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SSSSS [86.1K]
3 years ago
7

If f(x)=V1/2x-10+3, which inequality can be used to find the domain of f(x)

Mathematics
2 answers:
katen-ka-za [31]3 years ago
7 0

Answer:

the pica

Step-by-step explanation:

Elenna [48]3 years ago
3 0

Answer:

It’s the third option

Step-by-step explanation:

I took the quiz

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James is six years older than lousie. Eight years from now, James will be 4 times older than loise was 4 years ago. What is the
weeeeeb [17]

Answer: 26 years.

Step-by-step explanation:

Let x = current age of Louise  (in years).

Then current  age of James =  x+6

Eight years from now, James's age = x+6+8= x+14

4 years ago, Louise's age = x-4

According to the question

x+14 = 4(x-4)

⇒ x+14 = 4x-16

⇒ 4x-x = 16+14

⇒ 3x = 30

⇒ x= 10 = current age of Louise  (in years).

current  age of James =  10+6 = 16 years

Sum of current ages = 16+10=26 years.

hence, the sum of the current ages is 26 years.

8 0
3 years ago
Use completing the square to solve for x in the equation (x+7)(x-9) = 25.
balandron [24]

Answer:

x = 1  ±√89

Step-by-step explanation:

We have the equation:

(x+7)(x-9) = 25

Using distributive property:

x(x-9) + 7(x-9) = 25

x²- 9x + 7x - 63 -25 = 0

x²- 2x - 88 = 0

To complete squares we need to add and subtract 1, as follows:

x²- 2x - 88 +1 -1 = 0

x²- 2x +1 -88 -1 = 0    (this is a perfect square)

(x - 1)² - 89 = 0

Solving for x:

(x - 1)² = 89

x - 1 = ±√89

x = 1  ±√89

6 0
3 years ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = eight divided by square root of quantity
zubka84 [21]

Answer:

  • f(x) = 8/√x
  • g(x) = 2x+4

Step-by-step explanation:

For this sort of problem, there can be an infinite number of answers.

It can be convenient to choose one of the simpler answers by looking at the operations that are performed on the variable. Here, you have ...

  • 2 multiplies it
  • 4 is added to the product
  • the square root is taken
  • 8 is divided by that root

You can work from the bottom up and define the outer function (f(x)) to be any of these operations. In our answer above, we have elected to include the "square root" and the "8 divided by that root" in our definition of f.

Then our function g takes care of the other operations.

6 0
2 years ago
Write the expression as a product.<br> 25-(a + 7)^2
Nastasia [14]

25 -  ({a + 7})^{2}  =

(5 + (a + 7))(5 - (a + 7)) =

(a + 12)( - a - 2)

Have a great day ♡

6 0
2 years ago
Read 2 more answers
Find the amount of time. I=$237. 90, P=$1525, r=2. 6%<br> Find the amount of time. __ Years
Virty [35]

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$237.90\\ P=\textit{original amount deposited}\dotfill & \$1525\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years \end{cases} \\\\\\ 237.90 = (1525)(0.026)(t)\implies \cfrac{237.90}{(1525)(0.026)}=t \implies 6=t

3 0
2 years ago
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