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3 years ago

Question 1 of 10

Mathematics

1 answer:

Archy [21]3 years ago

3 0

Answer:

A. y = 7(x + 1)²-3

Step-by-step explanation:

Parabola:

$y = 7x^{2} + 14x + 4$

$y = 7(x^{2} + 2x) + 4$

Putting into vertex form, remember that:

$(x + a)^{2} = x^{2} + 2ax + a^{2}$

In this question:

$x^{2} + 2x$ , to put into this format:

$x^{2} + 2x + 1 = (x + 1)^{2}$

We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then

Vertex form:

$y = 7(x^{2} + 2x + 1) + 4 - 7$

$y = 7(x + 1)^{2} - 3$

So the correct answer is:

A. y = 7(x + 1)²-3

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A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a

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Answer: R(x) = 0.25x + 500

Flat fee is computed by:

The sales price of each tile is 0.25 and the customer only bought 10,000 tiles.

So, $0.25 x 10,000 = $2500

So the total sales price per tile sold was $2,500.

The buyer paid $3,000, so the flat fee was included there.

So, $3,000 - $2,500 = $500

So the flat fee was $500.

The revenue function is the total income from producing the units. And it has a equation of: R(x) = price per unit x number of units sold plus any fee that is included

So the function describing the revenue of the tile from this sale is:

R(x) = 0.25x + 500

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3 years ago

What is the recursive rule for the sequence 2, -1, 1/2 , -1/4

Helga [31]

Answer:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

$\frac{-1}{2}$

$\frac{\frac{1}{2}}{-1}$

$\frac{\frac{-1}{4}}{\frac{1}{2}}$

They are all equal to $\frac{-1}{2}$ .

So we are saying:

$\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}$

More formally:

$\frac{a_n}{a_{n-1}}=\frac{-1}{2}$ .

Multiply both sides by $a_{n-1}$ :

$a_n=\frac{-1}{2}a_{n-1}$

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

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3 years ago

Danessa needs to compare the area of one large circle with a diameter of 8 to the total area of 2 smaller circles with a diamete

BaLLatris [955]

Answer:

The answer is: 1, 2, and 6

Step-by-step explanation:

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3 years ago

Read 2 more answers

What type of line is the graph of y = 7? A) Vertical B) Horizontal C) Rising D) Falling

Vitek1552 [10]

Vertical line, because it doesn't have an x-coordinate unit of change so the line would just be straight and vertical along the graph (0, 7).

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3 years ago

You invest 1,600 in an account that pays an interest rate of 6.5% compounded continuously calculate the balance after 6 years

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The amount A when the principal P is compounded continuously is given by the formula :

$A=P E^{rt}$

Here r is rate of interest and t is time .

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Substituting these values in the formula

$A=(1600) e^{0.065 times 6}$

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A=2363.17

Balance after 6years is $2363.17

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3 years ago