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Alexeev081 [22]
4 years ago
7

The graph of a linear system is shown. What is the solution to this linear system.

Mathematics
1 answer:
vlabodo [156]4 years ago
4 0

Answer:

(-1,7)

Step-by-step explanation:

The solution is where both lines meet.

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Answer:

y = -2x + 5

Step-by-step explanation:

Slope-intercept form: y = mx + b

The slope of the line, m, is -2 because the line shows a negative trend and moves right 1 unit every time a point moves down 2 units.

The y-intercept, b, is 5 because the line crosses that number once on the y-axis.

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2 years ago
Solve the following equation for z.
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Step-by-step explanation:

6 - 4 = 2

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First, use the "completing the square" process to write this equation in the form (x + D)² = E. x² - 8 x + 12 = 0 is equivalent
Leni [432]

Answer:

D = -4

E = 2

Step-by-step explanation:

The procedure for completing the square method is given as:

x2 + bx + c = 0

x2 + bx = -c

x2 + bx + (b/2)2 = -c + (b/2)2

Aolving the LHS simultaneously,

(x + b)2 = -c + (b/2)2

Find the square root of both sides,

(x + b) = sqrt(-c + (b/2)2)

So for the equation, x2 - 8x + 12

x2 - 8x = -12

x2 - 8x + 16 = -12 + 16

(x - 4)2 = 4

So square root both sides,

(x - 4) = 2

Comparing this to the equation given,

(x - D) = E;

D = -4

E = 2

6 0
3 years ago
A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per
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Answer:

ANSWER 1: He should use 3 pounds of cashews.

ANSWER 2: He should use 7 pounds of peanuts.

Step-by-step explanation:

7 0
3 years ago
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