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RUDIKE [14]
3 years ago
5

Which of the following is the set of real numbers that are 4 units from 7?​

Mathematics
2 answers:
Hunter-Best [27]3 years ago
7 0
The set is 4 units from 7 spots away
a_sh-v [17]3 years ago
6 0

Answer:

  see below

Step-by-step explanation:

The difference of 7 and x is 7-x. The difference of x and 7 is x -7. If you want the positive difference regardless of which (7 or x) is larger, you can make the difference be positive by using the absolute value: |x -7|.

We want numbers such that this difference is 4, so we want the solutions to ...

  |x-7| = 4

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The slope of any line perpendicular to , where A(0, -3) and B(4, 9) are two points on the line, is m =
enyata [817]

Answer:

m = -1/3

Step-by-step explanation:

The slope of the line can be calculated using the slope formula.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{9--3}{4-0} = \frac{12}{4} = 3

Since this is the line with points AB, the slope of any line perpendicular to it will be -1/3. All perpendicular lines cross at a 90 degree angle and as such their slopes are the negative reciprocals of each other. This means 3 becomes -1/3.

4 0
3 years ago
If (ax+2)(x+b) = 3x^2 + 5x + c for all values of x, what is the value of c?
Papessa [141]

Answer:

c=2

Step-by-step explanation:

(ax+2)(x+b) = ax^2+2x+abx+2b = ax^2+(2+ab)x+2b

Given, ax^2+(2+ab)x+2b = 3x^2+5x+c

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2b=c => c=2*1 = 2

So, c=2

5 0
3 years ago
You have already invested $550 in a stock with an annual return of 11%.  How much more should be invested at 15% so that the ret
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Solution: Let x be the amount to be invested (15%).

Then,

x*0.15 + 550*0.11 = (x+550)*0.12

x*0.15 - x*0.12 = 550*0.12 - 550*0.11

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0.03x = 550*0.01

0.03x = 5.5

x =5.5÷0.03

x=183.33

Answer: $183.33 more to be invested for 12 % total return.

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3 years ago
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Please Help Me With This One, Is This A Function?
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Answer:

Step-by-step explanation:

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3 years ago
PLEASE HELP!!!!! What is the reason for each step in the solution of the equation?
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3 + (4x - 3x) = 4

3 + x = 4      Combine like terms

3 - 3 + x = 4 - 3

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5 0
3 years ago
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