Solving each system by elimination -9x+y=11 -8x-y=6

Question 7 PLEASE HELP Describe the transformation from the graph of f(x) =x to the graph of g(x)=1/5x+4 A: The transformations

Elis [28]

Answer:

A: The transformations are a rotation and a translation.

Step-by-step explanation:

The function f(x) is shown in the attachment as a dashed red line. The function g(x) is shown as the blue line.

The two lines have different slopes. The change in slope can be accomplished by horizontal or vertical scaling, or by rotation. The offered answer choices only include rotation as an option for changing the slope.

The two lines have different intercepts. To move the line from one intercept to another, generally translation is involved.

The simplest transformation is rotation and translation.

_____

Comment on the answer choices

If the reflection is done across a line other than an axis, or if the rotation is done about a point other than the origin, then any combination of rotation, reflection, and translation can be used to make the transformation seen. (Translation alone is not sufficient.)

For example, reflecting the line across the bisector of the angle between the lines (a line with a slope of (√13 -2)/3 through (5, 5)) will give the desired transformation in one step.

Similarly, a rotation of about 33.69° about the point (5, 5) will give the transformation in on step. (That angle is 45°-arctan(1/5).)

7 0

3 years ago

"A study conducted at a certain college shows that 56% of the school's graduates find a job in their chosen field within a year

KiRa [710]

Answer:

99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they find a job in their chosen field within one year of graduating, or they do not. The probability of a student finding a job in their chosen field within one year of graduating is independent of other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

56% of the school's graduates find a job in their chosen field within a year after graduation.

This means that $p = 0.56$

Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

This is $P(X \geq 1)$ when n = 6.

Either none find a job, or at least one does. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.56)^{0}.(0.44)^{6} = 0.0073$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0073 = 0.9927$

99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

8 0

3 years ago

A toy box has a volume of 30 cubic feet. It is 5 feet wide And 2 feet long. What is the height of the toy box

otez555 [7]

V = a * b * c
V = 30
a = 5
b = 2
c = ?
30 = 5*2*c
30 = 10*c
c = 30/10 = 3
c = 3

7 0

3 years ago

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) How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?

eimsori [14]

Question:

A solar power company is trying to correlate the total possible hours of daylight (simply the time from sunrise to sunset) on a given day to the production from solar panels on a residential unit. They created a scatter plot for one such unit over the span of five months. The scatter plot is shown below. The equation line of best fit for this bivariate data set was: y = 2.26x + 20.01

How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?

Answer:

51.65 kilowatt hours

Step-by-step explanation:

We are given the equation line of best fit for this data as:

y = 2.26x + 20.01

On a day that has 14 hours of possible daylight, the model prediction will be calculated as follow:

Let x = 14 in the equation.

Therefore,

y = 2.26x + 20.01

y = 2.26(14) + 20.01

y = 31.64 + 20.01

y = 51.65

On a day that has 14 hours of daylight, the model would predict 51.65 kilowatt hours

8 0

3 years ago

Solve the following quadratic equation by rearranging and then factorising x^2 + 7x + 19 = 9

wolverine [178]

Answer:

your lucky you did have a online lessons earlll

Step-by-step explanation:

The following are the temperatures in °C for the first 14 days of January:

-6, -2.5, 2, 2.5, -0.5, 5, 10, -3, -7, 3, -1, 7, 1, 4.5

5 0

3 years ago

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