Consider the quadratic function f(x)=8x2-7x 6. what is the constant of the function? a. -7b. 6c. 7 d. 8

Answer:

The slope of this line will be y=-3/4x+3

Step-by-step explanation:

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It is true that the A shift is a type of permutation where elements in a sequence or set are moved to the right or left by a certain number of positions.

For example, shifting the sequence (1,2,3,4,5) to the right by 2 positions would result in the sequence (4,5,1,2,3). This can be represented mathematically as (1,2,3,4,5) → (4,5,1,2,3), which is a permutation of the original sequence. Shifts can be useful in various applications, such as cryptography or data compression, where rearranging elements in a sequence can improve efficiency or security.

True. A shift is a specific type of permutation. In general, a permutation refers to the arrangement of objects in a particular order. A shift, also known as a cyclic permutation, involves moving elements of a set in a fixed direction, such that the order is maintained, but the elements change positions. In a shift, the first element moves to the last position, while all other elements move one position forward. This maintains the relative order of the elements and results in a new arrangement. Therefore, a shift is a type of permutation, as it represents an altered ordering of the elements in a set.

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Military or computer time, also known as the 24-hour clock, is a method of timekeeping that represents the hour of the day using a single continuous count of 24 hours. This system avoids the ambiguity that can arise from using the 12-hour clock, which uses AM and PM notations. In the 24-hour clock, hours are numbered from 00 to 23, and minutes are numbered from 00 to 59.

To convert 6:20 AM to military time, you can simply represent the hour "6" with "06" and keep the minutes "20" unchanged, as morning hours are the same in both systems. Therefore, 6:20 AM in military time is 06:20.

For converting 2:30 PM, you need to add 12 hours to the hour part of the time, as military time counts hours continuously from 0 to 23. In this case, 2 + 12 = 14, so the hour becomes "14". The minutes "30" remain unchanged. Thus, 2:30 PM in military time is 14:30.

In summary, 6:20 AM and 2:30 PM in military/computer time are 06:20 and 14:30, respectively.

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The probability that a randomly selected observation is between 13 and 45 is 0.80.

First observation = 13

Second observation = 45

Interval =  ( 10,50)

It is required to determine the percentage of the range that is between those values in order to determine the likelihood that a randomly chosen observation on the interval (10, 50) for a uniform random variable is between 13 and 45.

Calculating the length of the interval (10, 50) -

= 50 - 10

= 40.

Calculating the length of the subinterval (13, 45) -

= 45 - 13

= 32.

Calculating the probability -

Dividing the length of the subinterval by the length of the entire interval:

Probability = Length of the subinterval/ Length of the interval

= 32 / 40

= 0.8

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If the taxi operated every day, the annual profit per taxicab license would be $8,030. The market price of a taxicab license, assuming a 10% interest rate and constant conditions, would be $220. The number of additional licenses needed to reduce the taxicab price per ride to $5 would depend on the demand and supply conditions.

(1) The competitive equilibrium price per ride is determined by setting the price equal to the marginal cost. Thus, the competitive equilibrium price is $5. The equilibrium number of rides per day can be calculated by substituting the price into the demand function D(P) = 1200 - 20p, giving 1,000 rides.

(2) In 1995, the demand curve changed to D(n) = 1220 - 20p. By setting the demand equal to the supply, the equilibrium price of a ride in 1995 can be determined, which is $6.10.

(3) The profit per ride in 1995, can be calculated by subtracting the marginal cost ($5) from the equilibrium price ($6.10), resulting in a profit of $1.10 per ride. The profit per taxicab license per day is obtained by multiplying the profit per ride by the taxi capacity, resulting in $22. If the taxi operates every day, the annual profit per taxicab license will be $8,030.

(4) The market price of a taxicab license can be determined by discounting the annual profit per taxicab license, resulting in $220.

(5) The exact number of additional licenses needed would depend on the specific demand and supply conditions.

(6) The value of a taxicab license at the new fare of $5 would depend on the expected profits generated at that price.

