Find the x- and y-intercepts. If no x-intercepts exist, sta 11) f(x) = x2 - 14x + 49 A) (7,), (0, 49) B) (49,0), (0, -7) Solve.

Answer:

The last one. (y = 4x + 4)

Step-by-step explanation:

Replace x, y of the two points to the equations and the one that matches both of them is the correct answer.

Answer:

y=4x+4

Step-by-step explanation:

The 4x part of the answer is the slope. Slope is found with the formula presented:

y2 - y1 / x2 - x1 = Slope

Your equation based on the coordinates given, would be:

4-(-4) / 0-(-2) = 8/2 or 4

the positive 4 on the end of the eqution would be the y-intercept.

y intercept is simple. It is the point on the y axis that the line passes through. Yours is passing through +4.

Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Total area of parknand path way = 74,464 m2.

Dimension of park = 350m by 200m

Using the area of rectangle formula:

Area = Length * width

Area of park = 350m * 200m

Area of park = 70,000

Area of path = (74,464 - 70,000) = 4,464m2

Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m

2.) the path of the park seems a bit narrow, hence, I wouldn't love children to bike and jog in such a narrow path

Answer:

P=8h

Step-by-step explanation:

P is the total amount of dollars that Keith will make, while h is the number of hours he will work for. If you multiply the number of hours he works for and how much he makes in an hour which is 8. You will get the total amount.

Answer: The picture contains the answer and the steps

It is not clear what solutions you are referring to. However, the equation 5x^2 - 4x - 18 = 20 is a quadratic equation.

To solve this equation, we need to get all the terms on one side and set them equal to zero:

5x^2 - 4x - 38 = 0

We can then use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

Where a = 5, b = -4, and c = -38.

When we plug in these values, we get:

x = (-(-4) ± sqrt((-4)^2 - 4(5)(-38))) / 2(5)

x = (4 ± sqrt(736)) / 10

x ≈ 2.96 or x ≈ -2.56

Neither of these solutions make 5x^2 - 4x - 18 equal exactly 20.

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Answer:

Step-by-step explanation:

\((2x)^{2} +12.6^{2} =21^{2} \\\\4x^{2} +158.76=441\\\\4x^{2}441-158.76\\\\4x^{2} =282.24\\\\x^{2} =70.56\\\\x=8.4\)

hope it helps....

have a great day :)

As per the concept of standard deviation, the probability of a defect is 0.6346 or 63.46%.

Using a z-score table or a calculator, we can find that the z-score corresponding to the lower limit of the acceptable range is -1, and the z-score corresponding to the upper limit of the acceptable range is 1.

Next, we need to find the area under the normal distribution curve outside of the acceptable range. This can be done by subtracting the area under the curve between the lower and upper limits from 1 (since the total area under the curve is 1).

Using a calculator or a standard normal distribution table, we can find that the area under the curve between -1 and 1 is approximately 0.6827. Therefore, the area outside of the acceptable range is 1 - 0.6827 = 0.3173.

Finally, we can convert this area to a probability by multiplying by 2 (since we are interested in the probability of units with weights less than or greater than ounces) to get 2 x 0.3173 = 0.6346 or 63.46%.

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Answer:

20.0

Step-by-step explanation:

We can use the distance formula, d = \(\sqrt{(x_{1}-x_{2}) ^{2} +(y_{1}-y_{2}) ^{2}}\)  to find the length of three sides separately.

AB =  \(\sqrt{(-4+2) ^{2} +(1-3}) ^{2}}\) = \(\sqrt{8}\)

BC =  \(\sqrt{(-2-3) ^{2} +(3+4) ^{2}}\) = \(\sqrt{74}\)

CA =  \(\sqrt{(3+4) ^{2} +(-4-1) ^{2}}\) = \(\sqrt{74}\)

Perimeter = \(\sqrt{74}\) + \(\sqrt{8}\) + \(\sqrt{74}\) = 20.0330776588 units

Answer:

Step-by-step explanation:

Answer:

The slope is 0

Answer:

0

Step-by-step explanation:

In this, the x value is the only one changing, not the y ones. So, if the x values change, and the y values don't, you get a horizontal line. A horizontal line has a slope of zero.

Hope I helped!!!!

The solution of the system of equations is (2, 1).

Here we have the system of equations:

y = 2x - 3

y = -x + 3

To solve the system of equations graphically, we need to graph both of these lines in the same coordinate axis and then find the point where the lines intersect.

That point will be the solution of the system.

On the image at the end you can see the graph of the system of equations, there we can see that the solution is (2, 1).

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To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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Answer:

a. 50 degrees

b. 130 degrees

c. 180 degrees

d. 230 degrees

a. 50°

b. 130°

c. 180°

d. 230°

geometry, the department of mathematics deals with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.

various shapes in geometry have different angle measures. as an example: A triangle is a 3-sided shape and the sum of its 3 interior angles is 180˚ A square, rectangle or quadrilateral are 4-sided shapes, and the sum of their four interior angles is 360˚

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The triangles GHJ and IHJ are congruent based on side-angle-side congruency.

