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3 years ago

Solve using substitution x-y= 6 4x+2y=36

Mathematics

1 answer:

Elza [17]3 years ago

5 0

X=6+y
4(6+y) +2y=36
24+6y=36
6y=12
Y=2
X=8

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What would you assume at the beginning of an indirect proof for the following?

stich3 [128]

B. When the sky is cloudy it rains.

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3 years ago

Point Z is equidistant from the vertices of ΔTUV.

nadya68 [22]

Answer:

option C. Angle BTZ Is-congruent-to Angle BUZ

Step-by-step explanation:

Point Z is equidistant from the vertices of triangle T U V

So, ZT = ZU = ZV

When ZT = ZU ∴ ΔZTU is an isosceles triangle ⇒ ∠TUZ=∠UTZ

When ZT = ZV ∴ ΔZTV is an isosceles triangle ⇒ ∠ZTV=∠ZVT

When ZU = ZV ∴ ΔZUV is an isosceles triangle ⇒ ∠ZUV=∠ZVU

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And ∠BUZ is the same as ∠TUZ

So, the statement that must be true is option C

C.Angle BTZ Is-congruent-to Angle BUZ

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4 years ago

Read 2 more answers

Find the value of p .<br><br>(√n)to the power p equal to<br> n

Allushta [10]

Answer:

p=2

$\sqrt{x} * \sqrt{x} = x$

$\sqrt{n} *\sqrt{n} = n$

$\sqrt{n} ^{2} = n$

$\sqrt{n} ^{p} = n$

SO.... P = 2

Step-by-step explanation:

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3 years ago

Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0.

Pepsi [2]

The integral that is needed to solve the demand function is R(x) = 599x - 0.14 $x^{3/2}$

<h3>What is Demand Function?</h3>

A demand function describes the mathematical relationship between the quantity demanded and one or more determinants of the demand, as the price of the good or service, the price of complementary and substitute goods, disposable income, etc.

Here, given differential equation;

R'(x) = 599 - 0.21 $\sqrt{x}$

we can also write this as;

$\frac{d}{dx}R(x) = 599 - 0.21\sqrt{x}$

$d R(x) = (599 - 0.21\sqrt{x} ) dx$

On integrating both sides, we get

$\int\ d R(x) = \int\ (599 - 0.21\sqrt{x} ) dx$

R(x) = $599x - 0.21 X \frac{2}{3}x^{3/2}$ + C

R(x) = 599x - 0.14 $x^{3/2}$ + C ...........(i)

Also given, at x = 0, R(x) = 0, Put these values in equation (i), we get

0 = 0 - 0 + C

C = 0

Put the value of C in equation (i), we get

R(x) = 599x - 0.14 $x^{3/2}$

Thus, the integral that is needed to solve the demand function is R(x) = 599x - 0.14 $x^{3/2}$

Learn more about Demand Function from:

brainly.com/question/20564722

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2 years ago

Which function below is the inverse of f(x) = x2 − 25?

Viktor [21]

$f(x) = x^{2} - 25$
Let f(x) = y
thus y = $x^{2} - 25$
switch the position of y and x in the equation
$x = y ^{2} - 25$
then solve for y in this case
$x + 25 = y^{2} 
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∴ y= $\sqrt{x + 25}$

Thus, $f^{-1} (x) = \sqrt{x + 25}$

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3 years ago

Read 2 more answers