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Aleonysh [2.5K]
3 years ago
7

gina decided to order some clothes from a catalog. she ordered 3 pairs of jeans at $39 dollars each, 4 t-shirts at 15 dollars ea

ch and 2 skirts at $27 dollars each. What was her total bill?
Mathematics
1 answer:
insens350 [35]3 years ago
3 0
$39 x 3 = $117
$15 x 4 = $60
$27 x 2 = $54
$117 + $60 + $54 = $231
Gina's total bill was $231
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Irina-Kira [14]
To solve for x, you first add 5 to both sides so it remains equal.

3 + x = 2

Then you simply subtract 3 on both sides.

x = -1

Substitute your solution into the equation and see it is true.

|3+(-1)) - 5 = -3

The equation is true, therefore your answer is: x = -1
5 0
2 years ago
Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).
NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

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Now, differentiate to obtain

\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}

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To obtain the required form, extract a factor in both the numerator and denominator:

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3 years ago
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Allisa [31]

Answer:

Step-by-step explanation:

Given that,

f(3) = 2

f'(3) = 5.

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The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".

At x = a, y = f(a) and the slope of the tangent line is f'(a).

So, in point slope form, the tangent line has equation

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The linearization solves for y by adding f(a) to both sides

f(x) = f(a) + f'(a)(x − a).

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f(3) = 2,

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Therefore,

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f(2.85) = 2 + 5(2.85 - 3)

f(2.85) = 2 + 5×-0.15

f(2.85) = 2 - 0.75

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