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Marina CMI [18]
2 years ago
6

Identify the solution of the inequality |4x − 2| > 14 and the graph that represents it.

Mathematics
1 answer:
kodGreya [7K]2 years ago
4 0

The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3

<h3>What is an inequality?</h3>

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Given the inequality:

|4x − 2| > 14

Hence:

4x - 2 > 14 or -(4x - 2) > 14

x > 4 or x < -3

The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3

Find out more on inequality at: brainly.com/question/24372553

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Kim orders catering from Midtown Dinerfor $35. She spends $5 on a large order of potato salad and the rest on turkey sandwich. E
aivan3 [116]

Answer:

Kim had bought 12 sandwiches.

Step-by-step explanation:

Given:

Amount spend at Midtown Dine = $35

Amount spend on large order of potato salad = $5

Cost of each sandwich = $2.5

We need to find the number of sandwich did Kim bought.

Solution:

Let the number of sandwich Kim bought be 'x'.

Now we know that;

Amount spend at Midtown Dine is equal to sum of Amount spend on large order of potato salad and number of sandwich Kim bought multiplied by Cost of each sandwich.

framing in equation form we get;

5+2.5x=35

Subtracting both side by 5 we get;

5+2.5x-5=35-5\\\\2.5x=30

Dividing both side by 2.5 we get;

\frac{2.5x}{2.5}=\frac{30}{2.5}\\\\x=12

Hence Kim had bought 12 sandwiches.

3 0
3 years ago
Triangle EFG is an isosceles triangle with EG=EF. What is the approximate length of EF, and what is the approximate perimeter of
sineoko [7]

Answer:

B. The approximate length of EF is 4.47 units, and the approximate perimeter of triangle EFG is 12.94 units.

Step-by-step explanation:

First step is to determine the length of EF, since that will give us 2 sides of the triangle (since EG = EF).

From the diagram, we can easily make a rectangle triangle by dropping a vertical line from vertex E, let's name Z the meeting point of that line with the segment GF.  Then we have a rectangle triangle EZF with a height of 4 and a base of 2, of which EF is the hypotenuse. So...

EF² = 4² + 2² = 16 + 4 = 20

EF = √20 = 4.47

Now that we have EF, we also have EG:

EF = 4.47

EG = 4.47

GF = 4 (visible on the graph)

Perimeter = 4.47 + 4.47 + 4 = 12.94 units.

7 0
3 years ago
Read 2 more answers
I need help on this please. Don't answer if you don't know, Thanks
lyudmila [28]

Answer:

I think you can find these answers online...

A good website that I used to use for books like these was www.slader.com, but it might not have everything.

Step-by-step explanation:

4 0
3 years ago
Solve the system of linear equations using the Gauss-Jordan elimination method.
mixas84 [53]

Answer:

x = -0.6

y = 2.2

z = 2

Step-by-step explanation:

2x + y - 2z = -3

x + 3y - z = 4

3x + 4y - z = 5

Rewrite the system in matrix form and solve it by Gaussian Elimination (Gauss-Jordan elimination)

2 1 -2 -3

1 3 -1 4

3 4 -1 5

R1 / 2 → R1 (divide the 1 row by 2)

1 0.5 -1 -1.5

1 3 -1 4

3 4 -1 5

R2 - 1 R1 → R2 (multiply 1 row by 1 and subtract it from 2 row); R3 - 3 R1 → R3 (multiply 1 row by 3 and subtract it from 3 row)

1 0.5 -1 -1.5

0 2.5 0 5.5

0 2.5 2 9.5

R2 / 2.5 → R2 (divide the 2 row by 2.5)

1 0.5 -1 -1.5

0 1 0 2.2

0 2.5 2 9.5

R1 - 0.5 R2 → R1 (multiply 2 row by 0.5 and subtract it from 1 row); R3 - 2.5 R2 → R3 (multiply 2 row by 2.5 and subtract it from 3 row)

1 0 -1 -2.6

0 1 0 2.2

0 0 2 4

R3 / 2 → R3 (divide the 3 row by 2)

1 0 -1 -2.6

0 1 0 2.2

0 0 1 2

R1 + 1 R3 → R1 (multiply 3 row by 1 and add it to 1 row)

1 0 0 -0.6

0 1 0 2.2

0 0 1 2

x = -0.6

y = 2.2

z = 2

7 0
3 years ago
What is 0.8%of $5,700?
EastWind [94]

Answer: 0.8% of 5,700 = <u><em>45.6 </em></u>

Step-by-step explanation:

0.8% × 5,700 =

(0.8 ÷ 100) × 5,700 =

(0.8 × 5,700) ÷ 100 =

4,560 ÷ 100 =

45.6;

5 0
3 years ago
Read 2 more answers
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