Determine whether the following quadratic function has a maximum or a minimum value. Then find the maximum or minimum value and where it occur:
F(x)=-3x²+18x+3
Select the correct choice below and fill in the answer boxes to complete your choice.
(Simplify your answers.)
The function has a maximum value of ___ at x=____.
The function has a minimum value of ____ at x=____.

Answer:

x = 16

y = 10

Step-by-step explanation:

x+5y =46 [1]

x-y =-14 [2]

x=-14+y [3]

put [3] into [1],

x+5y =46

-14+y+5y=46

6y = 60

y = 10

put y=10 into [1]

x+5(10)=46

x = 16

Answer:

$151.50 deducted

Step-by-step explanation:

Walter used his bank's ATM to withdraw $150. This was the sixth time he used the ATM in June. His bank does not charge for the first five ATM uses each month. After that, the fee is $1.50 for each use. What is the total he should subtract from his balance including fees?

1 charge of $1.50 + withdrawal of $150

= $151.50 deducted

Answer:

complement of acute angle = 2x - 46

Step-by-step explanation:

supplementary angles sum to 180° , that is

acute angle + supplement = 180

acute angle + (2x + 44) = 180 ( subtract 2x + 44 from both sides )

acute angle = 180 - (2x + 44) = 180 - 2x - 44 = 136 - 2x

complementary angles sum to 90° , that is

acute angle + complement = 90

136 - 2x + complement = 90 ( subtract 136 - 2x from both sides )

complement = 90 - (136 - 2x) = 90 - 136 + 2x = 2x - 46

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The probability that the customer would come in that time is  0.0007

The question puts the mean u = 7.3

We are required to get the probability of less than 1 customer in one hour. The poisson probability formula is what would be used to solve this problem

the formula is given as

[tex]P(X=x) = e^-^u*^u^x[/tex]/X!

where x = 1

p(X=x) = P(X = 0)

P(X < 1) = P(X = 0)

e⁻⁷.³ x 7.30 / 0!

=  0.0007

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Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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Solving the system of linear inequalities, we get

-4x+3y<15 = (0,5),(-15/4,0)

-6x-4y<12 = (0,-3),(-2,0)

What is a system of linear inequalities?

At least two linear inequalities in the same variables make up a system of a linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

Here, we have

Given inequalities

-4x+3y<15 and -6x-4y<12

Now we solve  the system of linear inequalities

For, -4x+3y<15

When we put x= 0, we get

y = 5

and if we put y = 0 , we get

x = -15/4

For, -6x-4y<12

When we put x= 0, we get

y = -3

and if we put y = 0 , we get

x = -2

Hence,  Solving the system of linear inequalities, we get

-4x+3y<15 = (0,5),(-15/4,0)

-6x-4y<12 = (0,-3),(-2,0)

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Answer:

6261

Step-by-step explanation:

it was 6261 because I have to do a i test at

The correct answer to this question is A.

Answer:

Step-by-step explanation:

$427,011.92

Answer: 18

Step-by-step explanation:

Answer:

x^(9/7)

Step-by-step explanation:

inverse function f(x) = (x^(1/9))^7 = x^(9/7)

The equation for temperature 67, gives the time as 4.8 hours.

What is amplitude?

A sound is a type of energy that is created when objects vibrate. For it to spread, a medium is needed. As a result, sound cannot travel in a vacuum because there is nothing for the sound waves to travel through. The object's back-and-forth movement creates the sound. Sound vibration is the name for this. Additionally called oscillatory motion. Oscillation describes the regular rhythmic back-and-forth movement.

We know that the general equation of a sine wave is:

[tex]$$y(t)=A \{Sin}(W(t-C))+D$$[/tex]

where,

A- Amplitude

D = Average of Max(y) and Min(y);

[tex]W=\frac{2 \pi}{\text { Period }}[/tex]

C - Phase shift on y(axis)

Part a)

Given Max T= 94 and Min T = 66

Hence,

D = (Max+Min)/2 = 80

A = Max - D = 94-80= 14

Since period is 24 hours, so W = 2\pi/24 = \pi/12

Thus the function till now is:

[tex]T(t)=14Sin(\frac{\pi}{12}(t-C))+80[/tex]

Given low temperature occurs at 3 AM so,

T(3)=66

Solving this we get C = 9

Hence,

[tex]T(t)=14Sin(\frac{\pi}{12}(t-9))+80[/tex]

Part b)

Given Max T= 58 and Average = 45

Hence,

D = 45

A = Max - D = 58-45= 13

Since the period is 24 hours, so W = [tex]2\pi/24 = \pi/12[/tex]

