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3 years ago

9

ryan is planning a party for his parents' anniversary. The caterer charges a delivery fee of $14 plus an additional & 5.25 p

er person. If he can spend no more than $350, how many people can he invite?

1 answer:

Paladinen [302]3 years ago

6 0

Answer:

18 people

Step-by-step explanation:

So for each person, the carter charges $19.25. With $350, you can have 350/19.25 people. This make 18.18 people. You can't have 0.18 of a person, so you can only have 18 people at your party.

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Solve the differential equation. y' + 5xey = 0.

Gwar [14]

Answer:

The solution is $y = - ln(\frac{5}{2}x^{2} + C)$

Step-by-step explanation:

To solve the differential equation, we will find $y$

From the given equation, y' + 5xey = 0.

That is, $y' + 5xe^{y} = 0$

This can be written as

$\frac{dy}{dx} + 5xe^{y} = 0$

Then,

$\frac{dy}{dx} = - 5xe^{y}$

$\frac{dy}{e^{y}} = - 5x dx$

Then, we integrate both sides

$\int {\frac{dy}{e^{y}}} =\int {- 5x dx}$

$\int {e^{-y}dy }} =\int {- 5x dx}$

Then,

$-e^{-y} = -\frac{5}{2}x^{2} + C$

$e^{-y} = \frac{5}{2}x^{2} + C$

Then,

$ln(e^{-y}) = ln(\frac{5}{2}x^{2} + C)$

Then,

$-y = ln(\frac{5}{2}x^{2} + C)$

Hence,

$y = - ln(\frac{5}{2}x^{2} + C)$

8 0

3 years ago

Use properties of operations to find the quotient. -14 ÷ (-4.48)

matrenka [14]

Answer:

3.125

Step-by-step explanation:

-14÷(-4.48)

14÷(4.48)

divide that you will get 3.125

25/8, 3 1/8

is its alternative form.

7 0

3 years ago

Use Pascal's triangle to find the coefficient of the third term in the expansion of (a + b)2.

Alexxandr [17]

Answer:

B

Step-by-step explanation:

(a+b)^2

using Pascal triangle

1 1

1 2 1

1 3 3 1

so the third term in the expansion of (a+b)^2

we use

1 2 1

a^2 + 2ab+b

hence the coefficient of third term is 1

option B is collect

4 0

3 years ago

I need the answer. Please help.

Basile [38]

Angle V = 25 degrees. See the attached picture:

7 0

3 years ago

What transformation has changed the parent function f(x) = (.5)x to its new appearance shown in the graph below?

Simora [160]

Answer:

Last option

−1 • f(x)

Step-by-step explanation:

The function $f(x) = (0.5) ^ x$ passes through point (-1, 2) because:

$f(-1) = (0.5) ^ {-1}= \frac{1}{(0.5)} = 2$

and also goes through the point (0, 1)

Because:

$f(0) = (0.5)^0 = 1$

Then, if the transformed function passes through the point (0, -1) and passes through the point (-1, -2) then this means that the graph of $f(x) = (0.5) ^ x$ reflected on the axis x. This means that if the point $(x_0, y_0)$ belongs to f(x), then the point $(x_0, -y_0)$ belongs to the transformed function

The transformation that reflects the graph of a function on the x-axis is.

$y = cf(x)$

Where c is a negative number. In this case $c = -1$

Then the transformation is:

$y = -1*f(x)$

and the transformed function is:

$f (x) = - (0.5) ^ x$

<h2><em><u>Observe the attached image.</u></em></h2>

8 0

3 years ago

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