HELP ASAP WILL AWARD BRAINLIEST ! find the product of the binomials f(x) and g(x). write your answer in standard form

y=x^2 -5x+4

Step-by-step explanation:

F(x)= -x+1

G(x)-x+4

(-x+1)(-x+4) = x^2 -4x-1x+4 = x^2-5x+4

Explanation:

The f(x) function goes through (0,1) and (1,0). It's slope is

m = (y2-y1)/(x2-x1)

m = (0-1)/(1-0)

m = -1

The y intercept is b = 1 because this is where the blue line crosses the y axis.

We go from y = mx+b to y = -1x+1, or simply y = -x+1.

So f(x) = -x+1

Through similar steps, you should find that g(x) = -x+4

Both f(x) and g(x) have the same slope, which makes them parallel lines.

Once we know what f(x) and g(x) are, we multiply them out like so:

f(x) * g(x) = ( f(x) ) * ( g(x) )

f(x) * g(x) = ( -x+1 ) * ( -x+4 )

f(x) * g(x) = w(-x+4) let w = -x+1

f(x) * g(x) = -xw + 4w ... distribute

f(x) * g(x) = -x( w ) + 4( w )

f(x) * g(x) = -x( -x+1 ) + 4( -x+1 ) ... plug in w = -x+1

f(x) * g(x) = x^2 - x - 4x + 4 ... distribute twice more

f(x) * g(x) = x^2 - 5x + 4

You could use the FOIL rule or box method as alternative routes to get this answer. I prefer the box method because the FOIL rule is only limited to multiplying binomials, while the box method allows you to multiply two polynomials of any length.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.