Which statement describes the graph of this polynomial function?
f(x)= x4+ x3 - 2x2
The graph crosses the x-axis at x = 2 and x = -1 and touches the x-axis at x = 0.
The graph touches the x-axis at x = 2 and x = -1 and crosses the x-axis at x = 0.
O The graph crosses the x-axis at x = -2 and x = 1 and touches the x-axis at x = 0.
The graph touches the x-axis at x = -2 and x = 1 and crosses the x-axis at x = 0.
Answers
Answer:
Option (3)
Step-by-step explanation:
Given function is,
f(x) = x⁴ + x³ - 2x²
= x²(x² + x - 2)
= x²(x² + 2x - x - 2)
= x²[x(x + 2) - 1(x + 2)]
= x²(x + 2)(x - 1)
So the factored form of the polynomial function is,
f(x) = x²(x + 2)(x - 1)
For x - intercepts,
F(x) = x²(x + 2)(x - 1) = 0
x = -2, 1
This function has even multiplicity = 2 at x = 0.
Therefore, graph of the function will touch the x-axis at x = 0
And at other roots x = -2, 1 has odd multiplicity = 1, so the graph will cross the x-axis.
Option (3) will be the correct option.
Related Questions
(3x+23x +32) = (x+6)
Answers
Answer:
x = -26/25
Step-by-step explanation:
(3x+23x +32) = (x+6)
Combine like terms
26x +32 = (x+6)
Subtract x from each side
26x -x +32 = x+6-x
25x +32 = 6
Subtract 32 from each side
25x+32 -32 = 6-32
25x = -26
Divide each side by 25
25x/25 = 26/25
x = -26/25
simplify 4a X 6b -3c
Answers
24 abx - 3c
3 multiplied by what gives me 55.50
Answers
Answer:
18.5
Step-by-step explanation:
Divide 55.5 by 3 (working backwards to find your answer)
Then you will get 18.5!
Answer:
18.5
Step-by-step explanation:
divide 55.5 by 3 and you get 18.5.
Which decimal is equivalent to -3 1 over 8
Answers
Answer:
-3.13 or -3.125
Step-by-step explanation:
A must-have for any thrill seeker is a drop tower ride. The Precipice Plummet will stand 420 feet tall. The scale in your architectural diagrams is 1":40'. How tall will your drawing of Precipice Plummet be in inches? (do not include units in your answer, just the number
Answers
The answer is 10.5, but don't put 10.5 if it's just asking for the number and not the unit only put (10)!!!
Please do this if multiple people answer I will give the best one brainliest
Answers
-7 and 3
-3 and -1
Juanita is buying a cover for her motorcycle which has a length of 7.5 feet if the covers are only sold in whole foot increments what size covers should Juanita buy
Answers
Answer:
Size of the cover should Juanita buy is 8 feet.
Step-by-step explanation:
Given: The length of the motorcycle is 7.5 feet.
To find: The size of the cover of motorcycle.
The length of the motorcycle is 7.5 feet. But the covers are only sold in whole foot increments.
So, Juanita should buy 8 feet long cover for motorcycle.
The shortest distance between two points is a straight line. Explain this statement in terms of the triangle inequality theorem
Answers
Answer:
the answer would be.......
Step-by-step explanation:
a straight line is the shorest distance because a triangle only has straight lines
Can someone pls help me?
Answers
Answer:
the answet is false
Step-by-step explanation:
it os false cause it is curved and not completely straight
Use the distributive property to expand the expression (8x + 3y) - (5z + 3)
Answers
8x + 3y - 5z -3
Question 7 Elijah is planning a circular flower garden with a 12 foot diameter. He will put plastic edging along the flowerbed. How many feet of edging will Elijah need to enclose his flower garden? Round to the nearest tenth place. (Use 3.14 for pi)
If you don't know please don't try and help.
Answers
Answer:
37.7 ft
Step-by-step explanation:
c=πd (circumference= 3.14*diameter)
c=3.14*12
c=37.68 ft
rounded to tenths place-37.7 ft
In 1846 the depth of the river was 2.5 feet deep.
In 1847 it rose 17%.
This year, 1848, it dropped 13%.
Complete the table to find the depth of the river this year.
Answers
Answer36:
Step-by-step explanation:
What is parallel to y = -2x + 10
Answers
Answer:
Any line with the slope of -2 and a y intercept other than 10 will be parallel to this line.
Step-by-step explanation:
Parallel lines have the same slopes but different y y-intercepts
PLEASE HURRY WILL GIVE BRAINLIEST TO FASTES PERSON
Answers
Answer:
First is True Second is False Third is True Fourth is False and the last one is False
Step-by-step explanation:
Please give Brainliest
helpppppp it’s urgenttttttttt!!!!!
