Question 4 of 21
The graphs below have the same shape. The equation of the blue graph is f(x)
= 2. Which of these is the equation of the red graph, g(x)?
g(x) = ?
V
f(x)=x²
O A g(x)=x²-5
OB. g(x)=(x-5)²
O C. g(x)=x+5
OD. g(x) = (x+ 5)²

Answer:

y = \(\frac{4}{3}\) x + \(\frac{29}{3}\)

Step-by-step explanation:

assuming you require the equation of the perpendicular line.

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \(\frac{3}{4}\) x - 3 ← is in slope- intercept form

with slope m = - \(\frac{3}{4}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{3}{4} }\) = \(\frac{4}{3}\) , then

y = \(\frac{4}{3}\) x + c ← is the partial equation

to find c substitute (- 2, 7 ) into the partial equation

7 = - \(\frac{8}{3}\) + c ⇒ c = 7 + \(\frac{8}{3}\) = \(\frac{21}{3}\) + \(\frac{8}{3}\) = \(\frac{29}{3}\)

y = \(\frac{4}{3}\) x + \(\frac{29}{3}\) ← equation of perpendicular line

The equation of the line is y = (4x +29)/3

The line y = -3/4x - 3 has a slope of -3/4.  A line perpendicular to -3/4 has a slope of 4/3. So the slope of our new line will be 4/3.

We are told that the line goes through the point (-2, 7).  That is x = -2 and y = 7.  Now that we know a point and a slope, we can use the formula:

y2 - y1 = m(x2 - x1)

where,

x1 = -2

y1 = 7

m = 4/3 [slope]

Substituting in the formula,

y2 - 7 = 4/3(x2 - (-2))

y2 - 7 = 4/3*x2 + 4/3*2

3(y2 - 7) = 4(x2) + 8    

3y2 - 21 = 4(x2) +8

3y2 = 4(x2) + 8 +21

3y2 = 4(x2) +29

y2 = (4(x2) +29)/3          

Therefore, the equation of the line is y = (4x +29)/3

To know more about the equation of the line, please refer to the link below:

brainly.com/question/14200719

The completer question is

'Find the equation of the line that is perpendicular to y = -3/4x - 3 and passes through the points (-2,7).'

There are at least two group means that are significantly different from one another, according to the alternative hypothesis (H a). The alternative hypothesis is adopted if the outcome is statistically significant.

You can use ANOVA to determine whether differences between data sets are statistically significant. It functions by examining the levels of variance present within each group using samples drawn from each.

The likelihood that the mean of a sample taken from the data will be different owing to chance increases if there is a lot of variance (spread of data away from the mean) among the data groups.

In addition to examining the variance within the data groups, ANOVA also considers sample size (the smaller the sample, the lower the likelihood that outliers will be randomly selected from it) and sample mean differences (the greater the difference between the sample means, the greater the likelihood that an outlier will be randomly selected from it).

hence, The alternative hypothesis is adopted if the outcome is statistically significant.

learn more about anova test click here:

https://brainly.com/question/25800044

#SPJ4

Answer:

I'm pretty sure your answer would be B

Step-by-step explanation:

The teacher wants answers from all the students but it would take to long to ask every single person so it would only make sense to ask every boy in each grade

Answer:

1. How to Solve using Algebra

Make both equations into "y =" format.

Set them equal to each other.

Simplify into "= 0" format (like a standard Quadratic Equation)

Solve the Quadratic Equation!

Use the linear equation to calculate matching "y" values, so we get (x,y) points as answers.

Algebraic method is more easy to do

2. linear functions have constant first differences. quadratic functions have constant second differences. exponential functions have a constant ratio.

Each sedan can seat 2 passengers per type of taxi seat and each minivan can seat 2 passengers per type of taxi seat.

Total no. of sedans requested by the first group = 1

Total no. of minivans requested by the first group = 2

Total no. of people that can be seated = 13

Total no. of sedans requested by the second group = 3

Total no. of minivans requested by the second group = 2

Total no. of people that can be seated = 19

Now, the total no. of people for each type of taxi can seat = 13 passengers / 3 taxis.

By rounding up to the nearest value,  4 passengers per taxi.

No. of sedan seats = No. of passengers of a minivan.

By implementing division,

So, the total no. of passengers for each type of taxi can seat = 4/2 = 2 passengers.

Therefore, each sedan can seat 2 passengers per type of taxi and each minivan can seat 2 passengers per type of taxi.

To learn more about division:

https://brainly.com/question/28749372

#SPJ4

Answer:

answer C

Step-by-step explanation:

Answer:

opt B

Step-by-step explanation:

A=pi times radius squared

A=pi times 4.5 squared

4.5 is half of 9

proof 9/2

Answer:

Use the Pythagorean theorem for right triangles to solve this

a^2 + b^2 = c^2     where 'a' and 'b' are the legs of the triangle and 'c' is the hypotenuse

so:

8^2 + b^2 = 17^2     solve for the second leg, b

64 + b^2 = 289

b^2 = 289 - 64= 225

b = 15

Answer:

Step-by-step explanation:

64 square root 2

Answer:

1:2 or 2:1

Step-by-step explanation:

the only thing you need to do is separate m:

2/7m= 3/14 + 1/7

2/7m= 5/14

m= (5/14)/(2/7)

m= 5/14 × 7/2

m= 35/28

m= 5/4

Answer:

m=4/5

Step-by-step explanation:

The first situation involves an airliner traveling at a speed of 550 m/s in a heading 27 degrees south of west. The second situation describes a boat traveling 7.5 km north and 3.0 km west. The third situation involves a mailman walking 6.0 blocks north, 9.0 blocks east, and 3.0 blocks south.

For the airliner's situation, we can break down the given heading into its components. Since the airliner is traveling south of west, we have a component pointing west and a component pointing south. Using trigonometry, we can determine the magnitudes of these components. The west component can be found by multiplying the speed (550 m/s) by the cosine of the angle (27 degrees). The south component can be found by multiplying the speed by the sine of the angle. These calculations will give us the components of the vector.

For the boat's situation, we can visualize the journey on a graph. The boat travels 7.5 km north and 3.0 km west. We can draw arrows representing these displacements and then connect the starting point with the endpoint of the journey. The distance between the starting point and the endpoint can be found using the Pythagorean theorem. The direction can be determined by finding the angle between the resultant vector and the north direction.

For the mailman's situation, we can add the displacement vectors of the blocks he walks north, east, and south. Similar to the boat's situation, we can use the graphical method to find the resultant vector. The distance from the starting point can be calculated using the Pythagorean theorem, and the direction can be determined by finding the angle between the resultant vector and the north direction.

By applying appropriate mathematical calculations and graphical representations, the distance and direction from the original locations can be determined for both the boat and the mailman.

Learn more about vector here:

https://brainly.com/question/30958460

#SPJ11

Answer:

B = -6

Step-by-step explanation:

so yes, you're correct.

1 solution: (-1,-3)

1) Since we are going to solve these systems graphically, let's begin by setting one pair of t-tables:

b) 2x-y=1, y=-3

2x-y=1 ⇒-y= 1 -2x ⇒ y=2x-1

Now, let's plot those points and trace one increasing line for the first one, and one horizontal line for the constant function y=-3

2) Plotting that system, we can tell the solution is the common point to both equations:

Thus, the answer is (-1,-3)

Answer:

6

Step-by-step explanation:

\(\sqrt[3]{216}\) = 6

The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

Learn more about Statistics

brainly.com/question/29093686

#SPJ11

Answer:i need to know what youre trying to find first

Step-by-step explanation:

Answer:

29=n/3

Step-by-step explanation:

Answer:

29 = n/3

Step-by-step explanation:

\(29 = \frac{1}{3} of \: n \\ 29 = \frac{1}{3} \times n \\ 29 = \frac{n}{3} \)

The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).

