Answer:
1 and 3
Step-by-step explanation:
Part a: 1 and 3
part b: x = −22
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3 rolls of carpet
the square footage of 40ft*60ft=2,400
well then you divide it and you would need 3 rolls because the answer is 2.6 and then you would just round up
Answer:
See below
Step-by-step explanation:
y = x^2 (x + 4) - 25(x + 4)
y = (x + 4)(x^2 - 25)
y = (x + 4)(x + 5)(x - 5)
- x - 5 is a yes
- x + 2 is a no
- x - 4 is a no
Answer:
Yes
Step-by-step explanation:
In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.
With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:
a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true
a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true
b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true
Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.
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Answer:
Danielle earned $979.75 last week.
Step-by-step explanation:
