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ladessa [460]
3 years ago
9

Show all steps when completing the square to solve 2x^2 - 4x - 5 = 25

Mathematics
1 answer:
aleksley [76]3 years ago
8 0

Answer:

x = 5, -3

Step-by-step explanation:

2x² - 4x - 5 = 25

add 5 to each side

2x² - 4x = 30

factor out the 2

2(x² - 2x) = 30

divide both sides by 2

x² - 2x = 15

divide b by 2, square it -- (b/2)², and add it to both sides

-2/2 = -1 → -1² = 1

x² - 2x + 1 = 15 + 1

factor the expression on the left -- this will be [x - (b/2)]²

(x - 1)² = 16

find the square root of both sides

x - 1 = ±4

add 1 to both sides

x = 4 + 1

x = -4 + 1

solve

x = 5, -3

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When the Defense Department ordered 132 new airplanes, the cost per plane was estimated to be $580 million. A cut in the order t
aliina [53]

Answer:

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

Step-by-step explanation:

Assuming the following options we analyze one by one to select the correct one

A. A move to minimum efficient scale

By definition the minimum efficient scale (MES) or efficient scale of production is "the lowest point where the plant can produce such that its long run average costs are minimized" but thats not the case since the department order new planes and the costs are not minimized .

B. The law of diminishing returns

The law of diminishing marginal returns says that "at some point, adding an additional factor of production results in smaller increases in output" but that's not the case since we don't have smaller increases in output.

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

D. An increase in fixed cost

That's False since on this case we don't have a fixed cost, the cost on this case depend on the size of the order.

4 0
2 years ago
What is the product of the two binomial below
Svetach [21]
This is a difference of squares, meaning that when you multiply the binomials it would be the front term squared minus the last term squared.

The front term squared = (3A) squared = 9A squared
The last term squared = (4B) squared = 16B squared

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4 0
3 years ago
What's the solution to the equation x/3 + x/6 = 7/2
marta [7]

Step-by-step explanation:

x/3+x/6=7/2

We simplify the equation to the form, which is simple to understand

x/3+x/6=7/2

Simplifying:

+ 0.333333333333x+x/6=7/2

Simplifying:

+ 0.333333333333x + 0.166666666667x=7/2

Simplifying:

+ 0.333333333333x + 0.166666666667x=+3.5

We move all terms containing x to the left and all other terms to the right.

+ 0.333333333333x + 0.166666666667x=+3.5

We simplify left and right side of the equation.

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We divide both sides of the equation by 0.5 to get x.

x=7

4 0
2 years ago
Read 2 more answers
Help this is due today
kherson [118]

Answer:

9) 844cm^2 10) 15,000in^3 11) 240cm^3 12) 480in^3

Step-by-step explanation:

9) A= 200 A=160 A=192 A=192 A=100

200+160= 360+192= 552+192= 744+100=844cm^2

for #9 i divided the figure into 5 parts and got the area of each one and added all of the totally areas to get the final answer

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12) 12*10= 120*4= 480in^3

4 0
3 years ago
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Answer:

Step-by-step explanation:

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