Answer: 0
Step-by-step explanation:
ƒ(x) = −x² – 10x – 9
Putting value of x as -1
the function is as followed:
ƒ(-1) = -(-1)^2 - 10 (-1) - 9
ƒ(-1) = -1 +10-9
ƒ(-1) = 9-9
= 0
Two buildings are 18.5 meters apart. The angles of elevation from the top of one building to the top of the other is 18 degrees. If the taller building is 15 meters tall, how tall is the shorter building?
Answer: 9m
Step-by-step explanation:
If we draw a right triangle, we can get a triangle with an angle of 18 degrees and a base of 18.5m. To get the height, we would do TOA or tan = opp / adj:
tan18 = x / 18.5
Multiply both sides by 18.5 to isolate x:
x = 18.5 * tan18
x = 6m (approximately)
This means that the taller building is 6 meters taller, so:
15m - 6m = 9m
A cable on a fishing boat lowers a fish trap into a lake at a rate of 3 1/2 feet per second. What is the change in depth of the fish trap after 12 seconds?
Answer:
After 12 Seconds the cable would be 42 Ft down in depth
Step-by-step explanation:
3 1/2 Ft = 1 Second
3 1/2 Ft x 12 Seconds = 42Ft in Depth
The change in the depth of the fish trap after 12 second is 30 feet.
What is multiplication?The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
Given, a cable on a fishing boat lowers a fish trap into a lake at a rate of 3 1/2 feet per second.
[tex]3\frac{1}{2}[/tex] = 5/2 feet per second.
To find the change in depth of the fish trap after 12 seconds:
Multiplied by 12 to the rate of feet per second.
5/2 x 12
= 30 feet
The change of rate is 30 feet per 12 second.
Therefore, the change in depth is 30 feet per 12 second.
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The linear function f(x) is represented in the graph, and the linear function g(x) is represented in the table. Graph of linear function f of x going through negative 4 comma negative 1, negative 2 comma 0, 0 comma 1, and 4 comma 3. x g(x) −4 3 0 1 2 0 4 −1 Which of the following best compares the slopes and y-intercepts of the two functions? (1 point) The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
The correct option regarding the slope and the intercept of the linear functions is given as follows:
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
What is the definition of a linear function?The definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients of the function are given as follows:
m is the slope of the function, which is the rate of change of the output variable y relative to the input variable x.b is the y-intercept of the function, which is the value of y when the function crosses the y-axis, that is, when x = 0.The points that compose function f(x) are given as follows:
(0,1) and (4,3).
Hence:
The slope is of 0.5, as when x increases by 4, y increases by 2.The intercept is of 1, as when x = 0, y = 1.The points that compose function g(x) are given as follows:
(0,1) and (4,-1).
Hence the coefficients are as follows:
The slope is of -0.5, as when x increases by 4, y decreases by 2.The intercept is of 1, as when x = 0, y = 1.Hence the correct option is:
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Solve this.
15 = x/6 - 1
A) x=96
B) x=90
C) x=84
D) x=80
The value of x in the algebraic expression is option A 96.
Given,
The algebraic expression; 15 = x/6 - 1
We have to solve the expression and find the value of x.
Here,
15 = x/6 - 1
First solve the right hand side
x/6 - 1 = (x - 6) / 6
Now,
15 = (x - 6) / 6
Multiply both sides with 6.
15 × 6 = (x - 6) × 6 / 6
90 = x - 6
Now add 6 to both sides
90 + 6 = x - 6 + 6
x = 96
That is,
The value of x in the algebraic expression is option A 96.
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Johan starts a new job. His salary when hired is $31,000.
He receives a raise of 2.5% every year. Write an equation to model Johan’s salary after
x years. After how many years will Johan’s salary be greater than $45,000?
The exponential growth from the exponential function shows it will take approximately 15.09 years for his salary to reach $45000
Exponential FunctionAn exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x. This could also be an exponential growth or exponential decay which depends on the situation.
The exponential function is an important mathematical function which is of the form f(x) = ax
Data;
Principal (p) = $31000rate = 2.5%final amount = $45000time = ?The exponential function to represent this will be
45000 = 31000(1 + 0.025)ˣ
x = 15.09 years
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in a game of blackjack, a 2-card hand consisting of an ace and a face card or a 10 is called a blackjack. (round your answers to four decimal places.) if a player is dealt 2 cards from a standard deck of 52 well-shuffled cards, what is the probability that the player will receive a blackjack?
