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LenKa [72]
3 years ago
13

Solve the following system by graphing x + y - 6= 0 x- y = 0

Mathematics
2 answers:
DochEvi [55]3 years ago
7 0

Answer:

(3,3)

Step-by-step explanation:

x + y - 6= 0

x- y = 0

Add the two equations together

x + y - 6= 0

x- y = 0

-------------------

2x - 6 = 0

Add 6 to each side

2x-6+6 = 0

2x = 6

Divide by 2

2x/2 = 6/2

x = 3

Now find y

x-y = 0

3 - y = 0

y = 3

cupoosta [38]3 years ago
4 0

Answer:

Step-by-step explanation:

y=6-x first equation

y=x for the second

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Which equation is equivalent to I = prt?
horsena [70]

Answer: Choice D.  P = i/rt

This is the same as saying P = i/(rt). The parenthesis are preferred in my opinion to indicate we have rt in the denominator and not just r.

======================================

Explanation:

In the original equation, prt is the same as p*r*t. So we multiply p, r and t to get prt.

This can be thought of as p*(rt). To isolate p, we undo the multiplication done to the variable p. We will divide both sides by rt to get

i = prt

i = p*(rt)

i/(rt) = p*(rt)/(rt) ... dividing both sides by rt

i/(rt) = p

p = i/(rt)

5 0
3 years ago
What is the range of function gif g(x) = -2/(x) + 1
Zina [86]

The function g(x) is a rational function, and none of the options represent the range of the function g(x)

<h3>How to determine the range of the function?</h3>

The function is given as:

g(x) = -2/x + 1

The above function is undefined at point x = 0.

This is so because -2/x is undefined.

So, we have:

g(0) = -undefined + 1

g(0) = undefined

This means that the range of the function is:

(-infinity, 1) and (1, infinity)

None of the options represent the range of the function g(x)

Read more about range at:

brainly.com/question/10197594

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5 0
2 years ago
A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra
Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

z=1

\frac{dx}{dt}=430

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

y=2

According to Pythagoras

hypotenuse^2=base^2+perpendicular^2

y^2=x^2+1^2

y^2=x^2+1               .... (1)

Put z=1 and y=2, to find the value of x.

2^2=x^2+1^2

4=x^2+1

4-1=x^2

3=x^2

Taking square root both sides.

\sqrt{3}=x

Differentiate equation (1) with respect to t.

2y\frac{dy}{dt}=2x\frac{dx}{dt}+0

Divide both sides by 2.

y\frac{dy}{dt}=x\frac{dx}{dt}

Put x=\sqrt{3}, y=2, \frac{dx}{dt}=430 in the above equation.

2\frac{dy}{dt}=\sqrt{3}(430)

Divide both sides by 2.

\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}

\frac{dy}{dt}=372.390923627

\frac{dy}{dt}\approx 372

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

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3 years ago
Use exponents to write an expression for one billion
kykrilka [37]
The anser would be 500 with the exponet of 100 solve my multiplying
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Evaluate and answer in standard form:<br><br>4^2/3^2​
Semenov [28]

the answer is : 1.7777

6 0
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