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SVEN [57.7K]
4 years ago
13

Which linear inequality is represented by the graph?

Mathematics
1 answer:
aksik [14]4 years ago
5 0

Answer:

B. y ≤ 1/2x + 3

Step-by-step explanation:

To write the equation of the inequality, use the linear equation form y = mx + b. The y-intercept is b and is where the line intersects the y-axis. Here b = 3. You can find the slope m by counting between points the vertical and horizontal distances. Here it is 1/2. Substitute m = 1/2 and b = 3.

y = 1/2x + 3

Since this is an inequality and a solid line has been used, you must use ≤ and ≥. To determine which is for this equation, test the point (0,0) in each.

y ≤ 1/2x + 3                y ≥ 1/2x + 3

0 ≤ 1/2(0) + 3             0 ≥ 1/2(0) + 3

0 ≤ 3  True               0 ≥ 3 False

Since (0,0) is a part of the set of solutions, the equation which is true is the correct equation.

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REWARDING 70 POINTS IN MATH TO THOSE WHO GET IT RIGHT<br> NO CHEATING ORELSE REPORTING
navik [9.2K]

Answer:

y = (2/3)x + 1.5

Step-by-step explanation:

To get our equation, we must first convert our values from inches to feet.

8/12 = 2/3 or 0.666667...

18/12 = 3/2 or 1.5

Now that we have our inches converted to feet, we can plug our values into the equation y = m(x) + b.

4 0
3 years ago
Read 2 more answers
the difference of two numbers is eight the first number x is one less than twice the second number y write and solve a system of
jeka94
<h3>Answer:</h3>

The two numbers are 17 and 9.

<h3>Explanation:</h3>

<em>System of Equations</em>

Let x and y represent the first and second numbers, respectively.

... x - y = 8 . . . . . . . . . the difference of the two numbers is 8

... x = 2y - 1 . . . . . . . . .the first number is one less than twice the second

<em>Solution</em>

The second equation gives an expression for x that can be substituted into the first equation.

... (2y -1) -y = 8

... y -1 = 8 . . . . . . . collect terms

... y = 9 . . . . . . . . . add 1

... x = 2·9 -1 = 18 -1

... x = 17

The first number is 17; the second number is 9.

4 0
3 years ago
What value in the replacement set is a solution to this equation?
Anna007 [38]

Answer:

3(n+7)=48 Replacement set: {8, 9, 10} Drag the solution into the box. ... n = 9 is the value in the replacement set is a solution to the equation ...

Step-by-step explanation:

8 0
3 years ago
Solve for m Q=m-n/3p
Gala2k [10]
Isolate m by add n/3p to Q

m = Q + n/3p
6 0
3 years ago
The average lifetime of a certain new cell phone is 6 years. The manufacturer will replace any cell phone failing within 2 years
yarga [219]

Answer:

1/6

Step-by-step explanation:

Let X = amount of time (in minutes) a postal clerk spends with his or her customer. The time is known to have an exponential distribution with the average amount of time

X is a continuous random variable since time is measured. It is given that μ = 6 years. To do any calculations, you must know m, the decay parameter.

m = 1/μ = 1/6

So the decay rate is 1/6

3 0
3 years ago
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