The probability that the player will receive a blackjack from a player is dealt 2 cards from a standard deck of 52 well-shuffled cards is 0.0483.
What is probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
Here,
Combinations of drawing 1 ace * combinations of drawing 1 face cards / all possible 2 card combinations
4C1 * 16C1 / 52C2
4 * 16 / (52 * 51/2)
=64/1326
=.0483
When a player is dealt two cards from a standard deck of 52 properly shuffled cards, the likelihood that they will get a blackjack is 0.0483.
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the length of time it takes to find a parking space at 9 a.m. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes. seventy percent of the time, it takes more than how many minutes to find a parking space?
Seventy percent of the time, the length of time to find a parking space takes more than 4 minutes.
For a normally distributed set of data, given the mean and standard deviation, the probability of having the data less than a value can be determined by solving the z-score and using the z-table.
If the probability is 70%, then, using the z-table, the z-score would be -0.52485.
at p = 1 - 0.70 = 0.30 z = -0.52485
Using the formula for finding the z-score, solve for the data value, x.
z-score = (x – μ) / σ
where x = individual data value
μ = mean = 5
σ = standard deviation = 2
z-score = (x – μ) / σ
-0.52485 = (x - 5) / 2
x - 5 = -1.0497
x = 3.9503
Round off to the nearest whole number.
x = 4
Hence, 70% of the time, it takes more than 4 minutes to find a parking space.
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15. Evie added 4 stamps to her collection and then lost 9 stamps when she brought her stamp book outside. Write an equation that shows Evie's net gain or loss.
The linear equation y = x - 5 show's Evie's net loss or gain
Linear EquationLinear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on.
In solving this problem, we have to write the problem in a form of linear equation.
Let;
y = The number of stamps available nowx = number of stamps she originally hady = x + 4 - 9
y = x - 5
The equation to show Evie's net gain or loss is y = x - 5
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0.60 gal to 0.12 gal as a fraction
Answer:
0.60 gal to 0.12 gal can be rewritten as:
[tex]\frac{0.60}{0.12} =\frac{0.6}{0.6(0.2)} =\frac{1}{0.2}[/tex]
[tex]\frac{1}{0.2}*1=\frac{1}{0.2}*\frac{10}{10} =\frac{10}{2} =5[/tex]
Using your work from the first problem on Tuesday find the area of the triangle if x=3/2 and the height of the triangle was 6x+10. Help me please!!
If the height of the triangle is (6x + 10) and the base of the triangle is (3/2) the area of the triangle is 14.25 square units.
What is the area of the triangle?
The area of a triangle is the region bounded by its perimeter or its three sides.
If the height of the triangle is 'h' and the base is 'b', the area of the triangle would be
Area = 1/2 × height × base
The base of the triangle is x = 3/2.
Height of the triangle = 6x + 10 = 19.
Area of triangle = 1/2×3/2×19
= 14.25 square units.
Hence, If the height of the triangle is (6x + 10) and the base of the triangle is (3/2) the area of the triangle is 14.25 square units.
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11
How much money is pictured below?
LIBERTY
LEEE
¢
SEPERTY
15
16
Answer:
Step-by-step explanation:
Ok:
1. The first one seems to be a quarter which is 25 cents
2. The next two are dimes which are 10 cents each
3. Caculate
25+10+10= 45 cents in total!
4. Answer: 45 cents
(e) what is the probability that the actual weight differs from the prescribed weight by more than 0.45 g? (round your answer to four decimal places.)
Determine the probability that actual weight is within 0.45 g of the prescribed weight we need to integrate with 2.55 to 3.45
we have to integrate with : 2.55 to 3.45
p(3-0.45<X<3+0.45)
P( 2.55<X<3.45)
= [2.7-24.47-24.3+48.609/3]
=0.6325
What is probability:
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
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The question was incomplete. Check below the complete question.
The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with the following pdf. f(x) = k 1 ? (x ? 3)2 2 ? x ? 4 0 otherwise.
We are evaluating a project that costs $786,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 65,000 units per year. Price per unit is $48, variable cost per unit is $25, and fixed costs are $725,000 per year. The tax rate is 22 percent, and we require a return of 10 percent on this project.
We are evaluating a project that costs $786,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 65,000 units per year. Price per unit is $48, variable cost per unit is $25, and fixed costs are $725,000 per year. The tax rate is 22 percent, and we require a return of 10 percent on this project
The tax rate for 10% is IRR = 78%.
