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3 years ago

John wants to represent 30% more than a number he writes 1.30x is he correct

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

8 0

0.39 I believe is the answer

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I really really really need help!!!!

Yakvenalex [24]

For $f$ to be continuous at $x=1$ , you need to have the limit from either side as $x\to1$ to be the same.

$\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^-}(|x-1|+2)=2$
$\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1^+}(ax^2+bx)=a+b$

If $a=2$ and $b=3$ , then the limit from the right would be $2+3=5\neq2$ , so the answer to part (1) is no, the function would not be continuous under those conditions.

This basically answers part (2). For the function to be continuous, you need to satisfy the relation $a+b=2$ .

Part (c) is done similarly to part (1). This time, you need to limits from either side as $x\to2$ to match. You have

$\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2^-}(ax^2+bx)=4a+2b$
$\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2^+}(5x-10)=0$

So, $a$ and $b$ have to satisfy the relation $4a+2b=0$ , or $2a+b=0$ .

Part (4) is done by solving the system of equations above for $a$ and $b$ . I'll leave that to you, as well as part (5) since that's just drawing your findings.

8 0

2 years ago

Find the domain and range

victus00 [196]

Answer:

Domain) all x

Range) 1

Step-by-step explanation:

The domain is the x values and the range is the y values

In this case anything could be x, and y can only be 1

6 0

2 years ago

Podręcznik matematyka z kluczem 7 zad 1 strona 66 zamień ułamek dziesiętny pewnej wielkości na procent tej wielkości.

Lisa [10]

Answer:

1. 0.05 is 5%

2. 0.78 is 78%

3. 1.39 is 139%

4. 0.6 is 60%

5. 3.08 is 308%

6. 0.2 is 20%

7. 0.67 is 67%

8. 2.8 is 280%

Step-by-step explanation:

To find the percent if the decimal is given, you have simply multiply the decimal by 100. So,

1. 0.05 is 5%

2. 0.78 is 78%

3. 1.39 is 139%

4. 0.6 is 60%

5. 3.08 is 308%

6. 0.2 is 20%

7. 0.67 is 67%

8. 2.8 is 280%

8 0

2 years ago

Add and subtract mixed numbers

iris [78.8K]

Answer:

1: 8 2/5

Step-by-step explanation:

4x5=20+3=23

3x5=15+4=19

23+19=42

42/5= 8 2/5

6 0

2 years ago

If a person draws 2 cards at random from a standard deck of 52 cards, what is the probability that they get 2 aces?

dangina [55]

Answer:4/52=1/13

Step-by-step explanation:

The deck has 52 cards and contains 4 aces. When you draw a card, the probability of drawing an ace is 4/52=1/13

8 0

3 years ago