the polynomial function f(x) is graphed below. fill in the form below regarding the features of the graph
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Answer:
Part A
The degree of f(x) is 7
Part B
The leading coefficient negative
Part C
There are 5 distinct real zeros and 2 relative minimum values
Step-by-step explanation:
From the of a polynomial from a graph of the polynomial, starting from the left, we have;
1) The graph touches the x-axis (horizontally) and then crosses, which gives a multiplicity of 3
2) The graph crosses the x-axis once going upwards with a multiplicity of 1
3) Next, the graph crosses the x-axis once going downwards with a multiplicity of 1
4) Next, the graph crosses the x-axis once going upwards with a multiplicity of 1
5) Finally, the graph crosses the x-axis once going downwards with a multiplicity of 1
Part A
The degree of f(x) is therefore, 3 + 1 + 1 + 1 + 1 = 7
Part B
The leading coefficient of a polynomial that has an odd degree power with a graph falls to the right and rises to the left, the leading coefficient is negative;
Part C
The number of zeros = 7 zeros
The number of identical zeros = 3 identical zeros
∴ The number of distinct zeros are 7 zeros - 2 identical zeros = 5 distinct zeros
The graph continues from +∞ to -∞, therefore, the number relative minimum value of the polynomial are the two minimum values
The number of relative minimum values = 2
Therefore, there are 5 real distinct zeros and 2 relative minimum values
Related Questions
Pls answer..............
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Answer:
b is correct
Step-by-step explanation:
A guy wire (a tensioned cable designed to add stability to a free-standing structure) is attached to a telephone pole whose height is 18 ft. If the wire is attached to the ground at a point 24 ft away from the base of the pole, what is the slope of the wire?
tysm :P
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Can someone give me the answer??? If you think u know the answer or ur guessing don’t answer it I need the right answer. Thank you
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ABC is reflected over the X axis. What are the vertices of A’B’C’?
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Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i wanted to know the answer to this question so bad but i didnt let me ..so can somebody help me and i will give you the brainlist
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Answer:
B.
Step-by-step explanation:
What property of addition is shown?
k+0=k
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c) Write down the value of
-4/3
8
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Answer:
10.6
Step-by-step explanation:
dividing -4 by 3 and multiplying 8 to it.
Myrtle is having a birthday party and is buying pizza for everyone. She buys 9 pizzas for $40.50 all together what is the unit rate for the pizza in pizza
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I need help with this asap!
Answers
Answer:
x=-40B
Step-by-step explanation:
1. Which of the following are sets? Justify your answer.
(a) The collection of all the days in a week beginning with the letter "T".
(b) The collection of all difficult questions in the chapther on sets.
(c) The collection of girls in your class.
(d) The collection of all vers in India.
(e) The collection of all active teachers in the school
(f) The collection of all integers more than 3.
(g) The collection of all beautiful lower in the park. the chapter on sets.
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Answer: B,C,D,E,G
Step-by-step explanation:
What is the slope of the line that passes through the points (-19, -11) and (-20, 14)?
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Answer:
25/-1
Step-by-step explanation:
slope equation-> y2-y1/x2-x1
14 - (-11) = 25
-------------
-20 - (-19) = -1
Guys help plz I’m giving Brainliest.
Answers
Answer:
$21.60
Step-by-step explanation:
Answer:
The hat originally without the discount would be 19 or 20 dollars 20.00
Step-by-step explanation:
Find the value of x.
Answers
Answer:
x = 12
Step-by-step explanation:
Using the formula (which is a geometric mean):
a y
---- = -----
x a
Where a is the altitude (6), x is a projection (x), and y is the other projection (3):
6 3
---- = -----
x 6
Cross multiply:
36 = 3x
12 = x
x = 12
Here are the first four terms of a sequence.
5 9 13 17
Write an expression for the nth term of this sequence.
Answers
Answer:
4n + 1
Step-by-step explanation: The numbers are rising by 4, so this gives us 4n. Term number 1: 4n = 4, but the first number in the sequence is 5 so we have to add 1.
Term number 2: 4n = 8, but the second number in the sequence is 9 so, again, we have to add 1.
please be kind enough to help me with this question in my geometry test thank you i’m very grateful
Answers
Answer:
yes
Step-by-step explanation:
MODELING REAL LIFE The table shows the amount y (in fluid Ounces) of carpet cleaner in a tank after x minutes of cleaning.
X
у
5 108
10 88
15 68
a. Write an equation that represents the amount of cleaner in the tank after x minutes.
y = - Ix + 128
b. How much cleaner is in the tank when the cleaning begins?
There are
fluid Ounces of cleaner in the tank.
C. After how many minutes is the tank empty?
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The tank will be empty in 32 minutes.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
(a)
The table of values is given.
Rewrite the table of values as ordered pairs:
(5,108), (10,88), (15,68)
Since the difference between any two consecutive y values and the difference between any two consecutive x values is constant, the data shows a linear relation.
The slope of the line that passes through (5,108) and (10,88) is:
m = (88-108)/(10-5)
m = -4
The equation of the line with slope m = -4 and passes through (5,108) is:
y - 108 = -4(x - 5)
y = -4x + 20 + 108
y = -4x + 128 (1)
(b)
Substitute x = 0into equation (1):
y = - 4(0) + 128
y = 128
The tank is 128 ounces cleaner at the beginning.
(c)
Substitute y = 0 into equation (1):
0 = -4x + 128
4x = 128
x = 32
Therefore, the tank will be empty in 32 minutes.
Learn more about the point-slope form of a line:
https://brainly.com/question/29503162
#SPJ2
What is hydropower? And how does it work? (2-3 sentences Is good enough) thx :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST:DDD!!
Answers
And it work by Hydropower plants capture the energy of falling water to generate electricity. A turbine converts the kinetic energy of falling water into mechanical energy. Then a generator converts the mechanical energy from the turbine into electrical energy.
Answer:
Hydropower is a form of renewable energy. Water will spin a turbine, which will then generate electricity.
Step-by-step explanation:
Hydropower is a form of renewable energy. Water will spin a turbine, which will then generate electricity.
Which number line would be needed to create a dot plot for the data on the number of siblings?
1.) a number line from 0 to 5
2.) a number line from 1 to 5
3.) a number line from 0 to 7
4.) a number line from 1 to 7
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Answer:
1.
0 to 5
Step-by-step explanation:
Factorise fully 28y2 – 24y
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Answer:
4y(7y - 6)
Step-by-step explanation:
56 is 28% of an unknown number is (x)
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Answer:
Change 28% to a decimal by moving the decimal point 2 places to the left:
28% = 0.28
Write the question as an equation to get:
56 = 0.28x
Now to solve for x, divide both sides by 0.28:
x = 56 / 0.28
x = 200
The unknown number is 200.
Step-by-step explanation:
Step-by-step explanation:
28% of an unknown number is (x)=56
28/100 of x=56
x=56×100/28=200A yard is equal in length to three feet. The function f(x) takes a measurement in yards (as input) and returns a measurement in feet (as output).What number will the function return if the input is 15.4?
Answers
Answer:
it should be 4.5
Step-by-step explanation:
Answer:
0.428 yd
Step-by-step explanation:
x/1 = 15.4/3
36x = 15.4
x=0.428 yd
Solve for t.
-18.18 = 6t
Question 1 options:
t= -24.18
t= -3.03
t= 3.03
t= -13.18
Answers
Answer:
-3.03
Step-by-step explanation:
divide -18.18 by 6
Answer:
t= -3.03
Step-by-step explanation:
In order to solve for t, we need to isolate it. We would do this by dividing both sides by 6:
[tex]t= -18.18/6[/tex]
Therefore t= -3.03
PLEASE HELPP!! it’s due in an hour!!
Answers
Answer:
12x I think
Step-by-step explanation:
this is very confusing.
2x² + 2x - 4 = 2x ( x + 1 - 2 )
4x + 2x - 4
8x-4
4x = 2x ( x + 1 - 2)
8x + 2 - 2
8x + 4x
= 12x. I think 12x is the correct factor.
Elizabeth earned 3 times as much as Rebeca selling Girl Scout cookies. If Elizabeth earned $426, how much did Rebeca earn?
Answers
Answer:
$142
Step-by-step explanation:
E = 426
E=3R
426 = 3R
R = 142
WHY DOESN'T ANYBODY HELP ME!!!!! PLEASE ANSWER, and YOU WILL GET YOUR BRAINLIEST!!!
(Sat Prep) Find the value of x)
Answers
Answer:
1. x = 120°
2. x = 115°
Step-by-step explanation:
For the first question, you can see that the two lines are parallel. This means you can use any of the alternate interior angles, alternate exterior angles, corresponding angles, consecutive interior angles, and consecutive exterior angles.
You can see that the transversal cutting the two parallel lines make a 40° angle, and through alternate interior angles, the angle next to x is also 40°.
Because a straight line is 180°, the three angles that make up the straight line will add up to 180°. So:
x + 20° + 40° = 180°
x + 60° = 180°
x = 120°
For the second question, extend the line (the left one marked with 1 arrow) to make a smaller triangle attached to the parallelogram.
Because this is a parallelogram, opposite angles are congruent. So the opposite angle of x is also x.
Straight lines are 180°, so 180 - x will be what the angle measure is. If this is too confusing, refer to the image below.
Those two angles, 50° and (180 - x)°, will add up to be the exterior angle, which is also x.
So:
50 + 180 - x = x
230 = 2x
115 = x
x = 115
Complete the equation.
(4x)−2(4x)3(4x)9=(4x)
Answers
Given:
Consider the given equation is
[tex](4x)^{-2}(4x)^3(4x)^9=(4x)^?[/tex]
To find:
The missing value in the given equation and complete the equation.
Solution:
We have,
[tex](4x)^{-2}(4x)^3(4x)^9=(4x)^?[/tex]
Taking LHS, we get
[tex]LHS=(4x)^{-2}(4x)^3(4x)^9[/tex]
[tex]LHS=(4x)^{-2+3+9}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]LHS=(4x)^{10}[/tex]
and,
[tex]RHS=(4x)^?[/tex]
Let the missing value be k.
For each equation LHS=RHS.
[tex](4x)^{10}=(4x)^{k}[/tex]
[tex]10=k[/tex]
Therefore, the missing value is 10 and the complete equation is [tex](4x)^{-2}(4x)^3(4x)^9=(4x)^{10}[/tex].
What is the surface area of the sphere below? 11.3 A. 324 units2 324 units2 C. 36 units2 D. Cannot be determined
Answers
Answer:
A=4πr2
Step-by-step explanation:
help pls dont rip me off for points
Answers
Answer:
A I think.
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
U have to do the math on each option choices to see what they got in the question
Write an equivalent expression. (X+8)+5y
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Answer:
the answer is x + 5y + 8.
mid-point of (-2,-4) and (4,6)?
Answers
(1,1)
Hope that helps :)