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saul85 [17]
3 years ago
6

Please help me :) Thanks!

Mathematics
2 answers:
ohaa [14]3 years ago
7 0
The minimum value for y in the equation y = x² + 12x + 5 is (-6,-31). Here's how I figured it out:

Step 1: Figure out if the parabola is going up or down. If "a" is positive, the parabola will go up. If "a" is negative, the parabola will go down. In your case...

a = 1
Positive
Up
____________________________________________________________

Step 2: Find the Axis of Symmetry.

Formula:      -b             -12               -12
                 --------- =  ------------ =  ------------- = -6
                    2a            2(1)                 2

The axis of symmetry is x = -6.
____________________________________________________________

Step 3: Plug in the value you found for the axis of symmetry for x into your original equation.

f(-6) = -6² + 12(-6) + 5
f(-6) = 36 - 72 + 5
f(-6) = -36 + 5
f(-6) = -31

The minimum gets written as an ordered pair: (-6,-31).
⊕ The axis of symmetry is the first number in the coordinate pair.
⊕ The answer that you get to step 3 is the second number in the pair.
____________________________________________________________

I hope that my answer helps you! This is the method that I use to solve these types of problems, but there are also other methods.


 

Oksanka [162]3 years ago
3 0
X^2+12x+5 = (x+6)^2 -31,

So the minimum value is y = -31. Dunno if -31 or you have to type =-31, I guess just '-31'?

With derivatives:

y' = 2x+12=0, x = -6, then y(-6) = 36-72+5 = -36+5 =-31

Just to be sure!!!! lol
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14 yd
son4ous [18]

Answer:

The volume is 196 cubic yards

Step-by-step explanation:

Given

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Required

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Where:

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So, the equation becomes

Volume = 7yd * 2yd * 14yd

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6 0
2 years ago
Given the polynomail function below, find f(-5) f(x)=x^2-2x-7
SIZIF [17.4K]
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8 0
3 years ago
Determine the x-intercept for 3x + 2y = 14.
spin [16.1K]

First isolate y

3x + 2y = 14

-3x              -3x

2y = -3x + 14

y = -3/2x + 14/2

y = -3/2x + 7

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0 = -3/2x + 7

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x = 14/3

x-in. = (14/3,0)

3 0
3 years ago
Please help!<br> Hard math.
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Answer:

the value of digit 3 in 156.32 =

3 x 0.1 = 0.3


The value of digit 3 in 13 =

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The value of digit 3 in 13 is 10 ten times the value of digit 3 in 156.32

As long as the (digit in ones/single digit) of a number is equal to 3

The value of digit 3 of it is always 10 ten times the value of digit 3 in 156.32


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Solve: 2x+6-10x=30
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