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musickatia [10]
3 years ago
7

So I copied this off from my teacher she was showing this on the board but I need help showing my work on this so that she doesn

’t know I copied it which I think she wouldn’t but you never know

Mathematics
2 answers:
IRISSAK [1]3 years ago
6 0

Answer:

x < 3 or x > 9

Step-by-step explanation:

given 6| x - 6 | + 7 > 25 ( subtract 7 from both sides )

6| x - 6 | > 18 ( divide both sides by 6 )

| x - 6 | > 3

Inequalities of the form | x | > a always have solutions of the form

x < - a OR x > a, hence

x - 6 < - 3 or x - 6 > 3 ( add 6 to both sides in both inequalities )

x < 3 or x > 9


kaheart [24]3 years ago
5 0

Answer: x > 9 or x < 3

<u>Step-by-step explanation:</u>

Step 1: Isolate the absolute value expression.

6 | x - 6 | + 7 > 25

6 | x - 6 |  > 18      <em>subtracted 7 from both sides</em>

   | x - 6 |  > 3        <em>divided both sides by 3</em>


Step 2: Solve for x.

Note: the absolute value symbol makes the value positive, so the value inside could be positive or negative. We need to find both solutions.

<u>If inside is negative</u>

-(x - 6) > 3

 x - 6 < -3      <em>divided both sides by -1 which flipped the inequality</em>

     x < 3        <em>added 6 to both sides</em>


<u>If inside is positive</u>

+(x - 6) > 3

 x - 6 > 3      <em>distributed +1, which didn't change the inequality</em>

     x > 9        <em>added 6 to both sides</em>


Step 3: Graph the solution

←-------------o -3           9 o--------------→

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3 years ago
A line passes through the points (2,4) and (5,6) .
Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points (x_1,y_1) and (x_2, y_2)

then the general form y -y_1=m(x-x_1) for linear equations where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

First calculate slope for the points (2, 4) and (5, 6);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}

then, by point slope intercept form;

y-4=\frac{2}{3}(x-2)

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}

then, by point slope intercept form;

y-6=\frac{2}{3}(x-5)

Yes, the only equation of line from the given options  which describes the given line are;

y-4=\frac{2}{3}(x-2)  and y-6=\frac{2}{3}(x-5)



8 0
3 years ago
What is the reverse of add 1
Aleksandr-060686 [28]

Subtract 1

Hope this helps! ;)

4 0
2 years ago
Read 2 more answers
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