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yaroslaw [1]
2 years ago
14

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)? −8 −4 33 49

Mathematics
2 answers:
lesya692 [45]2 years ago
7 0

Answer:

D. 49

Step-by-step explanation:

alisha [4.7K]2 years ago
4 0

Answer:

y - value of the vertex is 49.

Step-by-step explanation:

Given function is f(x) = -(x - 3)(x + 11)

f(x) = -(x² - 3x + 11x - 33)

     = -(x² + 8x - 33)

     = -(x² + 8x + 16 - 49)

     = -[(x + 4)² - 49]

     = -(x + 4)² + 49

Comparing this equation with the vertex form of a quadratic function,

f(x) = -(x - h)² + k

Where (h, k) is the vertex of the function.

Vertex of the parabola is (-4, 49)

Therefore, y-value of the vertex is 49.

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A plot of land doubles in size by adding x meters to the length and x meters to the width of the land. If the original plot had
Yuri [45]
Given:
plot of land doubles in size.
original plot area 200 by 300 meters

Area = 200m * 300m
A = 60,000 m²  original plot area

60,000m
² x 2 = 120,000 m²

(200m + x)(300m + x) = 120,000 m²

60,000m² + 200m*x + 300m * x + x² = 120,000 m²

x² + 500x + 60,000 = 120,000
x² + 500x + 60,000 - 120,000 = 0
x² + 500x - 60,000 = 0

x = -b <u>+</u> (√b² - 4ac)/2a 

a = 1 ; b = 500 ; c = -60,000

x = -500 + (√500² - 4(1)(-60,000)) / 2(1)
x = (-500 + (√250,000 + 240,000)) / 2 
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x = 200 / 2
x = 100 meters

(200 + x)(300 + x) = 120,000
(200 + 100)(300 + 100) = 120,000
300 * 400 = 120,000
120,000 = 120,000

8 0
3 years ago
What is the volume of a cylinder with a radius of 479.087 and a height of 29.3
erma4kov [3.2K]
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2 years ago
I want the answer please
KatRina [158]

I got 57.63

  1. Divide 38.42 by 18 to find the cost per 1 HCF
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3 years ago
What fraction is greater 1/2 or 6/11
ivolga24 [154]
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6/11 = 0.54

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7 0
2 years ago
Will mark BRAINLIEST and give 5 stars
JulsSmile [24]

Answer:

364

Step-by-step explanation:

Hope this helps.

3 0
3 years ago
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