splitting the middle term 2x^2-9x+4

y = -2.5x + 3.5 is the correct answer

Answer:

a = -3.

Step-by-step explanation:

5^a = 1/125

5^3 = 125

so 5^-3 = 1/125

Answer:

a = -3

Step-by-step explanation:

5^a = 1/125

Rewriting 1/125 as 1/5^3 = 5^-3

5^a = 5^-3

a = -3

\(-6y -31 =5\\\\\implies -6y = 5+31 = 36\\\\\implies y = -\dfrac{36}6 = -6\)

Step-by-step explanation:

...........y=-6.........

This statement is True. The Systems Development Life Cycle (SDLC) is a structured approach that outlines the stages involved in developing information systems and applications.

It is considered the traditional and widely accepted process for managing and guiding the development process.

The SDLC typically includes several key phases: requirements gathering and analysis, system design, development, testing, implementation, and maintenance.

Each phase has its specific objectives and deliverables, ensuring a systematic and controlled progression from conceptualization to the final product.

The SDLC provides a framework for project management, risk assessment, resource allocation, and quality control.

It emphasizes a structured and disciplined approach to ensure that information systems and applications meet the desired requirements, are thoroughly tested, and are implemented successfully.

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Answer: Quarter or 25%

Step-by-step explanation:

1/4 = 25%/ 100%

Or quarter

Answer:

1/4 is also called:

One Fourth

One quarter

One percent of Four

Answer:

x = 16

Step-by-step explanation:

(5x + 12)° + (6x - 8)° = 180°

(5x + 12 + 6x - 8)° = 180°

(11x + 4)° = 180°

11x + 4 = 180

11x = 180- 4

11x = 176

x = 176/11

x = 16

Answer:

48

Step-by-step explanation:

Answer:

Average of 3mph

Step-by-step explanation:

If Sarah goes uphill at 2mph and downhill at 4mph.

Then to find the average you can:

Add 2 plus 4

which equals 6

Then divide the sum of 6 by the number of values given, there are two values (2 and 4)

6 divided by 2 equals 3

So the average is 3mph

Answer:

(9, - 13.5 )

Step-by-step explanation:

Since the dilatation is centred at the origin then multiply the coordinates by the scale factor, then

R (6, - 9 ) → R' (1.5(6), 1.5(- 9) ) → R' (9, - 13.5 )

The equation of f(x) from the graph if, G(x) = x², is F(x) = 2x² + 3, so option A is correct.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

G(x) = x²,

As you can see from the graph, the vertex of the parabola is (0, 3),

Write the equation of a parabola as shown below,

y = a(x - 0)² + 3

y = ax² + 3

Here a is the slope of the parabola,

slope = 4 / 2  (from the graph),

slope = 2

Thus, the equation will be,

y = 2x² + 3 or  F(x) = 2x² + 3

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The transformation that will take parallelogram PQRS onto itself is (D) a 360° clockwise rotation about the center of the parallelogram.

A 360° rotation is equivalent to a full rotation, meaning that the parallelogram will end up in the same position as it started. Therefore, this transformation will take the parallelogram onto itself.

A reflection over the line y = -5 or x = -5 will not take the parallelogram onto itself, as it will result in a mirrored image of the original parallelogram. Similarly, a 180° rotation will result in the parallelogram being in a different position than it started.

Therefore, the correct answer is (D) a 360° clockwise rotation about the center of the parallelogram.

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To solve the equation 5 - 5 tan(x + 3) = -15 for x, we need to find the values of x that satisfy the equation within the given interval of 0 ≤ x < 2π. Using a calculator to approximate the solutions to the nearest hundredth, we find that the solutions are x ≈ 1.83, x ≈ 4.36, and x ≈ 6.89.

To solve the equation 5 - 5 tan(x + 3) = -15, we can begin by isolating the tangent term:

5 - 5 tan(x + 3) = -15

-5 tan(x + 3) = -20

tan(x + 3) = 4

Next, we can take the inverse tangent (arctan) of both sides to solve for x:

x + 3 = arctan(4)

Using a calculator, we find that arctan(4) ≈ 1.33 radians.

To obtain the solutions within the given interval 0 ≤ x < 2π, we can subtract 3 from the arctan(4) value and continue adding multiples of 2π until we reach a value greater than or equal to 0. This process yields the following solutions:

x ≈ 1.83, x ≈ 4.36, and x ≈ 6.89.

Therefore, the solutions to the equation 5 - 5 tan(x + 3) = -15, within the interval 0 ≤ x < 2π, are approximately x ≈ 1.83, x ≈ 4.36, and x ≈ 6.89.

