Which equation is equivalent to the given equation?
0= -x² + x + 12
x² + x + 12 = 0
x² - x + 12 = 0
x² + x - 12 = 0
x² - x - 12 = 0

Answer:

sorry i can't help

Step-by-step explanation:

Answer: 11

Step-by-step explanation: 7 plus 11 equals 18

Answer: The answer is C

Step-by-step explanation: so yeah

Answer:

3/2 im oretty sure thats the answer

Answer:

7/2

3 as a whole number = 6/2

6/2 + 1/2 = 7/2

Step-by-step explanation:

The maximum and minimum values of the function is solved

Given data ,

We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.

y = (sin x)³ - (sin x)⁶

y' = 3(sin x)² cos x - 6(sin x)⁵ cos x

Setting y' equal to zero:

0 = 3(sin x)² cos x - 6(sin x)⁵ cos x

0 = 3(sin x)² cos x (1 - 2(sin x)³)

sin x = 0 or (sin x)³ = 1/2

If sin x = 0, then x = kπ for any integer k.

If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.

To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.

y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x

y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)

For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.

For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.

Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3

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Answer:

Step-by-step explanation:

You want the maximum and minimum values of the function ...

  y = sin³(x) -sin⁶(x)

When we substitute sin³(x) = z, we have the quadratic expression ...

  y = z -z² . . . . . a quadratic function

Adding and subtracting 1/4, we can put this in vertex form:

  y = -(z -1/2)² +1/4

This version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.

The maximum value of y is 1/4.

The sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...

  y = (-1) -(-1)² = -1 -1 = -2

The minimum value of y is -2.

__

Additional comment

The range of y is confirmed by a graphing calculator.

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Answer:

point = ( -6, 2)

slope = -3

Step-by-step explanation:

point slope formula;

y - y1 = m ( x - x1) ,

where m= slope , (x1, y1) = the coordinates of a point

y - 2 = -3 ( x + 6)

a point the line passes through = (-6 , 2)

slope of the line = -3

Answer:

---------------------

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

The perimeter of the field is 4x + 6/(x + 1)(x - 1).

Given that a field has a width of 5/x²-1 and the length is 2/x+1,

We need to find the perimeter,

A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle,

Perimeter of a rectangle = 2(l+w)

= 2(5/x²-1+2/x+1)

= 2((2(x-1)+5)/(x + 1)(x - 1)

= 4x + 6/(x + 1)(x - 1)

Hence the perimeter of the field is 4x + 6/(x + 1)(x - 1).

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Answer:

3x=P

Step-by-step explanation:

The 3x shows how many campers can fit in one tent so x=campers and then the p is to show how many tents the camp leader needs.

Step-by-step explanation:

To solve for the x-intercept, set y=0 then solve for x.

y=−3x−9. 0=−3x−9. 3x=−9.

x=−3 when y=0.

To solve for the y-intercept, set x=0 then solve for y.

y=−3x−9. y=−3(0)−9. y=−9 when x=0.

Hi there!

Y-intercept:

Set the x value to 0:

y = 3(0) + 9

y = 9 --> (0, 9)

X-intercept:

Set the y value to 0:

0 = 3x + 9

Solve for x:

-9 = 3x

x = -3 --> (-3, 0)

The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

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Answer:

3/4 lbs more

Step-by-step explanation:

1 1/2 - 3/4 = 3/4

You need 3/4 lbs more coffee to have 1 1/2 lbs

Option (B) (3 + 2i) (3 - 2i) is the expression that has the whole number product.

Whole number:

Whole number refers the numbers without fractions and it is a collection of positive integers and zero and represented by the symbol “W” and the set of numbers are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,……………}.

Given,

Here we have the following expression:

(A) (4- 2i) (4 - 2i)

(B) (3 + 2i) (3 - 2i)

(C) (-6+ i)(3- i)

(D) (-4+3i)(4-3i)

Now, we need to find the whole number product.

In order to find the solution we have to perform the multiplication on the given expression,

First expression will gives the following,

(A) (4 - 2i) (4 - 2i)

When we apply the (a-b)² formula in it then we get,

=> 4²+ (2i)² - (2 x 4 x 2i)

=> 16 - 4 - 16i

=> 12 - 16i

Which is not a whole number product.

Second expression,

(B) (3 + 2i) (3 - 2i)

Apply the (a + b)(a - b) formula in it,

Then we get,

=> 3² - (2i)²

=> 9 + 4

=> 13

Therefore, this one is the whole number product.

Third expression,

(C) (-6 + i) (3 - i)

When we perform the multiplication on it, then we get,

=> -18 + 6i +3i -i²

=> -18 + 9i + 1

=> -17 + 9i

his one is not a whole number product.

Final expression,

(D) (-4 + 3i) (4 - 3i)

When we perform the multiplication on it, then we get,

=> -16 + 12i + 12i - (3i)²

=> -16 + 24i + 9

=> -7 + 24i

This one is also no the whole number product.

