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3 years ago

If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)? Options Below

Mathematics

2 answers:

Aleksandr [31]3 years ago

8 0

The inequality $x-3 \geq 0$ can be used to find the domain of $f(x)=\sqrt{x-3}$

Answer: Option B

<u>Step-by-step explanation:</u>

We have $f(x)=\sqrt{x-3}$ , domain is the set of all possible x-values which will make the function "work", and will output real y-values. Basically to find domain of any function means to find range of values of x that will give real values of y.

For the equation $f(x)=\sqrt{x-3}$ , we know that there's no value ( iota or complex numbers are there but here we will deal with real numbers ) of negative numbers under square root

∴ ${(} x-3 {)}$ must be greater than or equal to 0.

⇒ $x-3 \geq 0$

umka2103 [35]3 years ago

6 0

Answer:

Step-by-step explanation:

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Which expression is equivalent to n2 + 26n + 88 for all values of n?

Lelechka [254]

Answer:

Option B is correct.

The expression which is equivalent to $n^2+26n+88$ is; $(n+22)(n+4)$

Explanation:

Given the equation: $n^2+26n+88$ for all values of n.

The quadratic equation in this form; $ax^2+bx+c =0$

First find two numbers that multiply to give ac and add to give b.

From the given equation;

a =1 , b = 26 and c =88

then,

the two number that multiply to give ac =88 is, 22 or 4

and they add up to give b=26 (i.e 22+4)

Now, rewrite the middle term i.e 26n with 22n and 4n , we have

$n^2+22n+4n+88=0$

Now, factor the first two terms and last two terms,

$n(n+22)+4(n+22)$

we see that $(n+22)$ is common to both terms so, we have;

$(n+22)(n+4)$

Therefore, the expression $(n+22)(n+4)$ is equivalent to $n^2+26n+88$

Check:

(n+4)(n+22) = $n\cdot n+ 22n+4n+88$ = $n^2+26n+88$ [ True]

5 0

2 years ago

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X+3/x-2 - 1-x/x =17/4<br>find the x with methods

Archy [21]

Step-by-step explanation:

x+3/x-2 - 1-x/x= 17/4

now let's put the expression on the upper side so it I'll be

x+3-x-2-1-x-x= 17×14

x-x-x-x+3-2-1= 238

+3-3= 238

= 238 answer

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2 years ago

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What is the area of the triangle that is 30 m base in the height of 12 m in a straight line of 13

Reika [66]

Answer:

Step-by-step explanation:

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2 years ago

1,8,27; 64; Rule Missing numbers

zubka84 [21]

Answer:

rule: f(n) = n³

missing numbers: 125, 216, 343, 512, 729

Step-by-step explanation:

Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.

1 = 1·1·1 = 1³

8 = 2·2·2 = 2³

27 = 3·3·3 = 3³

64 = 4·4·4 = 4³

The rule is ...

f(n) = n³

The cubes of 5 through 9 will complete the set of numbers ...

1, 8, 27, 64, 125, 216, 343, 512, 729