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Eduardwww [97]
2 years ago
4

If f (x) = StartRoot 4 x + 9 EndRoot + 2, which inequality can be used to find the domain of f(x)?

Mathematics
2 answers:
Snowcat [4.5K]2 years ago
6 0

Answer:

"f (x) = StartRoot 4 x + 9 EndRoot + 2" should be written as

 

Note that √(4x + 9) is a variation of the basic function y = √x, whose domain is [0, ∞ ).

The domain of f(x) = √(4x + 9) + 2 is found by taking the "argument" 4x + 9 of √(4x + 9) and setting it equal to zero:

4x + 9 ≥ 0, or

4x ≥ -9, or

x ≥ -9/4

This is the domain of the given function f(x) = √(4x + 9) + 2.  So long as x is ≥ -9/4, the function f(x) will be defined.

Step-by-step explanation:

hope this helps

harkovskaia [24]2 years ago
5 0

Answer:

d on edge

Step-by-step explanation:

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Leicestershire Renovations has a history of problems with customers who do not pay their bills on time. Leicestershire Renovatio
Flauer [41]

Complete Question.

Leicestershire Renovations has a history of problems with customers who do not pay their bills on time.

Leicestershire Renovations wants to improve its cash situation, reduce bad debts, and reduce credit-collection

costs. Which of the following forms of pricing would most likely help the firm achieve its goal?

a. zone pricing

b. quantity discounts

c. cash discounts

d. by product pricing

e. product bundling

Answer:

c. Cash discounts.

Step-by-step explanation:

Cash discount is a reduction in the amount of an invoice allowed by some sellers of goods or service providers so as to encourage service takers or coients to pay within a specified period of time.

For the client or customer, it is known as the purchase discount while it is a sales discount for the service providers.

Cash discount will help Leicestershire Renovations improve its cash situation, reduce bad debts and reduce credit-collection

7 0
2 years ago
A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er
Kobotan [32]

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

\hat{p} = 89\% = 0.89

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.10} = 1.64

Putting the values, we get:

M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016

Thus, the margin of error for the survey is 0.016

3 0
2 years ago
1, 32, 243, 1,024, 3,125____ what is the next number in the pattern
rosijanka [135]
Heyya

I think the pattern is (n+1)^5

1=1^5
32 = 2^5
243 = 3^5
1024 = 4^5
3125 =5^5

Then the next number should be 6^5 = 7776
Hope you get it
8 0
2 years ago
Read 2 more answers
There are four nickels and seven dimes in your pocket. One of the nickels and one of the dimes are Canadian. The others are US c
natima [27]

Answer:

  8/11

Step-by-step explanation:

Only 3 of the nickels are neither dimes nor Canadian. The other 8 of 11 coins are dimes or Canadian. The probability of choosing one of them at random is 8/11.

8 0
2 years ago
Read 2 more answers
What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.
zvonat [6]

Answer:

x=-2.38

x=-4.62


Step-by-step explanation:

The question is  (2x+3)^2+8(2x+3)+11=0

<em>We let u=2x+3, so the equation becomes:</em>

u^2+8u+11=0

Where a=1, b=8, c=11


Putting it in the quadratic formula, we have:

<u>Quadratic formula:</u> \frac{-b+-\sqrt{b^2-4ac} }{2a}

Substituting we have: \frac{-8+-\sqrt{(8)^2-4(1)(11)} }{2(1)}\\=\frac{-8+-\sqrt{20} }{2}\\=\frac{-8+-2\sqrt{5} }{2}\\=-4+\sqrt{5}, -4-\sqrt{5} }


<em>We let u=2x+3, so x is:</em>

<em>u=2x+3\\(-4+\sqrt{5})=2x+3\\x=\frac{-7+\sqrt{5}}{2}=-2.38</em>

<em>and</em>

<em>u=2x+3\\(-4-\sqrt{5})=2x+3\\x=\frac{-7-\sqrt{5}}{2}=-4.62</em>


The solutions of the equation is x=-2.38 (rounded to 2 decimal places), and x=-4.62 (rounded to 2 decimal places)

6 0
2 years ago
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