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ArbitrLikvidat [17]
1 year ago
14

Using algebra, solve the inequality writing your answer in set notation. x²-x> 20

Mathematics
1 answer:
Xelga [282]1 year ago
3 0

Answer:

(-4, 0) U (1, ∞)

Step-by-step explanation:

Set each factor EQUAL to zero to find the zeroes (since it is not actually equal to zero, you will use an open circle when graphing and an open bracket when writing in interval notation).

x = 0           x-1 = 0             x + 4 = 0

                  x = 1                x = -4

Next, choose a value to the far left, between each of the zeroes, and to the far right to evaluate if it makes a true statement when input into the given inequality.

far left (I choose -5): -5(-5 - 1)(-5 + 4) > 0   →  (-)(-)(-) > 0  →   negative > 0  FALSE

- 4 to 0 (I choose -2): -2(-2 - 1)(-2 + 4) > 0   →  (-)(-)(+) > 0  →   positive > 0  TRUE

0 to 1 (I choose 0.5): .5(.5 - 1)(.5 + 4) > 0   →  (+)(-)(+) > 0  →   negative > 0  FALSE

far right (I choose 2): 2(2 - 1)(2 + 4) > 0   →  (+)(+)(+) > 0  →   positive > 0  TRUE

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From the calculations, the total amount paid for the SUV is $43,708.

<h3>What is compound interest?</h3>

The term compound interest has to do with an interest that is charged in both the principal and the interest.

In this case, the amount that was borrowed is  $36,000 - $3000 = $33,000. Using the formula;

A = P(1 + r/n)^nt

P =  $33,000

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A = $40,708

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Learn more about compound interest:brainly.com/question/14295570?

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3 0
2 years ago
Question 4
polet [3.4K]

Answer:

12/7 hours

Step-by-step explanation:

First find the rate for hour for the two. For Lianne she can do 1/3 of the job per hour. For Julie she can do 1/4 of the job per hour.

Adding them together, 1/3+1/4= 7/12.  

This 7/12 means that working together they can finish 7/12 of a job in an hour. We can use the speed*time=distance formula here and see that

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7 0
2 years ago
Can someone please help me with this math question .
Alona [7]

No, Yes, No, Yes

using the laws of exponents

(1)

(4^{3})³ = 4^{9}

4³ × 4³ = 4^{6}

4^{9} ≠ 4^{6} → No

(2)

(3^{4})^4 = 3^{16}

3^{8} × 3^{8} = 3^{16} → Yes

(3)

18^{8} = (6 × 3 )^8 = 6^{8} × 3^{8} ≠ 6^{4} × 3^{4} → No

(4)

20^{3} = (4 × 5 )³ = 4³ × 5³ → Yes




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3 years ago
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The X-intercept is 15.
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3 years ago
Erika calculated that she would spend $115 on school supplies this year. She actually spent $82.50 on school supplies. What is E
DerKrebs [107]
The equation to find percent error is:
percent error=(experimental-theoretical)/theoretical *100
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39.3939%, or 39.94%

Hope this helps!!
6 0
3 years ago
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