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Naddik [55]
3 years ago
14

Which inequality represents all values of X for which the product below is defined?

Mathematics
1 answer:
goblinko [34]3 years ago
5 0

Answer:

x ≥6

Step-by-step explanation:

Given the product:

√(x-6)*√(x+3)

The function has to be defined if x ≥0

Hence;

√(x-6)*√(x+3)≥0

Find the product

√(x-6)(x+3)≥0

Square both sides

(x-6)(x+3)≥0

x-6≥0 and x+3≥0

x≥0+6 and x ≥0 - 3

x ≥6 and x ≥-3

Hence the required inequality is x ≥6

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The percent increase of the airline ticket is ___%
JulsSmile [24]

Answer:

Step-by-step explanation:

%change=100(final-initial)/(initial)

For just the ticket

%change=100(375-300)/300=25%

For the ticket and baggage fee of $50

%change=100(375+50-300)/300=42%

7 0
3 years ago
The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers. What is the domain of h(x) = f(x)/g(x)?
arlik [135]
This is a quotient (division) of two functions we must be concerned with the fact that division by zero is undefined.

Since g(x) is in the divisor position, it cannot equal 0.
x+6 \neq 0
x \neq -6 Subtract 6 from both sides to solve.
So the domain is all real numbers except -6
Set notation {x | x ∈ R, x ≠ -6}
Interval notation (-∞,-6)∪(-6,∞)
6 0
3 years ago
I NEED HELP WITH THIS QUESTION PLEASE
Naddika [18.5K]
From 0 move to left two 1/3, them move to right four 1/3. The answer is 2/3
See the image

3 0
3 years ago
2x < - x + 20 + 7 I don't get how to answer this question
dimulka [17.4K]

ANSWER

X < 9

Solve

2x < - x + 20 + 7

2x < - x + 27 change the signs

2x + x < 27 add the like terms

3x < 27 divide by 3

x < 9

6 0
3 years ago
Question 7
CaHeK987 [17]

Answer:

6.6

Step-by-step explanation:

The way to do this is to find the tax as a decimal. Worry about the 100 later.

54 * x = 3.56

Divide by 54

x = 3.56/54

x = .06593

Now use the 100

0.06592 * 100 = 6.593

But you want it rounded to the 1/10

So you should get 6.6 %

6 0
3 years ago
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