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3 years ago

What graph shows the system of linear equations for which (-3/2,0) is a solution

Mathematics

1 answer:

Tamiku [17]3 years ago

8 0

Answer:

See description.

Step-by-step explanation:

Any graph where the two lines intersect at (-3/2, 0) will be the correct graph.

Here is an attached example.

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A submarine is 50 meters below sea level. It goes up 15 meters, then goes down 40 meters. What is the submarine's new position r

Vikki [24]

The answer would be B -75 meters

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3 years ago

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2/3+1/5x=5/6 showing work too plz

Lana71 [14]

Answer:x = 6/5

Step-by-step explanation:

The given expression is

2/3+1/5x=5/6

The Lowest common multiple of 2, 5x and 6 is 30x. We would multiply the left hand side of the equation and the right hand side of the equation by 30x. It becomes

2/3 × 30x + 1/5x × 30x = 5/6 × 30x

= 20x + 6 = 25x

Subtracting 20x from the left hand side and and the right hand side of the equation, it becomes

20x - 20x + 6 = 25x - 20x

5x = 6

x = 6/5

4 0

3 years ago

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Edgar purchased a home for $182,100 to home appreciates about 3.5% each year what is the value of the home after 12 years

olasank [31]

Answer:

the value of the home after 12 years =$275,165.60

Step-by-step explanation:

To find value of appreciation after 12 years

We apply exponential growth formula

$y=a(1+r)^x$

Where a represents the initial amount (purchased amount)

a= 182,100

r = rate of interest ( appreciation percentage) = 3.5% = 0.035

x represents the time period= 12 years

Plug in all the values

$y=a(1+r)^x$

$y=182100(1+0.035)^12$

y= 275165.6025027724

y=$275165.60

5 0

3 years ago

Log5(5)=x<br> solve for x

Ilia_Sergeevich [38]

Answer:

x = 1

Step-by-step explanation:

Using the rule of logarithms

$log_{b}$ b = 1

That is the logarithm of a number to the same base is 1

Given

$log_{5}$ 5 = x , hence x = 1

6 0

4 years ago

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Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)

Amanda [17]

Answer:

$f_x(x,y,z)=4\sin (y-z)$

$f_x(x,y,z)=4x\cos (y-z)$

$f_z(x,y,z)=-4x\cos (y-z)$

Step-by-step explanation:

The given function is

$f(x,y,z)=4x\sin (y-z)$

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

$f_x(x,y,z)=4(1)\sin (y-z)$

$f_x(x,y,z)=4\sin (y-z)$

Differentiate partially w.r.t. y and x, z are constants.

$f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)$

$f_y(x,y,z)=4x\cos (y-z)$

Differentiate partially w.r.t. z and x, y are constants.

$f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)$

$f_z(x,y,z)=4x\cos (y-z)(-1)$

$f_z(x,y,z)=-4x\cos (y-z)$

Therefore, the first partial derivatives of the function are $f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)$ .

4 0

3 years ago