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kotegsom [21]
3 years ago
15

What is the answer please hurry this is to pass my class 10 points!!!

Mathematics
1 answer:
-BARSIC- [3]3 years ago
7 0

Answer:

The answer is A I suppose

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Which equation is y = –6x^2 + 3x + 2 rewritten in vertex form? y = negative 6 (x minus 1) squared + 8 y = negative 6 (x + one-fo
mart [117]

Answer:

y  = -6(x - \frac{1}{2})^2 -\frac{7}{2}

Step-by-step explanation:

Given:

y = -6x^2 + 3x + 2

Required

Rewrite in vertex form

The vertex form of an equation is in form of: y = a(x - h)^2+ k

Solving: y = -6x^2 + 3x + 2

Subtract 2 from both sides

y - 2 = -6x^2 + 3x + 2 - 2

y - 2 = -6x^2 + 3x

Factorize expression on the right hand side by dividing through by the coefficient of x²

y - 2 = -6(x^2 + \frac{3x}{-6})

y - 2 = -6(x^2 - \frac{3x}{6})

y - 2 = -6(x^2 - \frac{x}{2})

Get a perfect square of coefficient of x; then add to both sides

------------------------------------------------------------------------------------

<em>Rough work</em>

The coefficient of x is \frac{-1}{2}

It's square is (\frac{-1}{2})^2 = \frac{1}{4}

Adding inside the bracket of -6(x^2 - \frac{x}{2}) to give: -6(x^2 - \frac{x}{2} + \frac{1}{4})

To balance the equation, the same expression must be added to the other side of the equation;

Equivalent expression is: -6(\frac{1}{4})

------------------------------------------------------------------------------------

The expression becomes

y - 2 -6(\frac{1}{4})= -6(x^2 - \frac{x}{2} + \frac{1}{4})

y - 2 -\frac{6}{4}= -6(x^2 - \frac{x}{2} + \frac{1}{4})

y - 2 -\frac{3}{2}= -6(x^2 - \frac{x}{2} + \frac{1}{4})

Factorize the expression on the right hand side

y - 2 -\frac{3}{2}= -6(x - \frac{1}{2})^2

y - (2 +\frac{3}{2})= -6(x - \frac{1}{2})^2

y - (\frac{4+3}{2})= -6(x - \frac{1}{2})^2

y - (\frac{7}{2})= -6(x - \frac{1}{2})^2

y  +\frac{7}{2} = -6(x - \frac{1}{2})^2

Make y the subject of formula

y  = -6(x - \frac{1}{2})^2 -\frac{7}{2}

<em>Solved</em>

7 0
3 years ago
Read 2 more answers
Help. Please. Thanks.
Musya8 [376]
950 * .05 = $47.5
550 * .04 = $22

$47.5 + $22 = $69.50 interest earned

answer: amount in 4% account = $550
6 0
3 years ago
If ΔEFG ~ ΔLMN with a ratio of 2:1, which of the following is true?
strojnjashka [21]

Answer:

  segment EF over segment LM equals segment FG over segment MN

Step-by-step explanation:

The triangles are similar, not congruent, so any answer choice with the word "congruent" can be ignored.

The sequence of letters in the triangle name tells you the corresponding segments:

  • EF corresponds to LM
  • EG corresponds to LN
  • FG corresponds to MN

Corresponding segments have the same ratio, so ...

  EF/LM = FG/MN . . . . . . matches the first answer choice

  EF/LM = EG/LN . . . . does not match the 3rd answer choice

7 0
3 years ago
An airplane is loaded with cargo and ready to take off. Before it departs, an unknown number
Leto [7]

Answer:

b ≤ 50

Step-by-step explanation:

Since no more than 400 pounds of b number of 8 pound boxes can be taken off to ensure that the plane is in balance, this can be represented by the inequality:

8b ≤ 400

b ≤ 400/8

b ≤ 50

This means that a maximum number of 50 8 pounds boxes can be taken off the plane for a 600 pound crate to be put on ensuring that the plane is in balance.

8 0
3 years ago
A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackth
Anna11 [10]

Complete Question

A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthorn wand has a price of 45.20. What proportion of wand prices are lower than the price of the blackthorn wand? You may round your answer to four decimal places

Answer:

0.1151

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = $45.20

μ is the population mean = $50

σ is the population standard deviation = $4

We are solving for x < 45.20

Hence:

z = 45.20 - 50/4

z = -1.2

Probability value from Z-Table:

P(x<45.20) = 0.11507

Approximately to 4 decimal places = 0.1151

Therefore, the proportion of wand prices that are lower than the price of the blackthorn wand is 0.1151

8 0
3 years ago
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