The Initial evaluating cost is $786000 and the
Depreciation expense per year will be = $786,000 / 8 = $98,250.
and the contribution margin per unit = $48 - $25 = $23
total units sold Projected per year = 65,000
fixed costs will be per year = $725,000
At Present the tax rate = 22%
Net cost fixed per year = -$786,000
Net Cost Fixed year 1-8 = {[($23 x 65,000) - $98,250 - $725,000] x 0.78} + $98,250 = $622,215
Net Per Variable = $2,533,471.10
Hence the answer is, The tax rate for 10% is IRR = 78%.
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PLEASE HELP! I NEED THIS BADLY! Is (x-3) a factor of 2x^3-4x^2-6?
YES OR NO?
find the remainder of 2x^3-4x^2-6
(just type the answer!)
Answer: 1. no 2. 104
Step-by-step explanation:
Suppose the length and width of the rectangle are doubled. What effect would this have on the area? Justify your answer.
The area is increased by 204 ft².
What is rectangle?
A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Initial length l= 4 ft
Initial width l= 17 ft
Area = l*w = 4*17 = 68 ft²
When length and width of the rectangle are doubled:
l=2*4=8 ft
w= 2*17= 34 ft
Area= 8*34= 272 ft²
Difference = 272 - 68 = 204 ft²
Thus, the area is increased by 204 ft².
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The sampling distribution of the sample mean will always have the same _________ as the original distribution.
The sampling distribution of the sample mean will always have the same the mean of the original non-normal distribution, as the original distribution.
What is distribution?
Each of these samples contains a mean, and if we add up all of the means, we can construct a probability distribution that explains the distribution of the means. As long as we have sufficient samples, as will be discussed later, this distribution is always normal and is referred to as the sampling distribution of the sample mean.
Since the sample mean's sampling distribution is normal, we can naturally calculate the distribution's mean and standard deviation and utilise that information to analyse probability questions.
Here, The sample variance is equal to the population variance divided by the sample size if the population is infinite and the sampling is random, or if the population is finite but we are sampling with replacement.
So we need to use the mean of non-normal distribution.
Hence the answer will be the mean of the original non-normal distribution.
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-5(13d+ 11) how can i simplify this?
Answer:
-65d - 55
Step-by-step explanation:
Given expression,
→ -5(13d + 11)
Simplifying the expression,
→ -5(13d + 11)
→ (-5 × 13d) + (-5 × 11)
→ -65d + (-55)
→ -65d - 55
Thus, answer is -65d - 55.
I thought of a 3 digit number. Each digit i the quare of the digit to the right. What i my number?
The answer to the given question is 111.
The complete question might be as follows:
I thought of a 3 digit number. Each digit is the square of the digit to the right. What is my number?
= x*100 + y*10 + z.
Requirements:
y = z^2
x = y^2.
Now we shall start to give values to z. Let us start with zero.
If z = 0, then: y = 0^2 = 0, then: x = 0^2 = 0. Then the number would be 0*100 + 0*10 + 0 = 0. This is not a 3 digit number.If z = 1, then: y = 1^2 = 1, then: x = 1^2 = 1. Then the number would be 1*100 + 1*10 + 1 = 111. This is a 3 digit number.If z = 2, then: y = 2^2 = 4, then: x = 4^2 = 16. Then the number would be 16*100 + 4*10 + 2 = 1642. This is not a 3 digit number. This happened because the first digit (x) is not a single digit number.So, values of z which are equal or larger than 2 can be eliminated.Hence, for the question: I thought of a 3 digit number. Each digit is the square of the digit to the right. What is my number? The answer is 111, because the 3 digit number that would fit the requirements mentioned is only 111.
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SHOW WORK FOR BRAINLIST
Answer:
Below
Step-by-step explanation:
Graph the two lines....where they intersect is the solution:
(-4,3)
OR sub in x = -4 into the first equation to find y = 3
2 1/4 x 3 1/5 answer for the following as a fraction
Answer:
I don't know which one you needed so here you go.....
144/20 (improper fraction version)
7 4/20 (Mixed number answer.) 7 1/5 (Mixed number version simplified)
36/5 (Simplified improper fraction version)
Step-by-step explanation:
2 1/4. I'm going to multiply 4 and 2 which is 8. Then I'll do 1+8=9 so now I can put the 9 on top so it's going to look like this 9/4.
3 1/5. I'm going to multiply 5 and 3 which is 15. Then I'll do 15+1=16 so now I can put the 16 on top and it's going to look like this 16/5.
