3x+6y=18. 3y=-3/2x+9 solve as a substitution problem

Write the equation of a line that is perpendicular to y=-2x/7+9 and that passes through the point (4,−6)

Shtirlitz [24]

Answer:

y = (7/2)x -20

Step-by-step explanation:

The given line is in slope-intercept form, so you can read its slope from the equation.

y = mx + b . . . . . m is the slope; b is the y-intercept

y = -(2/7)x + 9 . . . . . . has slope -2/7

The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...

m = -1/(-2/7) = 7/2

We can use this and the given point to write the equation in point-slope form.

y = m(x -h) +k . . . . . . line with slope m through point (h, k)

We have m = 7/2, (h, k) = (4, -6) so the equation is ...

y = (7/2)(x -4) -6

y = (7/2)x -20

4 0

3 years ago

Jane gets paid $120 for 8 hours. How much does she get paid an hour?

AleksAgata [21]

Answer:

$15 an hour

Step-by-step explanation:

To find this, we divide 120 by 8.

120 ÷ 8 = 15

So Jane gets $15 an hour

I hope this helped, please mark Brainliest, thank you!

8 0

2 years ago

The total price for 7 movie tickets is 92.40 . If each ticket costs the same amount, how much does one movie ticket cost?

horsena [70]

Answer:

$13.20

Step-by-step explanation:

total cost of tickets = $92.40

total number of tickets = 7

cost of each ticket

= total cost of tickets ÷ total number of tickets

= 92.40 ÷ 7

= $13.20

hope this helps

8 0

3 years ago

Read 2 more answers

Open Ended Dan takes an airplane to visit his parents. He pays the airline a total of $400. The cost of the ticket is $320. The

Morgarella [4.7K]

Answer:

Dan paid $80 for his luggage

Step-by-step explanation:

$400

-$320

= $80

Jake wants to go to a lil uzi vert concert. A lil uzi vert concert ticket cost $320. The backstage pass is only $400, so Jake pays for that instead. He later figured out that he wanted to lose 50 pounds before the concert in 6 months and for every time he goes to the gym he has to pay $10 he only goes to the gym 8 times and his bank account has $500 on it. How much money did he have left over after going to the gym 8 times? - PS don't worry about this question its just a fake scenario i made for the second part of your question hope this helps!!!

5 0

2 years ago

The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 18, meaning that among

jeyben [28]

Answer:

(a) The value of P (None) is 0.062.

(b) The value of P(at least one) is 0.938.

(c) The value of P(at most one) is 0.253.

(d) The event is not unusual.

Step-by-step explanation:

Let X = number of households watching the show.

The probability of the random variable x is, P (X) = p = 0.18.

The sample selected for the survey is of size, n = 14

The random variable X follows a Binomial distribution with parameter n = 14 and p = 0.18.

The probability of a Binomial distribution is computed using the formula:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,...$

(a)

Compute the probability that none of the households are tuned to CSI: Shoboygan as follows:

$P(X=0)={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}=1\times1\times0.06214=0.062$

Thus, the value of P (None) is 0.062.

(b)

Compute the probability that at least one household is tuned to CSI: Shoboygan as follows:

P (X ≥ 1) = 1 - P (X < 1)

= 1 - P (X = 0)

$=1-0.062\\=0.938$

Thus, the value of P(at least one) is 0.938.

(c)

Compute the probability that at most one household is tuned to CSI: Shoboygan as follows:

P (X ≤ 1) = P (X = 0) + P (X = 1)

$={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}+{14\choose 1}(0.18)^{1}(1-0.18)^{14-1}\\=0.062+0.191\\=0.253$

Thus, the value of P(at most one) is 0.253.

(d)

An event that has a very low probability of occurrence is known as an unusual event.

The probability of the event "at most one household is tuned to CSI: Shoboygan" is 0.253.

This probability value is not low.

Hence, the event is not unusual.

5 0

3 years ago