Thus the function till now is:

[tex]T(t)=13Sin(\frac{\pi}{12}(t-C))+45[/tex]

Given high temperature occurs at 5 PM so,

T(17)=58

Solving this we get C = 11

Hence,

[tex]T(t)=13Sin(\frac{\pi}{12}(t-11))+45[/tex]

The temperature at 4 AM is:

[tex]T(4)=13Sin(\frac{\pi}{12}(4-11))+45 = 32.44[/tex]

Part c)

Given Max T= 86 and Min T = 64

Hence,

D = (Max+Min)/2 = 75

A = Max - D = 86-75= 11

Since period is 24 hours, so W = 2\pi/24 = \pi/12

Thus the function till now is:

[tex]T(t)=11Sin(\frac{\pi}{12}(t-C))+75[/tex]

Given average temperature occurs at 8 AM so,

T(8)=75

Solving this we get C = 8

Hence,

[tex]T(t)=11Sin(\frac{\pi}{12}(t-8))+75[/tex]

Now,

We need to find t such that T(t) = 67.

[tex]67=11Sin(\frac{\pi}{12}(t-8))+75[/tex]

[tex]\Rightarrow t=4.88945 \approx 4.89 hours[/tex]

Hence, The equation for temperature 67, gives the time as 4.8 hours.

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The table of values for the total cost is:

# of Rides, x    Total cost, y

0                             $8

1                              $11

2                               $14

3                               $17

4                                $20

5                                $23

The table of values create a linear function. This is because the table of value increases by a constant value.

The total cost is the sum of the amount the carnival charges, the number of rides and the cost per ride.

Total cost = cost to enter + (cost per ride x number of rides)

Total cost for 0 ride = $8 + ($3 x 0) = $8

Total cost for 1 ride = $8 + ($3 x 1) = $11

Total cost for 2 rides = $8 + ($3 x 2) = $14

Total cost for 3 rides = $8 + ($3 x 3) = $17

Total cost for 4 rides = $8 + ($3 x 4 ) = $20

Total cost for 5 rides = $8 + ($3 x 5) = $23

The table of values creates a linear function. This is because the total cost increases by a constant amount.

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The nth term of the given Quadratic Sequence is n² + 2n.

Given, a sequence of numbers i.e. 3, 8, 15, 24, 35

Now, we have to find the nth term of this quadratic sequence

Let, the quadratic sequence be defined as,

f(x) = ax² + bx + c

Now, as we have f(1) = 3

So, a + b + c = 3 ... (1)

also, we have f(2) = 8

So, 4a + 2b + c = 8 ... (2)

also, we have f(3) = 15

So, 9a + 3b + c = 15 ... (3)

On solving Eq (1) & (2), we get

3a + b = 5 ... (4)

also, On solving Eq (3) & (2), we get

5a + b = 7 ... (5)

Now, on solving Eq (4) & (5), we get

2a = 2

a = 1

On substituting the value of 'a' in Eq. (5), we get

b = 2

So, the quadratic sequence be f(x) = x² + 2x.

Hence, the Quadratic Sequence f(x) = x² + 2x and the nth term be

n² + 2n.

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Answer:

part A=3x-23=28

part B=17

Step-by-step explanation:

3x-23=28

3x=23+28

3x=51

x=17

On solving the equations y = (-1/2)x + [tex]4\frac{1}{2}[/tex] and 3x - 4y = 12 graphically , the solution is (6 , 3/2) .

In the question ,

it is given that

the equations are y = (-1/2)x + [tex]4\frac{1}{2}[/tex]  and 3x - 4y = 12

which can be written as y = (-1/2)x + 9/2  and 3x - 4y = 12

to plot the graph of the given equations , we need intercept .

For the equation y = (-1/2)x + 9/2

when x= 0  , y = (-1/2)(0) + 9/2 = 9/2

when y = 0 ,

0 = (-1/2)x + 9/2

(1/2)x = 9/2

x = 9

the points are (0 , 9/2) and (9 , 0)

For the equation 3x - 4y = 12

when x = 0 , 3(0) - 4y = 12

-4y = 12

y = -3

when y = 0 , 3x -4(0) = 12

3x = 12

x = 4

the points are (0,-3) and (4,0) .

after plotting the lines on the graph , we can see that the both the lines intersect at the point (6 , 3/2) ,

Therefore , On solving the equations y = (-1/2)x + [tex]4\frac{1}{2}[/tex] and 3x - 4y = 12 graphically , the solution is (6 , 3/2) .

