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Pani-rosa [81]
4 years ago
15

joe purchased his dream car in 2012 for $30000 just three years later. the book value was only $21000 find a linear equation mod

eling the value of the car
Mathematics
1 answer:
mrs_skeptik [129]4 years ago
4 0
Y=30,000-21,000= 9,000
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Find the area of the region bounded by the graphs of f(x)= x^3 + x^2 -6x and
Blizzard [7]
Might be A not sure though
6 0
3 years ago
-4y+4=10x standard form ik its 10x+4y=4 but you need to simplify more please help i need to get it in an hr
LuckyWell [14K]

Answer:

x= (2/5)-(2y/5)      (Im not sure if this is what you need but this is the answer simplified)

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

7 0
2 years ago
Write an exponential function for graph that passes through the following points (-3,80);(-1,20)
padilas [110]

Answer:

y

=

4

(

1

2

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x

Explanation:

An exponential function is in the general form

y

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(

b

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x

We know the points

(

−

1

,

8

)

and

(

1

,

2

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, so the following are true:

8

=

a

(

b

−

1

)

=

a

b

2

=

a

(

b

1

)

=

a

b

Multiply both sides of the first equation by

b

to find that

8

b

=

a

Plug this into the second equation and solve for

b

:

2

=

(

8

b

)

b

2

=

8

b

2

b

2

=

1

4

b

=

±

1

2

Two equations seem to be possible here. Plug both values of

b

into the either equation to find

a

. I'll use the second equation for simpler algebra.

If

b

=

1

2

:

2

=

a

(

1

2

)

a

=

4

Giving us the equation:

y

=

4

(

1

2

)

x

If

b

=

−

1

2

:

2

=

a

(

−

1

2

)

a

=

−

4

Giving us the equation:

y

=

−

4

(

−

1

2

)

x

However! In an exponential function,

b

>

0

, otherwise many issues arise when trying to graph the function.

The only valid function is

y

=

4

(

1

2

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7 0
4 years ago
If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the
Brrunno [24]

Answer:

\left(100\pi - 150\sqrt{3}\right) square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be 10 inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment \sf CH be a height on side \sf AB. Since this triangle is equilateral, the size of each internal angle will be \sf 60^\circ. The length of segment

\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}.

The area (in square inches) of this equilateral triangle will be:

\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}.

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}.

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is 10 inches, the radius of this circle will also be 10 inches.

The area (in square inches) of a circle of radius 10 inches is:

\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi.

The area (in square inches) of the circle that the hexagon did not cover would be:

\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}.

3 0
3 years ago
Fin the original price of a pair of shoes if the sale price is $60 after a 60% discount the original price is
Inessa [10]

Answer:

To add percentages, you have to make the percentage into a decimal with "1" as the whole number if it's lower than 100%.

So, $60 x 1.60 =

$96.00

The original price of the pair of shoes were: $96.00

5 0
3 years ago
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