Consider the graph of the sixth-degree polynomial function f.
Replace the values b, c, and d to write function f.
f(x)=(x-b)(x-c)^2(x-d)^3
Answers
Answer:
f(x)=(x-1)(x+1)^2(x-4)^3
Step-by-step explanation:
The zeros of the function are x=-1, x=1, and x=4, so its factors are x+1, x-1, and x-4.
The graph touches, but doesn’t cross, the x-axis at x=-1. So the factor x+1 is a repeated factor with an even multiplicity.
The graph crosses the x-axis at x=4, but with a little curve before and after it meets this point. So the factor x+4 is a repeated factor with odd multiplicity.
The graph crosses the x-axis at x=1 with no curve before or after. So the factor x-1 is not a repeated factor.
Therefore, function f is defined by f(x)=(x-1)(x+1)^2(x-4)^3.
The sixth-degree polynomial that shows in the graph is [tex]\rm f(x) = (x+1)(x-1)^2(x-4)^3[/tex] and this can be determined by evaluating the x-intercept of the given graph.
Given :
Sixth-degree polynomial -- [tex]\rm f(x) = (x-b)(x-c)^2(x-d)^3[/tex]
The following steps can be used in order to determine the value of b, c, and d:
Step 1 - Write the given sixth-degree polynomial.
[tex]\rm f(x) = (x-b)(x-c)^2(x-d)^3[/tex]
Step 2 - Observe the given graph and determine the x-intercept of the graph of the sixth-degree polynomial.
Step 3 - So, the x-intercepts that are the values of b, c, and d is given below:
b = -1
c = 1
d = 4
Step 4 - Substitute the values in the given sixth-degree polynomial.
[tex]\rm f(x) = (x+1)(x-1)^2(x-4)^3[/tex]
For more information, refer to the link given below:
https://brainly.com/question/14375099
Related Questions
can someone answer this? 15x3y2 – 30xy and this? 4x5 – 8x4 – 4x3?
Answers
Answer:
first one is 135xy^2-30xy
the second one is 4x^3(x^2-2x-1)
Step-by-step explanation:
You can't simplify it any more than it is right now.
AYEE ANSWER CORRECTLY AND GET BRAINLIEST!!!
Answers
Answer:
C
Step-by-step explanation:
C because that is the only one that passes through coordinates 1, -1
Answer:
C
Step-by-step explanation:
That's what I think it is.
is the answer OPQ and Q? if not then what
Answers
OPQ and QPO
it cant be just Q because Q is in every angle
WILL GIVE BRAINLIEST
Answers
100 to 150
options:
option 1: 50% decrease
option 2: 50% increase
option3: 33%increase
option 4: 1/2% increase
Answers
Answer:
50% increase
hope this helped
nxz - f = 3f
Solve for x
Answers
Answer:
x = 4f/nz
Step-by-step explanation:
nxz - f = 3f solve for x
nxz = 3f+f
Factor of nxz is x(nz)
x(nz) = 3f+f
x(nz) = 4f
MUltiply both side with 1/nz and you get
x = 4f/nz
Which is the independent variable in this graph?
population
straight lines
years
United States
Answers
Answer:
It’s years :)
Step-by-step explanation:
Explain! Brainliest!
Answers
Answer:
Step-by-step explanation:
The LCM (lest common multiple) of 6 and 8 is 24
the multiples of 8 are 8, 16, 24, 32...
the multiples of 6 are 6, 12, 18, 24, 30...
They have 24 in common, so 24 is the answer
Answer:
B: 24
Step-by-step explanation:
the multiples of 8 are 8, 16, 24, 32...
the multiples of 6 are 6, 12, 18, 24, 30...
24 is the least common multiple that id the same with both numbers
how to solve this 58+5x+10=11x+2
Answers
Answer:
11 = x
Step-by-step explanation:
58+5x+10 = 11x+2
68+5x = 11x+2
-5x = -5x
68 = 6x+2
-2 -2
66 = 6x
66/6 = 6x/6
11 = x
Hope this helps!
