Given the function f(x) = -5|x + 11 + 3, for what values of x is f(x) =-12?
x= -2, x=-4
x= -2, x = 4
x=2, x=-4
x=2, x = 4

Option B: \(10x^2 + 47.62x - 84.18.\) is correct

What is the quadratic equation?

A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable being solved for.

The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side. A quadratic equation has at most two solutions.

If there is only one solution, one says that it is a double root. If all the coefficients are real numbers, there are either two real solutions, or a single real double root, or two complex solutions that are complex conjugates of each other.

To simplify the expression, we need to use the distributive property of multiplication.

\((5x - 6.9)(2x + 12.2)\\= 5x(2x) + 5x(12.2) - 6.9(2x) - 6.9(12.2)\\= 10x^2 + 61x - 13.38x - 84.18\\= 10x^2 + 47.62x - 84.18\\\)

Hence, (5x - 6.9)(2x + 12.2) simplifies to \(10x^2 + 47.62x - 84.18\).

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Sincerity is indeed a valuable attribute when declining a promotion. It reflects honesty, authenticity, and respect for oneself and others involved in the decision-making process.

Being sincere in declining a promotion can help maintain positive relationships, preserve trust, and ensure open communication within the professional setting.

When faced with the decision to decline a promotion, expressing sincerity is essential. By being sincere, one communicates their genuine thoughts and feelings about the promotion, providing transparency to their superiors and colleagues. Sincerity demonstrates honesty and integrity, as individuals express their true desires and motivations without resorting to insincere or fabricated reasons.

It shows respect for the organization and the opportunity presented, while also considering personal goals, aspirations, and career trajectory. Additionally, sincerity in declining a promotion helps foster positive relationships with superiors, as they appreciate the open and honest communication, leading to a better understanding of one's professional aspirations and potential for growth. Overall, sincerity in such situations promotes a healthy work environment built on trust, understanding, and mutual respect.

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TRUE. In a free body diagram, a roller support is replaced by two reaction forces.

A roller support is a type of support that allows a structure to rotate or move along a surface without any resistance to translation. It provides support in the perpendicular direction to the surface, but allows movement in the parallel direction.

To represent a roller support in a free body diagram, two reaction forces are used. One force acts perpendicular to the surface and is known as the normal force. This force prevents the structure from sinking into the surface. The other force acts parallel to the surface and is known as the frictional force. This force prevents the structure from sliding along the surface.

By including these two reaction forces in the free body diagram, the roller support is accurately represented, taking into account the constraints it imposes on the structure.

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To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

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A Distance between 1st tree and 2nd tree is 5m

similarly it's 10m between 1st and 3rd trees and so on.

So, the total distance between the first and last tree will be :

\( \hookrightarrow \: (n -1) \times d\)

where,

\( \hookrightarrow \: (20 - 1) \times 5\)

\( \hookrightarrow \: 19 \times 5\)

\( \hookrightarrow \: 95\)

Therefore, the distance between first and last tree is 95 m.

Answer:it is 16%

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

Answer:

I think Direction

Step-by-step explanation:

I'm not sure

Answer:

location

Step-by-step explanation:

The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;

8. \(\overline {ST}\) is parallel to \(\overline{PR}\)

9. \(\overline{ST}\) is parallel to \(\overline{PR}\)

10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)

11. x = 57.6

12. x = 25.8

13. x = 11

14. x = 10

15. x = 5

16. x = 17

Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.

8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625

Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)

9. The ratio of the sides the parallel side to the base divides the other two sides are;

33/41.8 = 15/19

45/(102 - 45) = 45/57 = 15/19

Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)

10. The ratio of the sides the segment \(\overline{ST}\)  bisects the other two sides are;

24/57 and 19/38

24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)

Second part; To solve for x

11. x/30 = 48/25

x = (48/25) × 30 = 57.6

x = 57.6

12. x/34.4 = (49 - 28)/28

x = 34.4 × (49 - 28)/28 = 25.8

x = 25.8

13. (2·x + 6)/52.5 = 32/60

(2·x + 6) = 52.5 × (32/60)

x = (52.5 × (32/60)) - 6)/2 = 11

x = 11

14. (x - 3)/21 = (x - 1)/27

27·x - 27 × 3 = 21·x - 21

27·x - 81 = 21·x - 21

6·x = 60

x = 60 ÷ 6 = 10

x = 10

15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)