Now that we have our two numbers (numbers that are bolded), let's multiply them. So first we want to multiply the numerators so 16*9=144. So 144 is going to be the numerator to our answer.
Since we have multiplied the numerator we now multiply the denominators by each other so, 5*4=20
So our answer is going to be 144/20 (improper fraction version)
Or 7 4/20 (Mixed number answer.)
Hope this helps!!! (Please mark me brainliest)
suppose that 11% of people are left-handed. if 5 people are selected at random, find the probability that exactly 2 are left- handed.
The probability that exactly 2 people are left handed if 11% people are left handed and 5 are selected at random is 100.
Probability is a method with the help of which we chose a particular object on random from many given objects.
P(E) = no of favorable outcomes/total number of outcomes
Let there are 100 people
11% are left handed = 11% of 100 = 11
5 are selected randomly.
No of favorable outcomes = 5
Total no of outcomes = 11
Hence, the probability that people selected are left handed is 5/11
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From the given percent of people are left handed and probability of exactly 2 of them are left handed from 5 selected at random is equal to 0.0853.
As given in the question,
Number of people selected at random 'n' = 5
Percent of people are left handed = 11%
Probability of success 'p' = 0.11
Probability of failure 'q' = 1- p
= 1-0.11
= 0.89
Exact number of left handed people 'x' = 2
Probability of people that are exactly left handed
= ⁿCₓ (p)ˣ(q)ⁿ⁻ˣ
=⁵C₂(0.11)²(0.89)⁵⁻²
= (5!/ (5-2)!2!) × (0.0121) × (0.704969)
= 10 × (0.0121) × (0.704969)
= 0.0853
Therefore, from the given percent of people are left handed and probability of exactly 2 of them are left handed from 5 selected at random is equal to 0.0853.
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Select the best answer for the question.
15. A basketball team's free-throw percentage (FT%) is calculated using two other statistics: their free throws attempted (FTA) and free throws made
(FTM). Which of these shows the correct formula?
O A. FT% = FT/FTM* 100%
O B. FT% = FT/FTA * 100%
O C. FT% = (FTM-FTA) * 100%
O D. FT% = (FTA-FTM)* 100%
The correct formula to represent the free throw percentage for the basketball team is given by FT% = FTM/FTA × 100%
The percentage of any quantity is measured by multiplying the ratio of the successful amount and the total amount by 100.
Here
Total number of free throws attempted = FTA (this is the total amount)
Total number of free throws made = FTM (this is the successful amount)
Required percentage = (FTM / FTA ) × 100%
Hence the required correct option is the second one:
FT% = FTM/FTA × 100%
The English word "percentage" derives from the Latin phrase "per centum," which means "by the hundred." Percentages are fractions with a denominator of 100. It is a relationship, in other words, where the value of the whole is always taken to be 100.
Calculating a percentage in terms of 100 is known as calculating a percentage. You can determine a percentage in one of two ways:
We employ a unitary method by changing the denominator of the fraction to 100.
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Can anyone solve this for me?
Answer:
21.17 to 2d.p.
Step-by-step explanation:
Using Pythagoras rearrage to find b c^2-a^2 = b^2
c= hypothenuse
32^2 = 1024 and 24^2 = 576
1024 -576 = 448
[tex]\sqrt{448}[/tex] = 21.1660105
21.17 to 2d.p.
a 70% cu-30% zn brass sheet is 0.09675 cm thick and is 40% cold-rolled. what must be the final thickness of the sheet? (1 point)
The final thickness of the sheet is = 0.0669 cm
brasses are copper zinc alloys. In general, they have good strength and corrosion resistance, although their structure and properties are a function of zinc content , Alloys containing up to approximately 35% zinc are single phase alloys, consisting of a solid solution of zinc and alpha copper
% cold reduction = (initial thickness - final thickness ) × 100
initial thickness
0.30% = (0.0955cm - final thickness ) × 100
0.0955cm
final thickness = 0.0669cm
Brass in an alloy of copper and zinc, bonze is an alloy containing 80% of cropper. A fuses mass of brass and bronze is found to contain 74% . Brass, alloy of copper and zinc, of historical and enduring importance because of its hardness and workability
Hence the final thickness of sheet is 0.0669 cm
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100 POINTS!
