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Novosadov [1.4K]
2 years ago
5

Which answer represents the domain of the logarithmic function given below? F(x) = log8x

Mathematics
2 answers:
Assoli18 [71]2 years ago
7 0

Answer:

x > 0

Step-by-step explanation:

I just got it right on 9.6.3

MrRissso [65]2 years ago
3 0

Answer:

C. x>0

Step-by-step explanation:

Given: f(x)=log(8x)

To find the domain of a logarithmic function, we need to take the argument, 8x, and set it greater to zero. This is because an argument of a logarithmic function cannot be zero or negative.

8x>0

x>0

So since x is greater than zero, we have just found out our domain:

Interval Notation: (0, ∞)

Set Notation: {x|x>0}

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What number must you add to complete the square x^2+4x=15
Andrew [12]
Since we want it in the form: (x - a)², let's first expand (x - a)² and then equate for the coefficients.

(x - a)² = x² - 2ax + a²
x² + 4x - 15 = x² - 2ax + a²

Now, let's focus on the middle term.
4x = -2ax
4 = -2a
a = -2

Thus, we know that a = -2
Then, we can say (x + 2)² = x² + 4x - 15
x² + 4x + 4 = x² + 4x - 15
Thus, 19 units are needed in order to complete the square to produce:
(x + 2)²
6 0
3 years ago
Children of mothers who smoked during pregnancy scored nine points lower on intelligence tests at ages three and four than child
eduard

Answer:

All of the options apply.

Step-by-step explanation:

In the example given in the question, it is stated that mothers' smoking during pregnancy can affect childs' IQ and can cause lower scores on test.

All of the given options can be given as evidence for the link between smoking and lower IQ. The diet especially throughout childhood has significant effect on the development of the brain and the prefrontal cortex.

The psychological condition that the child is in, the environment in the house that he/she grows up in affects the IQ and the EQ.

The IQ can be affected by outside factors but it also has a relation with the genes that the child takes from his/her parents.

The socioeconomic status of the mother can affect the environment that the child grows up in, the people he/she interacts with and the opportunities that he/she gets to stimulate the brain in different ways to encourage growth.

I hope this answer helps.

8 0
2 years ago
What is the common ratio of the geometric<br> sequence below?<br> -5, -10, -20, -40, -..
andrew11 [14]
2
Hope this helps!!!!
3 0
2 years ago
4(x-3)=2(3x+1) 2 solve for x
Katarina [22]
Hi there!

Th' Eqn. is :-

4 (x - 3) = 2 (3x + 1)

=> 4x - 12 = 2 (3x + 1)

=> 4x - 12 = 6x + 2

Combine th' like terms :-

=> 4x - 6x = 2 + 12

=> - 2x = 14

=> x = \dfrac {- 14}{2}

=> x = - 7

Hence, The required answer is : x = - 7

~ Hope it helps!
3 0
3 years ago
What best describes the value of (x - 5)(x - 10) when x = 10?
Gnoma [55]
It is most likely positive.
8 0
3 years ago
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