Analyze the zeros of f(x) = x* - 3x - 2x2 + 3x - 5.
Determine the integral intervals where the zeros are located.
A.-2& -1 and 2&3
C.-2& -1 and 3&4
B.0&1 and 1&2
D.-1 & 0 and 3&4


Please select the best answer from the choices provided

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Explanation:

Let,

\(A = \sqrt{14y^2 - 20y + 48}\\\\B = \sqrt{14y^2 - 20y - 15}\\\\\)

The first equation

\(\sqrt{14y^2 - 20y + 48} + \sqrt{14y^2 - 20y - 15} = 9\)

is in the form of

\(A+B = 9\)

The goal is to find the value of

\(\sqrt{14y^2 - 20y + 48} - \sqrt{14y^2 - 20y -15}\)

which is of the form \(A - B\)

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

Use the difference of squares rule to say the following:

\((A+B)(A-B) = A^2 - B^2\\\\(A+B)(A-B) = \left(\sqrt{14y^2 - 20y + 48}\right)^2 -\left(\sqrt{14y^2 - 20y - 15 }\right)^2\\\\(A+B)(A-B) = (14y^2 - 20y + 48) -(14y^2 - 20y - 15 )\\\\(A+B)(A-B) = 14y^2 - 20y + 48 -14y^2 + 20y + 15 \\\\(A+B)(A-B) = (14y^2 -14y^2) +(- 20y + 20y) + (48+15) \\\\(A+B)(A-B) = 63 \\\\\)

All of the y^2 and y terms cancel, leaving nothing but a single number.

The last thing to do is replace the A+B with 9, since A+B = 9 was mentioned earlier, and isolate A-B

Divide both sides by 9 to isolate A-B

\((A+B)(A-B) = 63 \\\\9(A-B) = 63 \\\\A-B = 63/9 \\\\A-B = 7 \\\\\sqrt{14y^2 - 20y + 48} - \sqrt{14y^2 - 20y - 15} = 7 \\\\\)

Therefore, 7 is the final answer.

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An alternative is to solve the first equation for y.

It's messy but doable. I'll skip steps, but you should get y = -4/7 and y = 2 as the two solutions.

If you plugged y = -4/7 into the second expression, then you should end up with 7. The same goes for plugging in y = 2. Only pick one of those values.

To solve the given problems, we need to train neural networks with different parameters and observe if they work or not.

We'll create tables to track the iterations and update the weights based on the learning rate and error calculations.

1) Train the AND gate network with 2 input neurons and 1 output neuron (Threshold = 0.5) with initial weights W31 = W32 = 0.1 and a learning rate c = 0.23.

We'll start by initializing the table:

I1 I2 T3 U3 X3 E3 W31 new W32 new

                                                    0.1 0.1

Now, we'll iterate through the training process and update the weights:

For each input combination (I1, I2), calculate the output (T3) using the current weights (W31, W32).

Compare the calculated output (T3) with the expected output (0 or 1) and calculate the error (E3 = T3 - X3).

Update the weights using the learning rate (c) and the error (E3).

Repeat these steps until the error becomes negligible or the network converges.

2) Train the same AND gate network, starting from the initial weights again, with a learning rate c = 2.3.

We'll create a new table and follow the same steps as in problem 1, updating the weights with the new learning rate.

3) Train the NOR gate network with 2 input neurons and 1 output neuron (Threshold = 0.5) with initial weights W31 = W32 = 0.1 and a learning rate c = 0.23.

We'll create a new table and repeat the process, this time training the NOR gate network. The steps are similar to problems 1 and 2, but the expected output for the NOR gate will differ.

By analyzing the convergence and behavior of the networks in each case, we can determine if they work or not.

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Answer:

E= 36 D=102 F=42

Step-by-step explanation:

E= 36 because of the vertical angles theorem, d =102 because of vertical angles theorem, and finally we have f = 42 because all these angles form a straight angle/line which adds up to 180. So before we knew that d=102 and e=36 so we can add those up and we get 138. Then we subtract 132 from the measure of a straight angle (180 degrees), to get f. SO 180-132 =f=42

The given statement "For a second-order homogeneous linear ordinary differential equation (ODE), an initial value problem (IVP) consists of an equation and two initial conditions" is True because  A second-order homogeneous linear ODE is an equation of the form ay''(t) + by'(t) + cy(t) = 0, where y(t) is the dependent variable, t is the independent variable, and a, b, and c are constants.

The equation is homogeneous because the right-hand side is zero, and it is linear because y(t), y'(t), and y''(t) are not multiplied or divided by each other or their higher powers. An IVP for this type of equation requires two initial conditions because the second-order ODE has two linearly independent solutions.

