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2 years ago

What set of numbers does ^22 fall between

Mathematics

1 answer:

Licemer1 [7]2 years ago

5 0

Answer:

4 and 5

Step-by-step explanation:

If you mean what $\sqrt{22}$ falls into, you would get something in between 4 and 5.

We can solve this by first finding a square root that is higher than that, which is $\sqrt{25}$ and $\sqrt{16}$ .

If we go by that $\sqrt{22}$ falls in between 4² and 5².

Cheers!

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Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

4 0

3 years ago

Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS,and 25 cents per off-peak time SMS.

algol [13]

Answer:

Anita's monthly bill will be $164.25.

Step-by-step explanation:

Since Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS, and 25 cents per off-peak time SMS, if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month To determine what will her monthly bill come to, the following calculation must be performed:

100 + (0.85 x 45) + (0.25 x 105) = X

100 + 38.25 + 26.25 = X

138.25 + 26.25 = X

164.25 = X

Therefore, her monthly bill will be $ 164.25.

6 0

3 years ago

5TH GRADE LEVEL QUESTION: LOOK AT PHTO AND ANSWER HANDING OUT BRAINLIEST.

mafiozo [28]

Answer:

The volume of Jill's rectangular prism is 40 cm^3

Step-by-step explanation:

w*l*h=area

2*2*10

4*10

40 cm^3

Hope this helps!!

5 0

3 years ago

If f(x)=xsquare find f inverse x

vovangra [49]

F^-1= positive or negative x square root

8 0

2 years ago

68/100 as a fraction? <br> 5/10 as a fraction?

horsena [70]

Answer:

68/100 - 17/25

5/10 - 1/2

Step-by-step explanation:

You have to simplify both into lowest term.

8 0

2 years ago