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3 years ago

Consider the following pair of equations:

Mathematics

2 answers:

Anarel [89]3 years ago

4 0

y=-2x+8 y=x-1

+2x +2x

y=8 y=3x-1

+1 +1

y=9 y=3x

/3 /3

3 x

therefore x=3

Romashka-Z-Leto [24]3 years ago

4 0

From both the equations we get,
x - 1 = - 2x + 8
x + 2x = 8 + 1
  3x = 9
x = 9 / 3
  x = 3.

So putting the value of x in the 2nd equation we get,
y = 3 - 1
     y = 2.

So, (x,y) = (3,2) .

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3 years ago

Read 2 more answers

(( I will give 20 points and brainy for right answers (Please answer all!!) CORRECTLY!!))

Gekata [30.6K]

Problem 1.
Think of the outer rectangle by joining the two 5 in. sides with a segment.
Now you have an outer blue rectangle with a white rectangle missing.
For the outer rectangle:
The top and bottom sides measure 28 in.
The left and right sides measure 5 in. + 12 in. + 5 in. = 22 in.
Area of the outer rectangle = LW = 28 in. * 22 in. = 616 in.^2
Now look at the white square. You need to subtract this area from the outer rectangle.
area of white rectangle = LW = 12 in. * 15 in. = 180 in.^2

Subtract the areas:
616 in.^2 - 180 in.^2 = 436 in.^2

Answer:
A. 436 Square Inches

Problem 2.
Do the same thing as for problem 1. Join the two 4 in. segments with a line.

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The top and bottom sides measure 24 in.
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Area of the outer rectangle = LW = 24 in. * 20 in. = 480 in.^2
Now look at the white square. You need to subtract this area from the outer rectangle.
area of white rectangle = LW = 12 in. * 13 in. = 156 in.^2

Subtract the areas:
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4 years ago

Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p

nekit [7.7K]

Answer:

Required inequality is $4800+183x>8000$ .

Step-by-step explanation:

Given that Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.

Calculation is given by:

Salary per year = $4,800

Average price of a policy = $6,100.

commission on her sales = 3%

Then commission on $6,100 = 3% of $6,100 = 0.03 ($6,100) = $183

Let number of policies Mrs. Robinson must sell to make an annual income of at least $8,000 = x

then total commission on x policies = 183x

Total income using x policies = 4800+183x

Since she wants to make an annual income of at least $8,000. so we can write inequality as:

$4800+183x>8000$

Hence required inequality is $4800+183x>8000$ .

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3 years ago