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4 years ago

Write two ratios that are equivalent to 1

Mathematics

1 answer:

Romashka [77]4 years ago

3 0

two ratios equivalent to 1 are 3:3 and 2:2

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For the function f x equals square root x ^ 3 - x, State the condition that must be satisfied for the FX to be Define. Then, sol

Svetradugi [14.3K]

Answer:

Domain: $[-1,0]\cup [1,\infty )$

Step-by-step explanation:

Since we know that a square root function is not defined for negative numbers. In order our function to be defined values inside radical must be greater than or equal to zero.

Our function will be defined when $x^{3} -x\geq 0$

$x(x^{2} -1)\geq 0$

$x(x-1)(x+1)\geq 0$

$1\geq x\leq 0$ or $x\geq1$

Now we will use number line method of solving inequalities to check whether our answer is right or not.

Let us try -2, -1/2, 1/2 and 2 to check which conditions meet our criteria.

$-2^{3} --2\geq 0\\-6\leq 0$

$(\frac{-1 }{2}) ^{3} -(\frac{-1}{2}) \geq0$

$\frac{-1}{8} +\frac{1}{2} \geq 0\\\frac{3}{8} \geq 0$

$(\frac{1 }{2}) ^{3} -\frac{1}{2} \geq0$

$\frac{1}{8} -\frac{4}{8} \leq 0$

$2^{3} -2\geq 0\\6\geq 0$

Therefore, we can see that our function is defined when $1\geq x\leq 0$ or $x\geq1$ and domain of f(x) is $[-1,0]\cup [1,\infty )$ .

4 0

3 years ago

Ax + bx - 15 = 0;x<br> How do you solve this?

Pani-rosa [81]

Answer:

Step-by-step explanation:

$ax+bx-15=0\\=> (a+b)x-15=0\\=>(a+b)x=15\\=>x=\frac{15}{(a+b)}$

7 0

3 years ago

Plz answer correctly I don’t wanna fail plz answer!!!!!not much!!!!!!!

Triss [41]

I’m pretty sure yes it is

6 0

3 years ago

Find the unit rate <br> 30 degree drop in 6 hours<br> Show your work

Lynna [10]

The unit rate is 5 degrees per hour.

Further explanation:

Unit rate is how much any quantity changes in one unit of time. For this purpose the change in quantity is divided by the time taken for that change.

Given

$Change\ in\ temperature= C= 30\ degrees\\Time=t=6 hours\\So,\\Unit\ rate= \frac{C}{t}\\Putting\ the\ values\\=\frac{30}{6}\\=5\ degrees\ per\ hour$

The unit rate is 5 degrees per hour.

Keywords: Formulas, Unit rate

Learn more about unit rate at:

#LearnwithBrainly

7 0

4 years ago

Please help with number 14 this is due tomorrow

scoray [572]

The answer is b, if you add 6 to both sides you are left with x is greater than or equal to 16, which is not graphed above.

4 0

4 years ago

Read 2 more answers