I don't know what you are talking about please re word the question its really hard to understand what your asking.
Step-by-step explanation:
step 1. if k is a zero then (x - 1) is a factor of 4x^3 + 23x^2 - 34x + 7.
step 2. we "can" use long division but synthetic division is easier!
step 3. 1 4 23 -34 7
4. 4. 27. -7.
4 27. -7. 0 (must get 0)
step 4. so the factors are (x - 1)(4x^2 + 27x - 7).
step 5. please note if you multiply these factors together you will get the original polynomial!
Answer:
14b
Step-by-step explanation:
2×7=14
Just put the "b" after 14
Answer:
First brand = 18 gallons
Second brand = 12 gallons
Step-by-step explanation:
Let the first brand brand be A and the second brand be B.
Thus, since he wants to obtain 30 gallons of a mixture that contains 30% pure antifreeze, then we have;
A + B = 30 - - - (eq 1)
Also; The first brand is 20% pure antifreeze, and the second brand is 45% pure antifreeze. Thus;
0.2A + 0.45B = (0.3 × 30)
0.2A + 0.45B = 9 - - - (eq 2)
From eq 1, we have; A = 30 - B
Put 30 - B for A in eq 2;
0.2(30 - B) + 0.45B = 9
6 - 0.2B + 0.45B = 9
0.25B = 9 - 6
0.25B = 3
B = 3/0.25
B = 12
Thus, A = 30 - 12 = 18 gallons