The given question is incomplete , the complete question is

Consider this equation y = (-1/2)x +  [tex]4\frac{1}{2}[/tex]  and 3x - 4y = 12 .

Solve the system by graphing. label each graph.

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value of the slope is 22.3 % per Kg

Charging a single, fixed price for a given service is known as flat rate pricing.

The U.S. Postal Service charges a $21.90 flat rate.

additional $4.90 per kilogram.

slope rate =[tex]\frac{4.90}{21.90} X 100 = 22.3 %[/tex] %

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Vertex of the given parabola : (1,-9), Axis of Symmetry: x = 1, Y-intercept : (0, -8), x-intercept(s) :  (-2,0) and (4,0), and Concavity: opens up.

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

The graph of the parabola is given in the question.

According to the given graph, the required solution would be as:

Vertex of the given parabola : (1,-9)

Axis of Symmetry : x = 1

Y-intercept : (0, -8)

x-intercept(s) :  (-2,0) and (4,0)

Concavity: opens up

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A statement which could be a representation of the events for the simulation is: Assign the numbers 1-7 to represent a made goal and the numbers 8-10 to represent a missed goal.

A simulation can be defined as a model which is designed and developed to imitate the operation of an existing (proposed) real-life system or natural phenomenon, in order to enhance the ability to study, analyze, and make informed decisions about it.

Since this soccer player made 67% of her goal attempts last season, the number of goals the player will make out of 10 attempts in a game is given by:

Number of goals = 67/100 × 10

Number of goals = 0.67 × 10

Number of goals = 6.7 ≈ 7 goals.

Therefore, this soccer player would score seven (7) goals while missing three (3) goals. Also, the 7 goals would be represented by 1 - 7 while the missed goals would be represented by 8 - 10.

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Answer:

25.749504 kilometers

Step-by-step explanation:

16miles  x 1.609(constant) = 25.749504

Answer:

12000 is the correct answer.

Step-by-step explanation:

Hope this helps you :)

Mark has brainiest please

Answer:

7

Step-by-step explanation:

First, we need to get rid of the square root. To do this, square both sides.

(x - 5)^2 = √((x - 3)^2)

x^2 - 10x + 25 = x - 3

Next, continue simplifying

x^2 - 10x + 25 - x + 3 = 0

x^2 - 11x + 28 = 0

(x - 7)(x - 4) = 0

x - 7 = 0         and        x - 4 = 0

x = 7              and        x = 4

Next, plug in these values into the equation

x = 7 ---> 7 - 5 = √(7 - 3)

              2 = √4

              2 = 2

x = 7 is a possible value

x = 4 ---> 4 - 5 = √(4 - 3)

               -1 = √1

x = 4 is an extraneous solution and not a possible value.              

Answer:

7 is the only solution

Step-by-step explanation:

x-5=square root x-3

7-5=square root 7-3

2=square root of 4

2=2

7 is a solution

4-5=square root 4-3

-1= square root of 1

-1=1

hopes this helps please mark brainliest

The function g(t)=100(t-4)/84.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

g(0) = 4

g(1)= 4 + .84x

g(2)= 5.85

g(t) = mt+c

c = 4

g(t) = t-c/m = t-4/0.84 = 100(t-4)/84

Hence, the g(t)=100(t-4)/84.

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The point (0, 1) and (-2.5, 6) is the solution to y = 2x² + 3x + 1 and y = -2x + 1

From the information, we want to solve the system by graphing. y = 2x² + 3 x + 1 and y = - 2 x + 1.

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Given the quadratic and linear equation, y = 2x² + 3x + 1 and y = -2x + 1, the solution is at the intersection of both equations. Here, the intersection point of the equations is the solution of the system i.e. (-2.5,6) and (0,1). Therefore, the point (0, 1) and (-2.5, 6) satisfies this equation.

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Answer: x = 45 degrees

Step-by-step explanation:

We can see that there is a straight line. A straight line is 180 degrees.

We also see a 90-degree angle. There are 2 angles that equal the same amount.

This gives the equation below:

90 + 2x = 180.

Now, we subtract 90 from both sides.

2x = 90.

Now, we divide both sides by 2.

x = 45.

This means that our final answer is 45 degrees.

The measure that best describes the change in the location of the drone is D. -26 1/10m

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, the underwater drone is located 9 3/5 meters below sea level and the drone is moved to a location that is 15 1/2 meters below sea level

The change will be:

= - 9 3/5 - 15 1/2

= - 9 6/10 - 15 5/10

= - 25 1/10

The change is - 25 1/10m.

The options are incorrect.

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Answer:

This is commutative property of supplements