What is the x intercept

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The derived quadratic function is y = \((x+5)^2\) + 3.

A quadratic function is a mathematical function of the form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable. It is a second-degree polynomial function that creates a parabolic curve when graphed. The term ax²  is the quadratic term, bx is the linear term, and c is the constant term.

The quadratic function with a vertex at (h,k) and a point (x,y) on the parabola can be written in the form of y = a(x-h)² + k. Using the given values, we have:

(h,k) = (-5, 3)

(x,y) = (2, 9)

Substituting these values in the equation, we get:

9 = a\((2 - (-5))^2\) + 3

Simplifying this equation, we get:

6a = 6

a = 1

Therefore, the quadratic function is:

y = \((x+5)^2\) + 3

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The statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.

Market value is the current price of a product, company, or something consorting to the stock of the market.

It is the price which is required to buy something in the current market.

Bonds issued by Animite Energy are selling at a rate of 95.230.  This is the bond percentage of the Animite energy in the market. This means if someone wants to buy 95.230 of this company's bond, then he get $100.

Now for the 1000 bonds, the amount required is,

\(C=95.230\times10\\C=952.30\)

Hence, for the 1000 bonds, the amount required is 952.30. Therefore, the discount will be,

\(d=1000-952.30\\d=47.70\)

Hence, the statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.

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Answer:c

Step-by-step explanation:

Answer:

The width is 16 cm

Step-by-step explanation:

The perimeter of a rectangle=28 cm

length=8cm

width=?

P=28

=L+W

=8+8=16

=6+6=12

=16+12

=28 cm

Therefore, the width is 6+6=16 cm

Hope it helps you!!

Answer: 12

Step-by-step explanation: the length is 8 cm so, times that by 2 because there are 2 lengths which makes it 16cm. Now you subtract 16 from the 28cm which is 12cm divide this by 2 because there are two widths this equals 6 cm

Therefore; our width is 6 cm

To check if this is right you can add all the values= 8+8+6+6= 28cm

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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To find a parametrization of the portion of the plane x y z=8 that is contained inside the given cylinders, we need to first find the equations of the cylinders.

a. The equation of the cylinder x2 y2=25 can be written as x2=25-y2. Substituting this into the equation of the plane, we get:

(25-y2)y z = 8

We can now solve for y and z in terms of a parameter t:

y = 5 cos(t), z = 8/(5 cos(t))

Substituting these values back into the equation of the cylinder, we get:

x = ±5 sin(t)

So a possible parametrization of the portion of the plane inside the cylinder x2 y2=25 is:

x = ±5 sin(t), y = 5 cos(t), z = 8/(5 cos(t))

b. The equation of the cylinder y2 z2=25 can be written as z2=25-y2. Substituting this into the equation of the plane, we get:

x y (25-y2) = 8

We can now solve for x and y in terms of a parameter t:

x = 8/(y (25-y2)), y = 5 sin(t)

Substituting these values back into the equation of the cylinder, we get:

z = ±5 cos(t)

So a possible parametrization of the portion of the plane inside the cylinder y2 z2=25 is:

x = 8/(5 sin(t) (25-25 sin2(t))), y = 5 sin(t), z = ±5 cos(t)

In both cases, provided a parametrization of the given portion of the plane.

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Answer:

x²-9x+14

Step-by-step explanation:

So the roots are 2,7

So the equation is

(x-2)(x-7)

=x²-2x-7x+14

=x²-9x+14

The speed of the faster cyclist is 14\ miles/hr.

What is speed?

It is the average distance coverd in unit time. It is also defined as the rate of change of distance with respect to time.

Since the speed of the first cyclist is double than the second cyclist hence, the first cyclist will cover the double distance than the second cyclist. Consider the first cyclist covers 2s distance and first cyclist covers s distance. The sum of these two distances should be 42 miles. Hence,

\(2s+s=42\\3s=42\\s=14\)

Now, distance coverd by the first cyclist is \(2s=2\times 14\\=28 \ $miles\).

Now, both the cyclists meet after 2 hr hence, time taken by the first cyclist is 2 hr.

\(Speed=\frac{Total\ distance}{Total\ time}\\=28\ miles/2 \ hr\\=14\ miles/hr\)

Hence, the speed of the faster cyclist is 14\ miles/hr.

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Answer:

hii :D the answer is C.) on edge :) tootles!

