Max or min value y=3x^2+6x-5

Answers

Answer 1

Answer: $y = 3x^2+6x-5$

For a parabola $ax^2+bx+c$ the vertex's x equals:

$(-b)/(a)$

$a = 3, b =6$

$x = (-6)/(2*3)$

refine:

$x = -1$

Plug in x = -1 to find the y value :

$y=3(-1)^2+6(-1)-5$

refine :

$y = -8$

Therefore the parabola vertex is :

$(-1,-8)$

if a < 0 , then the vertex is a maximum value

if a > 0, then then vertex is a minimum value

a=3

Therefore $(-1,-8)$ minimum

hope this helps!

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X+3y=3
2x-4y=6

solve the equations

Answers

Subtract the second equation from double the first equation:

2x+6y-2x-(-4y)=0

10y=0

Therefore, y=0. Substituting this into the first equation, we see that:

x+3(0)=3

x=3

Therefore, x=3. The solution to this system is x=3, y=0, or (3, 0).

so divide the second equation by 2
x-2y=3
the first equation is
x+3y=3
subsitute
3=3 so therefor
x-2y=x+3y
subtract x from both sides
-2y=3y

add 2y to both sides
0=5y
ofviously y=0 so subsitute
x-2y=3
x-(2)0=3
x-0=3
x=3

x=3
y=0

Faye owned 1,300 shares of Wonderband Corp. Last week, a 2-for-1 split was executed. The pre-split price per share was w dollars. a. Determine the number of shares Faye owned after the split. b. Write an algebraic expression for the price per share after the split. c. Express the total value of the Wonderband stock Faye owned algebraically after the split.

Answers

Answer:

A = 1/2 1300 = 2600

Step-by-step explanation:

B 1/2 w = 1/2w

c = 1300w before 2600 1/2w = 1300 after

Which of the following values are solutions to the inequality -5 ≤ x + 5? A) -7 B) -10 C) -3

Answers

Answer:

x ≥ -10

Step-by-step explanation:

We can solve the given inequality for the variable x by subtracting 5 from both sides:

-5 ≤ x + 5

- 5 - 5

-10 ≤ x

Optionally, we can swap the sides and flip the sign:

x ≥ -10

Further Note

The '≥' sign means "greater than or equal to", which means that the variable being compared can be either the exact value of the constant or anything greater than it.

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