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3 years ago

Factor the expression completely -15t-6

Mathematics

1 answer:

serg [7]3 years ago

6 0

Answer:

$\large\boxed{-15t-6=-3(5t+2)}$

Step-by-step explanation:

$-15t-6=(-3)(5t)+(-3)(2)=-3(5t+2)$

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Can someone explain and answer this question? ( brainliest )

kvv77 [185]

Answer:

40/12 & 3 1/3

Step-by-step explanation:

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2 years ago

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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: $-6(\frac{1}{4})$

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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

4 years ago

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Which set(s) of points show x in DIRECT PROPORTION to y? A) {E, C, B} only B) {G, C, A} only C) {F, E, D} and {E, C, B} only D)

polet [3.4K]

Answer:{F, G, H} and {G, C, A} only

Step-by-step explanation:

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3 years ago

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An ornithologist has 4 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders.

Marianna [84]

Answer:

the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Feeder 1 2 3 4

Observed visits; $o_i$ 60 90 92 58

data sample = 300

Expected $e_i$ = 300 / 4 = 75

the x² test statistic = ?

$X^2_{stat$ = ∑[ ( $o_i$ - $e_i$ )²/ $e_i$ ]

$X^2_{stat$ = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]

$X^2_{stat$ = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]

$X^2_{stat$ = 13.7066 ≈ 13.71

Therefore, the x² test statistic 13.71

Option a) 13.71 is the correct answer.

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3 years ago

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Answer:

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Step-by-step explanation:

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