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nikitadnepr [17]
3 years ago
10

which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21 ? Select each correct answer. (−1, −6) (−3, 3) (11

, 3) (7, 0)
Mathematics
2 answers:
valkas [14]3 years ago
6 0

Answer:

wut he said is correct i verified it

Step-by-step explanation:

Valentin [98]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

To determine which ordered pairs are solutions to the equation

Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.

(- 1, - 6)

3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution

(- 3, 3)

3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution

(11, 3)

3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution

(7, 0)

3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution

The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation

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What is 13x - 7y + 4x?
AlladinOne [14]
17X-7Y. You add or subtract the same variables, in this case you only have two x's and one y. So you add them, because you have a addition sign. 13x+4x and you leave the Y alone, because there is not another Y variable.
4 0
3 years ago
In a particular course, it was determined that only 70% of the students attend class on Fridays. From past data it was noted tha
siniylev [52]

Answer: Probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

Step-by-step explanation:

Since we have given that

Probability that students attend class on Fridays = 70% = 0.7

Probability that who went to class on Fridays would pass the course = 95% = 0.95

Probability that who did not go to class on Fridays would passed the course = 10% = 0.10

Let A be the event students passed the course.

Let E be the event that students attend the class on Fridays.

Let F be the event that students who did not attend the class on Fridays.

Here, P(E) = 0.70 and P(F) = 1-0.70 = 0.30

P(A|E) = 0.95,  P(A|F) = 0.10

We need to find the probability that they did not attend on Fridays.

We would use "Bayes theorem":

P(F\mid A)=\dfrac{P(F).P(A\mid F)}{P(E).P(A\mid E)+P(F).P(A\mid F)}\\\\P(F\mid A)=\dfrac{0.30\times 0.10}{0.70\times 0.95+0.30\times 0.10}\\\\P(F\mid A)=\dfrac{0.03}{0.695}=0.043

Hence, probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

8 0
4 years ago
Victor was having a hard time deciding which new vehicle he should buy. He decided to make the final decision based on the gas e
Amanda [17]

Answer:

Victor should buy Legend because it has a better unit rate

<em></em>

Step-by-step explanation:

See attachment for complete question.

To determine which car has more gas efficiency, we have to calculate the slope of each car.

Vehicle 1: Legend

Take any two corresponding points from the table

(x_1,y_1) = (4,72)

(x_2,y_2) = (12,216)

The slope is then calculated using;

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{216 - 72}{12 - 4}

m = \frac{144}{8}

m = 18

<em>This implies that this vehicle (legend) travels 18 miles per gallon of gas</em>

Vehicle 2: Supreme

Take any two corresponding points from the graph

(x_1,y_1) = (0,0)

(x_2,y_2) = (15,250)

The slope is then calculated using;

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{250 - 0}{15 - 0}

m = \frac{250}{15}

m = 16.7

This implies that this vehicle (supreme) travels 16.7 miles per gallon of gas

<em>Base on the calculations above, Victor should buy Legend because it has a better unit rate</em>

6 0
3 years ago
Which answer describes the graph of the system of equations?
djyliett [7]

Answer:

D) the lines coincide

Step-by-step explanation:

1. y = 4 - x

2. 2y = 8 - 2x

divide eq2 by 2:

y = 4 - x

eq 1 and 2 are identical

8 0
4 years ago
Read 2 more answers
Simplify: -6-3(5y+4)
Reil [10]
-6 - 3(5y + 4)
= - 6 - 15y -12
= -15y - 18

Hope it helped!
3 0
3 years ago
Read 2 more answers
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