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konstantin123 [22]

3 years ago

10

How does the graph of the function g(x) = 2x – 4 differ from the graph of f(x) = 2x

1 answer:

Lena [83]3 years ago

5 0

9514 1404 393

Answer:

the y-intercepts differ

Step-by-step explanation:

The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.

The graphs differ in their intercepts.

__

<em>Additional comment</em>

g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.

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What is the ratio of inches to feet on measuring tape?

Zigmanuir [339]

12 inches in 1 foot so 12:1

3 0

3 years ago

$i^5+i^{-25}+i^{45}$<img src="https://tex.z-dn.net/?f=%24i%5E5%2Bi%5E%7B-25%7D%2Bi%5E%7B45%7D%24" id="TexFormula1" title="$i^5+i

gregori [183]

$i^5+i^{-25}+i^{45}$

Rewrite the term $i^{-25}$

$=i^5+\dfrac{1}{i^{25}}+i^{45}$

Expand each term so we have

$=i(i^2)^2+\dfrac{1}{i(i^2)^{12}}+i(i^2)^{22}$

Use the fact that $i^2=-1$

$=i(-1)^2+\dfrac{1}{i(-1)^{12}}+i(-1)^{22}$

Use the fact that $(-1)^{a}=1$ when a is an even number

$=i+\dfrac{1}{i}+i$

Simplify

$=i-i+i$

$=i$

Let me know if you need any clarifications, thanks!

3 0

3 years ago

Read 2 more answers

Pls help I don’t understand I’ll give brainliest

Aloiza [94]

Answer:

$- 32$

Step-by-step explanation:

1) Simplify

$\sqrt{32} \: to \: 4 \sqrt{2}$

$- 8 \sqrt{2} \times \frac{1}{2} \times 4 \sqrt{2}$

2) Use this formula: a/b × c/d = ac/bd.

$- \frac{8 \sqrt{2} \times 1 \times 4 \sqrt{2} }{2}$

3) Simplify.

$- \frac{32 \sqrt{2 \sqrt{2} } }{2}$

4)

$simplify \: 32 \sqrt{2 } \sqrt{2} \: to \: 32 \sqrt{4}$

5) Since 2 × 2 = 4, the square root of 4 is 2.

$- \frac{32 \times 2}{2}$

6) Simplify 32 × 2 to 64.

$- \frac{64}{2}$

7) Simplify 64/2 to 32.

$- 32$

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8 0

3 years ago

Write the number 0.21212121 ... as a fraction

julia-pushkina [17]

Answer:

1.91/9

Step-by-step explanation:

x=0.212121212........ .........1 equation

10x=2.12121212......... ........2 equation

1 equation - 2 equation

9x=1.91

x=1.91/9

therefore 0.212121.....=1.91/9

4 0

3 years ago

Executive Limousine rentals charges an initial fee of $200 and $40 per hour that the limousine is in service. Jet Limousine rent

zavuch27 [327]

At 8 hours of service, the two limousine rental companies charge the same amount.

Step-by-step explanation:

Given,

Initial fee of Executive Limousine rental = $200

Per hour charges of service = $40

Let,

x be the number of hours.

E(x) = 40x+200

Initial fee of Jet Limousine rental = $120

Per hour charges of service = $50

J(x) = 50x + 120

For the charges to be same;

E(x) = J(x)

$40x+200=50x+120\\200-120=50x-40x\\80=10x\\10x=80$

Dividing both sides by 10

$\frac{10x}{10}=\frac{80}{10}\\x=8$

At 8 hours of service, the two limousine rental companies charge the same amount.

Keywords: function, addition

Learn more about functions at:

#LearnwithBrainly

5 0

4 years ago