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3 years ago

Please help and explain!

Mathematics

1 answer:

Scrat [10]3 years ago

5 0

K is the slope of the line formed by connecting the points.
Use slope formula:
$\frac{y_2 - y_1}{x_2 - x_1}$
where the 2 points are the end points of the line (First and last going Left to right)
$(x_1,y_1) = (2,7) \\ (x_2,y_2) = (8,28)$
Substitute into slope formula
$k= \frac{28-7}{8-2} = \frac{21}{6} = \frac{7}{2}$
You can check if this is correct by going back to graph and going "up 7" and "over 2" to get from one point to the next.

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An account earns simple interest. $1675 at 4.6% for 4 years

Paul [167]

Answer:

$308.20

Step-by-step explanation:

The simple interest formula i = p·r·t applies here:

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3 years ago

Can someone help me in this plssss I really need it

kompoz [17]

Answer:

$\boxed{-3xy^{2}\sqrt [3] {2x^{2}}}$

Step-by-step explanation:

Your expression is

$\sqrt [3] {-54x^{5}y^{6}}$

Here's how I would simplify it.

$\begin{array}{rcll}\sqrt [3] {-54x^{5}y^{6}} & = & \sqrt [3] {(-1)^{3}\times 2 \times 27 \times x^{2} \times x^{3} \times y^{6}} & \text{Factored the cubes}\\& = & \sqrt [3] {(-1)^{3} \times 3^{3}\times x^{3} \times y^{6}\times 2 \times x^{2}} & \text{Grouped the cubes}\\\end{array}$

$\begin{array}{rcll}& = & \sqrt [3] {(-1)^{3} \times {3^{3}\times x^{3} \times y^{6}}} \times\sqrt [3] { 2 \times x^{2}} & \text{Separated the cubes}\\&=& \mathbf{-3xy^{2}\sqrt [3] {2x^{2}}} & \text{Took cube roots}\\\end{array}$

$\text{The simplified expression is $\boxed{\mathbf{-3xy^{2}\sqrt [3] {2x^{2}}}}$}$

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3 years ago

After a 20% price reduction, a cordless phone sold for $48. What was the phones price before the reduction?

GalinKa [24]

After 20% reduction the price is $48 which means $48 is only 80% of the original price...so let x= original price
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it was $60

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3 years ago

A company increased their profits by 145% from last year. If their profits were $127,000 last year, how much did they make this

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3 years ago

Read 2 more answers

A sports teacher had 1025 sweets. After distributing these equally amongst all the participants in a sports meet, he had just 1

Cerrena [4.2K]

Step-by-step explanation:

Since it remains only 1 sweet, we can subtract it from the total and get the amount of sweets distributed (=1024).

As all the sweets are distributed equally, we must divide the number of distributed sweets by all its dividers (excluding 1024 and 1, we'll see later why):

1) 512 => 2 partecipants

2) 256 => 4 partecipants

3) 128 => 8 partecipants

4) 64 => 16 partecipants

5) 32 => 32 partecipants

6) 16 => 64 partecipants

7) 8 => 128 partecipants

9) 4 => 256 partecipants

10) 2 => 512 partecipants

The number on the left represents the number of sweets given to the partecipants, and on the right we have the number of the partecipants. Note that all the numbers on the left are dividers of 1024.

Why excluding 1 and 1024? Because the problem tells us that there remains 1 sweet. If there was 1 sweet for every partecipant, the number of partecipants would be 1025, but that's not possible as there remains 1 sweet. If it was 1024, it wouldn't work as well because the sweets are 1025 and if 1 is not distributed it goes again against the problem that says all sweets are equally distributed.

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3 years ago