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2 years ago

7

PLEASE HELP, algebra 1

1 answer:

podryga [215]2 years ago

4 0

By intuition, the function of y with respect to x will be:

y = 4x

You can prove this by substitute in each pair of values of x and y

So the constant of relationship is 4

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Round your answer to the nearest hundredth.<br><br> PLEASE HELP ME

g100num [7]

I think you have to multiply

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2 years ago

Which represents the polynomial written in standard form?<br><br> 4m – 2m4 – 6m2 + 9

zmey [24]

If you would like to write the polynomial in standard form, you can do this like this:

4m - 2m^4 - 6m^2 + 9

Writing the polynomial in standard form<span> means that you have to </span>write<span> the terms by descending degree:
</span>- 2m^4 - 6m^2 + 4m + 9

The correct result would be <span>- 2m^4 - 6m^2 + 4m + 9.</span>

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2 years ago

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Sarah is a computer engineer and manager and works for a software company. She receives a

daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = $a$

Given that:

$a_4=129\\a_{10}=207$

Formula for $n^{th}$ term of an Arithmetic Progression is given as:

$a_n=a+(n-1)d$

Where $d$ will represent the number of projects increased every year.

and $n$ is the year number.

$a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)$

Subtracting (2) from (1):

$78 = 6d\\\Rightarrow d =13$

By equation (1):

$129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90$

<em>Number of projects in the first year = 90</em>

<em></em>

<em>b) </em>

Number of projects in the twelfth year =

$a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233$

Each project pays $500

Earnings in the twelfth year = 233 $\times$ 500 = $116500

Sum of an AP is given as:

$S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938$

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 $\times$ 1938 = $969000

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<em />Is it for your kitchen sink or bathroom sink?

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valina [46]

Answer:

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Step-by-step explanation:

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3 years ago