To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.

Let's start with the first fraction's denominator:

x² + x - 6

We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:

x² + x - 6 = (x + 3)(x - 2)

Now let's factor the second fraction's denominator:

x² - 6x + 8

We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:

x² - 6x + 8 = (x - 2)(x - 4)

Now we can rewrite the original expression with a common denominator:

(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))

Next, we can simplify the numerator:

(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

Finally, we can't simplify this expression any further. Therefore, the simplified expression is:

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

To know more about expression here

https://brainly.com/question/14083225

#SPJ1

Answer:

$1,920.00

Step-by-step explanation:

12,800 x 15%=1,920.00

In an illustration of a normal probability distribution, a shaded area represents probability. The probability of the event occurring within that range is equal to the area of the shaded region.

A normal probability distribution is a type of continuous probability distribution that follows a bell-shaped curve. The total area under this curve is equal to 1, which means that the probability of any given event occurring is always between 0 and 1. When a shaded area is shown in an illustration of a normal probability distribution, it represents the probability of a specific event occurring within a certain range. For example, if the shaded area represents the area under the curve between two specific points, the probability of the event occurring within that range is equal to the area of the shaded region.

In statistics, probability is a fundamental concept that is used to measure the likelihood of an event occurring. A normal probability distribution is a common type of distribution that is used in many areas of statistics, including hypothesis testing, confidence intervals, and regression analysis. The normal distribution is characterized by its bell-shaped curve, which is symmetrical and has a peak at the center. The curve is also continuous, which means that there are no gaps or jumps in the data. The standard deviation of the distribution determines the width of the curve, while the mean determines the center. One of the key features of the normal distribution is that it is completely determined by its mean and standard deviation. This means that if you know these two parameters, you can calculate the probability of any event occurring within the distribution.

To know more about normal probability distribution visit :-

https://brainly.com/question/31226766

#SPJ11

The probability of x taking on a value between 75 to 90 is 0.25.

Given that x is a continuous random variable uniformly distributed between 65 and 85.To find the probability that x lies between 75 and 90, we need to find the area under the curve between the values 75 and 85, and add to that the area under the curve between 85 and 90.

The curve represents a rectangular shape, the height of which is the maximum probability. So, the height is given by the formula height of the curve = 1/ (b-a) = 1/ (85-65) = 1/20.Area under the curve between 75 and 85 is = (85-75) * (1/20) = (10/20) = 0.5Area under the curve between 85 and 90 is = (90-85) * (1/20) = (5/20) = 0.25.

To know more about variable visit:

https://brainly.com/question/15740935

#SPJ11

Corrected Question

Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72

Answer:

\(P(A \cup B) =0.72\) (Proved)

Step-by-step explanation:

Sue travels by bus or walks when she visits the shops.

Let the event that she catches the bus to the shop=A

Let the event that she catches the bus from the shop=B

P(A)=0.4

P(B)=0.7

Both A and B are independent events.

Therefore,Probability that she catches the bus to and from the shop:

P(A∩B) = 0.4 X 0.7= 0.28

Probability Sue walks at least one way \(P(A \cup B) = 1 - P(A \cap B)\)

\(= 1 - 0.28\\= 0.72\)

Hence, the probability that Sue walks at least one way is 0.72.

Answer:

The correct answer is indeed C. Rotation and dilation :)

The similarity transformation that maps ΔDEF to ΔDEF is rotation and dilation.

Dilation involves scaling an object by multiplying the distance between all of its points and a fixed point, called the center of dilation, by a constant factor.

The factor can be greater than 1, in which case the object gets larger, or it can be between 0 and 1, in which case the object gets smaller.

The center of dilation can be located anywhere in the plane.

We have,

Rotation and dilation are both transformations in geometry that can be used to change the size and shape of an object.

Rotation involves rotating an object around a fixed point, called the center of rotation.

The object remains the same size and shape, but its orientation changes.