Step-by-step explanation:

The leading to conflict does not involved the feeling where the sally shares the betty concerned.

It is the conflict that represents the struggle also there is the interest of clash or opinion or the principles. It should be begins when the two parties are not agreed with each other. The example of conflicts should be ignoring, feel that the other person should be wrong, etc.

Therefore, The leading to conflict does not involved the feeling where the sally shares the betty concerned.

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Answer:

It is tomato plant

Step-by-step explanation:

- The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. - - - The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

\((\stackrel{x_1}{8}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{8}) \\\\\\ y-1=-\cfrac{1}{2}x+4\implies y=-\cfrac{1}{2}x+5\)

Angela will have cell phone service from tower 1 only.

To determine whether Angela will have cell phone service at her friend's house, we need to check if her friend's house falls within the range of either tower's signal.

Angela's friend's house is located 4 miles east and 8 miles north of her house. We can represent the coordinates of her friend's house as (4, 8).

By substituting these coordinates into the inequality for tower 1 [(x + 5)^2 + (y + 2)^2 ≤ 144], we can determine if her friend's house falls within the range of tower 1.

(4 + 5)^2 + (8 + 2)^2 ≤ 144

9^2 + 10^2 ≤ 144

81 + 100 ≤ 144

181 ≤ 144 (false)

Since the inequality is false, it means that Angela's friend's house is outside the range of tower 1. Therefore, Angela will not have cell phone service at her friend's house.

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Answer:

NOT B

Step-by-step explanation:

Had to risk but got it wrong

In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.

However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.

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Complete question is;

In a survey of 565 U.S. businesses, 430 of these companies indicated that they monitor employees' web site visits. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of businesses in the United States.

Is there sufficient evidence to conclude that more than 75% of U.S. businesses monitor employees' web site visits? Test the appropriate hypotheses using a significance level of 0.01. (Round your test statistic to two decimal places and your P-value to four decimal places.)

Answer:

There's not sufficient evidence to suggest that more than 75%  of U.S. businesses monitor employees website visits.

Step-by-step explanation:

Population proportion; p^ = 430/565 = 0.761

Sample proportion; p = 75% = 0.75

Significance level; α = 0.01

Sample size; n = 560

Let's define the hypotheses;

Null hypothesis; H0: p = 0.75

Alternative hypothesis: p > 0.75

Formula for the test statistic is;

z = (p^ - p)/√[p^(1 - p^)/n]

z = (0.75 - 0.761)/√(0.75(1 - 0.75)/560)

z = -0.011/√0.00033482143

z = -0.011/0.0183

z = -0.60

From online p-value from z-score calculator attached, using; z = -0.60, significance level = 0.01, one tailed hypothesis, we have;

P-value ≈ 0.2743

The p-value is greater than the significance level and so we will fail to reject the null hypothesis and conclude that there's not sufficient evidence to suggest that more than 75%  of U.S. businesses monitor employees website visits.

Approximately 25.746 grams of KMnO4 are needed to carry out the reaction on 35.76 grams of KNO2.

To determine the amount of KMnO4 needed to carry out a reaction on 35.76 grams of KNO2, we need to balance the chemical equation and use stoichiometry.

The balanced equation for the reaction between KMnO4 and KNO2 is:

2 KMnO4 + 5 KNO2 + 3 H2SO4 -> K2SO4 + 2 MnSO4 + 5 NO2 + 3 H2O

From the balanced equation, we can see that the molar ratio between KMnO4 and KNO2 is 2:5.

First, calculate the molar mass of KNO2:

KNO2 = 39.1 g/mol (molar mass of K) + 14.0 g/mol (molar mass of N) + 16.0 g/mol (molar mass of O)

= 69.1 g/mol

Next, calculate the number of moles of KNO2:

moles of KNO2 = mass of KNO2 / molar mass of KNO2

= 35.76 g / 69.1 g/mol

= 0.5175 mol

Using the mole ratio from the balanced equation, we can determine the moles of KMnO4 needed:

moles of KMnO4 = (moles of KNO2) x (2 mol KMnO4 / 5 mol KNO2)

= 0.5175 mol x (2/5)

= 0.207 mol

Finally, calculate the mass of KMnO4:

mass of KMnO4 = moles of KMnO4 x molar mass of KMnO4

= 0.207 mol x (39.1 g/mol + 54.9 g/mol + 16.0 g/mol x 4)

= 25.746 g

Therefore, approximately 25.746 grams of KMnO4 are needed to carry out the reaction on 35.76 grams of KNO2.