(7) It depends on the perceived impact on their profits and on their individual valuations and expectations.

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Answer:

y=12

Step-by-step explanation:

Answer: The Third option

Step-by-step explanation: Its because the graph lines with with 5 on the 3rd quadrant, (y axis). And the 4 comes out with the same 3rd quadrant but on the x axis. The set shows its being less or more (cuz of the line below the less sign) so that implies that the shaded part is referring to:    x+y<5  (third option)    

By finding the equation of shown straight lines, we can say that

\(x+y\leq 5\\2x-y\leq 8\\x\geq 0\\y\geq 0\)

First of all, we need to find out the equations of the pair of the straight lines shown in the figure.

\(y= mx+c\)

Where m is the slope = \(= \frac{y2-y1}{x2-x1}\)

And (x1,y1) and (x2,y2) are two points on the graph.

The equation of the line passing through points (5,5) is

\(y=\frac{5-0}{0-5} x + c\\\\y=-x+c\\\\\)\(x+y = 5\)

Since it passes through the point (5,0) so this point will satisfy the equation.

Put (5,0) in the above equation.

0 = -5+ c

c= 5

Equation: \(x+y =5\).......eq(1)

Similarly, the equation of the line passing through the points (8,8) and (0,-8) is

\(y= 2x-8\).......eq(2)

Therefore, from the derived equations(i) and (ii), we can say that

\(x+y\leq 5\\2x-y\leq 8\\x\geq 0\\y\geq 0\)

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Answer:

Choose two points on the line. Any two points will work. ...

Draw a triangle showing the horizontal movement to the right and the vertical movement (up or down).

Label the triangle with the change in the \ (x\)-coordinate and the change in the \ (y\)-coordinate.

Work out the value of the change in the \ (y\)-coordinate divided by the change in the \ (x\)-coordinate.

Step-by-step explanation:

The breakeven quantity is 2,000 units and the revenue at breakeven is $90,000.

(i) When x = 2, f(x) = -2ln(2) - 4f(2) = -2ln(2) - 4 ≈ -6.386 (ii) The function g(x) = 3x² is defined for all values of x.

Hence the domain of g(x) is (-∞, ∞)(iii) f∘g is given by f(g(x))

Therefore, f(g(x)) = f(3x²) = -2ln(3x²) - 4 = -2(2ln(3) + ln(x)) - 4 = -4ln(3) - 4ln(x) - 4(iv) g∘f(1) = g(f(1)) = g(-2ln(1) - 4) = g(-4) = 3(-4)² = 48(b).

Let's find the slope of the line passing through the points (-1, 1) and (-2, 2) Slope of the line passing through the points (-1, 1) and (-2, 2) is given by: $$\frac{y_2-y_1}{x_2-x_1}=\frac{2-1}{-2-(-1)}=\frac{1}{1} = 1$$ Since we need to find the equation of the line that is perpendicular to this line, we can find the slope of this line by taking the negative reciprocal of the slope of the line passing through the points (-1, 1) and (-2, 2) Slope of the line perpendicular to the line passing through the points (-1, 1) and (-2, 2) is given by: $$- \frac{1}{1} = -1$$ Now we have the slope of the required line, and we also know that this line passes through the point (5, -3). Let's use the point-slope form of the equation of a line to find the equation of the required line: $$y - y_1 = m(x - x_1)$$$$y - (-3) = -1(x - 5)$$$$y + 3 = -x + 5$$$$y = -x + 2$$

Hence, the equation of the line that passes through the point (5, -3) and is perpendicular to the line that passes through the points (-1, 1) and (-2, 2) is y = -x + 2(c) Let's equate the given functions: f(x) = x² + 2x + 3 g(x) = 2x² - x - 1 Now we have: x² + 2x + 3 = 2x² - x - 1 Rearranging, we get: x² - 3x + 4 = 0 Solving for x, we get: x = 1 or x = 3 Substituting x = 1 in the given functions, we get: f(1) = 6 and g(1) = 0 Substituting x = 3 in the given functions, we get: f(3) = 18 and g(3) = 14