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Answer:

6 and hello there, how ya doing?

Step-by-step explanation:

Happy Birthday btw hopefully everything is working out for you and have a wonderful birthday.

Answer:

Happy Birthday!

Step-by-step explanation:

I consider myself nice but that might not be what others think.

(6)

Issa invested $2600 at a 4 percent interest rate and $3300 at a 10 percent interest rate.

Let's assume Issa invests x dollars at a 4 percent interest rate and y dollars at a 10 percent interest rate.

The equation that describes the total investment is:

x + y = 5900

The equation that describes the interest earned is:

0.04x + 0.1y = 434

To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.

From the first equation, we can express x in terms of y:

x = 5900 - y

Substituting this value of x into the second equation, we have:

0.04(5900 - y) + 0.1y = 434

Now, let's solve this equation to find the value of y:

0.04(5900 - y) + 0.1y = 434

236 - 0.04y + 0.1y = 434

0.06y = 198

y = 198 / 0.06

y = 3300

Now that we have the value of y, we can substitute it back into the first equation to find x:

x + 3300 = 5900

x = 5900 - 3300

x = 2600

Therefore, Issa invested $2600 at a 4 percent interest rate and $3300 at a 10 percent interest rate.

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From the graph, the suitable inequality is

Answer:

2(n+2-3)

Step-by-step explanation:

I hope this helps

See explanation below

Proportion simply means two ratios or two fractions are equal.

For example:

1/5 is proportional to 2/10

This is because when we break down 2/10 to the simplest term, we would have 1/5

In proportion, the difference between the two fractions that are equal to each other is that one fraction was multiplied by a constant number in both the nummerator and denominator.

using the example above:

Another example of proportion:

3/4 = 9/12

9/12 = 3(3)/3(4) = 3/4

Answer:

76ft^3

Step-by-step explanation:

Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3

Answer:

27 plates

Step-by-step explanation:

81 ÷3=27 chicken pieces

27 pieces of corn (one piece of corn per plate)

54÷2=27 two pieces of bread per plate

Answer:

distance from the flying object to

the ground

= 7.2 melo(unit of measurement)

Step-by-step explanation:

The distance between the robot and Jo is 5 melo( unit Of measurement)

Let the distance between the flying object and the ground= y

Let's the remaining length of the closest between robot and Jonny and the ground be x.

Y/(x+5)= tan 29.... equation 1

Y/x= tan 42.... equation 2

Equating the value of y

Tan 29(x+5) = tan42(x)

Tan29/tan 42 = x/(x+5)

0.61562(x+5)= x

3.0781= x- 0.61562x

3.0781= 0.38438x

3.0781/0.38438= x

8.008= x

8= x

Y/x= tan 42

Y/8= 0.9004

Y= 7.203

Y= 7.2 melo (unit of measurement )

Answer:

6x

Step-by-step explanation:

Answer:

The answer is 2x

The formula of the function, where x is entered in radians is   y = -3sin(πx/5) -6

The key components: amplitude, period, phase shift, and vertical shift.

Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.

Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9).  Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.

Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.

Hence:

The general form of the sinusoidal function is y = A sin (B(x-C)) + D

So, Substituting the known values into the general formula:

y = 3 x  sin((1/5)x - 0) - 6

Hence: Simplifying it will be:

y = 3 x sin(πx/5) - 6

Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6

Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.

Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).

Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.

Therefore the  formula for the function is  seen as:  y = -3·sin(πx/5) -6

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There isnt a picturee but when you add another question I will hep you the best I can :)

Answer: 4/13

Step-by-step explanation:

Number of cards in a deck = 52

Number of spades = 13

Number of aces = 4

Number of ace of spade = 1

Probability of either a spade or an ace :

P(spade or ace) = P(spade U ace)

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

Probability = required outcome / Total possible outcomes

P(spade) = 13 / 52

P(ace) = 4 / 52

P(spade n ace) = 1 / 52

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

= 13/52 + 4/52 - 1/52

= 16 / 52 = 4 /13

one person: 4 trees

5 people: 20 trees

x = number of people working

y= number of trees planted

So, each people plants 4 trees:

1 person =4 trees:

5 people 20 trees = 20/5 = 4 trees per person

Greta is correct, because:

4 = 4 x1 ( one person 4 trees)

and 20 = 4 x 5 ( 5 people 20 trees)

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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Answer:

you need to make it an actual problem

Answer:

500 million / 11,000 = 45,454.5455

Step-by-step explanation:

Answer:

There are 80 paperbacks on the shelf

Step-by-step explanation:

Multiply 2/3 by 120

So that would be:

2/3 x 120/1

(2 x 120)/(3x1)=240/3=80

Step-by-step explanation:

No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141

Step-by-step explanation:

We are given that Lena can knit 14 square inches of a blanket in hours

So, No. of square inches of knit per hour = 14

No. of hours spent in  knitting 14 square inch = 1

No. of hours spent in knitting 1 square inch = \frac{1}{14}141

So,  No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141