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Tatiana [17]
2 years ago
12

Choose the right one I’ll give brainliest if ur right

Mathematics
1 answer:
navik [9.2K]2 years ago
5 0
C is your answer to this
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How would you go about finding the solution to this system of three equations in three variables? Be specific. For example, you
kupik [55]
I:2x – y + z = 7
II:x + 2y – 5z = -1
III:x – y = 6

you can first use III and substitute x or y to eliminate it in I and II (in this case x):
III: x=6+y
-> substitute x in I and II:
I': 2*(6+y)-y+z=7
12+2y-y+z=7
y+z=-5

II':(6+y)+2y-5z=-1
3y+6-5z=-1
3y-5z=-7

then you can subtract II' from 3*I' to eliminate y:
3*I'=3y+3z=-15

3*I'-II':
3y+3z-(3y-5z)=-15-(-7)
8z=-8
z=-1

insert z in II' to calculate y:
3y-5z=-7
3y+5=-7
3y=-12
y=-4

insert y into III to calculate x:
x-(-4)=6
x+4=6
x=2

so the solution is
x=2
y=-4
z=-1
3 0
3 years ago
If f(x)=7x-7 what is f(8)+f(4)
NARA [144]

<u>Given Function is</u>

  • f ( x ) = 7x - 7 ------- eqn ( 1 )

<u>Now , put the value of x = 8 in eqn ( 1 )</u>

  • f ( 8 ) = 7 ( 8 ) - 7
  • f ( 8 ) = 56 - 7
  • f ( 8 ) = 49 ------- eqn ( 2 )

<u>Now , put the value of x = 4 in eqn ( 1 )</u>

  • f ( 4 ) = 7 ( 4 ) - 7
  • f ( 4 ) = 28 - 7
  • f ( 4 ) = 21 ------- eqn ( 3 )
<h3 />

<u>From eqn ( 2 ) nd eqn ( 3 ) we get,</u>

  • f ( 8 ) + f ( 4 )
  • 49 + 21
  • 70

Hope Helps! :)

7 0
2 years ago
Jacob's little brother thinks that he could design a better lion enclosure than the one he sees at the zoo. He makes a drawing o
abruzzese [7]

Answer:

Step-by-step explanation:

<u><em>Length</em></u>

1 inch = 25 feet

7 1/4 inches = x feet

1 * x = 25 * 7 1/4

x = 25 * 7.25

Length = 181.25 feet

The length is 181.25

<em><u>hypotenuse length</u></em>

The diagonal = 10 1/2 inches

The diagonal = 10.5 inches

hypotenuse = 10.5 * 25 = 262.5 feet

<em><u>Width</u></em>

L^2 + W^2 = Diagonal^2

181.25² + W² = 262.5²

32851.5625 + W²  =  68906.25   Subtract 32851.5625 from both sides

W² =  68906.25 - 32851.5625

W^2 = 36054.6875                       Take the square root of both sides

W = 189.88

<u><em>Area</em></u>

Area = L * W

Area = 181.25 * 189.88

Area = 34415.88 square feet.

3 0
3 years ago
Divide. (18x^3 + 12x^2 - 3x) ÷ 6x^2
nlexa [21]

\bold{[ \ Answer \ ]}

\boxed{\bold{\frac{x^3\left(6x^2+4x-1\right)}{2}}}

\bold{[ \ Explanation \ ]}

  • \bold{Divide: \ \left(18x^3\:+\:12x^2\:-\:3x\right)\:\div \:6x^2}

\bold{-------------------}

  • \bold{Rewrite}

\bold{18x^3+12x^2-3x \ = \ x^2\frac{x\left(6x^2+4x-1\right)}{2}}

  • \bold{Rewrite}

\bold{x^2\frac{x\left(6x^2+4x-1\right)}{2}}

  • \bold{Multiply \ Fractions \ (a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c})}

\bold{\frac{x\left(6x^2+4x-1\right)x^2}{2}}

  • \bold{Rewrite}

\bold{x\left(6x^2+4x-1\right)x^2 \ = \ x^3\left(6x^2+4x-1\right)}

  • \bold{Simplify}

\bold{\frac{x^3\left(6x^2+4x-1\right)}{2}}

\boxed{\bold{[] \ Eclipsed \ []}}

3 0
3 years ago
Read 2 more answers
If the sales tax is 3% what is the cost of a pair of shoes with a price of $55?
34kurt
$56.65 

55(.03)= 1.65
1.65+55= 56.65
6 0
4 years ago
Read 2 more answers
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