All categories

2 years ago

Find the domain of f(x)=square root x^2−36.

1 answer:

5 0

$f(x)= \sqrt{x^{2}-36} \\ \\ D: x^{2}-36 \geq 0 \\ \\ (x-6)(x+6) \geq 0 \\ \\ x+6=0 \ \vee \ x-6=0 \\ \\ x=-6 \ \vee \ x=6 \\ \\ x\in (-\infty,-6 ) \ \cup \ (6,+\infty)$

You might be interested in

Order the numbers from greatest to least:

Natali5045456 [20]

Answer:

44.120 > 44.102 > 44.012

6.002 < 6.020 < 6.200

Step-by-step explanation:

Greatest to Least

4 0

1 year ago

Read 2 more answers

A certain forest can support a population of

ioda

please please bro give me brain list

3 0

1 year ago

Verify whether the indicated numbers are zeroes of their corresponding polynomials.

natita [175]

Answer:

No, incorrect

Step-by-step explanation:

<u>Given</u>

Q(s) = -4s^3 + 7s^2 - 24;
s = -4 and 1

<u>Verifying zeroes</u>

Q(-4) =

-4(-4)^3 + 7(-4)^2 - 24 =
256 + 112 - 24 =
344
Incorrect as 344 ≠ 0

Q(1) =

-4(1)^3 + 7(1)^2 - 24 =
-12 + 7 - 24 =
-29
Incorrect as -29 ≠ 0

8 0

2 years ago

The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?

Snezhnost [94]

Answer:

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

$x + y = 9.9$

$x^{2} + y^{2} = 53.21$

First, $x$ is cleared in the first equation:

$x = 9.9 - y$

Now, the variable is substituted in the second one:

$(9.9-y)^{2} + y^{2} = 53.21$

And some algebra is done in order to simplify the expression:

$98.01-19.8\cdot y +2\cdot y^{2} = 53.21$

$2\cdot y^{2} -19.8\cdot y +44.8 = 0$

Roots are found by means of the General Equation for Second-Order Polynomials:

$y_{1} \approx \frac{32}{5}$ and $y_{2} \approx \frac{7}{2}$

There are two different values for $x$ :

$y = y_{1}$

$x_{1} = 9.9-6.4$

$x_{1} = 3.5$

$y = y_{2}$

$x_{2} = 9.9 - 3.5$

$x_{2} = 6.4$

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

5 0

2 years ago

A surgery asks 25 people if they prefer brand A of brand B laundry detergent. The data show that 12 people prefer brand A. Write

SVETLANKA909090 [29]

Answer:

13 to 25

13:25

$\frac{13}{25}$

Step-by-step explanation:

All of these show the ratio 13/25

Hope this helps!

8 0

2 years ago