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4 years ago

4(x + 1) − 7x = −3 (x − 1) + 1

1 answer:

7 0

The apartment complex has 20 apartment per buildings 4 apartment are 3 bedroom apartment, 7 are 2 bedroom unit,and 9 apartment are 1 bedroom units.if the apartment complex builds 50 buildings how many 3 bedroom units would they have?

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Find the slope of each line.

vivado [14]

Answer:

A is 1:2 B is 3:1 C is 2:3

Step-by-step explanation:

4 0

3 years ago

Simple answers please

charle [14.2K]

Answer:

A'(4, -4)
B'(0, -3)
C'(2, -1)
D'(3, -2)

Step-by-step explanation:

The coordinate transformation for a 270° clockwise rotation is the same as for a 90° counterclockwise rotation:

(x, y) ⇒ (-y, x)

The rotated points are ...

A(-4, -4) ⇒ A'(4, -4)

B(-3, 0) ⇒ B'(0, -3)

C(-1, -2) ⇒ C'(2, -1)

D(-2, -3) ⇒ D'(3, -2)

_____

Additional comment

To derive and/or remember these transformations, it might be useful to consider where a point came from when it ends up on the x- or y-axis.

A point must have come from the -y axis if rotating it 270° CW makes it end up on the +x-axis. A point must have come from the x-axis if rotating it 270° makes it end up on the +y axis. That is why we write ...

(x, y) ⇒ (-y, x) . . . . . . the new x came from -y; the new y came from x

4 0

3 years ago

Help??? Its a two step inequality problem. I dunno what X equals too.

Verizon [17]

Answer:

$x \geq -1$

Step-by-step explanation:

$-4x + 2 \geq -6x$

Add $6x$ to both sides:

$-4x + 2 + 6x \geq -6x + 6x$

$2x + 2 \geq 0$

Subtract 2 from both sides:

$2x + 2 - 2 \geq 0 - 2$

$2x \geq -2$

Divide both side by 2:

$\frac{2x}{2} \geq \frac{-2}{2}$

$x \geq -1$

5 0

3 years ago

Read 2 more answers

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me

Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

$\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286$