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3 years ago

Which graph represents the function f(x)=|x−1|−3 ?

Mathematics

2 answers:

Harrizon [31]3 years ago

6 0

Remark

The key to this is the point (1,-3) That point must be found first. C is incorrect because you are using 3 not - 3 which does not change (as C has changed it) through out the problem.

A is using (-1,-3) which makes it wrong. Also the equation is y = -abs(x-1) - 3 which is also a mistake. The given graph points upwards not downwards.

D has it's min point at (-1,-3) which is not correct.

You are left with b which opens upwards (correct) has it's min at (1,-3) [also correct] so the answer is

Answer: B

Tema [17]3 years ago

6 0

Answer:

The answer is B

Step-by-step explanation:

PROOF

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when the wimen sells 90 oranges Rs160 with dicount of 20%,how many oranges she sell by Rs112 with profit of 20%

Fynjy0 [20]

She sold 42 oranges with profit 20%

Step-by-step explanation:

The woman sells 90 oranges by RS.160

This price with discount of 20%

We need to find how many oranges she sell by Rs.112 with profit of 20%

Selling price = cost price - discount ⇒ discount case
Selling price = cost price + profit ⇒ profit case

Assume that cost price of an orange is x

∵ She sells 90 oranges with Rs.160

- Find the selling price of 1 orange by dividing 160 by 90

∴ The selling price of an orange = $\frac{160}{90}=\frac{16}{9}$

∵ She sold them with discount 20%

∵ The cost price of an orange is x

- Find the 20% of x

∵ Discount = 20% × x = $\frac{20}{100}$ × x = 0.2x

- To find the selling price subtract 0.2x from x

∴ The selling price = x - 0.2x

∴ The selling price of an orange = 0.8x

- Equate 0.8x by $\frac{16}{9}$ to find x

∵ 0.8x = $\frac{16}{9}$

- Divide both sides by 0.8

∴ x = $\frac{20}{9}$

Assume that the number of oranges is y

∵ She sell y oranges for Rs.112 with profit 20%

∵ The cost price of an orange is $\frac{20}{9}$

- Find 20% of $\frac{20}{9}$

∵ Profit = 20% × $\frac{20}{9}$ = $\frac{20}{100}.\frac{20}{9}=\frac{4}{9}$

- Add $\frac{4}{9}$ to cost price to find the selling price

∴ The selling price of an orange = $\frac{20}{9}$ + $\frac{4}{9}$

∴ The selling price of an orange = $\frac{24}{9}$

- To find y divide 112 by selling price of an orange

∵ y = 112 ÷ $\frac{24}{9}$

∴ y = 42

She sold 42 oranges with profit 20%

Learn more:

You can learn more about percentage in brainly.com/question/12284722

#LearnwithBrainly

4 0

3 years ago

!!!!(Help me please)!!!!

Leona [35]

Answer:

The correct option is C

Step-by-step explanation:

A: We know that the lower quartile is 144, and the upper quartile is 129.5 is you add them all up it is going to equal 273.3. So we know that A can now be crossed out.

B: We know that the lower quartile is 146, and that means the upper quartile is 136.5. So adding all of these numbers up we ill get 282.5 So now B can be crossed out

C: The lower quartile is 114 and the upper quartile is 129.5 and when we add those two numbers up we are going to get 243.5. So we are going to keep this number

D: For the last one we know the lower quartile is 214 and upper is 129.5, and when we add this we get 343.5. So we can cross this out and the only one we have left is going to be C

Hope this help's

3 0

2 years ago

Read 2 more answers

Scientific notation 9.78 × 10^5 - 732,000 It has to be either 2.46 × 10^5 or 2.46 × 10^3

Morgarella [4.7K]

Answer:

$2.46\times 10^5$

Step-by-step explanation:

$9.78 \times 10^5 - 732,000\\= 9.78 \times 10^5 - 7.32 000\times 10^5\\= 9.78 \times 10^5 - 7.32\times 10^5\\= 2.46\times 10^5$

3 0

3 years ago

PLEASE HELP URGENT Given \tan \theta =0.6, find the value of b.

xxTIMURxx [149]

Answer:

b=8.5cm

Step-by-step explanation:

tanx (this represents tan theta, it's just easier to type) is equal to 0.6 and since the tanx ratio is opp/adj, we know that opp/adj = 0.6

To find what b is (adjacent as it is adjacent to the angle being used and it is not the hypotenuse), we just have to rearrange.

0.6=5.1/adj

to solve for adj, we can switch 0.6 and adj. (This works because to get adj by itself on one side you would multiply it to the other side and then divide 0.6 from both sides --> simple algebra)

so then you have

adj=5.1/0.6

adj=8.5cm

(if you want to check your solution you can use pythagoeran theorem, a^2+b^2=c^2) and sub everything in and make sure all the numbers equal the right thing!

6 0

2 years ago

Round the number 234,679 to the nearest hundred thousand

alexandr1967 [171]

To round numbers to the nearest hundred thousand, make the numbers whose last five digits are 00001 through 49999 into the next lower number that ends in 00000. For example 6,424,985 rounded to the nearest hundred thousand would be 6,400,000.

8 0

3 years ago

Read 2 more answers