Dilation involves scaling an object by multiplying the distance between all of its points and a fixed point, called the center of dilation, by a constant factor.

Now,

We see that,

There is rotation and dilation on ΔDEF.

Thus,

The similarity transformation that maps ΔDEF to ΔDEF is rotation and dilation.

Learn more about dilation here:

https://brainly.com/question/24086757

#SPJ5

Graphs are used to depict a line's equations.

The lines cross the starting point.

The slope of the line could vary.

The formula is as follows:

y = mx

Here,

Set x = 0

Then,

y = mx

y = m × 0

y = 0

This indicates that the point (0,0) is on the equation's line y = mx.

Or to put it another way, the line goes through the origin.

Therefore, we can say that the origin is shared by all lines in the form.

The distinction between them is that for such lines, the value of m may change.

Learn more about equation of line here;

https://brainly.com/question/13663905

#SPJ1

Answer:

12

Step-by-step explanation:

hope it helps you.:)

mark as brainliiest

Answer:

13 pieces of jewelry

Step-by-step explanation:

you can write an equation! the maximum amount of money yoy can spend is 130, and

for each piece of jewelry we buy, x, we spend 10

imagineing we spend all of our money, we will have zero dollars

0 = 130 - 10x

solve for x

x = 13

Statistical inference methods. These methods help us determine if findings from a sample can be generalized to the full population by using mathematical techniques to make inferences about population parameters based on sample data.

Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called statistical inference methods. These methods involve making inferences and drawing conclusions about population parameters based on sample data. Statistical inference helps us make statements about the population based on the information obtained from a representative sample. Common techniques in statistical inference include hypothesis testing, confidence intervals, and estimation.

learn more about Statistical inference methods here:
https://brainly.com/question/30881181

#SPJ11

Answer:

-480

Step-by-step explanation:

(-5)(16)(-3)(-2) =

= (-80)(-3)(-2)

= (240)(-2)

= -480

Answer:

(2,13)

Step-by-step explanation:

Step 1:

Substitute \(y\) for \(4x+5\) in the second equation, \(2x+y=17\)

Step 2:

With the new equation,  \(6x+5=17\), we can subtract 5 from both sides

Step 3:

\(6x=12\)

Divide both sides by 6

\(x=2\)

Step 4:

Plug in 2 for x

\(y=4(2)+5\)

\(y=8+5\\y=13\)

Step 5:

Check our work

\(2(2)+13=17\\4+13=17\\17=17\)

y = 4x + 5

2x + y = 17

2x + 4x + 5 = 17

6x + 5 = 17

6x + 5 = 17

      -5  | -5

         x = 2

Proof that x equals 2:

6x + 5 = 17

      -5  | -5

      6x | 12

       6  | 6

        x = 2

Now to figure out what y equals.

y = 4x + 5

6x + 5 = 17

-6         | -6

   x + 5 | 11

         5 | 5        11/5 = 2.2

         y = 2.2

2.2 rounded equals 2.

x = 2, y = 2

So each box should have a 2.

The answer is (2,2).

Let me know if this is the correct answer. :)

Conclusion can they reach based on the above output when they set the significance level to be 0.10 is that we can not draw conclusions based on the above statistical output because the conditions are not met due to the extreme outliers.

A person with specific training in meteorology applies scientific principles to describe, comprehend, observe, or forecast atmospheric occurrences on earth and/or how the atmosphere impacts the planet's surface and life are meteorologists.

Given,

Meteorologists in Texas want to increase the amount of rain delivered by thunderheads by seeding the clouds. Without seeding, thunderheads produce, on average, 300 acrefeet. The meteorologists randomly selected 29 clouds which they seeded with silver iodide to test their theory that average acrefeet is more.

Conclusion can they reach based on the above output when they set the significance level to be 0.10 is,

e. We can not draw conclusions based on the above statistical output because the conditions are not met due to the extreme outliers.

To learn more about meteorologists, visit:

https://brainly.com/question/5145125

#SPJ4