Answer:
Quotient ( x² -4x +10)
Reminder -2
Step-by-step explanation:
We have to consider the polynomial function g(x) = x³ - 3x² + 6x + 8
Now, we have to divide g(x) by (x+1)
Let us arrange the terms of g(x) to get (x+1) as common.
x³ - 3x² + 6x + 8
= x³ +x² -4x² -4x +10x +10 -2
= x² (x +1) -4x (x +1) +10 (x +1) -2
= (x +1)( x² -4x +10) -2
Hence, if we divide g(x) by (x +1) then the quotient will be ( x² -4x +10) and the reminder will be -2. (Answer)
Answer:
y = mx + b is slope-intercept form of the linear equation.
y - y1 = m(x - x1) is point-slope form of the linear equation.
Ax + By = C (A ≥ 0) is standard form of the linear equation.
~~~~~~~~~~~
....
1
y – 5 = —— (x + 1)
3
1 1
y = —— x + —— + 5
3 3
1 16
(1) y = —— x + ——
3 3
Step-by-step explanation:
Answer:
20 days
Step-by-step explanation:
899- 225= 674
674÷ 35= 19.257....
which you would round it up to 20 because he would have to work the extra day because you need more than less.
<span>If f(x) = 2x + 3 and g(x) = (x - 3)/2,
what is the value of f[g(-5)]?
f[g(-5)] means substitute -5 for x in the right side of g(x),
simplify, then substitute what you get for x in the right
side of f(x), then simplify.
It's a "double substitution".
To find f[g(-5)], work it from the inside out.
In f[g(-5)], do only the inside part first.
In this case the inside part if the red part g(-5)
g(-5) means to substitute -5 for x in
g(x) = (x - 3)/2
So we take out the x's and we have
g( ) = ( - 3)/2
Now we put -5's where we took out the x's, and we now
have
g(-5) = (-5 - 3)/2
Then we simplify:
g(-5) = (-8)/2
g(-5) = -4
Now we have the g(-5)]
f[g(-5)]
means to substitute g(-5) for x in
f[x] = 2x + 3
So we take out the x's and we have
f[ ] = 2[ ] + 3
Now we put g(-5)'s where we took out the x's, and we
now have
f[g(-5)] = 2[g(-5)] + 3
But we have now found that g(-5) = -4, we can put
that in place of the g(-5)'s and we get
f[g(-5)] = f[-4]
But then
f(-4) means to substitute -4 for x in
f(x) = 2x + 3
so
f(-4) = 2(-4) + 3
then we simplify
f(-4) = -8 + 3
f(-4) = -5
So
f[g(-5)] = f(-4) = -5</span>
