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Travka [436]
3 years ago
14

Please Help! Show all the steps!

Mathematics
1 answer:
likoan [24]3 years ago
7 0

You can start by subtracting different equations from each other.

3x + 2y + 3z = 1

subtract

3x + 2y + z = 7

2z = -6

divide by 2

z = -3

add the following two expressions together:

3x + 2y + z = 7

3x + 2y + 3z =1

6x + 4y + 4z = 8

subtract the following two expressions:

6x + 4y + 4z = 8

5x + 5y + 4z = 3

x - y = 5

^multiply the whole equation above by 3

3x - 3y = 15

subtract the following two expressions:

3x - 3y = 15

3x + 2y = 10

-5y = 5

divide each side by -5

y=-1

take the following expression from earlier:

x - y = 5

substitute y value into above equation

x - - 1 = 5

2 negatives make a positive

x + 1 = 5

subtract 1 from each side

x = 4

Therefore x = 4, y = -1, z = -3

I checked these with all 3 equations and they worked :)

(it's quite complicated, comment if you don't understand anything) :)

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A couple needs $55,000 as a down payment for a home. If they invest the $40,000 they have at 4% compounded quarterly, how long w
slava [35]

Answer:

8 years

Step-by-step explanation:

Compound interest formula

A(t)= A_0(1+\frac{r}{n})^{nt}

A(t) is the final amount 55000

A_0= 40000, r= 4% = 0.04, for quarterly n=4

55000=40000(1+\frac{0.04}{4})^{4t}

divide both sides by 40000

1375=(1+\frac{0.04}{4})^{4t}

1375=(1.01)^{4t}

Take ln on both sides

ln(1375)=4tln(1.01)

divide both sides by ln(1.01)

\frac{ln 1375}{ln 1.01}=4t

Divide both sides by 4

t=8.00108

So it takes 8 years

8 0
3 years ago
How many solutions does 6 - 3x = 4 - x - 3 - 2x have?
White raven [17]

Answer:

No Solution

Step-by-step explanation:

6 - 3x = 4 - x - 3 - 2x  (Given)

6 - 3x = -1 -3x (combine like terms)

7 (addition)

The x cancels each other out so no solution.

7 0
3 years ago
-p/3 - 8 = -3 I need the show work too
professor190 [17]

Answer:

-15

Step-by-step explanation:

-3+8-5. 5x3=15 and because it is -p it would be -15.

3 0
2 years ago
Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line. F(–2, 0);
UNO [17]
The line is called the directrix.  Here we have a vertical directrix, so a parabola sideways from usual.

Geometry is best done with squared distances.  The squared distance from an arbitrary point (x,y) to the vertical line x=2 is (x-2)^2.

We equate that to the squared distance of (x,y) to the focus (-2,0): 

(x-2)^2 = (x - -2)^2 + (y - 0)^2

x^2 -4x + 4=x^2 +4x +4 + y^2

-8x = y^2

We could call that done.  A more standard form might be

x =- \dfrac 1 8 \ y^2

8 0
3 years ago
A dog's adult weight is 60 pounds. As a puppy, it is 10% of its adult weight. How much does it weigh as a puppy?
Oksi-84 [34.3K]

Answer:

Puppy weight= 6 pounds

Step-by-step explanation:

Giving the following information:

Adult weight= 60 pounds

Puppy weight rate= 10%

<u>To calculate the weight in pounds of a puppy, we need to use the following formula:</u>

Puppy weight= adult weight*puppy weight rate

Puppy weight= 60*0.1

Puppy weight= 6 pounds

6 0
2 years ago
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