The two lines intersect at the points (1, 6) and (3, 14)(d) Cost per unit = $15 Selling price per unit = $45Fixed cost = $60,000

Let's find the breakeven quantity and revenue: Breakeven quantity = Fixed cost / Contribution per unitLet's find the contribution per unit:Contribution per unit = Selling price per unit - Cost per unit Contribution per unit = $45 - $15 = $30Breakeven quantity = $60,000 / $30 = 2,000 units Revenue at breakeven = Selling price per unit × Breakeven quantity Revenue at breakeven = $45 × 2,000 = $90,000

Hence, the breakeven quantity is 2,000 units and the revenue at breakeven is $90,000.

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

The second one .......

Answer:

The answer is A) -1, 0, 1, -3.

Step-by-step explanation:

The domain is the x value on a chart and those four numbers are all plotted.

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We have a segment with 3 points. The complete segment goes from A to C, and point B divides it in 2 sibsegments (AB and BC)

Note that segment AC is composed by those 2 subsegments, so its complete legth will be equal to the sum of the leghts of subsegments AB and BC. Then, we can build the following equation:

As we know the lengths in terms of x, we just need to replace in the previous equation:

Now, we can solve for x:

The matching for different kinds of telescopes is shown. (Refer to the matching shown below.)

A telescope is a tool used to view distant objects through the electromagnetic radiation that they emit, absorb, or reflect.

The term "telescope" now refers to a broad range of instruments capable of detecting different regions of the electromagnetic spectrum, and in some cases, other types of detectors, in addition to the original meaning of the word, which was only an optical instrument using lenses, curved mirrors, or a combination of both, to observe distant objects.

Refracting telescopes with glass lenses were the first practical telescopes ever made, and they were developed in the Netherlands at the start of the 17th century.

The matching according to the question:

Reflecting Telescopes: The Hubble Space Telescope, the largest telescope in the world, is currently the one most frequently used by professional astronomers.

Refracting Telescopes: In Galileo's telescopes, very large telescopes become "top-heavy," incoming light travels through glass, and the largest reflecting telescope in the world has a diameter of one meter.

Therefore, the matching for different kinds of telescopes is shown.

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Answer:

Answer below

Step-by-step explanation:

The coordinates of vertex in triangle 1 - A = 4, 2   B= 6, 8   C= 8, 4

The coordinates of vertex in triangle 2- A= -4, 2   B= -6, 8   C= -8, 4

To do this you write the coordinates of the vertex ( corners of the the triangle )

HOPE IT HELPED

Answer:

Shape #1:

A (4,2)

B (6,8)

C (8,5)

Shape #2:

A' (-4, 2)

B' (-6, 8)

C' (-8, 5)

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The number of distinct permutations of the word appalachian that have all a’s together is 1,663,200 different ways.

The number of distinct permutations of the word appalachian that have all a’s together is calculated as follows;

The given word;

appalachian - the total number of the letters = 11 letters

If we put all the A's together, we will have;

= aaaapplchin

There 4 letters of A

The number of distinct permutations of the word appalachian that have all a’s together is calculated as;

= 11! / 4!

= 1,663,200 different ways.

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Total number of ways 10 kids to line up with the condition of all the boys are ahead of all the girls is equal to 14,400.

As given in the question,

Total number of kids to line up during recess is equal to 10

Number of boys to line up = 5

Number of girls to line up = 5

Given condition :

All the boys should be ahead of all the girls

Number of ways 5 boys can be arrange in a line

= 5!

= 5 × 4 × 3 × 2 × 1

= 120

Number of ways 5 girls can be arrange in a line

= 5!

= 5 × 4 × 3 × 2 × 1

= 120

Total number of ways 10 kids to line up such that all boys are ahead of all girls is equal to

= 120 × 120

= 14,400

Therefore, total number of ways 10 kids to line up with the condition of all the boys are ahead of all the girls is equal to 14,400.

