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Elina [12.6K]
3 years ago
6

Solve the system of equations by substitution. y = 4x -1 2x + 2y = 3

Mathematics
2 answers:
valkas [14]3 years ago
6 0

Step-by-step explanation:

y = 4x - 1

2x + 2y = 3

2x + 2(4x - 1) = 3

2x + 8x - 2 = 3

10x = 3 + 2

x = 5/10

x = 1/2

y = 4x - 1

y = 4(1/2) - 1

y = 2 - 1

y = 1

(x,y) = (1/2 , 1)

Pani-rosa [81]3 years ago
6 0

Answer:

x = 1/2

y = 1

Step-by-step explanation:

Please give me brainliest :)

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Identify the k-value that makes the relationship shown in the table below proportional.​
uysha [10]

Answer:

The value of k that makes the relationship shown in the table below proportional is \mathbf{\frac{1}{2}}

Step-by-step explanation:

The relation is proportional if y=kx \:or\:k=\frac{y}{x}

Putting values of x and y to find k.

For x =2 and y =1 k is: k=\frac{y}{x}=\frac{1}{2}

For x =4 and y =2 k is: k=\frac{y}{x}=\frac{2}{4} =\frac{1}{2}

For x =6 and y = 3 k is: k=\frac{y}{x}=\frac{3}{6} =\frac{1}{2}

For x = 8 and y = 4 k is: k=\frac{y}{x}=\frac{4}{8} =\frac{1}{2}

For x =10 and y = 5 k is: k=\frac{y}{x}=\frac{5}{10} =\frac{1}{2}

So, The value of k that makes the relationship shown in the table below proportional is \mathbf{\frac{1}{2}}

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3 years ago
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Step-by-step explanation:

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7 0
3 years ago
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3 years ago
Find the polynomial of lowest degree with only real coefficients and having the given zeros. -7i and square root of 2
mario62 [17]

Answer:

x³ - (√2)x² + 49x - 49√2

Step-by-step explanation:

If one root is -7i, another root must be 7i.  You can't just have one root with i.  The other roos is √2, so there are 3 roots.  

x = -7i       is one root,

   (x + 7i) = 0    is the factor

x = 7i       is one root

  (x - 7i) = 0     is the factor

x = √2      is one root

    (x - √2) = 0   is the factor

So the factors are...

(x + 7i)(x - 7i)(x - √2) = 0

Multiply these out to find the polynomial...

(x + 7i)(x - 7i) =  x² + 7i - 7i - 49i²

Which simplifies to

  x² - 49i²        since i² = -1 , we have

    x² - 49(-1)  

 

      x² + 49

Now we have...

(x² + 49)(x - √2) = 0

Now foil this out...

 x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0

     x³ + (√2)x² + 49x - 49√2

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3 years ago
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Rudiy27

Answer:

y = 30x + 75

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the 75 dollars is simply the "down payment" so to say.

m is the constant growth or the continuous growth or the charge per month.

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