a Car has a 15 gallon gas tank . I f a car gets 32 miles per gallon and travels 384 miles . how much gas will be left in the tan
1 answer:
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Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r = = 6
Answer: a) degree and sign
b) end behavior: left side → +∞, right side → -∞
c) x-intercepts: x = -1.3, 0.3, 1.0
<u>Step-by-step explanation:</u>
end behavior can be determined by two things:
1) the degree of the polynomial:
- if the degree is an even number, then the end behavior will be the same for both the left and right sides.
- if the degree is an odd number, then the end behavior will be different for both the left and right sides.
2) the sign of the leading coefficient:
- If the leading coefficient is positive, then the end behavior of the right side goes to positive infinity
- If the leading coefficient is negative, then the end behavior of the right side goes to negative infinity
W(x) = -5x³ + 7x - 2
Degree: 3 (odd)
Leading Coefficient: negative
So, end behavior is: right side goes to negative infinity, right side goes to positive infinity.
See attachment for x-intercepts. <em>I set the x-axis to represent tenths </em>
