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Dominik [7]
2 years ago
7

Which graph shows the solution to the system of linear inequalities below?

Mathematics
2 answers:
hodyreva [135]2 years ago
7 0

Answer:

Option B

The solution in the attached figure

Step-by-step explanation:

we have

<em>Inequality A</em>

y > -\frac{1}{3}x+1

we know that

The solution of the inequality A is the shaded area above the dashed line

The equation of the dashed line is y=-\frac{1}{3}x+1

The slope of the dashed line is negative m=-\frac{1}{3}

<em>Inequality B</em>

y > 2x-1

we know that

The solution of the inequality B is the shaded area above the dashed line

The equation of the dashed line is y=2x-1

The slope of the dashed line is positive m=2

therefore

The solution in the attached figure

Vikentia [17]2 years ago
6 0
<h2>Answer:</h2>

The correct graph is:

                Graph B

<h2>Step-by-step explanation:</h2>

First inequality is given by:

             y>\dfrac{-1}{3}x+1

The inequality is a straight line that passes through (0,1) and (3,0) and also the line is dotted since the inequality is strict.

The shaded region is away from the origin since the inequality does not pass the zero point test.

Second inequality is given by:

            y>2x-1

The graph of this inequality is a dotted line (since the inequality is strict) and passes through (0,-1) and (1/2,0) and the shaded region is towards the origin

( since the line passes the zero point test )

Graph B represents the system of inequality.

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Masja [62]

Answer:

One number is 17 and the other is 85.

Step-by-step explanation:

Let the numbers be m and n.  Let m = (1/5)n.  Note that m+n = 18.

Substituting (1/5)n for m in the 2nd equation, we get (1/5)n + (5/5)n = 18.  Multiplying all three terms by 5 to remove fractions, we get n + 5 = 90, so that n = 85.  m is (1/5) of 85, or m = 17.

8 0
2 years ago
The student council sold jars of mixed nuts at their bazaar they were given 40 empty jars. They paid $19.60 for the nuts and $11
Alex Ar [27]

Answer:

\$1.75

Step-by-step explanation:

Total amount paid for the nuts is $19.60

Total amount paid for the ribbons is $11.20

Profit made on each jar is 98¢= $0.98

Cost price of the nuts and ribbon for the 40 jars is 19.6+11.2=\$30.8

Cost price for nuts and ribbonn for one jar = \dfrac{30.8}{40}=\$0.77

Selling price is the sum of the cost price and profit.

Selling price for one jar = 0.77+0.98=\$1.75

They charged \$1.75 for each jar.

3 0
2 years ago
A page was missing from a 72 - page book. When Josh added up the remaining page numbers, the sum was 2521. Which page was missin
morpeh [17]
The numbers 1 to 72 add up to (1+72) x 72/2 = 73 x 36 = 2628
If we take away what Josh got we have 2628 - 2521 = 107
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107 / 2 = 53.5 so the missing page had 53 on one side and 54 on the other side.
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Step-by-step explanation:

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Answer:

C

Step-by-step explanation:

y=(2x-3)/5

5y=2x-3

(5y+3)/2=x

(5x+3)/2=y

f^{-1}(x)=(5x+3)/2

8 0
3 years ago
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