1/4 × 1/2 multiply 1/2 by 2 to get 2/4 then add 1/4 and 2/4 ur answer 3/4 the fraction of all the cookies that is peanut butter is 3/4
Solution: The factor form of the given polynomial is
.
Explanation:
To find the factor form of the given polynomial fisrt find the random value of x for which the vlaue of f(x) is 0.
The value of the function f(x) is 0 for
, therefore
is a factor of given function.
Use synthetic method to divide the given polynomial for by
. Write coefficients of polynomial in top line and -1 on left side of the line. Write first element in bottom line then multiply it by -1 and write it in second line below the element second element and the add. The division by synthetic method is given in figure 1.
The bottom line shows the coefficients of the quotient polynomial.
So 
Similarly
is the factor of given polynomial because for x=-2 the value of parenthesis polynomial is 0.
Use synthetic method to divide the parenthesis polynomial for by
. it is shown in figure 2.
So

Hence the factor form of the given polynomial is
. The graph of the given function is given in figure 3.
Answer:
34 years
Step-by-step explanation:
f = s + 28 Eq. 1
f+8 = 3(s+8) Eq. 2
f = father age
s = son age
replacing Eq. 1 on Eq. 2
(s+28) + 8 = 3(s+8)
s + 36 = 3*s + 3*8
s + 36 = 3s + 24
36 - 24 = 3s - s
12 = 2s
12/2 = s
s = 6
from the Eq. 1
f = 6 + 28
f = 34
Check
from the Eq. 2
34+8 = 3(6+8)
42 = 3*14
Answer:
An equation is 92 + 2x = 180.
The congruent angles each measure 44°.
Step-by-step explanation:
1. If two angles in a triangle are congruent and unknown, we can represent that as 2x. That means 92 + 2x = 180.
2. To find the measure of each congruent angle, x, we have to solve the equation above.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 92 from both sides.
Step 3: Divide both sides by 2.
x = 44 means that the congruent angles each measure 44°.