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3 years ago

13

Use integer values of x from -3 to 3 to graph the equation. y = 1/3 ∣x∣ - 2

1 answer:

Sauron [17]3 years ago

4 0

$y=\dfrac{1}{3}|x|-2\\\\for\x=-3\to y=\dfrac{1}{3}\cdot|-3|-2=\dfrac{1}{3}\cdot3=1-2=-1\to(-3;\ -1)\\\\for\ x=0\to y=\dfrac{1}{3}\cdot|0|-2=\dfrac{1}{3}\cdot0-2=-2\to(0;\ -2)\\\\for\ x=3\to y=\dfrac{1}{3}\cdot|3|-2=\dfrac{1}{3}\cdot3-2=1-2=-1\to(3;\ -1)$

The graph in the attachment

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A car valued at £18000 at the start of 2017, depreciated in value by 5% each year for 3 years. How much did it lose in value ove

Anna11 [10]

<u>Answer:</u>

The amount lost over the 3 years s 2567.25£

<u>Explanation:</u>

$\mathrm{F}=\mathrm{I} \times\left(1-\left(\frac{r}{100}\right)\right)^{\mathrm{n}}$

where F = final value after n years

I = initial value of the car in 2017 = £18000 (given)

Since the value is depreciated 5% every year for 3 years,

r = percentage rate of depreciation = 5% (given)

n = 3 years

Substituting these values in formula, we get

$\mathrm{F}=18000 \times\left(1-\frac{5}{100}\right)^{3}$

= $18000 \times\left(\frac{95}{100}\right)^{3}$

= 15432.75£ which is the value of the car after 3 years

Finally 18000-15432.75 = 2567.25£ is the amount lost over this period.

6 0

3 years ago

Describe the error(s) that occurred and show the correct solution.

RideAnS [48]

Answer:

$-x^{2}+4x$

Step-by-step explanation:

we have

$(x^{2}+x)-(2x^{2} -3x)$

step 1

Eliminate the parenthesis

$x^{2}+x-2x^{2} +3x$

The symbol of the term 3x is incorrect, must be positive instead of negative

so

$-(-3x)=+3x$

Group terms that contain the same variable

$(x^{2}-2x^{2})+(x+3x)$

Combine like terms

$-x^{2}+4x$

6 0

3 years ago

This question please i need help

grin007 [14]

Answer: the picture has no answer it's invalid but I will try:

X is a 90 degree angle other than that I can't do anything

Step-by-step explanation:

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3 years ago

Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, a

Ivanshal [37]

The error that Maria made is that she did not divide correctly.

<h3>What error did Maria make?
</h3>

The simple interest that is paid on an amount of money is a function of the amount deposited, time and interest rate.

Simple interest = principal x time x interest rate

2666 = 4300 x 0.062 x t

2666 = 266.60t

t = 2666 / 266.60

t = 10 years

To learn more about simple interest, please check: brainly.com/question/27328409

#SPJ1

3 0

2 years ago

The Omicron Model 99 television costs $450. During a special sale, it’s marked 1⁄3 off. How much money will you save buying this

Fudgin [204]

Answer:

225

Step-by-step explanation:

if it is 1/3 off, then it means it's at 2/3 the price. now, you have to divide 450/2 to get the answer. 2/3 divided by 2=1/3

450/2=225, and thats how much money you will save

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1 year ago