The graph of the absolute value parent function, f(x) = Ixl, is stretched
horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
OA. g(x) = 16x|
O B. g(x) = x + 6|
OC. g(x) = 61x|
O D. g(x) = |x|

Answer:

-14x² - x + 4

Step-by-step explanation:

(-10x² + 5x - 3) - (4x² + 6x - 7)

= (-10x² + 5x - 3) - (+4x²) - (+6x) - (-7)

= (-10x² + 5x - 3) -4x² -6x +7

= -10x²-4x² +5x-6x -3+7

= -14x²  - x + 4

Answer:

7

Step-by-step explanation:

In the first triangle, the length of the sides are 32(4*8), 56(8*7) & 40(5*8)

so in the second figure, the lengths are 4, 7, 5

Answer:

±√28851 -7

Step-by-step explanation:

√(-7-x)²+(-1-6)² = 170

:)

Answer:

I'd say x=30

cause the angle is 60°

Answer:-1.38

19/50=.38 in decimal form +(-1) = -1.38

Answer:

uytrfvvhhhhhhhjkklñññññlluuyjnkuyjuyjju

Answer:

the answer is b, c, d, a, respectively

The one making the most money in one week is by sales manager which is an amount of $1006.25.

Unit rate is the amount of one quantity for a unit amount of the other quantity.

Given that,

Hourly rate of a head mechanic = $37.52 per hour

Number of hours worked in a week = 25 hours

Money made = 25 × 37.52 = $938

Hourly rate of a assistant mechanic = $30.42 per hour

Number of hours worked in a week = 30 hours

Money made = 30 × 30.42 = $912.6

Hourly rate of a sales manager = $28.75 per hour

Number of hours worked in a week = 35 hours

Money made = 35 × 28.75 = $1006.25

Hourly rate of a front desk clerk = $15.09 per hour

Number of hours worked in a week = 40 hours

Money made = 40 × 15.09 = $603.6

Money most made is by sales manager.

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Your question is incomplete. The complete question is given as,

Who would make the most money in one week? a head mechanic working 25 hours with an hourly rate $37.52 per hour, an assistant mechanic working 30 hours with an hourly rate $30.42 per hour, a sales manager working 35 hours with an hourly rate $28.75 per hour, a front desk clerk working 40 hours with an hourly rate $15.09 per hour?

Answer:

P = 0.00000751

the probability that 3 randomly selected people all have the same birthday is 0.00000751

Step-by-step explanation:

the probability that 3 randomly selected people all have the same birthday P;

P = P1 × P2 × P3 ........1

For the first person, since there is no specified date, he can have any of the 365 days of the year as his birthday. the probability P1 is;

P1 = 365/365 = 1

For the second person, he must have the same birthday as the first. The probability P2 is;

P2 = 1/365

The third person must also have the same birthday as the other two. The probability P3 is;

P3 = 1/365

Substituting the values into equation 1;

P = 1 × 1/365 × 1/365

P = 0.0000075060987051

To eight decimal places;

P = 0.00000751

the probability that 3 randomly selected people all have the same birthday is 0.00000751

The algebraic property illustrated is the commutative property of multiplication

The properties of algebra are those properties mostly used in simplifying algebraic expressions.

Algebraic properties are:

From the expression given we have

4/5 • 5/4 = 1

= 4/ 5 × 5/ 4

= 1

Thus, the algebraic property illustrated is the commutative property of multiplication

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Answer:

M = 27 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin M = opp side/ hypotenuse

Sin M = 5/11

Take the inverse sin of each side

sin ^-1  sin M = sin ^1 (5/11)

M = 27.03569179

To the nearest degree

M = 27 degrees

Answer:

\( \frac{0.75x - 3}{x - 1} \)

Step-by-step explanation:

Equation of a rational function is

\( \frac{p(x}{q(x)} \)

where q(x) isn't zero.

There is a vertical asymptote at

\(x = 1\)

So this mean that our denomiator must have a zero that occur at x=1.

That zero is

\(x - 1\)

So our denomiator is

\( \frac{p(x)}{x - 1} \)

Since our horinzontal asymptote is a non zero value, the numerator must be a linear equation as well.

