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3 years ago

Which expression is equivalent to 8-(6r+2) a -6r+6 b 2r+2 c 6r+10 d -6=10

Mathematics

1 answer:

dybincka [34]3 years ago

3 0

Answer:

a -6r+6

Step-by-step explanation:

$8-(6r+2)$

Use - to expand the bracket

$8-6r-2$

Group like terms and simplify

$-6r-2+8\\\\-6r+6$

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maxonik [38]

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3 years ago

Write an equivalent equation that does not contain fractions 2/3 x + 9 equals 3/4

AlekseyPX

Answer:

8x + 108 = 9

Step-by-step explanation:

Given

$\frac{2}{3}$ x + 9 = $\frac{3}{4}$

Multiply through by the lowest common multiple of 3 and 4, that is 12 to clear the fractions.

8x + 108 = 9 ← equivalent equation with no fractions

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3 years ago

Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

melisa1 [442]

Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ 7x -1$

The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{7}{2}$

$(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}$

Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

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3 years ago

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