These initial conditions are typically given in the form y(t0) = y0 and y'(t0) = y1, where t0 is the initial time, and y0 and y1 are the initial values of y(t) and y'(t), respectively.

The two initial conditions are necessary to determine a unique solution to the second-order ODE. Without them, there would be an infinite number of possible solutions. By providing the initial conditions, you establish constraints on the solutions, which allow for a unique solution that satisfies both the ODE and the initial conditions.

In summary, an IVP for a second-order homogeneous linear ODE consists of an equation and two initial conditions, ensuring a unique solution to the problem.

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Answer:

The solution to the recurrence relation is given by an = 2^(n+1) - 1.

Step-by-step explanation:

(a) To solve the recurrence relation an = an-2 + 4, with initial conditions a1 = 3 and a2 = 5, we'll consider two cases: one for when n is even and one for when n is odd.

For n even:

Substituting n = 2k (where k is a positive integer) into the recurrence relation, we get:

a2k = a2k-2 + 4

Now let's write out a few terms to observe the pattern:

a2 = a0 + 4

a4 = a2 + 4

a6 = a4 + 4

...

We notice that a2k = a0 + 4k for even values of k.

Using the initial condition a2 = 5, we can find a0:

a2 = a0 + 4(1)

5 = a0 + 4

a0 = 1

Therefore, for even values of n, the solution is given by an = 1 + 4k.

For n odd:

Substituting n = 2k + 1 (where k is a non-negative integer) into the recurrence relation, we get:

a2k+1 = a2k-1 + 4

Again, let's write out a few terms to observe the pattern:

a3 = a1 + 4

a5 = a3 + 4

a7 = a5 + 4

...

We see that a2k+1 = a1 + 4k for odd values of k.

Using the initial condition a1 = 3, we find:

a3 = a1 + 4(1)

a3 = 3 + 4

a3 = 7

Therefore, for odd values of n, the solution is given by an = 3 + 4k.

(b) To solve the recurrence relation an = 2an-1 + 1, with initial condition a1 = 1, we'll find a general expression for an.

Let's write out a few terms to observe the pattern:

a2 = 2a1 + 1

a3 = 2a2 + 1

a4 = 2a3 + 1

...

We can see that each term is one more than twice the previous term.

By substituting repeatedly, we can express an in terms of a1:

an = 2(2(2(...2(a1) + 1)...)) + 1

= 2^n * a1 + (2^n - 1)

Using the initial condition a1 = 1, we have:

an = 2^n * 1 + (2^n - 1)

= 2^n + 2^n - 1

= 2 * 2^n - 1

Therefore, the solution to the recurrence relation is given by an = 2^(n+1) - 1.

In mathematics, a closed-formula is a mathematical expression that uses a finite number of standard operations. It may contain constants, variables, and operations etc.

A closed formula is an expression that can be computed by applying a fixed or finite number of standard opertions.

Example; Assume that the first term is a1(16 pts)

(a) 2,6,12,20,30,42,....

(b) 1,5,23,119,719,…

(c) 2,4,6,10,16,26,42,…

(d) 8,12,17,23,30,…

hence the closed formula will be a1=(1+1,1+5,1+11,1+29,1+24)

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11 is the distance between given two numbers.

To find the distance between 7 and -4,

we need to find the absolute value of the difference between them:

|7 - (-4)| = |7 + 4| = |11| = 11

Therefore, the distance between 7 and -4 is 11.

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Answer:

6

Step-by-step explanation:

Since the  x coordinate is the same, we only have to look at the y coordinate

3 - -3 = 3 +3 = 6

The distance is 6

Answer:

6

Step-by-step explanation:

Notice that x does not change.  We do go from y = -3 to y = 3, so the distance between these two y-values is 3 - (-3) = 6

Answer:

14/15

Step-by-step explanation:

9/15+5/15=14/15

3/5+1/3

common denominator is 15 ( just think about the 3 times table and 5 times table )

5*3=15

3*5=15

Multiply the denominator and numerator by 3 for 3/5

Multiply the denominator and numerator by 5 for 1/3

(3)(3)/(5)(3) +(1)(5)/3(5)

9/15+5/15= 14/15

Answer : 14/15

Answer:

y intercept -5, end behavior is the function approaches -6 on right, goes to negative infinity on left

Step-by-step explanation:

Answer:

x=5/3

Step-by-step explanation:

3x+2=7

3x=7-2

3x=5

divide

x=5/3

The equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π) is y = -2x + (2π + 2nπ sin(n) - π), where m = -2 - 2nπ sin(n) and b = 2π + 2nπ sin(n) - π.

