Which equation has an a-value of 1 ,a b- value of -3 and a c value of -5

The options are not given, so I will answer in a general way:

A quadratic equation can be written, in general form, as:

y = a*x^2 + b*x + c

Then if we want this, we need to replace:

a = 1

b = -3

c = -5

Then the equation that we want is:

y = x^2 - 3*x - 5

Is likely that the options are in the factorized way to write a quadratic equation (so it is kinda harder to you)

Such that the factorized way is written as:

y = (x - k)*(x - h)

where k and h are the roots of the quadratic equation.

So you just need to expand that expression and find the one that looks like:

y = x^2 - 3*x - 5

Just to be complete, let's find the factorized form of this particular quadratic equation.

The roots are given by:

0 = x^2 - 3*x - 5

And the two solutions are given by Bhaskara's formula:

The two roots are:

h = (3 + 5.39)/2 = 4.195

k = (3 - 5.39)/2 = -1.195

Then the factorized form is:

y = (x - 4.195)*(x + 1.195)

i need a picture

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .