to be any value greater than 2.
anyone knows this?!!?
Answer:
is that just 1/2 lol i think but if u want add me on disc Andreww#6506
Step-by-step explanation:
7/10 - ___ + 3/2 = 6/5 ??????
Help me please
Answer:
1
Step-by-step explanation:
make all fraction have the same denominator:
7/10 - x + 15/10 = 12/10
isolate x: 12/10 - 7/10 - 15/10 ---> -x = -10/10
divide by 1 x = 10/10 or 1
x = 1
Answer:
1
Step-by-step explanation:
Let the no. be x
7/10-x+3/2=6/5
-x=6/5-3/2-7/10
-x=-10/10
-x=-1
x=1
Hope it helps
Please help with 3 thank you!
Answer:
Step-by-step explanation:
Helppppp plsss
180 35 what is x
An orchand has 8 times more apple trees than pear trees. There are 981 trees in all. How many more apple trees are there
Answer:
763
Step-by-step explanation:
there are 763 more apple trees than pear trees
Step-by-step explanation:
so, first we write the words into equations.
8P = A because there are 8x apples per x pear, so to make it equal we must multiply pears by 8. P+A = 981. replacing "A" in the second equation with "8P" to get P+8P=981=9P divide both sides by 9 to get 109 pear trees. knowing this we can get 981-109=A=872 apple trees. the problem asks for A-P which we can replace the numbers to get (872)-(109)=763 more trees
Answer:122.625
Step-by-step explanation:981 divided by 8 equals 122.625
i will give brianlist
Answer:
Hello! :) have a good day!
(10x+6)4 = 40x +24
write an equation for a line perpendicular to y=-2x+1 and passing through the point (-4,3)
Answer:
Step-by-step explanation:
The reference line has a slope of -2. A perpendicular line will have a slope, m, that satisfies
-2m=-1, so it will have a slope of 1/2 then our line y=mx+b becomes
y=x/2+b, using point (-4,3) we have
3=-4/2+b
3=-2+b
b=5 so our line is
y=x/2+5 or more neatly
y=(x+10)/2
What is the sum? Question 1 of 60
Answer:
A
Step-by-step explanation:
2+3=5 and if you add 1 to 7 you get 8 and that would make a whole and whole is 1 so you add 1 to 5
Answer:
2 1/8 + 3 7/8 = 6
A. 6
Step-by-step explanation:
2 + 3 = 5
1/8 + 7/8 = 8/8
8/8 = 1 whole
5 + 1 = 6
HOPE THIS HELPS!!!!!
Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen are provided. Let represent the average of the trap spacing measurements for the population of red spiny lobster fishermen fishing in a particular region. The mean and standard deviation of the sample measurements were previously computed to be x=89.4, and s=11.4 meters respectively. Suppose the fishermen want to determine if the true value of differs from 95 meters
lee el texto y sustituye las palabras resaltadas por frases adverbiales que expresen temporalidad
Answer:
............. ahi esta la respuesta
Please Answer and Explain Thanks
The equation y+4x=100 represents your distance y (in meters) from the
finish line x seconds after you begin your leg of a relay race. The equation
y+3.8x=96 represents your opponent’s distance from the finish line.
How far do you need to run until you catch up to your opponent?
Calculate the slope of the line on the graph using the formula: m=y2-y1/x2-x1
The slope of the line is __ m/s
Answer:
4 m/s
Step-by-step explanation:
HELP ASAP WILL GIVE BRAINLEST TO CORRECT ANSWER
What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for pi
diameter = 3 ft
A. 4.71 ft
B. 9.42 ft
C. 18.84 ft
D. 7.07 ft
Circumference = Pi x diameter
Circumference = 3.14 x 3 feet
Circumference = 9.42 feet.
The answer is B. 9.42 feet
452% as a decimal and as a fraction in simplest form
Answer:
decimal form: 4.52
fraction: 4 13/25
Step-by-step explanation:
Answer:
Decimal 4.52
Fraction 4 13/25
Please help ASAP! giving 100 points Use a decimal number to describe the shaded amount.
