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boyakko [2]
3 years ago
11

Y = 2(x – 3)2 - 4 Convert to standard form

Mathematics
2 answers:
Klio2033 [76]3 years ago
8 0

Answer:

y = 2x² - 12x + 14

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

y = 2(x - 3)² - 4 ← expand (x - 3)² using FOIL

  = 2(x² - 6x + 9) - 4 ← distribute parenthesis

  = 2x² - 12x + 18 - 4

y  = 2x² - 12x + 14 ← in standard form

Artist 52 [7]3 years ago
3 0

Answer:

4x - y = 16

Step-by-step explanation:

y = 2(x – 3)2 - 4

When written in standard form, this will be the answer --->

4x - y = 16

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-6 + k = -14 how to I solve that?
abruzzese [7]

Answer:

k = -8

Step-by-step explanation:

Step 1:  Add 6 to both sides

-6 + k + 6 = -14 + 6

k = -8

Answer:  k = -8

8 0
3 years ago
Read 2 more answers
Which statement about the angle measures is true?
sattari [20]

Answer:

Option (4)

Step-by-step explanation:

By the property of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles."

In the triangle ABC,

∠ACD is an exterior angle and ∠BAC and ∠ABC are the opposite interior angles.

m∠ACD = m∠BAC + m∠ABC

95° = m∠BAC + m∠ABC

Therefore, Option (4) will be the correct option.

5 0
4 years ago
On a multiple choice test with 15 ​questions, each question has four possible​ answers, one of which is correct. For students wh
Aleks [24]

Answer:

The variance for the number of correct answers is 2.8 questions

Step-by-step explanation:

The number of correct answers follows binomial distribution, in which we have:

  • n identical and independents events: the 15 questions
  • two possibles results that we call success and fail: The answer is correct and the answer is incorrect
  • probability p of success and 1-p of fail. Probability 1/4 of get the answer correct and probability of 3/4 of get the answer incorrect. This probabilities are calculated on that way because every question have 4 possible answers and one of which is correct.

So, the variance for a variable x that follows a Binomial distributions is:

V(x)=n*p*(1-p)

Then, the variance for the number of correct answers is:

V(x)=15*(1/4)*(3/4) = 2.8125 ≈ 2.8

Because n is equal to 15, p is equal to 1/4 and (1-p) is equal to 3/4.

5 0
4 years ago
Which number(s) are 6 units from zero on a number line?<br><br> -6<br> 12<br> 6<br> 3
Amiraneli [1.4K]

Answer: 6 and -6


Step-by-step explanation:

6 Is the distance from zero, since distance cannot be negative, it does not matter if we go left or right on the number line, it will still be 6 units away from zero.

6 0
4 years ago
Giving 25 points and brainliest for this! Please answer correctly if you know it!
AlladinOne [14]

Answer:

The formula to calculate APY is (1 + (i/n))^n - 1

where i is the interest rate and n is the number of compounding periods.

Monthly APY = (1 +(0.055/12)^12 -1

APY = 0.0564 = 5.64%

Quarterly APY =  (1 +(0.055/4)^4 -1

APY = 0.0561 = 5.61%

Difference = 5.64 - 5.61 = 0.03% more when compounded monthly.

The APY is more when compounded monthly, because there are more compound periods.

8 0
3 years ago
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