Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $25 worth of gasoline. Her friend melody pay for one-half the cost of the car rental only.Choose an expression you could use to determine how much Sophie spent.

Answer:

8x - 4y + 12

Step-by-step explanation:

-2(-4x + 2y - 6)

(-2)(-4x) + (-2)(2y) + (-2)(-6)

(2 * 4x) - (2 * 2y) + (2 * 6)

8x - 4y + 12

me at 1:36pm: oh no,  i hope he got his answer

Answer:

x = 23

Step-by-step explanation:

all you have to do is follow the rules of PEMDAS and treat it like a normal equation of order of operations;

If the function f(x) =(4x² tan x)/sec x , then f'(x) =4( 2x sin(x) + x² cos x) using product rule of differentiation and f'(5) =103.11

Product rule for differentiation states that the differentiation the product of two functions is the product of derivative of first function and second function plus  product of derivative of second function and first function.

If we have consider the differentiation of product of two functions u ,v that we can write product rule as

(u*v)' = u' v  + u v' , where '  represents first derivative  with respect to independent variable

Given f(x) = (4x² tan x)/sec x or we can write it as :

f(x) = (4x² )(sin x) as   1/ sec x is cos x , tan x = sin x / cos x

let u =4x² , v = sin x

Then f(x) =u × v

Using product rule of differentiation:

f'(x) =  u' v + u v'  = (8x sin x) + (4x² cos x) = 4( 2x sin(x) + x² cos x)

To find value of f'(x) at x= 5

f'(5) = 4(10sin5 + 25 cos5) = 103.10569951 = 103.11(rounding off )

Therefore if f(x) = (4x² tan x)/sec x  then f'(x) =4( 2x sin(x) + x² cos x) and f'(5) =103.11

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The domain and the range of the function are given as follows:

a) Domain: -3 ≤ x < 4.

b) Range: -4 < y ≤ 5.

In a graph:

Hence, for the graphed function:

a) Domain: -3 ≤ x < 4.

b) Range: -4 < y ≤ 5.

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Answer:

1/3?

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because all top numbers can go into bottom numbers.

This is between 2 and 3 seconds, excluding both endpoints.

========================================================

Explanation:

t = elapsed time in seconds

h(t) = height of the ball at time t

Replace h(t) with 100. Then get everything to one side.

[tex]h(t)= -16t^2+80t+4\\\\100= -16t^2+80t+4\\\\0 = -16t^2+80t+4-100\\\\0= -16t^2+80t-96\\\\-16t^2+80t-96 = 0[/tex]

Next, we'll use the quadratic formula to isolate t.

Plug in a = -16, b = 80, c = -96 which are the coefficients of the last equation mentioned above.

[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-80\pm\sqrt{(80)^2-4(-16)(-96)}}{2(-16)}\\\\t = \frac{-80\pm\sqrt{256}}{-32}\\\\t = \frac{-80\pm16}{-32}\\\\t = \frac{-80+16}{-32} \ \text{ or } \ t = \frac{-80-16}{-32}\\\\t = \frac{-64}{-32} \ \text{ or } \ t = \frac{-96}{-32}\\\\t = 2 \ \text{ or } \ t = 3\\\\[/tex]

Therefore, the ball's height is greater than 100 ft in the air for the interval [tex]2 < t < 3[/tex]

This is between 2 and 3 seconds, excluding both endpoints.

------------------

Check:

Let's plug in t = 2 to find that...

[tex]h(t)= -16t^2+80t+4\\\\h(2)= -16(2)^2+80(2)+4\\\\h(2)= -16(4)+80(2)+4\\\\h(2)= -64+160+4\\\\h(2)= 100\\\\[/tex]

You should find that h(3) = 100 as well. I'll let you do those steps.

Since h(2) = 100 and h(3) = 100, this confirms the two solutions we found earlier.

Answer:

8

Step-by-step explanation:

Answer: its actually 900

Step-by-step explanation:

Answer: 4x-4 is the correct answer

Step-by-step explanation that is the correct answer

Answer:

y= -2(-6) +5

y= 12+5

y= 17

y= -2(-3) +5

y= 6 +5

y= 11

y= -2(0) +5

y= 0+5

y=5

y= -2(3) +5

y= -6 +5

y= -1

Answer:

y = 46

Step-by-step explanation:

I'm assuming you wanted to solve for y.

x = 5

y = 8(5) + 6

y = 40 +6

y = 46

The solution to the non-linear inequality 5x² + 3x < 0, in interval notation, is: (-0.6,0).

We have to look at the graph of the function relative to the x-axis, as follows:

The inequality for this problem is:

5x² + 3x < 0.

Meaning that the two bullet points above are relevant as we want to find when the function is negative.

The graph of f(x) = 5x² + 3x is given at the end of the answer, and it is negative for:

(-0.6,0).

Which is the solution set for the inequality, and is painted on the graph.

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Answer:

31/8

Step-by-step explanation:

3/1/4 - (-5/8)

13/4 + 5/8

find Lcm of 4 and 8 = 8

multiply their common factors with numerators.

13*2 + 5*1 = 31

=31/8 or 3/7/8 or 3.875

Answer:

3 and 7/8

Step-by-step explanation:

3 1/4 - ( - 5/8 ) = x

13/4 + 5/8 = x

26/8 + 5/8 = x

31/8 = x

x = 3 7/8

The number of adults that are there will be 368 adults.

Let adults = a

Let children = c

The equation to solve the question will be:

a + c = 865 ....... i

30a + 9c = 15513 ...... ii

From equation i, c = 865 - a

Since 30a + 9c = 15513

30a + 9(865 - a) = 15513

30a + 7785 - 9a = 15513

30a - 9a = 15513 - 7785

21a = 7728

a = 7728/21

a = 368

Learn more about equations on:

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Step-by-step explanation:

ummmm ok then hahaha :)

Answer:

25 mpm

Step-by-step explanation:

60 devided by 12 = 5

5 times 5 = 25 mpm

Answer:

your answer should be

Step-by-step explanation:

x=2i or like i should say -2i

i hope its right tbh sometimes i make mistakes doing these

Answer:

2/3 = 6/9

3/5 = 12/20

2/10 = 4/20

1/3 = 2/6

4/6 = 8/12

Answer:

Step-by-step explanation:

The answer is 2 because 2 is a prime number

Answer: 39.13 for 18 plants

Step-by-step explanation:

120/55.20= 2.17 dollars per plant

18*2.17=39.13

Answer: 1 10/39

Step-by-step explanation: