Answer:
D) 35 yards for $90.
Step-by-step explanation:
We have been given four options and we are asked to choose the option that represents the best deal.
Let us find the cost of per yard cloth for our given choices.
A.
Therefore, option A offers $4 per yard of cloth.
B.
Therefore, option B offers $3 per yard of cloth.
C.
Therefore, option C offers $2.75 per yard of cloth.
D.
Therefore, option D offers $2.57 per yard of cloth.
Since price offered by option D is less than other option D is the best deal.
Answer:
-11,3
Step-by-step explanation: using foil (x-2)(X+10)=x^2+8x-20
x^2+8x-20-13=13-13 X^2+8x-33=0 factoring you get (x+11)(x-3)=0 so x+11=0
x-3=0
x=-11,3
if you found this helpful please thank me
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.
A triangle can only have one hypotenuse. The other sides are called legs.
The hypotenuse is the longest side of a triangle.
Yes it is correct ( I have to make it 20 characters long)