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Monica [59]
2 years ago
5

Solve the quadratic function by completing the square. What are the missing pieces in the steps?

Mathematics
1 answer:
lubasha [3.4K]2 years ago
7 0

Answer:

Step-by-step explanation:

Given quadratic equation is,

-32 = 2(x² + 10x)

-32 + 50 = 2(x² + 10x + 25)

18 = 2(x + 5)²

9 = (x + 5)²

± 3 = (x + 5)

x = -2 or x = -8

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A plane takes off and climbs steadily gor 30 minutes until it reaches 35,000 feet. It travels at that altitude for 2 hours until
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This is a function where:
x - time in minutes;
y = f ( x ) - altitude of a plane in feet.
Max altitude = 35,000 feet
0.5 h + 2 h + 15 min = 30 min + 120 min + 15 min = 165 min
Domain:
x ∈ [ 0;  165 ]
Range:
y ∈ [ 0;  35,000 ]
6 0
3 years ago
A student has taken three math tests so far this semester His scores for the first three tests were 76, 80, and 84
Charra [1.4K]

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3 years ago
Can someone help me i keep getting different answer!!
spayn [35]

Answer:

The second option: 3 (6 - 5n)/20n

Step-by-step explanation:

Make sure all fractions have a common denominator:

Step 1. Find a common multiple between all three denominators

5, 4, and 10 all have a common multiple of 20. Proof: 5 × 4 = 20, 4 × 5 = 20, and 10 × 2 = 20

Step 2. Multiply the denominators to get to 20. Whatever you do to the bottom (denominator) must be done to the top (numerator).

1/5n × 4/4 = 4/20n

3/4 × 5n/5n = 15n/20n

7/10n × 2/2 = 14/20n

Your fractions now all have a common denominator of 20n.

Rewrite the equation using the new fractions:

4/20n - 15n/20n + 14/20n

Only focus on adding/subtracting the numerators; the denominators will stay the same: 20n.

(4 - 15n + 14)/20n

Combine like terms:

(18 - 15n)/20n

Factor out any numbers possible:

3(6 - 5n)/20n

Note* 3 go into both 18 and 15, which allows us to factor 3 out. 18 ÷ 3 = 6 and 15 ÷ 3 = 5, giving us our new numbers inside the parentheses.

6 0
3 years ago
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains
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So 5 liters of natural for every 7 synthetic, so 5 / 12 liters are natural oil.

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Hope this helps!
7 0
2 years ago
True or False: If we have an integer primal solution with cost C and a fractional dual solution with cost at least C/2, the size
maria [59]

Answer:

True

Step-by-step explanation:

The size of the vertex cover is atleast twice the size of the maximum edge. Vertex must contain atleast one vertex from the matched edge. Vertex are never the strong dual solutions of each other.

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3 years ago
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