Answer:
the answer is A or F (both are the same answer which is 40)
Answer:
x = 1 or x = -4 or x = -6 thus d: is your answer
Step-by-step explanation:
Solve for x over the real numbers:
x^3 + 9 x^2 + 14 x - 24 = 0
The left hand side factors into a product with three terms:
(x - 1) (x + 4) (x + 6) = 0
Split into three equations:
x - 1 = 0 or x + 4 = 0 or x + 6 = 0
Add 1 to both sides:
x = 1 or x + 4 = 0 or x + 6 = 0
Subtract 4 from both sides:
x = 1 or x = -4 or x + 6 = 0
Subtract 6 from both sides:
Answer: x = 1 or x = -4 or x = -6
Answer:
212.5
Step-by-step explanation:
Here's a theorem about triangle areas.
If two similar triangles have sides in the ratio x:y,
then their areas are in the ratio x2:y2
The triangles have sides in the ratio:
LP/LN = 10/25
The two triangles have areas in the ratio 100:625 (4/25)
For every 4 in the small triangle, there are 25 in the larger triangle.
34/4 = 8.5
25 times 8.5 =212.5
7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.
From given question,
252 lb = 36 ft² ..........(1)
The number of pound for an area of 1 square foot is calculated as follows:
x = 1 ft² .......(2)
The area and the amount of gravel are illustrations of proportions.
From (1) and (2) we get an equation,
⇒ x × 36 = 252 × 1
⇒ x = 252/36
⇒ x = 7 lb
We need to find the area that could be covered with 315 lb of gravel
The area to be covered with 315 lb gravel is calculated as follows:
315 lb = y ............(3)
From (1) and (3) we get an equation,
⇒ y × 252 = 36 × 315
⇒ y = 45 ft²
Therefore, 7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.
Learn more about the proportions here:
brainly.com/question/13114933
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