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3 years ago

15 minutes into decimal

Mathematics

1 answer:

prohojiy [21]3 years ago

3 0

the answer is 0.25

I got this out of mt textbook not to long ago

hope this helped

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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

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

Rough work

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

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

Solved

7 0

3 years ago

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Please Help!!! I am totally lost! Solve for x and find mangleABC.

kupik [55]

When something bisects an angle, it cuts that angle in half. This means that ray BD cuts angle ABC in half. Therefore, angle ABD, which is formed by cutting the angle in half, is equal to angle CBD, which is also formed by cutting the angle in half. Because of this, you have to set the equation equal to each other.

9x-18=5x+2

Combine like terms. Add 18 to both sides.

9x=5x+20

Combine like terms. Subtract 5x from both sides.

4x=20

Divide 4 on both sides.

x=5 degrees

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3 years ago

a chess player played 136 games total. If he won 56 of the games, what is the ratio of games he lost to games he won?

wolverine [178]

Answer:

80:56

Step-by-step explanation:

if you do 136-56, you get 80. therefore the number of games lost is 80. you already know he won 56, so the ratio is 80:56.

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2 years ago

HELP ASAP FOR BRAINLIEST

zaharov [31]

Answer:

6x2+8x−8

Step-by-step explanation:

6x3+26x2+16x−24

x+3

6x3+26x2+16x−24

x+3

2(x+2)(x+3)(3x−2)

x+3

6x2+8x−8

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2 years ago

The first number in a pattern is 8 .Each following number is found by subtracting 9 from the previous number. What is the fifth

Tom [10]

Answer:

poop sock

Step-by-step explanation:

poop sock

7 0

3 years ago

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