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Xelga [282]
2 years ago
14

Three more than twice the sum of a number and half the number equals 105. Which equation models this relationship?

Mathematics
1 answer:
AlekseyPX2 years ago
7 0

Answer:2(x+1/2x)+3=105

Step-by-step explanation: that is how i got my answer. If not a similar answer i would go with 2x+3=3x+105.

You can automatically eliminate the first answer. The second one has a random 5, so eliminated. and the last one just isn't correct.

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4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail
Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

h^{-1}(x)=\sqrt{\frac{x+1}{3}} ⇒ answer D

Step-by-step explanation:

* <em>Lets explain how to find the inverse of a function</em>

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = f^{-1}(x)

* <em>Lets use these steps to solve the problems</em>

∵ f(x)=\sqrt{x-3}

∵ f(x) = y

∴ y=\sqrt{x-3}

- Exchange x and y

∴ x=\sqrt{y-3}

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by f^{-1}(x)

∴ f^{-1}(x)=x^{2}+3

∵ g(x) = x² + 3

∴ f^{-1}(x)=g(x)

∴ <u><em>The functions are inverses to each other</em></u>

* <em>Now lets find f(g(x))</em>

- To find f(g(x)) substitute x in f(x) by g(x)

∵ f(x)=\sqrt{x-3}

∵ g(x) = x² + 3

∴ f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x

∴ <u><em>f(g(x)) = x</em></u>

∴ The functions are inverses; f(g(x)) = x

* <em>Lets find the inverse of h(x)</em>

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ \frac{x + 1}{3}=y^{2}

- Take √ for both sides

∴ ± \sqrt{\frac{x+1}{3}}=y

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ \sqrt{\frac{x+1}{3}}=y

- replace y by h^{-1}(x)

∴ h^{-1}(x)=\sqrt{\frac{x+1}{3}}

4 0
3 years ago
An engineering student is studying the effects of cryogenic treatments on a particular material. The treatment involves cooling
kvv77 [185]

The true statement about the graph from the attached image below is: The material's temperature reaches a minimum at 15 hours.

<h3>What is the parabolic graph of the quadratic equation?</h3>

The parabolic graph is a curved U-shaped graph that is established from a quadratic equation.

The parabola of the graph can be downward creating a maximum or upward (minimum).

From the given image, the correct interpretation shows that as a result of cryogenic treatment, the material's temperature reaches a minimum at 15 hours.

Learn more about parabolic graphs here:

brainly.com/question/33428

#SPJ1

8 0
2 years ago
90 is what percent of 150
nataly862011 [7]

Answer:

60%

Step-by-step explanation:

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9. Zane owes his dad money for his cell phone that he
ozzi

Answer:

T=45m+23

Step-by-step explanation:

6 0
2 years ago
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What is the missing length?<br> 10 yd<br> =<br> Area of shaded region<br> 50 yd?
Oksanka [162]

Answer:

Hope the picture will help you. Make sure to mark my answer brilliant

3 0
2 years ago
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