Answer:
Choice D is correct
Step-by-step explanation:
The first step is to write the polar equation of the conic section in standard form by dividing both the numerator and the denominator by 2;
The eccentricity of this conic section is thus 1, the coefficient of cos θ. Thus, this conic section is a parabola since its eccentricity is 1.
The value of the directrix is determined as;
d = k/e = 3/1 = 3
The denominator of the polar equation of this conic section contains (-cos θ) which implies that this parabola opens towards the right and thus the equation of its directrix is;
x = -3
Thus, the polar equation represents a parabola that opens towards the right with a directrix located at x = -3. Choice D fits this criteria
Word problem: Today the temperature dropped 13 °F. After this drop, the temperature was 74 °F. What was the original temperature outside before the drop?
Subtraction problem: x °F - 13 °F = 74 °F
Solve: x - 13 = 74
x - 13(+13) = 74 + 13
x = 87 °F
Answer:
try 7,920 miles
Step-by-step explanation:
I just took 8,578 - 658 and got 7,920.
Answer: the sales for the month must be greater than or equal to $6666.7
Step-by-step explanation:
Let x represent her sales for the month.
Liz earns a salary of $2,500 per month, plus a commission of 6% of her sales. If she makes sales worth $s for the month, then her commission for the month would be
6/100 × s = 0.06 × s = 0.06s
Her total income for a month would be
2500 + 0.06s
She wants to earn at least $2,900 this month.
Therefore, the inequality that represents the situation would be
2500 + 0.06s ≥ 2900
0.06s ≥ 2900 - 2500
0.06s ≥ 400
s ≥ 400/0.06
s ≥ 6666.7
Answer: The total cost in dollars of the gas is $77.80.
Step-by-step explanation:
since we have given that
Amount of gallon of gas he bought for the first time = 12.53
Amount of gallon of gas he bought for the second time = 11.86
According to question, He paid $3.19 per gallon both the times that he stopped for gas on a weekend trip.
So, our expression that shows the total cost in dollars of the gas he bought on this trip is given by
Hence, the total cost in dollars of the gas is $77.80.
