Answer:
whats the answer?
Step-by-step explanation:
For the answer to the question above, the constant is called the coefficient of proportionality orproportionality constant. If one variable is always the product of the other and a constant, the two are said to be directly proportional. x and y are directly proportional if the ratio yx is constant<span>.
the answer is 1.1</span>
Answer:
(a) (a² +3a -1)(a² -3a -1)
Step-by-step explanation:
The constant term of the product of the factors will be equal to the product of their constants. Since you want that product to be +1, the signs of the factor constants must be the same. That eliminates choices (c) and (d).
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To tell which of choices (a) and (b) is correct, we can compute the squared term in their product. Let's do it in a generic way, with the constant (±1) being represented by "c".
We want the a² term in the product ...
(a² +3a +c)(a² -3a +c)
That term will be the result of multiplying both sets of first and last terms, and adding the product of the middle terms:
(a²·c) +(a²·c) -9a² = a²(2c-9)
So, we want the factor (2c-9) to be -11, which means c=-1, not +1.
The correct factorization of the given expression is ...
(a² +3a -1)(a² -3a -1) . . . . matches choice A
Answer:
Step-by-step explanation:
You want to begin by making each fraction have the same common denominator. The LCF (least common factor) is 77. So, knowing this, we can now multiply the fractions that need to have a denominator of 77.
1. 5/7*11/11=55/77
2. 9/11 * 7/7 =63/77
Now we can add
55/77 + 63/77 + 21/77 = 139/77 or 1.805194805
9514 1404 393
Answer:
a) (-1, 2)
b) (-4, -1)
c) (2, 5)
Step-by-step explanation:
a) "Increasing" means points to the right are higher. This is the case for points in the interval from x = -1 to x = 2. In interval notation, the function is increasing in (-1, 2).
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b) "Decreasing" means points to the right are lower. This is the case for points in the interval from x = -4 to x = -1. In interval notation, the function is decreasing in (-4, -1).
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c) "Constant" means points to the right have the same value. This is the case for points in the interval from x = 2 to x = 5 (or higher). In interval notation, the function is constant in (2, 5).
