Question

Which linear function represents the line given by the point-slope equation y + 7 = –y plus 7 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 6 right-parenthesis.(x + 6)?
f(x) = –f(x) equals negative StartFraction 2 Over 3 EndFraction x minus 11.x – 11
f(x) = –f(x) equals negative StartFraction 2 Over 3 EndFraction x minus 1.x – 1
f(x) = –f(x) equals negative StartFraction 2 Over 3 EndFraction x plus 3.x + 3
f(x) = –f(x) equals negative StartFraction 2 Over 3 EndFraction x plus 13.x + 13

Answer 1

Answer:

Negative Start Fraction 2 Over 3 End Fraction x minus 11

$f(x)=-\frac{2}{3}x-11$

Step-by-step explanation:

we have

$y+7=-\frac{2}{3}(x+6)$

Convert to slope intercept form

$y=mx+b$

Solve for y

That means -----> Isolate the variable y

Distribute in the right side

$y+7=-\frac{2}{3}x-\frac{2}{3}(6)$

$y+7=-\frac{2}{3}x-4$

subtract 7 both sides

$y=-\frac{2}{3}x-4-7$

$y=-\frac{2}{3}x-11$

Convert to function notation

Let

f(x)=y

$f(x)=-\frac{2}{3}x-11$

therefore

The linear function is

Negative Start Fraction 2 Over 3 End Fraction x minus 11

Answer 2

Answer:

The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus StartFraction 3 Over 8 EndFraction

Step-by-step explanation:

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