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Answer:

g(x)=x+2

Step-by-step explanation:

took the test and found out the right answer.

Qualitative data depicts qualities or characteristics. This type of data is qualitative and nominal.

Qualitative data are the conceptual and descriptive findings gathered by surveys, interviews, or observation. We can explore concepts and provide more context for quantitative findings by analyzing qualitative data.

Qualitative data exist as measures of "types" and can be represented by a name, symbol, or number code, whereas quantitative data exist as information on numerical variables (such as how many, how much, or how frequently).

Numbers are used to expressing measures of values or counts in quantitative data. Binary, nominal, and ordinal are the three primary forms of qualitative data.

Qualitative data comes in a wide variety of forms, including those used in statistics, work, and research. This type of data is qualitative and nominal.

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To find the volume of a solid, we need to know its shape and dimensions. If the solid is composed of prisms, pyramids, and cones that are right, we can use the appropriate formulas to calculate their volumes. Once we have the volumes of each individual shape, we can add them together to find the total volume of the solid.

It's important to note that when rounding the answer to two decimal places, we should look at the third decimal place and round up if it is 5 or higher. For example, if the calculated volume is 12.345, rounding to two decimal places would give us 12.35.

In summary, to find the volume of a solid composed of right prisms, pyramids, and cones, we use the appropriate formulas for each shape and add the volumes together. We then round the final answer to two decimal places, rounding up if necessary.  

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The domain of the function f is {a, 6, c, d}, and the range of the function f is {2, 3, 4, 5}. The function f(b) is not defined because b is not in the domain of the function. However, f(d) is 5.

In this case, the domain of the function f is determined by the elements in the set A, which are {a, b, c, d}. In this case, the range of the function f is determined by the second elements in each ordered pair of the function f, which are {2, 3, 4, 5}.

Since the element b is not included in the domain of the function f, f(b) is not defined. It means there is no corresponding output value for the input b in the function f.

However, the element d is in the domain of the function f, and its corresponding output value is 5. Therefore, f(d) is equal to 5.

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Answer:

35

Step-by-step explanation:

x + 10 = 45

x = 35

Answer:

x=35

Step-by-step explanation:

Opposite sides are equal so angle MNL is equal to JNK.

THerefore, JNK is 45 degrees.

So, x+10=45. We can simplify this to x=35.

Hope that helps!

Ron will have to attend 7 weeks of school this quarter before he will have taken a total of 10 quizzes.

The given equation q = w + 3 represents the relationship between the total number of quizzes Ron has ever taken (q) and the number of weeks he has attended school this quarter (w). According to the equation, for each week Ron attends school, he takes one additional quiz.

To find the number of weeks of school Ron needs to attend before he will have taken a total of 10 quizzes, we can substitute the value of q (10) into the equation and solve for w.

10 = w + 3

Subtracting 3 from both sides of the equation, we have:

w = 10 - 3

w = 7

Therefore, Ron will have to attend 7 weeks of school this quarter before he will have taken a total of 10 quizzes.

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The centroid of the region bounded by the given curves is approximately located at (1.379, 2.897).

To find the centroid, we need to calculate the average x-coordinate and the average y-coordinate of the given points. The x-coordinate of the centroid is obtained by averaging the x-coordinates of the points (0, 4), (0, 1.68), (1.68, 1.098), and (1.098, 1.68). Adding up the x-coordinates and dividing by 4 gives us x-bar ≈ (0 + 0 + 1.68 + 1.098) / 4 ≈ 1.379.

Similarly, the y-coordinate of the centroid is obtained by averaging the y-coordinates of the points. Adding up the y-coordinates and dividing by 4 gives us y-bar ≈ (4 + 1.68 + 1.098 + 1.68) / 4 ≈ 2.897.

Therefore, the centroid of the region bounded by the given curves is approximately located at (1.379, 2.897).

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Answer:

\(\sqrt{484} =22\)

Step-by-step explanation:

The percentage of sick individuals who test positive for the flu will be 75%. The correct option is C.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that:-

A tree diagram shows sick individuals branching off into two categories, have the flu and do not have the flu, which is labelled 25%. Have the flu branch off into two sub-categories, test positive, which is labelled 95%, and test negative. Do not have the flu branch off into two subcategories, test positive and test negative, which is labelled 92%.

The percentage of sick individuals who test positive for the flu will be:-

Positive = 0.75 x 0.95 = 0.7125

Positive = 0.25 x 0.08 = 0.02

Total = 0.7325 or 0.7325 x 100 = 73.25% or 75%

Hence, the percentage of sick individuals who test positive will be 75%.

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The vertical velocity of the string at the origin at time t would be zero, as the origin is a fixed point.

