Frank worked 48 hours this week. He gets paid $18 per hour for the first 40 hours and then

Mathematics

1 answer:

EastWind [94]2 years ago

4 0

Frank made roughly around $792 in total this week

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Let a and b be real numbers satisfying a^3 - 3ab^2 = 47 and b^3 - 3a^2 b = 52. Find a^2 + b^2.

boyakko [2]

Answer: a²+b² = -99/2

Step-by-step explanation:

Since we are given two equations, this equations will be solved simultaneously to get a² and b²

a³ - 3ab² = 47 ... 1

b³ - 3a² b = 52... 2

From 1, a(a² - 3b²) = 47...3

From 2, b(b² - 3a²) = 52... 4

Adding 3 and 4, we have;

a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)

a²+b²-(3b²+3a²) = 99

(a²+b²) -3(b²+a²)= 99

Taking the difference we have

- 2(a²+b²) = 99

a²+b² = -99/2

8 0

3 years ago

Find the sum of the given polynomials. ax + by + c, 2ax - 3by + c, and by - c

Sedbober [7]

The answer is 3ax -by + c hope this helps

4 0

3 years ago

Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the g

kati45 [8]

Answer:

Option: D is correct.

Step-by-step explanation:

since we are given a inequality as:

$y$

Clearly from the graph of the following inequality we could see that the origin is included in the shaded region and the shaded area is below the line.

Also it could be seen that if we put the origin points i.e. (0,0) in the inequality than 0<2 and the condition is true and hence origin is included in the shaded area.

Hence, option D is true.