Okay, so first divide 336 / 12 to find out how many miles are driven on each gallon. 336 / 12 = 28 So the car travels 28 miles per gallon (mpg).
Then, divide 1,344 / 28 1,344 / 28 = 48
And there's your answer! D) 48 gallons
If these are terms of a geometric sequence, they have a common ratio. That is, ...
... (k -1)/(2(1 -k)) = (k +8)/(k -1)
... (k -1)² = 2(1 -k)(k +8) . . . . . multiply by the product of the denominators.
... k² -2k +1 = -2k² -14k +16 . . . eliminate parentheses
... 3k² +12k -15 = 0 . . . . . . . . put in standard form (subtract the right side)
... 3(k +5)(k -1) = 0 . . . . . . . . . factor
Possible values of k are ... -5, +1. The solution k=1 is extraneous, as it makes the first two terms 0 and the third term 8. (It doesn't work.)
The value of k is -5.
_____
The three terms are 12, -6, 3. The common ratio is -1/2.
Answer:
(C) 5
Step-by-step explanation:
x+7=2y
<em>Subtract 7 from both sides</em>
x=2y-7
2y-7=x
<em>Multiply both sides by 2</em>
4y-14=2x
y=2x−1
<em>Add 1 to both sides</em>
y+1=2x
<u>Combine equations:</u>
y+1=4y-14
<em>Add 14 to both sides</em>
y+15=4y
<em>Subtract y from both sides</em>
15=3y
3y=15
<em>Divide both sides by 3</em>
y=5
<u>The answer is </u><u>(C) 5.</u>
Answer:
the answer is D
Step-by-step explanation:
i got it right
Answer:
Step-by-step explanation:
To find the rate of change of temperature with respect to distance at the point (3, 1) in the x-direction and the y-direction we need to find the Directional Derivative of T(x,y). The definition of the directional derivative is given by:
Where i and j are the rectangular components of a unit vector. In this case, the problem don't give us additional information, so let's asume:
So, we need to find the partial derivative with respect to x and y:
In order to do the things easier let's make the next substitution:
and express T(x,y) as:
The partial derivative with respect to x is:
Using the chain rule:
Hence:
Symplying the expression and replacing the value of u:
The partial derivative with respect to y is:
Using the chain rule:
Hence:
Symplying the expression and replacing the value of u:
Therefore:
Evaluating the point (3,1)