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Viktor [21]
3 years ago
15

What is the answer of this equation [x+3]<4

Mathematics
1 answer:
mariarad [96]3 years ago
5 0

Answer:

x<1  x>-7

Step-by-step explanation:

|x+3|<4

We know x+3<4 and x+3>−4

x+3<4  (Condition 1)

x+3−3<4−3  (Subtract 3 from both sides)

x<1

x+3>−4 (Condition 2)

x+3−3>−4−3  (Subtract 3 from both sides)

x>−7

Answer:

x<1 and x>−7

 

 

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If f(x) = g(x), then what does 7x - 12 = -3x + 10?​
Bumek [7]

Answer:

x = 2.2

Step-by-step explanation:

Comment

f(x) = g(x) I don't think has any meaning for this question. I will just solve the equation.

Solution

7x - 12 = - 3x  + 10                    Add 3x to both sides

7x + 3x  -12 = - 3x + 3x +10    Combine

10x - 12 = 10                            Add 12 to both sides

10x -12 + 12 = 10 + 12              Combine

10x = 22                                  Divide by 10

10x/10 = 22/10

x = 2.2

3 0
1 year ago
A coffee machine can be adjusted to deliver any fixed number of ounces of coffee. if the machine has a standard deviation in del
zysi [14]
The mean will be calculates as follows; from the formula of z-score we shall have:
z=(x-μ)/σ
the z-score associated with 0.5% is 0
thus
0=
(8-μ)/0.4=0
solving for x we get:
μ=9 

Answer: μ=9

6 0
3 years ago
Find the inverse of the function.<br> y=x2 + 4x + 4
adoni [48]

Answer: To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)

y = x² + 4x + 4  ⇒⇒⇒ factor the quadratic equation

y = (x+2)(x+2)

y = (x+2)²         ⇒⇒⇒ take the square root to both sides

√y = x+2

x = √y - 2         ⇒⇒⇒ x becomes a function of y

final step:

∴ y = √x - 2   ⇒⇒⇒ the inverse of the given function

So, as a conclusion:

f(x) = y = x² + 4x + 4  ⇒⇒⇒ the given function

f⁻¹(x) = y = √x - 2       ⇒⇒⇒ the inverse of the given function

7 0
3 years ago
Please help me solve this priblem
Over [174]
It would be c. 12 inches

H = V/lw

The Length * Width = 450
and the volume is 5400
So 5400/450 = 12

Hope that helps!
5 0
3 years ago
Read 2 more answers
Is there a faster way to find GCF of large numbers e.g 828 and 529.
Sunny_sXe [5.5K]
You can use prime factorization to find the GCF of a set of numbers. This often works better for large numbers, where generating lists of all factors can be time-consuming.
Here’s how to find the GCF of a set of numbers using prime factorization:
* List the prime factors of each number.
* Circle every common prime factor — that is, every prime factor that’s a factor of every number in the set.
* Multiply all the circled numbers.
The result is the GCF.
For example, suppose you want to find the GCF of 28, 42, and 70. Step 1 says to list the prime factors of each number. Step 2 says to circle every prime factor that’s common to all three numbers (as shown in the following figure).
As you can see, the numbers 2 and 7 are common factors of all three numbers. Multiply these circled numbers together:
2 · 7 = 14
Thus, the GCF of 28, 42, and 70 is 14.

5 0
2 years ago
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