PLEASE ANSWER FAST
y=8x+1 in standard form step by step
Answer: y = 8
Step-by-step explanation:
Answer: -8x+y=1
Step-by-step explanation:
Standard form is Ax+By=C
y=8x+1
Move the 8x to the other side of the equation.
y-8x=1
-8x+y=1
Each week Martin revived 8$ allowance. He pent five dollar. How much money did Martin have left to put in aving
Answer:
3
Step-by-step explanation:
Question 3 (2 points)
2
-2 -1
3-
1
-1+
-2+
-3
1 2 3
The function f(x)is graphed on the coordinate plane.
What is f(4)?
Enter your answer in the box.
f(4) =
The value of f(4) = 0 by the given graph.
What is graph?
Graph is diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
Given graph is straight line, and the equation of line is given as
y =mx+b
where m is the slope and as we know y is dependent variable,
we can write it as
f(x)= mx +b
The coordinates are (4,0) and (0,2)
m = 2-0/0-4
m = -1/2
y = -1/2 x +b
we can see the line intersect the y-axis at 0,2
b =2
y = -1/2 x +2
at x =4
f(4) = -2+2=0
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Please help hurry it is worth 12 points if you help me solve
Answer:
Since [tex]s=\frac{3}{4}ft[/tex],
27 ÷ s² = 27 ÷ [tex](\frac{3}{4})^{2}[/tex]
= 27 ÷ [tex]\frac{9}{16}[/tex]
= [tex]\frac{27}{1}[/tex] × [tex]\frac{16}{9}[/tex]
= 48
∴ Mr Grant would need to buy 48 of such square tiles.
Step-by-step explanation:
what that simply means is that the area he needs the files for is 27 ft².
as the tiles are squares, each one has an individual area of s² = 3/4 × 3/4 = 9/16 ft²
how many tiles do we need ?
as b many as how often the area of one tile fits into the total area :
27 ÷ s² = 27 / 9/16 = 27/1 / 9/16 = 27/1 × 16/9 =
= 3/1 × 16/1 = 3×16 = 48
he has to buy 48 tiles.
if electricity power failures occur according to a poisson distribution with an average of 3 failures over 4 weeks, what is the probability that there will be 4 failure during a particular week. what is e[x] are v(x)?
The probability that there will be 4 failure in particular week is 0.00622.
e(x) = 0.75 = v(x)
Given,
If electricity power failures occur according to a Poisson distribution with an average of 3 failures over 4 weeks, what is the probability that there will be 4 failures during a particular week?
To know e(x) are v(x);
From the given info,
So 3/4 failure per 4/4 weeks.
That means on average 0.75 failures per week.
The probability that there will be 4 failure in particular week,
[tex]\frac{e^{-0.75}0.75^{4}}{4!}=\frac{0.4723*0.3164}{24}=0.00622[/tex]
e(x) = Average = 0.75
Poisson distribution have mean and variance same.
So v(x) = 0.75
Hence, the probability that there will be 4 failure in particular week is 0.00622.
e(x) = 0.75 = v(x)
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Identify the maximum value of extreme values possible for each polynomial f(x)=5x^2-8x+12
[tex](\frac{4}{5}, \frac{44}{5})[/tex] is the maximum value of extreme values for the given polynomial.
What is extreme value?
According to the Extreme Value Theorem, if a function is continuous on the interval [a, b], it must have a maximum and a minimum on that range.
Consider, the given function
f(x) = 5x^2 - 8x + 12 ..(1)
Since, if y = f(x) is a function, then the value of x where f'(x) is zero is called extreme value.
Differentiate equation (1) with respect to x.
10x - 8 = 0
10x = 8
x = 8/10
x = 4/5
Plug x = 4/5 in equation (1),
[tex]f(\frac{4}{5}) = 5(\frac{4}{5})^2 -8(\frac{4}{5})+12\\ = \frac{16}{5} -\frac{32}{5} + 12\\ = \frac{44}{5}[/tex]
Therefore, [tex](\frac{4}{5}, \frac{44}{5})[/tex] is the maximum value of extreme values for the given polynomial.
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Answer:
Answer
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tutorconsortium344
is the maximum value of extreme values for the given polynomial.
What is extreme value?
According to the Extreme Value Theorem, if a function is continuous on the interval [a, b], it must have a maximum and a minimum on that range.
Consider, the given function
f(x) = 5x^2 - 8x + 12 ..(1)
Since, if y = f(x) is a function, then the value of x where f'(x) is zero is called extreme value.
Differentiate equation (1) with respect to x.
10x - 8 = 0
10x = 8
x = 8/10
x = 4/5
Plug x = 4/5 in equation (1),
Therefore, is the maximum value of extreme values for the given polynomial.
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Step-by-step explanation:
