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3 years ago

Determine if the function represented by the table is linear. Explain.

Mathematics

1 answer:

scoray [572]3 years ago

5 0

Answer:

The given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.

Step-by-step explanation:

Given the table

x -10 -14 -18 -24

y 6 10 16 24

A linear function has a constant change in x and a constant change in y values.

In order to determine whether the table represents the linear function or not, we need to check whether there is constant change in x and y.

It is clear that there is a NO constant change in x

i.e. -14-(-10) = -4, -18-(-14) = -4, -24-(-18) = -6

It is clear that there is a NO constant change in y

i.e. 10-6=4, 16-10 = 6, 24-16 = 8

Therefore, the given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.

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shtirl [24]

Answer: 25 pi

Step-by-step explanation:

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3 years ago

Brian invests £7900 into his bank account.

DENIUS [597]

Step-by-step explanation:

1. use the equation

current amount X interest to the power of years

commpound interest is 2.3%

The starting value is £7900

So: £7900*1.023^5=£8851.26

Therefore, the answer is £8851.26 after 5 years of interest added

Hope this helps!!!

Have a nice day :)

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3 years ago

Brian invests ?1900 into a savings account. The bank gives 3.5% compound interest for the first 2 years and 4.9% thereafter. How

Scorpion4ik [409]

let's check how much is it after 2 years firstly.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &1900\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=1900\left(1+\frac{0.035}{1}\right)^{1\cdot 2}\implies A=1900(1.035)^2\implies A=2035.3275$

Brian invested the money for 6 years, so now let's check how much is that for the remaining 4 years.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &2035.3275\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}$

$\bf A=2035.3275\left(1+\frac{0.049}{1}\right)^{1\cdot 4}\implies A=2035.3275(1.049)^4 \\\\\\ A\approx 2464.54\implies \boxed{\stackrel{\textit{rounded up }}{A=2465}}$

4 0

3 years ago

What is the center of (x + 1)2 + (y - 3)2 = 9?

katrin2010 [14]

The equation of a circle with center at (h,k) is
(x-h)^2+(y-k)^2=radius^2

given
(x-(-1))^2+(y-3)^2=9
center is (-1,3)

first option

5 0

3 years ago

Which sequence shows the numbers in order from least to greatest? A. -2/3 , 1/5 , -3/4 B. 1/5 , -2/3 , -3/4 C. -3/4 , -2/3 , 1/5

Rom4ik [11]

Answer:

C. -3/4, -2/3, 1/5

Step-by-step explanation:

Just from observation, you can tell the 1/5 will be the greatest because all the other fractions are negative. Then, I converted them to decimal form to make it easier.

-2/3 = -0.6666666 (the 6 goes on forever)

-3/4 = -0.75

1/5= 0.20

Then, you put them in order.

-3/4 would be the least .

Followed by, -2/3

Finally, 1/5

7 0

3 years ago