15/20 = (4·x - 2)/(7·x - 11)

15 × (7·x - 11) = 20 × (4·x - 2)

105·x - 165 = 80·x - 40

105·x - 80·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

x = 5

16. (x - 3)/35 = 4/(x - 7)

(x - 3) × (x - 7) = 35 × 4 = 140

x² - 10·x + 21 = 140

x² - 10·x - 119 = 0

(x - 17) × (x + 7) = 0

x = 17 or x = -7

Therefore, the possible value of x is 17

x = 17

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The required answer is TRUE. ∇·(∇×F) = 0 for any vector field of the form F = Fi + Gj.

Explanation:

TRUE. ∇·(∇×F) = 0 for any vector field of the form F = Fi + Gj.
To show this is true, we can use vector calculus identities. First, we can expand the curl of F:
∇×F = (∂G/∂x - ∂F/∂y)k
where k is the unit vector in the z-direction.
Next, we can take the divergence of this expression:
∇·(∇×F) = ∇·(∂G/∂x - ∂F/∂y)k
Using the identity ∇·(fA) = f(∇·A) + A·(∇f), we can simplify this expression:
∇·(∇×F) = (∇·∂G/∂x - ∇·∂F/∂y)k
But the divergence of a component function is simply the second partial derivative with respect to that variable, so we can further simplify:
∇·(∇×F) = (∂²G/∂x² + ∂²F/∂y²)k
no z-component in the original vector field F, the partial derivatives with respect to z will be zero.

Since F is of the form F = Fi + Gj, we know that it has no z-component, and therefore the divergence of (∇×F) must also have no z-component. But the only z-component in the expression we just derived is k, so it must be zero. Therefore,
∇·(∇×F) = 0
for any vector field of the form F = Fi + Gj.

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An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equation that can be used to find Giselle's age is

3x + 10 = 5 + 2 (x + 10)

Giselle's age is 15 years.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Giselle's age = x

Father age = 3x

Now,
After 10 years his age will be 5 more than twice her age.

This can be written as,

3x + 10 = 5 + 2 (x + 10)

Solve for x.

3x + 10 = 5 + 2x + 20

3x - 2x = 5 + 20 - 10

x = 15

Thus,

The equation that can be used to find Giselle's age is

3x + 10 = 5 + 2 (x + 10)

Giselle's age is 15 years.

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Answer:

the equation of standard form is C = Ax+By.

Answer:

y=mx + b, A

Step-by-step explanation:

y=x would be a diagonal line

ax+by=c is standard form

please brainliest

Answer:

The answer to the question provided is possibly 2.

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: \: \: \: 3y + 77 = 2y + 79 \\ \frac{ - 2y \: \: \: \: \: \: = - 2y}{1y + 77 = 79} \\ \frac{ \: \: \: \: \: \: \: \: - 77 = - 77}{ \frac{1y}{1} = \frac{2}{1} } \\ \\ y = 2\)

Since B is the midpoint of AC.

AB = BC

3x + 6 = x + 14

Solve for x :

3x - x = 14 - 6

2x = 8

x= 8/2

x= 4

The dimension of the column space of a matrix is equal to the rank of the matrix as well , Dim Col A is also 2.

The maximum number of rows or columns in a matrix that are linearly independent is the matrix's rank.

Given that the null space of a 7 x 5 matrix is 3-dimensional, we can conclude that the rank of the matrix is:

Rank(A) equals the number of columns minus the size of the null space

= 5 - 3

= 2

So, Rank A is 2.

The dimension of the row space of a matrix is equal to the rank of the matrix. Dim Row A is therefore also 2.

A matrix's rank and the dimension of its column space are both the same.

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Since the remaining distance is negative, it implies that Sam has already exceeded his goal distance. Therefore, he doesn't need to walk any further to reach his goal.

To find the remaining distance that Sam needs to walk to reach his goal of (3)1/2 miles, we need to subtract the distance he has already walked from his goal distance.

