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2 years ago

Which of the equations below represents a line perpendicular to the y-axis?

Mathematics

2 answers:

timurjin [86]2 years ago

7 0

Answer:

B. y = -6

Step-by-step explanation:

As you can see the graph I done is perpendicular

Olenka [21]2 years ago

4 0

Answer:

Step-by-step explanation:

A line perpendicular to the y- axis is a horizontal line parallel to the x- axis, with equation

y = c ( where c is the value of the y- coordinates the line passes through )

The only equation in this form is

y = - 6 → B

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What is the maximum value of P = 24x + 30y, given the constraints on x and y listed below? x+y (less than or equal to) 5 x-y (gr

valentina_108 [34]

Answer:

Step-by-step explanation:

We have to first find the vertices of the feasible region before we can determine the max value of P(x, y). We will graph all 4 of those inequalities in a coordinate plane and when we do that we find that the region of feasibility is bordered by the vertices (0, 0), (0, 1), (2, 3), and (5, 0). Filling each x and y value into our function will give us the max value of that function.

Obviously, when we sub in (0, 0). we get that P(x, y) = 0.

When we sub in (0, 1) we get 24(0) + 30(1) = 30.

When we sub in (2, 3) we get 24(2) + 30(3) = 138.

When we sub in (5, 0) we get 24(5) + 30(0) = 120.

Obviously, the vertex of (2, 3) maximized our function for a value of 138.

6 0

2 years ago

The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 73.7 m

umka2103 [35]

Answer:

a) 0.2347, 0.0007

b) 1.30

c) 0.63

Step-by-step explanation:

Given –

Mean = 73.4

Sigma = 4.7

Probability that the speed is greater than 70 is

P (X>70) = P (z> (70-73.4)/4.7) = P (z>-0.72) = 0.7653

a) The probability that a car is not speeding = 1 - 0.7653 = 0.2347

The probability that all 5 cars are not speeding = (0.2347)5 = 0.0007

b) E (X) = 1/p = 1/0.7653 = 1.30

c) Standard deviation = Sqrt (1-p/p) = (1-0.7653)/0.7653 = 0.63

5 0

2 years ago

Write the sentence as an inequality. Three times a number r plus 8 is fewer than −12

faltersainse [42]

Answer: $3r+8$ .

Step-by-step explanation:

It is given that three times a number r plus 8 is fewer than −12.

We need to write the sentence as an inequality.

Three times a number r = 3r

Times a number r plus 8 = 3r+8

Fewer than = less than = <

So, the inequality for the sentence "three times a number r plus 8 is fewer than −12" is

$3r+8$

Therefore, the required inequality is $3r+8$ .

7 0

2 years ago

What is the gcfof 42 <br> and 90

Vera_Pavlovna [14]

Answer:

42 and 90 is 6.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A quarter-circle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters

Zina [86]

Answer:

Took the test on K12 and your answer would be 5.21

Step-by-step explanation:

6 0

2 years ago