All categories

3 years ago

Discuss transformation of linear equations in two sentences

Mathematics

1 answer:

Vlad1618 [11]3 years ago

5 0

Answer:

transformations are used to to graph the linear function in the form of f(x)=mx+b f ( x ) = m x + b. google says to "Graph f(x)=x f ( x ) = x . Vertically stretch or compress the graph by a factor |m|. Shift the graph up or down b units."

You might be interested in

What is the solution to the equation 6t=144

Grace [21]

Isolate the variable by dividing both sides by 6:
t=144/6=24

The solution is t=24

Good luck!

8 0

2 years ago

Read 2 more answers

A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates th

sergij07 [2.7K]

Answer:

(a) The mean or expected value of X is 2.2.

(b) The standard deviation of X is 1.3.

Step-by-step explanation:

Let X = number of times the traffic light is red when a commuter passes through the traffic lights.

The probability distribution of X id provided.

The formula to compute the mean or expected value of X is:

$\mu=E(X)=\sum x.P(X=x)$

The formula to compute the standard deviation of X is:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}$

The formula of E (X²) is:

$E(X^{2})=\sum x^{2}.P(X=x)$

(a)

Compute the expected value of X as follows:

$E(X)=\sum x.P(X=x)\\=(0\times0.06)+(1\times0.25)+(2\times0.35)+(3\times0.15)+(4\times0.13)+(5\times0.06)\\=2.22\\\approx2.2$

Thus, the mean or expected value of X is 2.2.

(b)

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}.P(X=x)\\=(0^{2}\times0.06)+(1^{2}\times0.25)+(2^{2}\times0.35)+(3^{2}\times0.15)+(4^{2}\times0.13)+(5^{2}\times0.06)\\=6.58$

Compute the standard deviation of X as follows:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}\\=\sqrt{6.58-(2.22)^{2}}\\=\sqrt{1.6516}\\=1.285\\\approx1.3$

Thus, the standard deviation of X is 1.3.

4 0

3 years ago

Read 2 more answers

Bobcat Park is a rectangular park with an area of 5 2/5 square miles.Its width is 1 11/25 miles.How long is the park?

ELEN [110]

I believe it is 3.75 miles. 5 2/5=5.4 and 1 11/25=1.44. 5.4/1.44=3.75.

4 0

3 years ago

The initial population of a town in the year 2010 was 20 000. By 2014, the population had grown exponentially to 32 500 people.

stiv31 [10]

Answer:

P = 20000×1.625^(n/4)

Step-by-step explanation:

An exponential equation can be written using the given data:

value = (initial value)×(growth factor in period)^(n/(period))

Here, the growth is by a factor of 32500/20000 = 1.625, and the period is 4 years. Then your exponential equation is ...

P = 20000×1.625^(n/4)

3 0

3 years ago

Consider a rectangle with vertices A (4, 7), B (6, 7), C (4, -1), and D (6, -1). What is the length of side CD? What is the leng

bogdanovich [222]

Same way can find BD length

8 0

3 years ago

Read 2 more answers