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marissa [1.9K]
3 years ago
8

How would you graph (on a number line) (x-8)(x-8)<0??

Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

Answer:

  The graph is the empty number line (no solution)

Step-by-step explanation:

Your expression is (x-8)² < 0. There are no real numbers that give a negative value when squared. There is NO SOLUTION. The graph is empty.

_____

<em>Comment on quadratic inequalities</em>

In general the inequality (x-a)(x-b) < 0 will have a solution when one factor is negative and the other is positive. In general, that will be the case for values of x that are strictly between <em>a</em> and <em>b</em>. In your inequality, that would require you graph numbers that are between 8 and 8. There are none.

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A is the point with coordinates (3,8) b is the point with coordinates (x,13) the gradient of an is 2.5 .work out the value of x
Solnce55 [7]

Answer:

x = 5

Step-by-step explanation:

The formula for the gradient is given by:

m = (y2 - y1)/(x2 - x1), where two points (x1, y1) and (x2, y2) are given.

Thus if we have a gradient of 2.5 and two points (3, 8) and (x, 13), we can substitute this into the above formula for the gradient to get:

2.5 = (13 - 8)/(x - 3)

2.5(x - 3) = 5 (Multiply both sides by (x - 3))

x - 3 = 2 (Divide both sides by 2.5)

x = 5 (Add 3 to both sides)

Thus, the value of x is 5.

7 0
3 years ago
What type of reaction is shown below? Check all that apply. 2Na + Cl2 → 2NaCl synthesis decomposition combustion
const2013 [10]

Answer: This is a type of Synthesis reaction.

Explanation:

  • Synthesis reaction is a type of chemical reaction in which two or more substances combine to form a single substance.

A+B\rightarrow AB

  • Decomposition reactions are a type of chemical reactions in which a substance breaks down into two or more substances.

AB\rightarrow A+B

  • Combustion reaction is a type of chemical reaction in which a hydrocarbon reacts with oxygen gas to produce carbon dioxide and water.

Hydrocarbon+O_2\rightarrow H_2O+CO_2

For the given reaction:

2Na(s)+Cl_2(g)\rightarrow 2NaCl

Here, 2 substances are combining together to form a single substance. Hence, it is considered as a synthesis reaction.

8 0
3 years ago
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Kate's swim coach informs her that she only has 35% of her workout left. Kate has swum 26 laps so far.
pentagon [3]
Kate needs to swim 40 laps to come complete 66 laps
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3 years ago
What's the greatest common factor of: 2*2*2*2*3*3*3*5*2*2*3*3*3*7
erastova [34]

the greater common factor is : a.2

5 0
3 years ago
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What do you want to find out? &gt; The rate at which Bill puts shringles on a rood. What do you know? &gt; Bill and Chip each fi
denis23 [38]

Answer:

  (a) b = (4/7)c

  (b) Bill: 40 shingles/hour; Chip: 70 shingles/hour

Step-by-step explanation:

Let b and c represent Bill's and Chip's rates in shingles per hour, respectively. Then we have ...

  7b = 4c

  c - b = 30 . . . . shingles per hour difference in rates

(a) Bill's rate in terms of Chip's rate can be found by dividing the first equation by 7

  b = (4/7)c . . . . . Bill's rate is 4/7 of Chip's rate

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(b) To find the rates, we can multiply the second equation by 7 and substitute using the first equation:

  7c -7b = 210

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  b = (4/7)(70) = 40

Bill's rate is 40 shingles per hour; Chip's rate is 70 shingles per hour.

3 0
3 years ago
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