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timama [110]
3 years ago
10

A classmate wrote the solution to the inequality |-4x + 1| > 3 as show below. Describe and correct the error.

Mathematics
1 answer:
andrezito [222]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

The last step is incorrect. When we divide both sides by a negative the inequality is flipped. The answer is x < -1/2.

Also they  omitted  the other possibility that the expression in the vertical lines could be negative.

We also have the inequality

- 4x + 1 < - 3

-4x < -4

x > 1.

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F(x)=x^2-3x+15<br> find f(-8)
Vlada [557]

Answer:

103

Step-by-step explanation:

(-8)²-3(-8)+15

64+24+15

103

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2 years ago
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3 0
2 years ago
The sum of three consecutive numbers is 12 find the numbers
snow_tiger [21]
Let x,y,z be those numbers.
x+y+z = 12
Since x,y,z are consecutive: y=x+1, and z = x+2
Let's replace y and z by their new values:
x+x+1+x+2=12
3x+3=12
You subtract 3 from each side to get variables on a side, and numbers on the other:
3x=9
You divide both sides by 3:
x=3

y=x+1 = 3+1 = 4
z=x+2 = 3+2 = 5

So the numbers are 3; 4 and 5.

You can re-check your answers (very important):
3+4+5 = 12
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The answer has been approved.

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7 0
3 years ago
5. Write each number in another form.
sukhopar [10]
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7 0
3 years ago
Write the sentence as an​ equation, using x as the variable. Then find the solution of the equation from the set of integers bet
Inessa05 [86]

Answer:

The solution of given equation is x = -4

Step-by-step explanation:

We are given the following in the question:

Let x be the variable such that

x \in (-12,12)

Relation:

The quotient of a number and 4 is negative 1

We can write the equation as:

\dfrac{x}{4} = -1

Solution:

\dfrac{x}{4} = -1\\\\\Rightarrow x = 4\times -1\\\Rightarrow x = -4

Thus, the solution of given equation is x = -4

4 0
3 years ago
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