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zzz [600]
3 years ago
12

A Bus left Westwick at 0936 and arrived at Plimpton at 2105. How long did the journey take?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

Answer: 11 hours and 29 min

Step-by-step explanation:

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Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the following conditions.
frosja888 [35]

Answer:

The polynomial will be f(x) = \frac{4}{9}x(x - 2)^{2}.

Step-by-step explanation:

The three degree polynomial function f(x) has zeros at x = 0 and at x = 4 having multiplicity 2.

Therefore, (x - 0) and (x - 4)² will be factors of the polynomial f(x).

Hence, the polynomial will be f(x) = Ax(x - 4)² .............. (1), where A is any constant that we have to evaluate.

Now, given that f(5) = 20

So, from the equation (1) we have

20 = A(5)(5 - 2)²

⇒ A = \frac{4}{9}

Therefore, the polynomial will be f(x) = \frac{4}{9}x(x - 2)^{2} (Answer)

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3 years ago
The ratio of cats to dogs is 8:9. If<br> there are 27 dogs, how many cats<br> are there<br> (Help)
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Step-by-step explanation:

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3 years ago
. The total area of a rectangular mural has been extended by x feet. The expression to represent the area is 5.5(7.5 + x). Rewri
alexandr1967 [171]

Answer and Step-by-step explanation: <u>Distributive</u> <u>Property</u> describes how to solve expressions like a(b +c). According to the property, multiplying the sum of two or more numbers by a number will result in the same as multiplying each number and then add the products. For example:

                 11(2 + 4)

11(6) = 66                 22 + 44 = 66

So, for the expression that represents the area:

5.5(7.5 + x) = 41.25 + 5.5x

As the expression has non-numerical terms, the distributive property will be multiply each term and then add the products.

The expressio for area of a rectangular mural is 41.25 + 5.5x.

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