Answer:
x = 11
Step-by-step explanation:
58 + 5x + 10 = 11x + 2
First, combine like terms
68 + 5x = 11x + 2
Subtract 5x from both sides of the equation
68 = 6x + 2
Subtract 2 from both sides of the equatino
66 = 6x
Divide both sides by six to get your answer
11 = x
I hope this helps :)
Star A is about 3.4 x10^18 miles from earth. star B is 6.8 x 10^16 miles from earth.Star A is how many times as far from Earth as Star B? I
Answers
Answer: It's 50
Step-by-step explanation:
3.4 divided by 6.8 is 0.5 and 18-16 (the exponents) is 2. since ur dividing your subtracting the exponents. so then u get 0.5*10^2 but it cant be lower than 1 so u move the decimal in 0.5 one space to the right which then leads you to get 5*10^1 or 5*10 which is 50.
What is the missing term in the factorization?
12x^2 - 75 = 3( 2x+__ )( 2x - 5 )
Enter your answer in the box.
Answers
the missing term is 5
Step-by-step explanation:Hi there !
12x² - 75 =
= 3(4x² - 25)
use formula a² - b² = (a - b)(a + b)
= 3(2x - 5)(2x + 5)
= 3(2x + 5)(2x - 5)
the missing term is 5
Good luck !
Simplify: 45÷3+2×8-12+42
Show working
Answers
Hope this helps
HELPPPPPPPPPP ITS DUEEEEEEEEEEEEEEEE
Answers
Answer:
Look below.
Step-by-step explanation:
1.) Alternate exterior
2.) Alternate interior
3.) Same-side interior
4.) Vertical
5.) Corresponding
6.) Alternate exterior
Please help me n with this question
Answers
Answer:
yes
Step-by-step explanation:
Which is correct equation , in slope intercept form , for the line described below?
x-intercept =-2
Y-intercept=6
Answers
Answer:
[tex]y=3x+6[/tex]
Step-by-step explanation:
Equation of the line
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Being m the slope and b the y-intercept.
We are given two points for the required line: The x-intercept is -2, thus the point is (-2,0), and the y-intercept b=6 represents the point (0,6).
Since the value of b is 6, we use the first point to find the slope:
[tex]0=m(-2)+6[/tex]
Solving:
m=3
The correct equation of the line is:
[tex]\boxed{y=3x+6}[/tex]
Given that triangle ABC~ Triangle DEF solve for x
Answers
Answer:
x=6
bcz 5×7=35
6×7=42
7×7=49
Answer:
B
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values
[tex]\frac{35}{5}[/tex] = [tex]\frac{42}{x}[/tex] ( cross- multiply )
35x = 210 ( divide both sides by 35 )
x = 6 → B
Andy is buying a car. He negotiated a 7% on a £6500 car. He will pay the full balance in 12 equal monthly payments.
Calculate the amount paid each month.
Answers
9514 1404 393
Answer:
£562.42
Step-by-step explanation:
Payments on a loan of P at rate r for n months can be found from ...
A = P(r/12)/(1 -(1 +r/12)^-n)
For r = .07 and n = 12, the payments on a £6500 loan will be ...
A = £6500(.07/12)/(1 -(1 +.07/12)^-12) = £562.42
Andy will pay £562.42 each month.
Answer:
562.42 pm
Step-by-step explanation:
Felicia drank 5 glasses of soda throughout the day. Which choice
below is the most likely number of ounces of soda that Felicia
consumed?
40 ounces
125 ounces
200 ounces
10 ounces
Answers
Answer:
40 ounces
Step-by-step explanation:
A glass is 8 ounces so:
8 x 5 = 40 ounces
Three quarts of a latex enamel paint will cover about 120 square feet of wall surface. How many quarts are needed to cover 161 square feet of kitchen wall and 119 square feet of bathroom wall? Nothing quarts of a latex enamel paint are required
Answers
Answer:
7 quarts
Step-by-step explanation:
We can solve this problem by using the rule of three. As seen in the picture below we need to find the X. We do this by multiplying 161 sq. ft. diagonally by 3 quarts and then dividing by 120 sq. ft. This will give us the number of quarts needed for the kitchen wall. Then we simply repeat the process for the bathroom wall and we are done. Like so ...