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Thus, the extreme points of s are (0,0), (2,2), (2,0), and (0,2), and the extreme directions are [2 -4], [-1 1], [0 1], and [0 -1].

To find the extreme points and extreme directions of the polyhedral set s, we need to first write down the set in standard form. We can rewrite the constraints as:

2x1 - 4x2 <= -4
-x1 + x2 <= 2
x2 <= 4
x2 >= 0

The first two constraints can be written as a matrix inequality:
[2 -4; -1 1][x1; x2] <= [4; 2]

The last two constraints can be written as x2 <= 4 and x2 >= 0. Thus, the polyhedral set s can be written as:
s = {x in R^2 : [2 -4; -1 1][x1; x2] <= [4; 2], x2 <= 4, x2 >= 0}

To find the extreme points, we can solve the linear program:

maximize 0x1 + 0x2
subject to [2 -4; -1 1][x1; x2] <= [4; 2]
x2 <= 4
x2 >= 0

The objective function is just 0x1 + 0x2, so it doesn't matter what the values of x1 and x2 are. The constraints, however, determine the feasible region. The intersection of the constraints is a polygon with vertices at (0,0), (2,2), (2,0), and (0,2). These are the extreme points of s.

To find the extreme directions, we need to look at the gradients of the constraints at each extreme point. If the gradient is non-zero, then that constraint is active at that point and the corresponding direction is extreme. The gradients of the constraints are:

[2 -4] for the first constraint
[-1 1] for the second constraint
[0 1] for the third constraint
[0 -1] for the fourth constraint

At the point (0,0), the first two constraints are active and their gradients are non-zero. Thus, the extreme directions are along [2 -4] and [-1 1].

At the point (2,2), the first two constraints and the third constraint are active. The gradients of the first two constraints are non-zero, as before, and the gradient of the third constraint is [0 1]. Thus, the extreme directions are along [2 -4], [-1 1], and [0 1].

At the point (2,0), the first two constraints and the fourth constraint are active. The gradients of the first two constraints are non-zero, and the gradient of the fourth constraint is [0 -1]. Thus, the extreme directions are along [2 -4], [-1 1], and [0 -1].

At the point (0,2), the second constraint and the third constraint are active. The gradient of the second constraint is non-zero, as before, and the gradient of the third constraint is [0 1]. Thus, the extreme directions are along [-1 1] and [0 1].

Therefore, the extreme points of s are (0,0), (2,2), (2,0), and (0,2), and the extreme directions are [2 -4], [-1 1], [0 1], and [0 -1].

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Answer:

i would pick A,B,D,F

-ANime❤

Step-by-step explanation:

The ratio is 2 to 5 or 2:5 or 2/5. All these describe the ratio in different forms of fractions. The ratio can consequently be expressed as fractions or as a decimal. 2:5 in decimals is 0.4.

Answer:

7

Step-by-step explanation:

Answer:

no answer

Step-by-step explanation:

2(-2)+3=-2

simplify

-4+3=-2

simplify

-1=-2

No answer

If there's something along the lines of no answer and it's multiple choice click that.

Answer:

Step-by-step explanation:

Use the fact that C + 118 = 180       Subtract 118 from both sides

C + 118 - 118 = 180 - 118

C = 62

C + 57 = B          C and A are remote interior angles.  They equal the exterior angles that are not supplementary to B.

62 + 57 = B

B = 119

Answer:

y = 1375

Step-by-step explanation:

Divide 11 and 8

Answer:

yes, y=1.375x

Step-by-step explanation:

A direct variation is when y varies directly with x, which means that if x increases y would also increase, and when x decrease, y also decreases. You can see on the chart that it is a direct variation because as x is increasing y is also increasing.

