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2 years ago

How many places do you need to move the decimal to the left to write the

Mathematics

1 answer:

NikAS [45]2 years ago

3 0

Answer: 6 x 10^12

Step-by-step explanation:

Move the decimal to the left so there is one non-zero digit number left of the decimal point. This will be the exponent placed on 10

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What does the word by means in 6 by 6

yawa3891 [41]

It is something that you see often. In the problem it may say what is the area of a square that is 6in by 6in. The BY represent multiplication

6 0

2 years ago

Read 2 more answers

Find the vertical and horizontal asymptotes, domain, range, and roots of f (x) = -1 / x-3 +2.

gladu [14]

Answer:

Vertical asymptote: $x=3$

Horizontal asymptote: $f(x) =2$

Domain of f(x) is all real numbers except 3.

Range of f(x) is all real numbers except 2.

Step-by-step explanation:

Given:

Function:

$f (x) = -\dfrac{1 }{ x-3} +2$

One root, $x = 3.5$

To find:

Vertical and horizontal asymptote, domain, range and roots of f(x).

Solution:

First of all, let us find the roots of f(x).

<em>Roots of f(x) means the value of x where f(x) = 0</em>

$0= -\dfrac{1 }{ x-3} +2\\\Rightarrow 2= \dfrac{1 }{ x-3}\\\Rightarrow 2x-2 \times 3=1\\\Rightarrow 2x=7\\\Rightarrow x = 3.5$

One root, $x = 3.5$

Domain of f(x) i.e. the values that we give as input to the function and there is a value of f(x) defined for it.

For x = 3, the value of f(x) $\rightarrow \infty$

For all, other values of $x$ , $f(x)$ is defined.

Hence, Domain of f(x) is all real numbers except 3.

Range of f(x) i.e. the values that are possible output of the function.

f(x) = 2 is not possible in this case because something is subtracted from 2. That something is $\frac{1}{x-3}$ .

Hence, Range of f(x) is all real numbers except 2.

Vertical Asymptote is the value of x, where value of f(x) $\rightarrow \infty$ .

$-\dfrac{1 }{ x-3} +2 \rightarrow \infty$

It is possible only when

$x-3=0\\\Rightarrow x=3$

$\therefore$ vertical asymptote: $x=3$

Horizontal Asymptote is the value of f(x) , where value of x $\rightarrow \infty$ .

$x\rightarrow \infty \Rightarrow \dfrac{1 }{ x-3} \rightarrow 0\\\therefore f(x) =-0+2 \\\Rightarrow f(x) =2$

$\therefore$ Horizontal asymptote: $f(x) =2$

Please refer to the graph of given function as shown in the attached image.

5 0

3 years ago

A model car has a scale factor of 1 64 164 The diameter of a tire on the model is 0.41 inches. So, the diameter of the tire on a

Alchen [17]

Answer: 26.24 inches

Step-to-step explanation:

Given:

The scale factor to model car= $\frac{1}{64}\ inches$

Thus, if diameter of tire of the actual car is k then diameter of model car = $\frac{1}{64}k$

Since, the diameter of tire of the model car= 0.41 inches

$\\\Rightarrow\frac{1}{64}k=0.41\\\Rightarrow\ k=0.41\times64\\\Rightarrow\ k=26.24\ inches$

hence, the diameter of tire of the actual car= 26.24 inches

7 0

3 years ago

If 3 + 0.7 is equal to 0.7 plus a number, what do you know about the number?

Delicious77 [7]

Answer:

I'm not sure of the answer choices but your answer would be 3.

Step-by-step explanation:

We know that 3 + 0.7 = 3.7, you can take this information and reverse it. 3.7 - 0.7 = 3.

5 0

3 years ago

HELP ASAP Write an equation for a line that satisfies the given conditions which are through (9,5); slope 0

Darina [25.2K]

Answer:5=0+9

Step-by-step explanation:

8 0

3 years ago