[tex]\frac{161 sq. ft. * 3 quarts}{120 sq. ft.} = x[/tex]
[tex]4.025 quarts = x[/tex]
[tex]\frac{119sq. ft. * 3 quarts}{120 sq. ft} = x[/tex]
[tex]2.975 quarts = x[/tex]
Therefore we need 4.025 quarts for the kitchen wall and 2.975 quarts for the bathroom wall ... making that a total of 7 quarts.
25.89= 15.19 + 2x
What is X
Answers
Answer:
[tex]25.89=15.19+2x[/tex]
[tex]x=5.35[/tex]
I hope this helps!
Which statement best describes the graph and system of equations?
4y - x = 8
x - 4y = 12
A( infinite solutions
B( no solution
C( one solution
D( not enough information
Answers
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $75.00
Markdown: 34%
The sale price is, in dollars, is:
Answers
Answer:
23.9$
Step-by-step explanation:
IM smart
Answer:
$49.50
Step-by-step explanation:
A kitten weighs 3.2 pounds. A baby tiger weighs 26 times as much as the kitten. How much does the baby tiger weigh?
Answers
Answer:
83.2 pounds
Step-by-step explanation:
3.2 times 26 is 83.2 so that would be how much the baby tiger weighs
worth 20 points! need help badly
Answers
Answer:
Step-by-step explanation:
FIRST ONE GOES WITH 5TH ONE 2 ONE GOES WITH 1 ONE AND LAST ONE GOES WITH 4 TH ONE
Anybody pls help me. Plus, working. Thank you
Answers
I hope my answer can help you.
On a coordinate plane, a line is drawn between point (x 2, y 2) and (x 1, y 1). Which equation would find the distance between the two points show on the coordinate plane? d = StartRoot (x 2 + x 1) squared + (y 2 + y 1) squared EndRoot d = StartRoot (x 2 minus x 1) squared minus (y 2 minus y 1) squared EndRoot d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Answers
Answer:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step-by-step explanation:
Given: A line is drawn between points [tex](x_2,x_1)\,,\,(y_2,y_1)[/tex]
To find: distance between the two points
Solution:
A coordinate plane is a two-dimensional plane formed by the intersection of a y-axis and x-axis. x-axis and y-axis are perpendicular lines that intersect each other at the origin.
Let d denotes distance between the two points [tex](x_2,x_1)\,,\,(y_2,y_1)[/tex]
Use the formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance between the two points show on the coordinate plane is D = √[(x₂-x₁)²+(y₂-y₁)²]. Therefore, the correct answer is option C.
The given coordinate points are (x₁, y₁) and (x₂, y₂).
The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula.
On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is
Distance = √[(x₂-x₁)²+(y₂-y₁)²].
Therefore, the correct answer is option C.
To learn more about the distance formula visit:
brainly.com/question/27262878.
#SPJ6
Please help me!!!!!!!!!!!!!!!
Answers
Answer:
I think C i could be wrong tho
Step-by-step explanation:
a(n - 6) = bx
Solve for n (just terms not signs)
Answers
Answer:
n = bx/a + 6
Step-by-step explanation:
Tammy took a five-hour flight to Denver, Colorado. She traveled
1,940 miles in all. If she traveled the same number of miles each hour, how many
miles did she travel in once hour?
Answers
Answer:
388 miles in one hour.
Step-by-step explanation:
You divide 1,940 by 5.
Answer:
388
Step-by-step explanation:
Can someone help please
Answers
Answer:
Step-by-step explanation:
I think d but mabye not
thats the only one i know sorry but good luck kiddo <3
