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rusak2 [61]
3 years ago
13

Write the absolute value inequality in the form |x-b| c that has the solution set x<-5 or x>7.

Mathematics
1 answer:
Daniel [21]3 years ago
4 0
Answer:
|x - 1| > 6
Step-by-step explanation:
b is the centre:
(-5 + 7)/2
2/2 = 1
b = 1
c is the distance from the centre
c = 7 - 1 = 6
Since it's an or case, > with the modulus
|x - 1| > 6
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8x-5y=21 simultaneous linear equation<br>2x+9y=-5
olya-2409 [2.1K]

Answer:

x=2 and y=-1

Step-by-step explanation:

If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.

For the given equations:

8x-5y=21              Equation:1

2x+9y=-5             Equation:2

Solving equation multiply equation 2 with 4 on both the sides

8x+36y=-20        Equation 3

Subtracting Equation:3 from Equation:1

8x-5y-(8x+36y)=21-(-20)\\8x-5y-8x-36y=21+20\\-41y=41\\y=-1

Putting value of 'y' in Equation:2 which will give the value of x

2x+9y=-5\\2x+9(-1)=-5\\2x-9=-5\\2x=4\\x=2

8 0
3 years ago
Solve the system. <br> x+3y=1 <br> -2x+7=-23
Viefleur [7K]
X+ 3y = 1  -----(first equation)
-2x+7 = -23 ---(second equation)
-2x = -23-7
x = 30/2
x = 15

Now, Substitute the value of x in first equation,
15 + 3y = 1
3y = 1 - 15
y = -14/3

In short, Final Answers are: x = 15 & y = -14/3

Hope this helps!
5 0
3 years ago
A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produce
Jobisdone [24]

Answer:

Option B, would be the correct answer: 75 labels per minute

Step-by-step explanation:

The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.

Slope = \frac{rise}{run}

Slope = \frac{150}{2}

Slope = 75

Hope this helps!

6 0
2 years ago
Read 2 more answers
The perimeter of a rectangle given the area and height.
GuDViN [60]

hello :)

so here i am assuming that 66m^2 is the area and the height is 6.3 (sorry, but the way you wrote it is a bit funny, its all good tho)

so to calculate area it is hieght multipled by width

so you have to divide 66 by 6.3, which gives you this very long number : 10.4761904762

i would personally round it to either just 10 or 10.5

so you would want to write the answer as ≈10.5

hope that helped!

i would appreciate it if you voted me as brainliest :)

5 0
3 years ago
What is the equation of the line that passes through the points (−2, 1) and (1, 10)? 3x − y = −73x − y = −53x − y = 5x + 3y = −5
djyliett [7]

The two point formula :

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The points are (-2, 1) and (1, 10)

Using the formula above :

\begin{gathered} y-1=\frac{10-1}{1-(-2)}(x+2) \\ y-1=\frac{9}{3}(x+2) \\ y-1=3(x+2) \\ y-1=3x+6 \\ -3x+y=6+1 \\ -3x+y=7 \\ 3x-y=-7 \end{gathered}

The answer is 3x - y = -7

7 0
1 year ago
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