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marishachu [46]
3 years ago
13

Solve the inequalities by graphing. Identify the graph that shows the following equations.

Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0

Answer:

Option (7)

Step-by-step explanation:

5x + 6y > 1

6y > -5x + 1

y > \frac{1}{6}(-5x+1)

y-intercept of the line = \frac{1}{6}=0.167

Shaded area will be above the dotted line y = -\frac{1}{5}x+\frac{1}{6}

y - x < 0

y < x

As y-intercept of the line is zero, given inequality will pass through (0, 0).

And the shaded area will be below the line.

Therefore, graph shown in Option (7) will be the correct option.  

You might be interested in
Martin was selling tickets for a basketball game in a high school. He sold 1,250 tickets and the total amount collected for the
SVETLANKA909090 [29]

Answer:

x = number of students tickets = 1,000

y = number of adults tickets = 250

Step-by-step explanation:

Let

x = number of students tickets

y = number of adults tickets

x + y = 1,250 (1)

2x + 3y = 2,750 (2)

Multiply (1) by 2

x + y = 1,250 (1) * 2

2x + 2y = 2,500 (3)

2x + 3y = 2,750 (2)

Subtract (3) from (2) to eliminate x

3y - 2y = 2,750 - 2,500

y = 250

Substitute y = 250 into (1)

x + y = 1,250

x + 250 = 1,250

x = 1,250 - 250

x = 1,000

x = number of students tickets = 1,000

y = number of adults tickets = 250

3 0
3 years ago
Solve -17 + n/5 = 33.
vova2212 [387]
-17 + n/5 = 33

First, we can start out by regrouping our terms. This will switch our fraction and number around and also make the original addition to subtraction.
\frac{n}{5} - 17 = 33

Second, we can start out our goal by trying to get the variable (n) on one side by itself and to equal something. Let's begin by adding 17 to each side of the problem.
\frac{n}{5} = 33 + 17

Third, we can now add the numbers on the right side of our problem. Simple. Add 33 + 17 to get 50.
\frac{n}{5} = 50

Fourth, we now have to multiply both sides by 5. Why? We are getting rid of the fraction so that the variable can become by itself.
n = 50 \times 5

Fifth, our last step is to multiply 50 × 5. Use a calculator, long multiplication, etc. 50 × 5 = 250. 
n = 250

Answer: \fbox {n = 250}
4 0
4 years ago
Read 2 more answers
Find x. (Use pic for more info)
V125BC [204]

Answer:

x=75

Step-by-step explanation:

Hey There!

If you didn't know the exterior angle of a triangle is equal to the sum of the opposite interior angles of a triangle

So essentially what I'm saying is that

2x-5=70+x

step 1 add 5 to each side

-5+5 cancels out

70+5=75

now we have

2x=70+x

step 2 subtract x from each side

x-x cancels out

2x-x=x

we're left with

x=75

8 0
3 years ago
The confidence interval for the water consumption of a certain plant is 5 gallons to 13 gallons per year. The level of confidenc
GarryVolchara [31]

Answer:

Average consumption ( mean )  =  9

MOE = 4

Step-by-step explanation:

We know that

CI   ( 5  ;  13 )

and   CI [ μ - MOE  ;  μ + MOE ]

From the above relations we get

μ - MOE = 5

μ + MOE = 13

Adding member to member these two equations we get

2*μ  =  18

μ = 9    and MOE = 13 - 9

MOE = 4

8 0
3 years ago
Describe an algorithm that produces the maximum, me- dian, mean, and minimum of a set of three integers. (The median of a set of
zheka24 [161]

Answer

The mean of three numbers x1,x2,x3 can be obtained by a calculus. The first step of the algorithm is

1) mean(x1,x2,x3) = \frac{x1+x2+x3}{3}

In order to obtain the median, maximun and minumun of x1, x2 and x3, we can compare x1 and x2. The smaller of those numbers will be compared to x3 and, if x3 is even smaller, then x3 is the minimun, the other small number is the median, and the remaining number is the maximun. Otherwise, we compare x3 with the bigger number to find median and maximun. To summarize:

2) compare x1 with x2. The bigger of the two numbers will be called '<em>s</em>' (for  small) and the smaller will be called '<em>b</em>' (from big).

3) compare x3 with <em>s</em>. The smaller of this subset will be the minimun of the entire set of 3 elements.

4) Check if x3 is the minimun, in that case, <em>s </em>is the median, because <em>s</em> is between x3 and <em>b. </em>We also conclude that <em>b</em> is the maximun

5) if x3 in not the minimun, then compare it with <em>b.</em> The bigger element between the two of them will be the maximun of the set, and the smaller one will be the median.

I hope it helps you!

5 0
4 years ago
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