Answer:
14 you welcome
Step-by-step explanation:
Answer:
a = 2/27
b = 13/27
Step-by-step explanation:
The given polynomial is presented as follows;
f(x) = a·x³ + b·x² + x + 2/3
Given that x + 3 is a factor, we have;
f(-3) = 0 = a·(-3)³ + b·(-3)² - 3 +2/3 = 0
-27·a + 9·b - 3 + 2/3 = 0
-27·a + 9·b = 7/3........(1)
Also we have
(a·x³ + b·x² + x + 2/3) ÷ (x + 2) the remainder = 5
Therefore;
a·(-2)³ + b·(-2)² + (-2) + 2/3 = 5
-8·a + 4·b - 2 + 2/3 = 5
-8·a + 4·b = 2 - 2/3 = 4/3........(2)
Multiplying equation (1) by 4/9 and subtracting it from equation (2), we have;
-8·a + 4·b - 4/9×(-27·a + 9·b) = 4/3 - 4/9 × 7/3
-8·a + 12·a = 8/27
4·a = 8/27
a = 2/27 ≈ 0.0741
imputing the a value in equation (1) gives;
-27×2/27 + 9·b = 7/3
-2 + 9·b = 7/3
9·b = 7/3 + 2 = 13/3
b = 13/27 ≈ 0.481.
Answer: 75% off
Step-by-step explanation:
Your first sweater is the full 100% of the cost. The second it only 50 percent. If you add these to find out how many percent you will pay which is 150 for both. If you were to divide by 2 you get 75 percent off each sweater. The first sweater is $48 the second you multiply by .5 (as its 50 percent off ) and the cost is $24 dollars. 48 plus 24 is 72 then that divided by 2 is 36. Now 36$ is the price per sweater. 36/48 or 3/4 (which is 75%)
The answer is (c) (sorry adding extra characters so brainly can exept it.)
Answer:
Each hiker receives 7 ounces of trail mix
Step-by-step explanation:
Trail mix=quantity of peanuts+quantity of raisins+quantity of walnuts+quantity of chocolate chips
where;
Quantity of peanuts=1.25 pounds
Quantity of raisins=14 oz, since 1 pound=16 oz.
Quantity of raisins=(14/16)=0.875 pounds
Quantity of walnuts=12 oz=(12/16)=0.75 pounds
Quantity of chocolate chips=10 oz=(10/16)=0.625 pounds
Replacing;
Trail mix=(1.25+0.875+0.75+0.625)=3.5 pounds
Trail mix=Quantity per hiker×Number of hikers
where;
Trail mix=3.5 pounds
Quantity per hiker=q
Number of hikers=8
Replacing;
3.5=q×8
q=3.5/8=0.4375 pounds
I pound=16 ounces
q=0.4375×16=7 ounces
Each hiker receives 7 ounces of trail mix