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Answer:

Step-by-step explanation:

commision the end of the year is;

7

------- × 412454

100

= $28871.78

bonus is ;

5

--------- × 28871.78

100

= 1443.589

total pay is 1443.589 + 28871.78

= $30315.369.

(b)

5

----------- × 316250

100

= $15812.5

total pay is = 15812.5 + 316250

= $332062.5

Answer:

C is the answer just cause

The value of x in the similar triangles is 11.4.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

Therefore,

ΔACB ~ ΔEFD

Hence,

AC / EF = CB / FD = AB / ED

Therefore, let's find x

x = AB

ED = 3.8

BC = 15

FD = 5

x / 3.8 = 15 / 5

cross multiply

5x = 15 × 3.8

5x = 57

divide both sides of the equation by 5

x = 57 / 5

x = 11.4

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Answer:

x = 1

Step-by-step explanation:

1 + 24x + 105 + 51x - 1 = 180

75x = 75

x = 1

To solve the equation we first squared both sides of it, that is:

Now we can use the general formula for quadratic equations, then:

Now that we found two option for x, we have to check which of them is really a solution for the original equation (we have to do this since we squared the original equation to get rid of the root), to do this we plug the values we found to see if the eqaution holds.

If x=1:

hence x=1 is a solution for the original equation.

If x=-2:

since this is not true, x=-2 is not a solution for the original equation.

Therefore, the solution for the equation is x=1.

Answer: x=8in.

Step-by-step explanation: Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.

Answer:

x = 3

Step-by-step explanation:

there are 4 right triangles inside the quadrilateral

area of 4 triangles

= 4 × \(\frac{1}{2}\) bh ( b is the base and h the height )

= 4 × \(\frac{1}{2}\) × 8 × x

= 2 × 8x

= 16x , then

16x = 48 ( divide both sides by 16 )

x = 3

Answer:

according to me

Step-by-step explanation:

yes u r correct

;]

Answer:

Option (B)

Step-by-step explanation:

From the graph attached,

If the parent function 'f' is shifted 4 units to the right,

g(x) = f(x- 4)

By shifting the parent function right vertical asymptote will come to x = 5 from x = 1.

Vertical asymptote y = 2 will remain same for the shifted function.

Therefore, function g(x) will have the asymptotes;

Vertical asypmtote: x = 5

Horizontal asymptote; y = 2

Therefore, Option (B) will be the correct option.

Answer: look at image

Step-by-step explanation:

The total number of acres planted for the optimal solution is not provided in the given information.

The amount of fertilizer (in tons) required to produce only corn is not provided in the given information.

The peak number of acres of wheat planted as fertilizer availability varies from 200 tons to 2200 tons in 100-ton increments cannot be determined without additional information.

I can help explain the general approach to answering the questions you mentioned.

To determine the total number of acres planted for the optimal solution, you would need to refer to the problem's constraints and objective function. The optimal solution would be obtained by solving the problem using linear programming techniques such as the simplex method or graphical method. By solving the problem, you can identify the values of the decision variables (such as acres planted) that maximize or minimize the objective function while satisfying the given constraints. The total number of acres planted for the optimal solution would depend on the specific problem setup and the solution obtained.

Similarly, to find out how much fertilizer would be needed to produce only corn, you would need to refer to the constraints and objective function of the problem. The specific requirements and coefficients associated with the corn production and fertilizer usage would determine the amount of fertilizer needed. By solving the problem, you can obtain the value of the decision variable representing fertilizer usage, which would indicate the required amount of fertilizer in tons.

SolverTable is a tool in Excel that allows you to perform sensitivity analysis by varying certain input values and observing the impact on the output. By using SolverTable, you can analyze the relationship between fertilizer availability (input) and acres planted (output) in the given problem. By varying the fertilizer availability from 200 tons to 2200 tons in 100-ton increments, you can observe how the acres of wheat planted change accordingly. The peak number of acres of wheat planted would be the maximum value observed during this range of fertilizer availability.

Since I don't have access to the specific problem you mentioned, I cannot provide precise answers or calculations. Please refer to the problem in your textbook or reference material to obtain the exact values and final answers.

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