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Charra [1.4K]
3 years ago
11

which equation models the same quadratic relationship as function f? f(x)=x^2+12x+4 a) y=(x-6)^2+40 b) y=(x+6)^2-32 c) y=(x-6)^2

-32 d) y=(x+6)^2+40​
Mathematics
2 answers:
motikmotik3 years ago
7 0

9514 1404 393

Answer:

  b) y=(x+6)^2-32

Step-by-step explanation:

Add and subtract the square of half the x-coefficient to put into vertex form.

  f(x) = x^2 +12x +4 . . . . . given

  y = x^2 +12x +36 +4 -36 . . . . add and subtract (12/2)^2 = 36

  y = (x +6)^2 -32 . . . . . . . . . . . write in vertex form

Kruka [31]3 years ago
7 0

Answer:

<h2>B. Y=(x+6)²-32</h2>

Step-by-step explanation:

hope it helps

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Sum of 4x^3+6x^2+2x^2-3 and 3x^3+3x^2-5x-5 is
spin [16.1K]

9514 1404 393

Answer:

  7x^3 +11x^2 -5x -8

Step-by-step explanation:

Combine like terms.

  (4x^3+6x^2+2x^2-3) + (3x^3+3x^2-5x-5)

  = (4 +3)x^3 +(6 +2 +3)x^2 +(-5)x + (-3 -5)

  = 7x^3 +11x^2 -5x -8

_____

Noting that the first expression contains two x^2 terms, we wonder if you actually want the sum ...

  (4x^3+6x^2+2x-3) + (3x^3+3x^2-5x-5)

  = (4 +3)x^3 +(6 +3)x^2 +(2 -5)x +(-3 -5)

  = 7x^3 +9x^2 -3x -8

8 0
3 years ago
Find the value of x, rounded to the nearest degree.
Mnenie [13.5K]
That is adjacent and huptonuse
soh cah toah
so that is cos

cos(x)=15/21
so tehrfor
cos⁻¹(15/21)=x
where cos⁻¹ means inverse not 1/cos

use your calculator to evaluate cos⁻¹(15/21) in degrees

it is about 44.4153 degres, rounded to 44 degrees
5 0
3 years ago
John has $20.00 to spend for his mother's birthday. A string of pearls and a pair of pearl earrings costs $25.00. They are on sa
Phoenix [80]

Answer:

2.50

Step-by-step explanation:

30% of 25 is 7.50 take that away from 25 gives you 17.50 take that away from 20 gives you 2.50

4 0
3 years ago
Its math help me out?
Hoochie [10]

Its the first one

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7 0
2 years ago
Read 2 more answers
A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers
icang [17]

Answer:

\huge\boxed{14\ \text{and}\ 7}

Step-by-step explanation:

n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right

\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}

\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}

8 0
3 years ago
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