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1 year ago

What are the domain and range of the function (x)=3/4x+5?

Mathematics

1 answer:

solmaris [256]1 year ago

7 0

Answer: Option (1)

Step-by-step explanation:

The domain and range of all linear functions is the set of real numbers.

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Find the zero of: f(x)=5x+195

monitta

Answer:

(x + 39) or x = -39

Step-by-step explanation:

Set f(x) to 0

0 = 5x + 195

5x = -195

x = -39

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2 years ago

Find the measure of angle x in the figure below: to 55° 55° O 65 0709 0110°

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Answer:

110 is the answers for the question

Step-by-step explanation:

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the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years

Yuliya22 [10]

Answer: 125 g

<u>Step-by-step explanation:</u>

$A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k$

$\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125$

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2 years ago

Sebastian has 12 more trophies than Megan. Megan has t trophies. How many trophies does Sebastian have? Write your answer as an

ikadub [295]

Answer:

t + 12 = s

Step-by-step explanation:

t (Megan's trophies) + 12 = s (Sebastian's trophies)

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