Sam walks (1)1/8 miles before lunch and 3/4 miles after resting. To calculate the total distance he has walked, we add these two distances:

Total distance walked = (1)1/8 + 3/4

To add these fractions, we need to find a common denominator, which is 8 in this case

Total distance walked = (9/8) + (6/8)

= 15/8

= 1 (7/8)

Now, we subtract the total distance walked from Sam's goal distance:

Remaining distance = (3)1/2 - 1 (7/8)

To subtract fractions, we also need a common denominator. The common denominator is 2 in this case:

Remaining distance = (6/2 + 1/2) - (15/8)

= (12/8 + 1/8) - (15/8)

= 13/8 - 15/8

= -2/8

= -1/4

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Answer:

D; 18 = 2(3.14) cm^2, The fourth option

Step-by-step explanation:

Rectangle:

6 x 3 = 18cm

Semi Circle:

Radius: 2cm

A = (3.14)r^2

A = 2(3.14) cm^2

Answer:

2

Step-by-step explanation:

Let's take any two points on the graph

1. (7, 3)

2. (8, 5)

Slope

= Δy/Δx

= 2/1

= 2

Answer:

x ≈ 26.83

Step-by-step explanation:

using the sine ratio in the right triangle

sin59° = \(\frac{opposite}{hypotenuse}\) = \(\frac{23}{x}\) ( multiply both sides by x )

x × sin59° = 23 ( divide both sides by sin59° )

x = \(\frac{23}{sin59}\) ≈ 26.83 ( to 2 decimal places )

The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

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Answer:

Step-by-step explanation:

The answer is Economists

Answer: economists

Step-by-step explanation: got it right

Answer:

wow

Step-by-step explanation:

Answer:

     x = -1          y = 2

Step-by-step explanation:

Notice that the coefficients of x are opposites of each other.  That makes the problem so much easier to solve.  All you have  to do is add the two equations and the x terms will be eliminated.

2x - 4y = -10

-2x - y = 0

    - 5y = -10

        y = 2        Substitute y = 2 into the first equation.  2x - 4(2) = -10

                                                                                          2x - 8 = -10

                                                                                               2x = -2

                                                                                                 x = -1

It is always a good idea to check your results into the equations to see if they satisfy the equations.

Answer:

I hope this helps :)

Step-by-step explanation:

- Least:  -3

-  -2.5

-  -3/4

-  -3/8

-  1/4

-  3.1

-  16/5

- Greatest: 6

The arrangement is -3, -2.5, -0.75, -0.375, 0.25, 3.1, 3.2, 6.

Arranged in a series that begins with the least or smallest and ends with the greatest or largest.

Given:

16/5 -3 6 3.1 -2.5 1/4 -3/4 -3/8

We can also write it as

3.2  -3  6  3.1  -2.5  0.25  -.075  -0.375

the smallest number is -3

and the largest number is 6

Hence, the arrangement is as follows : -3, -2.5, -0.75, -0.375, 0.25, 3.1, 3.2, 6

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Answer:

you don't put the L value

Answer:

(-3,3)

Step-by-step explanation:

Point (-3,3) is inside QRS

I hope this helps!! Let me know if you need anymore help

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. The total annual cost for Bank B is $174.40.

To compare the cost of online banking, Tim Worker needs to consider various factors, including the basic monthly fee, bill paying monthly fee, limits on the number of checks written, and cost per bill beyond the limit. The basic fee is the amount charged by the bank for providing access to online banking services.

The bill paying fee is charged for each payment made through the online bill pay service. The limit on the number of checks written is the maximum number of checks that can be written in a given month without incurring additional charges. The cost per bill beyond the limit is the amount charged for each bill payment made beyond the specified limit.

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. To calculate the annual cost for Bank B, we can multiply the basic fee and bill paying fee by 12 and add the cost of any additional bills beyond the limit, multiplied by the cost per bill and the number of months in a year.

The total annual cost for Bank B is $174.40, calculated as follows:

Basic fee = $9.95 * 12 = $119.40

Bill paying fee = $5.95 * 12 = $71.40

Cost of bills beyond limit = $1 * (35 - 20) * 12 = $180

Total cost = $119.40 + $71.40 + $180 = $371.80

However, since the cost per bill beyond the limit is capped at $20 per month, the actual cost is $9.95 * 12 + $5.95 * 12 + $20 * 12 = $174.40.

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Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1x62=62

2x31=62