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Harrizon [31]
3 years ago
15

Hailey was given a box of assorted chocolates for her birthday. Each night, Hailey treats herself to some chocolates. The number

of chocolates remaining in the box tt days after Hailey's birthday can be modeled by the equation C=-4t+24.C=−4t+24. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
Mathematics
2 answers:
olganol [36]3 years ago
7 0

Answer:

C=30-5t

Step-by-step explanation:

The y-intercept of the function is 30 which represents the number of chocolates in the original box.

that's the correct answer^^^^

Llana [10]3 years ago
5 0

Answer:

y intercept is 24 (i think)

Step-by-step explanation:

-4t is x

+24 is y

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23.21
alisha [4.7K]

The equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x

<h3>How to determine the equation?</h3>

The attached table of values represents the missing piece in the question.

Start by calculating the rate of change using:

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

This gives

m = (14.77 - 10.55)/(7- 5)

Evaluate

m = 2.11

The equation is then calculated using:

y = m(x - x1) + y1

This gives

y = 2.11(x - 5) + 10.55

Evaluate

y = 2.11x - 10.55 + 10.55

y = 2.11x

Hence, the equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

4 0
2 years ago
Using a property of operations, what can you say about the sums of (-13.2) + 8.1 and 13.2 + (-8.1)
Wewaii [24]
They are opposites of each other.
-13.2 + 8.1 = -5.1
13.2 - 8.1 = 5.1
4 0
3 years ago
Evaluate the integral e^xy w region d xy=1, xy=4, x/y=1, x/y=2
LUCKY_DIMON [66]
Make a change of coordinates:

u(x,y)=xy
v(x,y)=\dfrac xy

The Jacobian for this transformation is

\mathbf J=\begin{bmatrix}\dfrac{\partial u}{\partial x}&\dfrac{\partial v}{\partial x}\\\\\dfrac{\partial u}{\partial y}&\dfrac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}y&x\\\\\dfrac1y&-\dfrac x{y^2}\end{bmatrix}

and has a determinant of

\det\mathbf J=-\dfrac{2x}y

Note that we need to use the Jacobian in the other direction; that is, we've computed

\mathbf J=\dfrac{\partial(u,v)}{\partial(x,y)}

but we need the Jacobian determinant for the reverse transformation (from (x,y) to (u,v). To do this, notice that

\dfrac{\partial(x,y)}{\partial(u,v)}=\dfrac1{\dfrac{\partial(u,v)}{\partial(x,y)}}=\dfrac1{\mathbf J}

we need to take the reciprocal of the Jacobian above.

The integral then changes to

\displaystyle\iint_{\mathcal W_{(x,y)}}e^{xy}\,\mathrm dx\,\mathrm dy=\iint_{\mathcal W_{(u,v)}}\dfrac{e^u}{|\det\mathbf J|}\,\mathrm du\,\mathrm dv
=\displaystyle\frac12\int_{v=}^{v=}\int_{u=}^{u=}\frac{e^u}v\,\mathrm du\,\mathrm dv=\frac{(e^4-e)\ln2}2
8 0
3 years ago
How to do this question plz answer me step by step plzz plz ​
Iteru [2.4K]

Answer:

£13496.80

Step-by-step explanation:

We can ignore the £ sign for now, that is just units.

If we decrease a number by 4.5%, we will have to find 100-4.5=95.5% of 14132.77.

We can easily do this by setting up a proportion.

\frac{x}{14132.77} = \frac{95.5}{100}

Multiply 14132.77 by 95.5:

14132.77\cdot95.5=1349679.535

Divide by 100:

1349679.535\div100=13496.79535

Rounding this to two decimal places, it simplifies to 13496.80.

Hope this helped!

4 0
3 years ago
Pleasee help !!!!!!!
VLD [36.1K]

Answer: x = -1 and x= -5

Step-by-step explanation:

Try plugging in the solutions for x (remember that whatever number comes out of the absolute value bars is ALWAYS POSITIVE)

4 0
3 years ago
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