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galben [10]
2 years ago
9

Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 − 12x − 2

Mathematics
1 answer:
ad-work [718]2 years ago
5 0

Answer:

The minimum value = -38

Step-by-step explanation:

∵ f(x) = x² - 12x - 2

∵ -12x ÷ 2 = -6x ⇒ -6 × x

∴ (x - 6)² = x² - 12x + 36

∴ Add and subtract 36 in f(x)

∴ f(x) = (x² - 12x + 36) - 36 - 2

∴ f(x) = (x - 6)² - 38 ⇒ completing square

∴ The vertex of the parabola is (6 , -38)

∵ Its minimum point because the coefficient of x² is positive

∴ The minimum value = -38

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Solve the simultaneous equations<br> y = 2x^2<br> y = 3x + 14
Mekhanik [1.2K]

Answer:

x = -2

And, x = 7 ÷ 2

Step-by-step explanation:

Given that

y = 2x^2

y = 3x + 14

Now equate these two above equations

2x^2 = 3x + 14

2x^2 - 3x - 14

2x^2 -7x + 4x - 14

x(2x - 7) + 2(2x - 7)

(x + 2) (2x - 7)

So it can be x = -2

And, x = 7 ÷ 2

3 0
3 years ago
A triangular sail has base of 4 feet and a height of 5 1/2 feet. What is the area of the sail?
Step2247 [10]
Area of a triangle: (1/2)bh, where b = base and h = height

(1/2) x 4 x (11/2) 
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4 0
2 years ago
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$46 shoes; 2.9% tax some one please help me and i'm new in this site
ZanzabumX [31]
If you would like to know the value of the 2.9% tax, you can calculate this using the following steps:

2.9% tax of $46 shoes = 2.9% * 46 = 2.9/100 * 46 = $1.334

If you would like to know what is the whole price you have to pay for the shoes (including the tax), you have to add $46 and $1.334:

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8 0
3 years ago
What is 3/4-5/8?<br> ? Give your answer in its simplest form.
Setler79 [48]

Answer:

1 over 8

1

8

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Step-by-step explanation:

8 0
2 years ago
1/5k + 15 factor out the coefficient!
skelet666 [1.2K]
1/5k+ 15
= 1/5k+ 15* (5/5) (because 5/5= 1)
= 1/5k+ (15*5)/ 5
= 1/5k+ 75/5
= 1/5k+ 75* (1/5)
= 1/5(k+ 75) (distributive property)

The final answer is 1/5(k+ 75).
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3 years ago
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