Answers
Find the value of 17.64
Answers
Answer:
4.2
Step-by-step explanation:
I will mark you brainiest if you can answer this
Answers
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 40 N acts on a certain object, the acceleration
of the object is 10 m/s. If the acceleration of the object becomes 6 m/s?, what is the force?
Answers
Answer:
New force = 24 N
Step-by-step explanation:
The force acting on the object varies directly with the object's acceleration
i.e.
[tex]\dfrac{F_1}{F_2}=\dfrac{a_1}{a_2}[/tex] ...(1)
We have,
F₁ = 40 N, a₁ = 10 m/s², a₂ = 6 m/s₂, F₂ =?
Put all the values in equation (1).
[tex]F_2=\dfrac{F_1a_2}{a_1}\\\\F_2=\dfrac{40\times 6}{10}\\\\F_2=24\ N[/tex]
So, the new force becomes 24 N.
z + .25z = 1.25z
z has
Answers
Step-by-step explanation:
1.25x=1.25x
1.25x *100=1.25x *100
125x=125x
125x-125x=125x-125x
0=0
What is 3/8 +5/12? I need help :>
Answers
Answer:
19/24
Step-by-step explanation:
3/8+5/12
3*3/8*3+5*2/12*2
9/24+10/24
9+10/24
19/24
Brayden read 2 books in 6 months. What was his rate of reading in months
per book?
Answers
Answer:
It took Brayden 3 months to complete a book.
Step-by-step explanation:
6 divided by 2 = 3
It took 25.5 bottles to fill the cooler and each bottle contained 1.8 litters. How many litters are in the cooler
Answers
Answer:
Step-by-step explanation:45.9 liters
It took 25.5 bottles to fill the cooler and each bottle contained 1.8 liters. Hence, the amount of water that the cooler will hold is equal to the total amount of water in 25.5 bottles. Amount of water in 1 bottle=1.8 liters. =45.9 liters.
10. Use substitution to solve the system of equations below.
- x + 2y = 5
3x - 5y =-11
Answers
Answer:
the answer for y is 4 and x is 3
y=4
x=3
What is 287.7 round to the nearest hundredth
Answers
Answer:
287.70 because if u round to the nearest hundreds all u would have to do is add a zero.
I think it's 287.70
(1+3p)(1-3p)
the answer is 1-9p²
How do i get this though?
Answers
Step-by-step explanation:
[tex](a - b)(a + b) = {a}^{2} - {b}^{2} [/tex]
simplify the product and you get
[tex] {1}^{2} - (3p {}) {}^{2} [/tex]
1 times any power automatically equals 1. So that equals
[tex]1 - (3p) {}^{2} [/tex]
=
[tex]1 - 9p {}^{2} [/tex]
Angela purchased a storage cube with a volume of 10 cubic feet. She wants to put it on a shelf that is 24 inches tall.
A.
Yes, because the height of the cube is approximately 4.93 inches.
B.
Yes, because the height of the cube is approximately 2.15 inches.
C.
No, because the height of the cube is approximately 25.85 inches.
D.
No, because the height of the cube is approximately 39.96 inches.
Answers
Answer:
c
Step-by-step explanation:
10 cubic feets volume is equivilant o 25.85 inches.
No, because the height of the cube is approximately 25.85 inches. Option C is correct.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing. A cube's volume can be calculated using its side cube.
Given that, Angela bought a storage unit with a 10 cubic foot capacity. It will go on a shelf that is 24 inches tall,
Volume, V = 10 cubic feet
Height, h =24 inches
The volume of a cube is found as the cube of the side.
Volume of cube = side³
V=a³
10=a³
Take a cube root of 10 to find the value of a,
a=2.15 feet
We can convert feet into inches, in one foot there are 12 inches.
1 feet = 12 inches
2.15 feet = 2.15 × 12
2.15 feet = 25.85 inches
Thus, no because the height of the cube is approximately 25.85 inches. Option C is correct.
Learn more about the volume here:
https://brainly.com/question/16788902
#SPJ2
What is the slop in the graph?
Answers
Answer:
-2/5
Step-by-step explanation:
rise/run you count how much it rises and how much it runs
Answer:
-2/5
Step-by-step explanation:
rise over run
John called a plumber to fix a leak in his bathroom. The
plumber charged $30 to come to the house and $25 an hour
while fixing the leak. If the final bill was $105, how many
hours was the plumber at John's house?
Answers
Answer:
3 hours
Step-by-step explanation:
$105 - $30 = $75
$75 ÷ $25 = 3 hours
90% OFF original price!
Eric wants to buy a chandelier. The original price is $90. What is the sale price?
$
Answers
90% of $90 is $81, so therefore the sale price (original price - percentage) would be $9.
Lacy is shoveling driveways. She has shoveled 9 driveways out of the 12 driveways in her neighborhood. What percent of the driveways does Lacy still have left to shovel?