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1 year ago

Find the equation of the linear function represented by the table below in slope-intercept form.

Mathematics

2 answers:

OLEGan [10]1 year ago

7 0

Answer:

y = 8x+7

Step-by-step explanation:

firstly reduce the equation to an arithmetic series starting from the 0th term so:
7, 15, 23, 31, 39....

Secondly, identify the common difference: 8
we now know that the answer must contain 8x

Thirdly, form the equation 8x + c = y where y is a constant. Afterwards insert the values of any given x and y so:
8*0 + c = 7
c = 7
Thusly we now know that the series and thus equation is 8x+7 = y

masha68 [24]1 year ago

5 0

Answer:

y = 8x + 7

Step-by-step explanation:

the equation of a linear function in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = $\frac{y_{2-y_{1} } }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1,15) and (x₂, y₂ ) = (2, 23) ← 2 ordered pairs from the table

m = $\frac{23-15}{2-1}$ = $\frac{8}{1}$ = 8

the ordered pair (0, 7 ) indicates c = 7

y = 8x + 7 ← equation of linear function

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In a race between 18 people, how many ways can the top 5 finishers be arranged?

snow_lady [41]

Answer:

Step-by-step explanation:

This is permutation, since order matters. The formula for us is

₁₈P₅ = $\frac{18!}{(18-5)!}$ which simplifies to

₁₈P₅ = $\frac{18*17*16*15*14*13!}{13!}$

The factorial of 13 cancels out on the top and bottom leaving you with

₁₈P₅ = 18 × 17 × 16 × 15 × 14

which comes to 1,028,160 ways

Another way to look at it is: the first 5 people of 18 finish and the others you don't care about. Once the first place person is first, there are only 4 of the 18 left to finish in second place. Then there are only 3 left to finish in third place, etc. So if we use that reasoning, we don't even need to use the formula, we can just say

18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.

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3 years ago

A three-bedroom house in North Augusta sold for $190,000. If housing prices are expected to increase 1.8% annually in that town,

Ivahew [28]

Answer:

we know that the initial price of the house is $190,000.

We also know that the expected increase is 1.8%, this means that the year zero we have no increase; the price is $190,000.

one year after we have an increase of the 1.8% (or 0.018 in decimal form), this means that the new price is:

$190,000 + $190,000*0.018 = $190,000*(1.018)

another year after, we have:

$190,000*(1.018)*(1.018) = $190,000*(1.018)^2

and etc

The function that models the price as a function of the years, represented as y, is:

P(y) = $190,000*(1.018)^y

If we want to know the price in 5 years, we need to replace y = 5 in the equation:

p(5) = $190,000*(1.018)^5 = $207,726.80

Step-by-step explanation:

hope this helps you

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3 years ago

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ki77a [65]

6x^2 + 4(x^2 - 1) =
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10x^2 - 4 <===

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3 years ago

Read 2 more answers

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Answer:
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3 years ago

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alex41 [277]

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3 years ago