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Charra [1.4K]
2 years ago
10

Rob Barros $15 from his father and then he borrows three dollars more drag numbers to write an equal using negative integers to

represent bobs debit and complete the sentence to show how much money rob his father Numbers may be used once more than once or not at all
Mathematics
1 answer:
Vikentia [17]2 years ago
3 0

Answer:

The amount of money in dollars that Rob owe his father is -$18

Step-by-step explanation:

From the given information:

Rob borrows $15 from his father and then he also borrows $3 more.

Thus, the amount he owes is father is now:

- $15  - $3 = - $18     Since we are using negative integers.

The amount of money in dollars that Rob owe his father is -$18

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4

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9k/65 = 1316/845<br> find k and show work
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k= 1316/117

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Enter your answer and show all the steps that you use to solve this problem.
slamgirl [31]

Answer:

h = -t+20

After 8 hours the candle will be 12 inches

Step-by-step explanation:

We have 2 points (time, inches)

 (3,17)  and (5,15)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (15-17)/(5-3)

   = -2/2

   = -1

We can use point slope form

y-y1 = m(x-x1)

Replace y with h and x with t

h-17 = -1 (t-3)

Distribute

h-17 = -t+3

Add 17 to each side

h-17+17 = -t+3+17

h = -t+20

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3 years ago
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3 years ago
Assuming that the equations define x and y implicitly as differentiable functions x=f(t),y=g(t) find the slope of the curve x=f(
Mumz [18]
The given equations are
x(t+1)-4t \sqrt{x} =9            (1)
2y+4y^{3/2}=t^{3}+t           (2)

When t=0, obtain
x=9 \\ 2y+4y^{3/2}=0 \,\,=\ \textgreater \ \, y(1+2 \sqrt{y} )=0 \,=\ \textgreater \ \,y=0

Obtain derivatives of (1) and find x'(0).
x' (t+1) + x - 4√x - 4t*[(1/2)*1/√x = 0
x' (t+1) + x - 4√x -27/√x = 0
When t=0, obtain
x'(0) + x(0) - 4√x(0) = 0
x'(0) + 9 - 4*3 = 0
x'(0) = 3
Here, x' means \frac{dx}{dt}.

Obtain the derivative of (2) and find y'(0).
2y' + 4*(3/2)*(√y)*(y') = 3t² + 1
When t=0, obtain
2y'(0) +6√y(0) * y'(0) = 1
2y'(0) = 1 
y'(0) = 1/2.
Here, y' means \frac{dy}{dt}.

Because \frac{dy}{dx} = \frac{dy}{dt} / \frac{dx}{dt}, obtain
\frac{dy}{dx} |_{t=0}\, =  \frac{1/2}{3}= \frac{1}{6}

Answer:
The slope of the curve at t=0 is 1/6.



3 0
3 years ago
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