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3 years ago

Which statements are true about x? Select three options. x ∈ B ⋃ C x ∈ B ∩ C x ∈ A ⋃ C x ∈ A ∩ C x ∈ A

Mathematics

2 answers:

vladimir2022 [97]3 years ago

7 0

Answer:

The correct answers are:

A.) x ∈ B ⋃ C

B.) x ∈ B ∩ C

C.) x ∈ A ⋃ C

x is in the overlap between B and C, so is an element of either and both B and C

x is an element of C, it is also an element of A∪C, since that union includes all elements of A along with all elements of C

blsea [12.9K]3 years ago

5 0

Answer:

1,2,3 are the answers

Step-by-step explanation:

E2020 got it right!!!

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Use linear approximation to approximate √25.3 as follows.

Sophie [7]

The idea is to use the tangent line to $f(x)=\sqrt x$ at $x=25$ in order to approximate $f(25.3)=\sqrt{25.3}$ .

We have

$f(x)=\sqrt x\implies f(25)=\sqrt{25}=5$

$f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}$

so the linear approximation to $f(x)$ is

$L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92$

Hence $m=\frac1{10}$ and $b=\frac92$ .

Then

$f(25.3)\approx L(25.3)=\dfrac{25.3}{10}+\dfrac92=\boxed{7.03}$

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