The largest frog in the world is the goliath, found in west africa. It can grow to be 12 inches long. The smalest in the world is about 2.5 as long as the goliath . About how long is the smallest frog in the world

4.8 inches

Step-by-step explanation:

Given: The largest frog in the world is goliath which is 12 inches long.

           The smallest frog is about 2.5 as long as the goliath.

Lets assume the length of smallest frog be "x".

As given, smallest frog is about 2.5 as long as the goliath.

∴ we can form equation as

Solving the equation to find the value of x

Dividing both side by 2.5

⇒

∴

Hence, the length of smallest frog is 4.8 inches.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.