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marysya [2.9K]
3 years ago
13

PLS HELP! DUE IN 30 MINS!!!!!

Mathematics
1 answer:
erik [133]3 years ago
3 0

Answer:

Inequality: 22 + 5x ≥ 59

Minimum amount: 7.4

Realistic number: 8

Represented on a graph: I think it would look like a vertical line starting at the x value of 8, and continue right forever

Step-by-step explanation:

22 because that's how much she has already, 5x will represent her earnings relative to the number of driveways she pressure washes, and greater than or equal to 59 because she needs $59 or more to buy the video game.

22 + 5x  ≥ 59 (subtract 22 from each side)

5x ≥ 37 (divide each side by 5)

x ≥ 7.4

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Answer:

Yes, it is true that x^2+3x-1  is a factor of x^4+3x^3-2x^2-3x+1.

Step-by-step explanation:

Let us try to factorize x^4+3x^3-2x^2-3x+1

x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3

Let us try to make a whole square of the given terms:

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Formula used above:

a^{2} -2 \times a \times b +b^{2}  = (a-b)^2

In the above equation, we had a = x, b = 1.

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Further solving the above equation, taking 3x common out of 3x^3-3x

\Rightarrow (x^2-1)^2+3x(x^2-1)\\

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So, the two factors are (x^2-1)\ and\ (x^2+3x-1).

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Bert has three times as much money as Ernie. If Ernie spends $6 on a new rubber ducky, then Bert will have five times as much mo
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Answer:

Bert has $45.

Step-by-step explanation:

I have no real strategy, except for that I used guess and check. How did I do this? Well, since I am in 5th Grade, I don't know algebra very well, so I made an organized chart and checked all the numbers that had to be a multiple and  could be divided equally by 5, 3 and when a third of that number was subtracted by 6, it was a fifth of the orginal number. Thats how I got 45.

Checking this answer:

It is always important to check your answer after finishing the problem, so this is how I checked my answer:

1. 45 divided by 3 = 15

2. 15 - 6 = 9, and 9 is 1/5 of 45

Bert has $45.

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