So our rational function is

\( \frac{ax + b}{x - 1} \)

We know the graph pass through (0,3)

So if we apply that logic,

\( \frac{a(0) + b}{0 - 1} = 3\)

\( \frac{b}{ - 1} = 3\)

\(b = - 3\)

And it passes through (4,0)

\( \frac{a(4) + b}{3} = 0\)

\(4a + b = 0\)

\(4a + ( - 3) = 0\)

\(4a = 3\)

\(a = \frac{3}{4} \)

So our rational equation is

\( \frac{0.75x - 3}{x - 1} \)

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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Finding the values of d and the value of m with the algebraic working will give us the the value of d to be 7 and the value of m to be 3.

Finding the value of d, we know that the sum of the first n terms of an arithmetic series is given by:

S = n/2 * (2a + (n-1)d)

Since the sum of the first n terms is S and the sum of the first 2m terms is S2m, we can set up the following equation:

S = m/2 * (2a + (m-1)d)

S2m = 2m/2 * (2a + (2m-1)d)

Substituting the given values for S and S2m into these equations, we get:

39 = m/2 * (2a + (m-1)d)

320 = 2m/2 * (2a + (2m-1)d)

Solving for d in each equation, we find that d = -7 in the first equation and d = 7 in the second equation. Since d must be a prime number, the only possible value for d is 7.

Now that we know the value of d, we can solve for m. Substituting the value of d back into one of the equations and solving for m, we get:

39 = m/2 * (2a + (m-1)7)

78 = m * (2a + (m-1)7)

78 = m * 2a + 7m^2 - 7m

7m^2 - m - 78 = 0

We can solve for m using the quadratic formula:

m = (-1 +/- sqrt(1^2 - 4*7*(-78)))/(2*7)

= (-1 +/- sqrt(2521))/14

= (-1 + 49)/14 = 3

= (-1 - 49)/14 = -7

Since m must be a positive integer, the only possible value for m is 3.

Therefore, the value of d is 7 and the value of m is 3.

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Answer:

A proof for the statement by selecting the given sentences are as follows;

Suppose there is an integer m such that 7·m + 4 is divisible by 7

By definition of divisibility, 7·m + 4 = 7·k for some integer k

Subtracting 7·m from both sides of the equation gives 4 = 7·k - 7·m = 7·(k - m)

Dividing both sides of the equation by 7 results in 4/7 = k - m

But k - m is an integer and 4/7 is not an integer

Therefore, for every integer m, 7·m + 4 is not divisible by 7

Step-by-step explanation:

The given equation can be expressed as follows;

Where 7·m + 4 is divisible by 7, we have;

7·m + 4 = 7·k

Where 'k' is an integer

We have;

7·m + 4 - 7·m = 4 = 7·k - 7·m

∴ k - m = 4/7, where k - m is an integer

∴ k - m cannot be equal to 4/7, from which we have;

7·m + 4 cannot be divisible by 7.

Answer:

first pic answer = first bit

Answer:

Option 3

Step-by-step explanation:

Option 3 is not a function as there is no regular pattern like the other functions. In mathematics, instructions in a function are constant and cannot be changed meaning that there will always be some kind of pattern with each produced value.

Let's see an example:

\(f(x) = 2x + 1\)

For each value of x, each outcome will have gone through the same process. The first 5 values of this function will be 3, 5, 7, 9, 11.

The pattern here is that every outcome is an odd number.

Returning to the question, each option (excluding option 3) has a pattern.

Option 1: Y is always 1 and X is increasing by 1 each time, starting from 0.

Option 2: X is always 0 and Y is increasing by 1 each time, starting from 0.

Option 4: X and Y are increasing by a factor of 2 each time, starting from 0.

But, there is no pattern with option 3.

I hope this helps.

The 14 basket has the highest relative frequency.

What is relative frequency?

Frequency of an event is defined as the number of times the event has occured but the relative frequency is a comletely exprimental value apart from the frequency.

Here in the table 14 basket ha sthe frequency of 4, 15 basket has the frequency of 2, 16 basket has the frequency of 1 and 17 basket has the frequency of 2.