The origin is a fixed point, so it does not move. This means that the vertical velocity of the string at the origin at time t would be zero.

The origin of the string is a fixed point, meaning that it does not move. This implies that the vertical velocity of the string at the origin at time t would be zero, as the origin does not move or change its position. Since the origin is a fixed point, the vertical velocity of the string at the origin at time t would remain constant, and would be equal to zero. Thus, the vertical velocity of the string at the origin at time t would be zero.

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Answer:

13n is greater than or equal to -21n

Let the unknown number be x;

Two more than the number is expressed as x + 2

Twice of that number is expressed as 2x

Now, if two more than a number is less than twice that number, we can express that as;

Hence the correct inequality that represents the sentence is;

⇒\(T_{n} =a+(n-1)d\) is the formula to find the general term of the arithmetic sequence.

⇒Note to find the second term we will plug in 2 in the place of n in the formular and simplify.

⇒\(T_{2} =a+(2-1)d\\T_{2} =a+(1)d\\T_{2} =a+d\)

⇒It is given that the second term is 7 meaning in the place of \(T_{2}\) in the equation above since we do not know the value of a and d we will plug in  7 and have the equation \(7=a+d\) as our first equation.

⇒ For the fourth term \(T_{4}\) we follow the same step of using the general formula to find the nth term by plugging in 4 in the place of n and and simplify

\(T_{4} =a+(4-1)d\\T_{4}=a+(3)d\\T_{4}=a+3d\)

In the place of \(T_{4}\) plug in 1 for the fourth term is equal to 1 to have the second equation

\(1=a+3d\)

Note we can now use the two equations we have now to find the value of a which is the first term and d which is the difference.

7=a+d......1st equation

1=a+3d...2nd equation

∴from the first equation by making a the subject of the equation we get

a=7-d

from the second equation making a the subject of the equation we get a=1-3d

Now let us equate first equation and the second equation since they are both equal to a and solve for d.

\(7-d=1-3d\\-d+3d=1-7\\2d=-6\\\frac{2d}{2} =\frac{-6}{2} \\d=-3\)

⇒Now you can see that we have the difference of the arithmetic sequence equal to -3

⇒To find the value of a you can use any of the equations from the ones we created . I will use the equation a=7-d

\(d=-3\\a=7-d\\a=7-(-3)\\a=7+3\\a=10\)

⇒ to get the 15th term we will go back to the general formula of finding the nth term in the place if n we will plug in 15 and simplify the formula

\(T_{15} =a+(15-1)d\\T_{15}=a+(14)d\\T_{15}=a+14d\\\)

⇒Now we find that the 15th term is equal to a plus 14(d)

⇒Note we already have the value of a and we can just plug them in to find the value of the 15th term and simplify.

\(a=10,d=-3\\T_{15}=a+14d\\\\T_{15}=10+14(-3)\\T_{15}=10-42\\T_{15}=-32\)

⇒The 15th term is -32

Answer:

528cm³

Explanation:

The shape is a square pyramid, so we must use the equation of it, which is 1/3Bh.

In order to find B, base, you need to multiply the Length and Width of the Square, in this case, 12×12=144cm

The height of the shape is 11cm, as the picture states.

Then put the values into the equation and multiply to solve.

(1/3)(144)(11) = 528cm³

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer: since the distance between f and g is 20 units and is then reduced to 4 units long, it's scale factor would be 0.2

Step-by-step explanation:

Sorry if you get this wrong, i tried really hard on this and watched a video

Answer:

it is a concave octagon

Step-by-step explanation:

A convex octagon has no angles pointing inward so in other words, the angles cant be acute. A concave octagon has angles pointing inward therefor it is a concave octagon.

Given that a randomly selected card is black, there is a 50% chance that it's a club. Thus, option a is correct.

In a standard 52-card deck, there are 26 black cards including 13 clubs. All clubs are black, therefore there are 13 black clubs. What is the probability that a randomly selected card is a club given that it is a black card? Given that a randomly selected card is black, there is a 50% chance that it's a club.

For example, The probability of drawing a club is 13/52. The probability of drawing a face card is 12/52.

We need to find the probability that it is a spade given that a black card is taken. Therefore, there is 50% chance that the card will be of black spade.

P(getting a black king) ` = 2/52 = 1/26.

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Complete question:

What is the probability of picking the following cards from the deck? Write your response as a fraction, as a decimal, and as a percent. a. P(black)? b. P(club)? c. If you drew a card from the deck and then replaced it, and if you repeated this 100 times, about how many times would you expect to draw a face card (king, queen, or jack)? Explain your reasoning.