–3y = 15 – 4x rewritten in slope-intercept form is
1 answer:
You might be interested in
Answer:
<u>Step-by-step explanation:</u>
<u> -3x² + 29x - 150 </u>
x³ + 6x² - 3x - 5) -3x⁵ + 11x⁴ + 33x³ - 26x² - 36x - 6
-<u>(-3x⁵ - 18x⁴ + 9x³ + 15x²)</u> ↓ ↓
29x⁴ + 24x³ - 41x² - 36x ↓
-<u>(29x⁴ - 174x³ - 87x² - 145x</u> ↓
-150x³ + 46x² + 109x - 6
-<u>(-150x³ - 900x²+450x+750)</u>
946x² - 341x - 756
Answer:
3.41 feet
Step-by-step explanation:
Area = Length × Breath
Area of the rectangular lawn = 100 × 50
= 5000 feet²
The sidewalk must occupy an area no more than 10% of the total lawn area.
So, the area of the sidewalk would be not more than = 10% × 5000
= 0.10 × 5000
= 500 feet²
Let the width of the sidewalk = x feet
area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)
(100 × x) + ((50 - x) × x) < 500
100x + (50-x)(x) < 500
-x² + 150x < 500
-x² + 150x = 500
-x² + 150x - 500 = 0
By using quadratic formula
or
x = 3.41089 ≈ 3.41 feet or x = 146.58
Therefore, width of the sidewalk would be 3.41 feet.