Now, Sum of all the frequency is 9

Now the relative fequency of 14 basket is \(\frac{4}{9}=0.44\)

Relative frequency of the 15 basket is \(\frac{2}{9}=0.22\)

Relative frequency of 16 basket is \(\frac{1}{9} =0.11\)

And relative frequency of 17 basket is \(\frac{2}{9}=0.22\)

So, the height relative frequency is 0.44 and is of 14 basket.

Hence, 14 basket has the height relative frequency.

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No, the inference is not valid because it excluded those who were not online and so did not see the poll.

To improve the poll, the news show could have conducted it in a more representative manner by surveying a larger sample of people from a variety of backgrounds

The poll's results may have been influenced by various factors, including but not limited to the order in which the comedians were presented, the demographics of the respondents, and the fact that it was conducted online, possibly excluding those without internet access. Overall, the poll's representative accuracy is questionable.

To enhance the accuracy of the survey, the broadcast could have implemented a more inclusive method by polling a wider range of individuals from diverse backgrounds. An alternate method for conducting the poll would have been by personal or telephonic means, enabling individuals without internet connectivity to participate.

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Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer: \(x=0, -\frac{3}{2}\)

Step-by-step explanation:

\(4x^2 +6x=0\\\\2x(2x+3)=0\\\\2x=0, 2x+3=0\\\\x=0, -\frac{3}{2}\)

Answer:

12 i guess?????????????

4) If a shoe of size 9.5 is added to the data, the way the median would change is that; The median will increase to 7

5) If a value of 50° is added, the way that the median will change is that; The Median decreased to 77°

6) If 101° is added, then ; Mean increases to 82°

4) Arranging the shoe sizes from least to greatest is;

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5

The median here will be; (7 + 6.5)/2 = 6.75

If a size of shoe of 9.5 is added, the sizes will be arranged as;

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, 9.5

The median will increase to 7

5) Arranging the average high temperatures from least to greatest is;

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

The median here will be; (77 + 82)/2 = 78.5

If we add 50° to the values, the median is now;

Median = 77

Median decreased to 77°

6) 57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

The mean is; (57 + 58 + 61 + 66 + 71 + 77 + 82 + 91 + 95 + 100 + 102 + 105)/12 = 80.42

If 101° is added, mean = (965 + 101)/13 = 82

Mean increases to 82°

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It is necessary to compute in the volume of the rotated region while taking into account that each cross section piece is raised up by a height of h = 4 - y. Scale the results by 62.4 lb/ft3 as well.

The given parabolic region's volume of revolution about the y-axis is a parabolic cylinder. This solid is revolved, and it has circular disks as its cross section. The differential volume of one such disk situated at a differential height y above the x-axis must be determined. The weight of water in this volume can then be calculated by multiplying this volume by the density of water. The depth of this volume is then determined from the tank's top surface. Determine how much differential work is needed to lift this water layer to the top surface. Integrate this differential work now to calculate the overall effort needed to empty the tank.

Rotating the curve x=3y about the y-axis creates the region. Keep in mind that 62.5 = (125 / 2) As a result, using the disk method,

\(\int_{0}^{3} \left(\frac{125}{2} \pi (4-y) (3\sqrt{y})^2\right)\, dy \\ &=\int_{0}^{3} \left(\frac{1125}{2} \pi (4-y) y\right)\, dy &\text\)

Integrate in relation to:

\(y\text{]} \\ &=\left(-\frac{1125}{2} \pi \left(\frac{y^3}{3}-2 y^2\right)\right)\bigg|_{0}^{3} \\ &=\frac{10125 \pi }{2} \\ &\approx 16045.7 \end{align*} \)\)

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Answer:

5 Graph. Place a for on the -2 on the Y axis. next count up 1 and right 1 and place a dot. Do the opposite going down and left. do this for however long you need.

6.

Y= -3x + 2

also not sure ;-;

7.

I think 2 and 4 but I'm not sure on this one ;-;

8.

Y = 16z (I believe)

8 days

9.

a. 2

b. 15 gallons

c. 7.5 hours

I tried my best. Hopefully this helps you :)