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2 years ago

You buy a used car for 6599. Its value decreases by 12% every year.

1 answer:

4 0

For a, the starting value (intercept) is 6599. The depreciation rate 12%/year. This is where the function y = 6599(1-(rate)^t) comes into play. 6599 is the starting price, rate is the 12%, and t is the time in years. So the equation is: y = 6599(0.88)^t. For part b, simply plug 2.5 in for t which results in $4,794. For part c, same deal, plug in 20 for t, which results in $512. For part d, you have to take the anti-log where 2000 = 6599(0.88)^t... divide both sides by 6599... 2000/6599 = (0.88)^t. Which is approximately 8.5 years.

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If g(x) = 2x + 2 and h(x) = 4x2 + 8x + 8, find a function f such that f ∘ g = h. (Think about what operations you would have to

agasfer [191]

Answer:

Step-by-step explanation:

Hello,

$(\forall x \in \mathbb{R}) (fog)(x)=f(g(x))=f(2x+2)=h(x)=4x^2+8x+8\\\\=(2x+2)^2-2^2+4(2x+2)\\\\=(2x+2)^2+4(2x+2)-4\\\\\text{So, we conclude by.}\\\\\large \boxed{\sf \bf f(x)=x^2+4x-4}$

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1 year ago

Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles

777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A: Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

6 0

2 years ago

The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the e

inna [77]

Answer:

The general equation of a circle is x² + y² - 6x - 16y + 48 = 0 .

Step-by-step explanation:

The standard form of equation of circle.

$(x - h)^{2} + (y - k)^{2} = r^{2}$

Where (h,k) is the centre of a circle and r is the radius.

As given

The center of a circle is located at (3, 8), and the circle has a radius that is 5 units .

Put in the formula

$(x - 3)^{2} + (y - 8)^{2} = 5^{2}$

(By using the formula (a - b)² = a² + b²- 2ab)

As 5² = 25

x² + 9 - 6x + y² + 64 - 16y = 25

x² + y² - 6x - 16y + 9 + 64 = 25

x² + y² - 6x - 16y + 73 = 25

x² + y² - 6x - 16y + 73 - 25 = 0

x² + y² - 6x - 16y + 48 = 0

(As the general equation of a circle are in the form x² + y² + Ax +By + F =0 Where A,B and C are constant .)

Therefore the general equation of a circle is x² + y² - 6x - 16y + 48 = 0 .

6 0

1 year ago

Nina was curious about the height of the Eiffel Tower. She used a 1.2 meter model of the tower and measured its shadow at 2 P.M.

sergeinik [125]

So the tower is going to be larger than the shadow but not to large so let work from there and not to large so the only logical answer is d

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1 year ago

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Which proportion satisfies the geometric mean (altitude) theorem for the triangle?

Degger [83]

D is the correct answer

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2 years ago

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