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Misha Larkins [42]
3 years ago
13

Solve the equation by completing the square: z^2 - 2z = 323

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

Answer: A. -17 , 19

Step-by-step explanation:

Move all terms to one side.

z^2-2z-323=0

​

​​z^2 −2z−323=0

Factor : z^2-2z-323

​​ z^2−2z−323.

(z-19)(z+17)=0(z−19)(z+17)=0

Solve for z.

z=19,−17

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A line with a slope of 1/4 passes through (-1,-4). Write the equation of the line in general form.
Assoli18 [71]

Answer:

Step-by-step explanation:

y = mx + b

slope(m) = 1/4

(-1,-4)...x = -1 and y = -4

now sub and find b, the y intercept

-4 = 1/4(-1) + b

-4 = -1/4 + b

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-16/4 + 1/4 = b

-15/4 = b

so the equation in slope intercept form is : y = 1/4x - 15/4

but we need it in general form : Ax + By + C = 0

y = 1/4x - 15/4.....multiply everything by 4 to get rid of fractions

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4 0
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2 years ago
The table represents the function f (x) = 3x – 1.
Kruka [31]

Answer:2.0/5  68  The 1st table represents a function

Step-by-step explanation:

* Lets explain how to solve the problem

- Function is a relation where each input has a single output

- The notation of the function is f(x) = y , where x is the input of the

function and y is the out put of the function

-  The domain of the function is x and the range of the function is y

* Lets find which table represent a function

# First table:

     x      y

    -3      -1

     0      0

    -2      -1

- In the first table

∵ -3 has only -1

∵ 0 has only 0

∵ -2 has only -1

∵ 8 has only 1

∵ Every x has a single y

∴ The table represents a function

∴ The 1st table represents a function

- In the second table

   x       y

   -5       -5

    0       0

   -5       5

    6       -6

∵ x = -5 has y = -5 and y = 5

∴ One x has two values of y

∴ The table doesn't represent a function

- In the third table

    x          y

   -4         8

   -2         2

   -2         4

    0         2

∵ x = -2 has y = 2 and y = 4

∴ One x has two values of y

∴ The table doesn't represent a function

- In the fourth table

    x          y

   -4         2

    3         5

   -4         0

∵ x = -4 has y = 2 and y = 0

∴ One x has two values of y

∴ The table doesn't represent a function

4 0
3 years ago
Read 2 more answers
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