In Exercises 5-8, use the graph which shows the right-hand and left-hand behavior of a polynomial function f.
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The other information required while using the intermediate value theorem to show the existence of zero for the polynomial function plotted is
f(x₁) < 0 and f(x₂) > 0
What is intermediate value theorem?The intermediate value theorem says that if "f" is a continuous function across a closed interval [a, b] with values f(a) and f(b) at its endpoints, then the function takes any value at a point inside the interval that is between the values of f(a) and f(b).
The root of a polynomial is the value of y when x is zero. hence to show that there is a zero between the points x₁ and x₂ there is a need to show there was a change of sign in the output value
Using the graph
f(x₁) is less than 0 which shows negative values f(x₂) is greater than 0 which shows positive valuesAt the point of change of sign is the required zero
Learn more about intermediate value theorem at:
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Related Questions
Justin flipped a coin and it landed on tails 7 times and heads 3 times. What is the experimental probability that the coin lands on tails the next time he flips it? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW WORK!!)
A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4
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Answer:
Step-by-step explanation:
Does the graph represent a function? (will give BRAINLIEST)
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Answer:
yes, because they are both equal angles.
Step-by-step explanation:
though if it was a curved line it would be a true function
How do you solve for a variable?
A. Use the alphabet
B. Displacement
C. Get it by itself
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Answer:
C. Get it by itself
Step-by-step explanation:
When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.
Solve: x (x + 3) = 28
Answers
Answer:
x = 25
Step-by-step explanation:
28 - 3 = 25
Answer:
x = 25
Step-by-step explanation:
Figure A is original and Figure B is the copy.
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Answer:
scale factor = 3.5; missing side = 17.5 cm
Step-by-step explanation:
see attached image
What 5 divided by 4.25.
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Answer:
Step-by-step explanation:
5 divided by 4.25 = 85 reminder 0
The expression below represents the vertical height above the ground, in meters, of a roller coaster when it is x meters away from the starting station.
x^2+6x=15
Which statement best describes the term 15?
the maximum height of the roller coaster
the horizontal distance from the station when the roller coaster is at its maximum height
the velocity of the roller coaster
the initial height of the roller coaster
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Answer:
D.) the initial height of the roller coaster
Step-by-step explanation:
Answer:
the initial height of the roller coaster
Step-by-step explanation:
Write an expression in terms of x that represents the distance (in feet) between Deandre and Paige.
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Answer:
Escribir cada expresión en términos de seno. 2. Escribir cada expresión en términos de coseno . 3. Expresar la función dada en términos de la función que se indica en cada literal. 4. Utilizar las identidades fundamentales para escribir una expresión equivalente a la expresión dada. Luego, simplificar. 5. Factorizar las siguientes ...
Step-by-step explanation:
After two six sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?
Answers
6 = 36 because each die has 1 to 6 number on its faces.
Answer:
.222
Step-by-step explanation:
Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data:
2 1 2 4 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0 4 2 1 3 1 1 3 4 1
2 3 2 2 8 4 5 1 3 1 5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 6 1 2 3
Required:
a. Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch.
b. What proportion of batches in the sample have at most six nonconforming transducers?
c. What proportion have fewer than six? (Enter your answer to three decimal places.)
d. What proportion have at least six nonconforming units?
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Answer:
Kindly check explanation
Step-by-step explanation:
X ___ Frequency ___ relative Frequency %
0_____7 ________11.67
1_____12________20.00
2____ 13 ________21.67
3____ 14 ________23.33
4 ____6 ________10.00
5____ 3 _________5.00
6 ____3 _________5.00
7_____1 _________1.67
8 ____ 1 _________1.67
B.)
(x = 0) + (x = 1) + (x = 2) + (x = 3) + (x = 4) + (x = 5) + (x = 6)
(11.67 + 20.00 + 21.67 + 23.33 + 10.00 + 5.00 + 5.00) = 96.67% = 0.967 (3 decimal places)
C.)
(x = 0) + (x = 1) + (x = 2) + (x = 3) + (x = 4) + (x = 5)
(11.67 + 20.00 + 21.67 + 23.33 + 10.00 + 5.00) = 91.67% = 0.917 (3 decimal places)
D.)
(x = 6) + (x = 7) + (x = 8)
(5.00 + 1.67 + 1.67)% = 8.34% = 0.0834
65% of 75 is equal to what number?
Answers
75/100 x 65 = 48.75
Answer:
48.75
i am sure
hope this helped you
A family wants to rent a car to go on vacation. Company a charges $70.50 and $.50 per mile. Company B charges $35.50 and nine cents per mile. How much moreDoes Company a charge for X miles then company b?
Answers
Answer:
Company A is 1.99 times B.
Step-by-step explanation:
Company A charges:
[tex]A=70.50+0.50=\$71/mile[/tex]
Company B charges:
[tex]B=35.50+0.09=\$35.59/mile[/tex]
We just need to divide A by B:
[tex]x=A/B=1.99[/tex]
Therefore, company A is 1.99 times B.
I hope it helps you!
write the supplement of : (x+ 35)^0.
please tell fast
Answers
Answer:
179
Step-by-step explanation:
(x+35)^0=1
supplement=
180-1
179
1. If x is 3, what is 3x + 2x? Plz I need help
Answers
Answer:
15
Step-by-step explanation:
3*3+2*3=15
Answer:
15
Step-by-step explanation: If x equals 3, then you would do 3x3 = 9 and 2x3 = 6. Then add to get 15.
3x+2=14 what number makes the equation true?
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Answer:
Step-by-step explanation:
3x+2=14 subtract 2 from both sides
3x=12 divide both sides by 3
x=4
If you can help thankyou!
Answers
Answer:
its 3
Step-by-step explanation:
lol
Answer:
choice 2) x = -1/3
Step-by-step explanation:
x^3 = -1/27
x = -1/3
if MJ is in grade 8, then he is 14 years old.
Answers
Answer:
True
Step-by-step explanation:
because the grade 8 students can be 14 years old
WILL GIVE BRAINLIEST!!!
At a table tennis tournament, two games lasted a total of 32 minutes. One game took 12 minutes longer than the other. How long did it take to complete each game? Use letters to represent the unknowns. Solve the problem
Answers
Answer:
22 and 10 minutes
Step-by-step explanation:
x+x+12= 32
2x+12= 32
2x= 20
x= 10 This is one game.
10+12= 22 This is the other game.
shows that the points (2,1), (6,2), (5,6), and (1,5) are the vertices of a square. Then obtain the perimeter and area of that square. (remember that a square is defined by having its four equal sides) I need help please?
Answers
Answer:
The perimeter of this square will be 32 and the Area will be 64
Step-by-step explanation:
I posted a picture of how I got this
Hope this Helped
Karlee has 4 sets of pencils. In each set, 1 pencil is 1/
7 of the pack. All of the packs are full. What is the total number of pencils that Karlee has in her 4 pencil packs?
someone answer plz
Answers
Answer:
karlee has 28 pencils in her 4 pencil packs
Answer:
Its 28
Step-by-step explanation:
because it is
2. En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cuál es el ancho real del castillo?
Answers
Answer:
Apigy 60918370927710 paojzob pour ta life yzs 029282728
4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32
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The circle below represents one whole.
What percent is represented by the shaded area?
%
Answers
Answer:
25%
Step-by-step explanation:
check
1/4 * 100% = 25%
The region represented by the shaded area has 25% and is 1/4th of the total circle.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The formula to calculate the area of the circle is given as πr², where r is the radius of the circle.
In the given figure the total area of the circle is πr². The shaded region is one-fourth of the total area of the circle.
Total area = πr²
Shaded area = ( 1 / 4 )πr²
The percentage of the shaded area will be calculated as
Shaded area = ( 1 / 4 )πr²
Shaded area = ( 0.25 )πr²
To convert it into a percentage multiply by 100.
Shaded area = ( 0.25 x 100 )πr²
Shaded area =25% πr²
Put πr² as the total area.
Shaded area =25% of Total area.
Therefore, the region represented by the shaded area has 25% and is 1/4th of the total circle.
To know more about an area follow
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Can anyone answer this please
Answers
According to monetary theory, which of the following is the main driver in changing economic activity?
A. Exchange rate
B. Money supply
C. Taxes
D. Employment rate
Answers
Answer:
B
Step-by-step explanation:
money supply because this has to balanced out in turn will determine any change in the economic activity.
f(x) = -4 cual es su grafica
Answers
Im not sure
1 3/4 + 2 2/5=
Addition of fractions
Answers
Answer:
Improper fraction: 83/20
Decimal: 4.15
Mixed Number: 4 3/20
Step-by-step explanation:
Chloe has 85 floral beads. She uses 4 floral beads to make each bracelet. She makes as many bracelets as possible. How many floral beads will she have left?
Answers
Answer:
1 bead left over
Step-by-step explanation:
Hi!
With this it looks like you need to divide and also have a remainder.
So what I like to do is actually round down your total to an even number.
So in this case 85 would round down to the even number of 84.
Now she uses 4 per bracelet so you want to do :
84 / 4
=
21
Alright so now we have to remember we took one bead off to make the number even.
That would be one bead since 85 - 84 = 1
So she made 21 bracelets and had 1 bead left over.
I hope this helps!
If you have any questions or concerns feel free to comment or message me! :)
✨6 Grade Math✨ PLEASE HELP I RLLY DONT GET IT
Answers
Answer:
a. 12s + 19j - 3
36 + 28 - 3 = 61
b.
Shirt (per unit cost):
Before Discount: $12
After Discount: $12 - $3 = $9
Jeans (pair cost):
Before Discount: $19
After Discount: $19 - $3 = $16
(12-3)s + (19-3)j
27 + 32 = $59
Michael ordered the food and drinks below for himself and three friends. •3 hot dogs for $2.99 each •3 bags of French fries for $1.99 each •2 hamburgers for $3.99 each •4 drinks for $0.79. Michael and his friends will share the total cost of the food and drink equally. What was the cost per person?
Answers
Answer:
$6.52
Step-by-step explanation:
The 4 four friends got three hot dogs for $2.99. Multiply 3 hot dogs by $2.99, which is $8.97 They also got 3 bags of french fries for $1.99. Multiply 3 bags of french fries by $1.99, which is $5.97. Then, they decided to get 2 hamburgers for $3.99 each. Multiply 2 hamburgers by $3.99, which is $7.98 They wanted drinks to cool themselves off, so they got 4 drinks for $0.79. Multiply 4 drinks for $0.79, which is $3.16Take all of the numbers that was calculated and add them up together ($8.97 + $5.97 + $7.98 + $3.16) and you will get $26.08 as the total.They decided to split it equally, so take the $26.08 total and divide it by 4. You will get $6.52 per person.