All categories

1 year ago

Suppose r(x) and t(x) are two functions with the same domain, and let

Mathematics

1 answer:

LiRa [457]1 year ago

6 0

Answer:

that's correct answer is yes

Step-by-step explanation:

yes

You might be interested in

1. Eric has $115 to spend on back to school clothes. So far, he has spent $90. Write an inequality to show how much more money E

xz_007 [3.2K]

Eric can spent $29 for now

5 0

3 years ago

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

2 years ago

Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr

Andrew [12]

Answer:

120 miles/6 hours = 20 mph. You need to do the same for the boat going with the current. 120 miles/ 5 hours = 24 mph.

Step-by-step explanation:

5 0

3 years ago

Whats the sqareroot of 33

andre [41]

Answer:

5.744

Step-by-step explanation:

the answer is 5.744 hope it helps!

3 0

3 years ago

Read 2 more answers

Misty is buying a house for $385,000. She is financing $345,500 and obtained a 15 year fixed rate mortgage with the 4.875% inter

Nikitich [7]

345500=pmt[(1-(1+0.04875/12)^(-12×15))/(0.04875/12)]
Solve for pmt
Pmt=2709.75

3 0

3 years ago