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erma4kov [3.2K]
3 years ago
6

Rachel took a two-day road trip last weekend. She drove 65 miles less on Sunday than she did

Mathematics
1 answer:
Sav [38]3 years ago
4 0

Answer:

I believe the answer is 186.5 miles were driven on Sunday and 251.5 miles on Saturday. The total amount of miles driven was 483 miles

Step-by-step explanation:

So if Rachel drove 65 miles less than she did on Saturday and Twice the miles she drove on Sunday was 373, we would divide 2 from 373 which gives us 186.5 miles on Sunday. Because she drove 65 miles less on Sunday than she did Saturday, then she drove 251.5 miles on Saturday. If you needed the total amount of miles she drove then we would just add 186.5 miles to 251.5 miles to get an answer of 483 total miles.

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Factorise x cube -2x square -5x plus 6
zepelin [54]

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

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3 years ago
Drew does push-ups every three days starting in January 3.He does sit ups every four days starting on January 4.on which days in
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January 12 because he will be on his 4th day of push ups and his 3rd day of situps
3 0
3 years ago
2x + y -z=9<br> -x + 6y + 2z =- 17<br> 5x + 7y +z = 4
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Answer:

Step-by-step explanation:

What is y?

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3 years ago
For each function below, determine whether or not the function is injective and whether or not the function is surjective. (You
Harlamova29_29 [7]

Answer: First, injective means that for every y, there is only one x such f(x) = y, and surjective means that if f is a function that goes from the set {x} to the set {y}, for every element y in the codomain there is at least one element x in the domain such f(x) = y

(a) f:R----> + R given by f(x) = x2 (i guess you written x^{2})

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(b) f:N----> + N given by f(n) = n2  (i guess you written n^{2})

As the naturals have no negative numbers, in this case the function is injective, but isn't surjective, because there is no number that when squared is equal to 5, for example.

(c) f: Zx Z → Z given by f(n, k) = n +k:

here the domain is of the form (n,k) and the function is n +k, so the numbers (z,w) and (w,z) return the same value when evaluated in f, then f is not injective. And is easy to see that f is surjective, because in the sum you can reach al the integers on the codomain.

3 0
3 years ago
Using the graph below, describe the acceleration, position, and force at each of the
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Answer:

Step-by-step explanation:

<u><em>(1). 2 m / s²</em></u>

<u><em>(2). 0 m / s²</em></u> { Change from the previous section is - 2 m / s² }

<u><em>(3). - 8 m / s²</em></u> { Change from the previous section is - 8 m / s² }

<u><em>(4). - 1 m / s²</em></u> { Change from the previous section is + 7 m / s² }

<u><em>(5). 0 m / s²</em></u> { Change from the previous section is + 1 m / s² }

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2 years ago
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