To find the equation of the tangent line, we need to find the derivative of y with respect to x, and then evaluate it at the given point (π, -π) to find the slope of the tangent line. Then we can use the point-slope form of a line to find the equation of the tangent line in the form y = mx + b.

Taking the derivative of y with respect to x, we get:

dy/dx = 2cos(n) - 2n x sin(n)

Evaluating this derivative at x = π, we get:

dy/dx |x=π = 2cos(n) - 2n π sin(n)

Substituting x = π and y = -π into the original equation, we get:

-π = 2πcos(n)

cos(n) = -1/2

Since we want the equation of the tangent line at the point (π, -π), we can substitute x = π and y = -π into the point-slope form of a line:

y - (-π) = m(x - π)

Simplifying, we get:

y = m(x - π) - π

Substituting cos(n) = -1/2, we have:

dy/dx |x=π = 2cos(n) - 2n π sin(n) = -2 - 2nπ sin(n)

Setting this equal to the slope of the tangent line, we have:

m = -2 - 2nπ sin(n)

Substituting this value of m into the equation of the tangent line, we have:

y = (-2 - 2nπ sin(n))(x - π) - π

Therefore, the equation of the tangent line is:

y = -2x + (2π + 2nπ sin(n) - π)

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Complete question:

Find the equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π). The equation of this tangent line can be written in the form y = mx + b, where m and b are constants. Find the values of m and b.

Answer:

you have it correct sir

Step-by-step explanation:

Answer:

9(36x + 18y)

Step-by-step explanation:

\(20 - 4 \times 4 \div 2 + 3\)

15

ray4918 here to help

Answer:

14

Step-by-step explanation:

20-4×4÷2+2=14

you change the words into symbols

The probability of 1, 2, and 6 if rolling a cube with faces numbered 1 through 6 are 1/ 6, 1 / 6, and 1 / 6 respectively, and the sample space would be 6.

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

Rolling a cube with faces numbered 1 through 6.

Calculate the sample space as shown below,

Sample space = 1, 2, 3, 4, 5, 6 = 6,

Calculate the probability of 1 as shown below,

p(1) = 1 / 6

Calculate the probability of 2 as shown below,

p(2) = 1 / 6

Calculate the probability of 6 as shown below,

p(6) = 1 / 6

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slope = -1/2

y-intercept = (0, -1)

Given:

To find:

the slope and the y-intercept

To determine the slope we will use the linear function formula:

We need to rewrite the given equation in the form above so as to get the slope

From the above, m = -1/2

Hence, the slope is -1/2

The y-intercept is the value of y when x = 0

To get the y-intercept, we will substitute x with 0:

Answer:

41

Step-by-step explanation:

360-(104+104+111)=41

Answer:

Well on a number line it has a range and 0 will always be in the middle, on the left side are the negative numbers and the right sides are positive numbers. So you know it will be opposites because on the number line that numbers will be on opposite sides

-Hope this helps-

Ac<3

The length of AC using Sine rule is 126.54

The length of AC can be obtained using Sine rule , the length of AC in the triangle is b:

Angle A = 180 - (85 + 53) = 42°

substituting the values into the expression:

b/sinB = a/sinA

b/sin(85) = 85/sin(42)

cross multiply:

b * sin(42) = 85 * sin(85)

b = 126.54

Therefore, the length of AC is 126.54

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Answer: i think its d

Step-by-step explanation:

Answer: the answer is : you write a compound inequality for the amount of money she would spend, subtract the money she did spend and divide by the cost of what she has yet to buy she can buy between 1-7 shirt

Step-by-step explanation:

I took quiz

Answer:

536 cm is equal to 53.6 dm

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

The expected value (E(x)) of the random variable x is 1.4. It is calculated after multiplying each value by it's probability.

To find the expected value (E(x)) of a random variable, you need to multiply each possible value by its corresponding probability and then sum them up.

In the given probability distribution table, the possible values for the random variable x are 0, 1, 2, and 3. The corresponding probabilities are 0.2, 0.3, 0.4, and 0.1 respectively.

To find E(x), we multiply each value by its probability and sum them up:

E(x) = (0 * 0.2) + (1 * 0.3) + (2 * 0.4) + (3 * 0.1)
    = 0 + 0.3 + 0.8 + 0.3
    = 1.4

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Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Answer:

Since AABC and AEDC are congruent, their corresponding sides are equal. Therefore, AB = DE = 8, BC = DC = 5, and AC = ED.

So, DC = BC = 5.

give thanks, your welcome <3

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

∠ E = ∠ B , that is

5x = 50 ( divide both sides by 5 )

x = 10