The triangles UVW and XYZ are congruent based on side-side-side congruency.

A triangle is a polygon that has three angles and three sides. Types of triangles are scalene, equilateral, isosceles, right angled.

Two triangles are said to be congruent if all the three sides and angles of one triangle is congruent to that of another triangle. Therefore their corresponding sides and angles are equal.

1) The triangles GHJ and IHJ are congruent based on side-angle-side congruency.

2) The triangles UVW and XYZ are congruent based on side-side-side congruency.

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Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

Answer:

y = 1/4 x - 1/2

Step-by-step explanation:

Remark

The general equation for a line is y = mx + b

You know that m = 1/4. The problem is what do you do about (2,0)?

Solution

y = 1/4 x + b                  Let x = 2 when y = 0

0 = 1/4 * 2 + b               multiply 2 * 1/4

0 = 1/2 + b                     Subtract 1/2 from both sides

b = - 1/2

equation y = 1/4 x - 1/2

Graph

Answer:

I believe the answer is

\(y = \frac{2}{3} x + 1\)

slope = 2/3x

y-intercept = 1

Step-by-step explanation:

Hope this helps!

Answer:

IM and JM

Step-by-step explanation:

They both have congruency marks that correspond to each other, indicated by the three short lines in the middle of each.

Answer:

C

Step-by-step explanation:

The function C has a range of (-infinity, a] and domain [b, infinity)

Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a mean of 450 seconds

and a standard deviation of 50 seconds.

Suppose there are 97 emergencies in that town.

In about how many emergencies are the response times expected between 400 seconds and 500 seconds?

For 400 sec

z=[(400-450)/50]=-1

For 500 sec

z=(500-450)/50=1

using a z-score calculator

P=0.68269

multiply the probability by the number of emergencies

0.68269*97=65.96

therefore

Answer:

1/4+1/32

Step-by-step explanation:

1/4+1/4=1/2

1/32+1/32=1/16

I hope this helps:

The researcher in question is using a cross-sectional research method.

This method involves selecting a sample of individuals from a population and studying them at one point in time, usually in a single session. The purpose of the research is to gather information about the relationships between variables and to describe the population characteristics.

One of the primary advantages of the cross-sectional method is its efficiency. Researchers can gather a large amount of data in a relatively short amount of time, which can be helpful for studying large populations or for answering research questions that are time-sensitive.

However, there are also limitations to the cross-sectional method. For example, because it only captures data from one point in time, it cannot be used to study how variables change over time. Additionally, cross-sectional research cannot establish causality, as the data only shows correlations between variables, not their causal relationships.

Overall, the cross-sectional method is useful for gathering information about a population's characteristics and relationships between variables, but it should be used in conjunction with other research methods to gain a more comprehensive understanding of a phenomenon.

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The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Answer:

x = 44/7

Step-by-step explanation:

7x+3 = 47

Subtract 3 from each side

7x+3-3 = 47-3

7x = 44

Divide by 7

7x/7 = 44/7

x = 44/7

Answer:

The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1

Proved: This product shows that the slopes are negative reciprocals

Question:

The complete question as seen on brainly ( question ID = 13270010):

Determine the missing information in the paragraph proof.

Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).

Prove: The slopes of perpendicular lines are negative reciprocals.

The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction

The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.

Step-by-step explanation:

Line PQ contains the points (a, b) and (c, d)

Line P’Q’ contains the points (–b, a) and (–d, c)

The two lines are said to be perpendicular.

For two lines are said to be perpendicular, the product of the slope of the two lines must be equal to -1.

Let's determine if it's true for this two lines.

Find attached the the diagram and explanations.

The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1

This product shows that the slopes are negative reciprocals

Answer:5

Step-by-step explanation:

Answer:

15/32

Step-by-step explanation:

First convert 1 1/3 to improper fraction:

  1 1/3 = 4/3

5/8 divided by 4/3 is same as...

  \(\frac{5}{8} * \frac{3}{4} = \frac{15}{32}\)

Answer:

Part 1:

4. The slope is -4.

5. The slope is 17/4.

6. The slope is -2/3.

Part 2:

4. y = -4x - 11

y-intercept is (-11/4, 0)

5. y = 17/4x - 12

6. y = -2/3x + 4/3

Step-by-step explanation:

Answer:

answer is x=-1/10 is the answer

Answer:

105

Step-by-step explanation:

7x15=105

Answer: 35

Step-by-step explanation:

If you multiply 5X7 it gives you 35 if 3lbs cost 15 that means every lb cost 5 , or you can add 5 +5 till you get 35

The average speed of the car is 40 km/hr.

It would take a car 3 hours to cover 120 km at a speed of 40 km/h.

The car moves for a time period of 3 hours.

The car has to travel a total distance of 120 km.

As we know the formula of speed is distance/time,

Hence, s = d/t km/hr

Let speed, distance and time be s, d, t respectively.

So by putting the values,

speed s = d/t = 120/3 = 40 km/hr.

Hence it can be said that the car would cover 120 km at the speed of 40 km/hr in 3 hours.

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