If the y = ( x - 6)( x + 12) is graphed in the xy – plane, what is the x-coordinate of the parabola’s vertex?Please with steps and formula thx!
Answers
Answer:
B) -3
Step-by-step explanation:
The zeros of the function are found easily from the factors. They are 6 and -12. The x-coordinate is halfway between them, at (6 + (-12))/2 = -6/2 = -3.
If you want a formula, consider a quadratic with roots (zeros) p and q. Then it factors as
... y = (x -p)(x -q)
The line of symmetry through the vertex is also the line of symmetry between the roots, so has x-coordinate:
... x = (p+q)/2
___
In your problem, you have p=6, q=-12, so x = (p+q)/2 = -6/2 = -3 is the line of symmetry and the x-coordinate of the vertex.
The vertex of a parabola is the minimum or the maximum point on the parabola
The x-coordinate of the vertex is -3
The equation is given as:
Open brackets
Differentiate
Set to 0
Collect like terms
Divide both sides by 2
Hence, the x-coordinate of the vertex is -3
Read more about vertex at:
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If 1+9+8=1 what is 2+8+9?
What is 2/5 of it?
Answers
2/5 = 40% (2 ÷ 5 = 0.40) so 2.55 × 2 = 5.10
Happy to Help!
Answers
Answer: 75
regular price ---- x
it said the 20% discount came to $15
so,
.2x = 15
x = 15/.2 = 75
Hope this helps :)
Please consider marking my answer the Brainliest!
$439
$422.95
$385.89
Answers
The monthly payment given based on its computation was $440.10. The closest answer is 440.32.
The difference in decimal point is due to the rounding off of 8.78 points to 8.8 points in the calculator.
Answers
Hope this helps :)
5 inches
9 inches
10 inches
Answers
The length of the side of the original cube in the given scenario is 5 inches.
A cube is a three-dimensional figure with equal sides.
Given that
The length of the edge of a cube = x
Also, one of the sides is increased by 4 inches, and another side is doubled,
so, now the new dimensions are x, x+4, 2x, and the shape is a rectangular prism.
The area of the rectangular prism = 450 sq. inches
base × height × length = 450 sq. inches
x × (x + 4) × 2x = 450
2x³ + 8x² = 450
2x³ + 8x² - 450 = 0
x³ + 4x² - 225 = 0
Substitute x=5 to see that it is a root of the equation,
5³ + 4(5)² - 225 = 125 + 100 - 225 = 0
So, x - 5 is a factor of the equation,
Now,
x³ + 4x² - 225 = (x−5)(x² + 9x + 45) = 0
The roots of the quadratic equation are imaginary as
D = 9² - 4 × 1 × 45 = 81 - 180 = -99
The discriminant is negative, therefore, the roots are not real.
So, the length of the side of the original cube is 5 inches.
Learn more about Cubes here:
#SPJ4
Answers
Answer:
they probably do it just to get more answer points or whatever the brianily thing is called
Step-by-step explanation: