For what value of x is the rational expression below equal to zero 20+2x/5-x

Answers

Answer 1

Answer: $(20+2x)/(5-x)=0;\ \ \ \ D:x\neq5\n\n(20+2x)/(5-x)=0\iff20+2x=0\n\n2x=-20\ \ \ \ /:2\n\nx=-10\in D$

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Sheila had a piece of rope that was 62.41 centimeters long. She cut pieces 8.95, 3.17, and39.77 centimeters long from the rope. How many centimeters of the rope did Sheila have left?

Answers

Answer:

10.82 cm

Step-by-step explanation:

Which of the following comparisons is false 4 liters=1 gallon 1 foot=1 meter 25 grams 1 ounce 10 kilometers = 9 miles

Answers

1 foot does not equal 1 metre

1 fool = 1 meter is incorrect

Graph the equation x-y=6

Answers

$x-y=6\n\nThe\ slope-intercept\ form:y=mx+b\n\n-y=-x+6\ny=x-6\n\ny-intercept\ (x=0)\ny=0-6=-6\n(0;-6)\n\nx-intercept\ (y=0)\n-x+6=0\nx=6\n(6;\ 0)$

x-y-6=0 is the standard form you can graph this by using the y-x intercept form
x-intercept y=0
x-6=0
x=6
y-intercept, x=0
-y-6=0
-y=6
y=-6
therefore you can plot points on (0,-6) and (6,0) ad connect them together

Unknown g (x) = ax + b and g (g (x)) = 16x - 15. Calculate the value of a and b.

Answers

g(g(x))=16x-15
means that when you subsituted g(x) for x in g(x), you got 16x-15

a(ax+b)+b=16x-15
distribute
xa^2+ab+b=16x-15d
we look at the x terms
therefor
xa^2=16x
a^2=16
a=-4 or 4
we will find out

look a constant terms
ab+b=-15
undistribute b
b(a+1)=-15

if a is -4 then
b(-4+1)=-15
b(-3)=-15
b=5

if a=4 then
b(4+1)=-15
b(5)=-15
b=-3

so
g(x)=-4x+5 or
g(x)=4x-3

if a=-4, b=5
if a=4, b=-3

What is the equivalent function in standard form of y=(x+5)(x+1)

Answers

FOIL (x+5) and (x+1)

x^2+x+5x+5
(Combine like terms)

y= x^2+6x+5

The formula P = ns gives the formula for the perimeter of a regular polygon with n sides and side length s.What is the length of each side of a regular octagon with a perimeter of 54.4 cm? A regular octagon has 8 equal sides.

Answers

P= 54.4
n=8
s=?
Divide P(54.4) by n(8) and you get s(6.8).

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