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Phantasy [73]
4 years ago
13

write the equation of a line that is parallel to y = - 3/2 x -1 and that passes through the point (4,6)​

Mathematics
1 answer:
maria [59]4 years ago
3 0

Answer:

Step-by-step explanation:Given Equation of line has slope m=-3/2

So the line passing through (4,6) has the same slope because both are parallel

From slope intercept form we have

y-y1=m(x-x1)

y-6=-3/2(x-4)

y-6=-3/2x +3/2(4)

y=-3/2x+12

2y=-3x+24

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Round tables seating 8 people and rectangular tables seating 12 people are being used at a banquet for 8th graders. The ratio of
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Answer:

<u>36 tables are used to seat  the students at the banquet: 12 rectangular and 24 round.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Round tables = 8 seats

Rectangular tables = 12 seats

Ratio of round tables to rectangular tables = 2:1

Number of students = 336

2. How many tables are used to seat 336 students at the banquet, if no table has an empty seat?

x = Number of rectangular tables

2x = Number of round tables

Let's solve for x, using this equation:

12x + 8 (2x) = 336

12x + 16x = 336

28x = 336

x = 336/28

x = 12 ⇒ 2x = 24

12 + 24 = 36

<u>36 tables are used to seat  the students at the banquet: 12 rectangular and 24 round.</u>

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Answer:

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Step-by-step explanation:

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3 years ago
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Marina CMI [18]

The solution to the system of inequalities given is: \frac{4}{3} \leq y \leq 4

<h3>What is the solutions to a system of inequalities?</h3>

The solution is the set of values that respect all conditions of the system.

The first condition is:

3y - 13 \geq -9

3y \geq 4

y \geq \frac{4}{3}

The second condition is:

3y - 13 \leq -1

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y \leq \frac{12}{3}

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The intersection of the conditions, which is the solution to the inequality, is:

\frac{4}{3} \leq y \leq 4

More can be learned about a system of inequalities at brainly.com/question/3656398

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nasty-shy [4]
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Hope it helps!
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