Then you find the slope of the equation using the values on the chart. (8,11) and (16,22) you use the slope formula and you get the slope as 11/8 in decimals it would be 1.375

The correct answer to the quadratic equation is x = the quantity of 1 plus or minus the square root of 17 all over 2

The exact solutions of the quadratic equation x^2 - x - 4 = 0 can be found using the quadratic formula. According to the quadratic formula, the solutions are given by the formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this equation, a = 1, b = -1, and c = -4. Substituting these values into the formula, we have:

x = (-( -1) ± √((-1)^2 - 4(1)(-4))) / (2(1))

Simplifying further:

x = (1 ± √(1 + 16)) / 2

x = (1 ± √17) / 2

Therefore, the exact solutions of the quadratic equation x^2 - x - 4 = 0 are:

x = (1 + √17) / 2

x = (1 - √17) / 2

To summarize, the correct answer is:

x = the quantity of 1 plus or minus the square root of 17 all over 2

To solve the quadratic equation, we use the quadratic formula, which is a general formula for finding the solutions of any quadratic equation. By comparing the given equation to the standard form of a quadratic equation (ax^2 + bx + c = 0), we can identify the values of a, b, and c. Substituting these values into the quadratic formula, we can simplify the expression to find the exact solutions of the equation. In this case, the quadratic formula yields two solutions, which can be written in the form of "x = ..." with the expressions inside the square root representing the discriminant of the equation. The discriminant determines the nature of the solutions: if it is positive, there are two distinct real solutions, if it is zero, there is one real solution, and if it is negative, there are two complex solutions. In this case, the discriminant (√17) is positive, indicating that there are two distinct real solutions, as given by the answer.

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Answer:

read below for answers

Step-by-step explanation:

7. 4d + 6 =42

d = 9

8. -3y + 12 = -48

y = 20

9. k/2 + 9 = 30

k = 42

10. g/3 - 7 = 15

g = 66

11. z/5 + 3 = -35

z = -190

12. -9h - 15 = 93

h = -12

13. -3(n + 5) = 12

n = -9

14. -17 + b/8 = 13

b = -32

15. 7( c- 12 ) = -21

c = 9

16. -3 + p/7 = -5

p = -14

17. 46 = -6t - 8

t = -9

When equation f(x) = 3x + 4 is transformed to h(x) = f(x + 3) and plotted on the graph, both the lines of the equations are parallel to each other.

So, the equations are graphs are:

Now, graph both equations as follows:

Therefore, when equation f(x) = 3x + 4 is transformed to h(x) = f(x + 3) and plotted on the graph, both the lines of the equations are parallel to each other.

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Answer:

\(Area \ of \ sector = \pi r^2 \frac{\theta}{360} = \pi \times 5 \times 5 \times \ \frac{75}{360} = 16.35 = 16.4yd^2\)

option 2

Therefore , the solution to the given problem of trigonometry comes out to be  angle of elevation : 62.3°.

The area of mathematics called trigonometry examines the correlation between triangle length l. The field first came into existence in the Classical world, presumably in the third-century BC, as a result of the integration of geometry with astronomy studies. Precise approaches mathematics deals with certain trigonometric equations and possible uses of them in calculations. There are six common trigonometric functions in trigonometry. They are known by their respective names and abbreviations sine, trigonometry, tangent, secant, etc. cosecant (csc). The studies of triangle aspects, particularly those right triangles, is known as trigonometry. However, studying geometry entails learning about all polygons' characteristics.

Here,

given  :

An aircraft is being followed by two radar stations, which are 4.3 miles apart.

Station A is 9.6 miles away from the plane in a straight line.

Thus,

To find the angle of elevation  from station A to plane :

Using Trigonometric ratios:

=> Sin A  = 8.5 / 9.6

=> Sin A = 85/96

=> A =  \(Sin^{-1}\)(85/96 )

=> A = 62.302840124651483 °

=> A = 62.3°

Therefore , the solution to the given problem of trigonometry comes out to be  angle of elevation : 62.3°.

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Answer:

70 degrees

Step-by-step explanation:

The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:

x+55+55=180

x+110=180

x=180-110=70

Hope this helps!