0.2
0.5
0.05
0.15
Answer:
B. 0.5
Step-by-step explanation:
There are 10 circles in total. 5 are shaded in.
We would make that a fraction.
5/10
Then we would convert it to a percent
50%
Then we will convert it to a decimal
0.5
Therefore, your answer would be B. 0.5
What part of an hour elapses from 3:12 PM to 5:30 PM?
Answer:
3:18
Step-by-step explanation:
From 3:12 PM to 5:12 PM it's 3 hours.
From 5:12 PM to 5:30 PM it's 18 minutes.
Total elapsed time: 3:18
I don't know why the question asks "what part of an hour" when the answer is more than 3 hours.
Tina and Lane share a 16-ounce box of cereal. By the end of the week, Tina has eaten 3/8 of the box, and Lane has eaten 1/4 of the box of cereal. How many ounces are left in the box?
Answer:6 ounce of cereal are left in the box
Step-by-step explanation:
Total amount of cereal = 16 ounce
Amount of cereal eaten by Tina= 3/8 X16= 6ounce
Amount of cereal eaten by Lane= 1/4 X16= 4ounce
Amount of cereal left = Total amount of cereal -Amount of cereal eaten by Tina and Lane
=16- ( 6+4)
16-10
= 6 ounce of cereal remaining
Johnisha paid $144 for 36 ice cream cones. She incorrectly calculates the cost per cone
to be $0.25 each.
Which statement identifies the error Johnisha most likely made in determining the cost per
cone and describes the correct method for determining the cost per cone?
Examine the following table.
Does this table represent a probability distribution?
Explain your answer.
a. Yes, because the sum of the probabilites is less than one.
b. Yes, because the sum of the probabilities is more than one.
C. No, because the sum of the probabilities is more than one.
d. No, because the sum of the probabilities is less than one.
Answer:
the answer is c
Step-by-step explanation:
edge 2020
The correct option is (C). No, because the sum of the probabilities is more than one.
What is probability distributionIn mathematics, a probability distribution is a function that expresses the likelihood of many possible values for a variable. Graphs and probability tables are common ways of displaying probability distributions.
In the given table, the probabilities are,
P(x) = 0.2, 0.3, 0.4, 0.1 and 0.05.
The sum of the probabilities = 0.2 + 0.3 + 0.4 + 0.1 + 0.05
= 1.05
Since, the sum of the probabilities is more than one, therefore, the table does not represent the probability distribution.
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The value of C has to be Greater than 0.65
Answer:
1.3
Step-by-step explanation:
1. .65 = .5c ---> .65/.5
2. 1.3 = c
-5 = x - 5
Solve the following equation
Answer:
0
Step-by-step explanation:
which number is greater tha 9/4
Answer:
9
Step-by-step explanation:
the biggest number gets eaten by the alligator
Jimarcus plans to build a free fence 5 1/3 yards long at the back of his garden. How many 2/3- yard sections of fence will he need
Answer:
8
Step-by-step explanation:
Jimarcus plans to build a fence of 5 1/3 yards longs
He want to divide it into 2/3 yard sections
Therefore the number that will be produced can be calculated as follows
= 5 1/3 ÷ 2/3
= 16/3 ÷ 2/3
= 16/3 × 3/2
= 16/2
= 8
find the value of X
Answer:
x = 50.6 cm
Step-by-step explanation:
ΔMAB ≈ ΔNMP
set up a proportion: MA / MN = MB / MP
MA = 46.2 - 14
MA = 32.2
32.2 / 46.2 = x / 72.6
cross-multiply:
46.2x = 2337.72
x = 50.6
What are the solutions of the quadratic equation below?
x²-4x-6=0
Answer: x=2±√10 or x=5.16227766
Step-by-step explanation: