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3 years ago

Select all the correct answers. Which of these relations are functions?

Mathematics

2 answers:

andreev551 [17]3 years ago

6 0

Answer with Step-by-step explanation:

A function is a map from non empty set a to non empty set B such that corresponding to each element of A there exist unique image in B.

A) y=5

Corresponding to each x, there exist a unique element of each element which is 5

Hence, it is a function

B) x= -2

Corresponding to the point -2, there exist more than one image

Hence, it is not a function

C) y=2x-5

Corresponding to each x,the value of y is unique

Hence,it is a function

D) 2y=x-4

Corresponding to each x,the value of y is unique

Hence,it is a function

Hence, Correct options are:

A) y=5

C) y=2x-5

D) 2y=x-4

TEA [102]3 years ago

3 0

The answer is A C D your answer

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3.3^(2x+1)-103^x+1=0 need value of x

photoshop1234 [79]

Answer:

The value of $x$ is approximately -1.531.

Step-by-step explanation:

Let $3.3^{2\cdot x + 1}-103^{x+1} = 0$ , we proceed to solve this expression by algebraic means:

1) $3.3^{2\cdot x + 1}-103^{x+1} = 0$ Given

2) $3.3^{2\cdot x}\cdot 3.3 -103^{x}\cdot 103 = 0$ $a^{b}\cdot a^{c} = a^{b+c}$

3) $(3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0$ $(a^{b})^{c} = a^{b\cdot c}$

4) $(3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0$ $(a^{b})^{c} = a^{b\cdot c}$ /Commutative property

5) $\left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0$ Existence of multiplicative inverse/Definition of division/Modulative property/ $a^{b}\cdot a^{c} = a^{b+c}$

6) $\left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\frac{103}{3.3}$ Existence of additive inverse/Modulative property/ $(a^{b})^{c} = a^{b\cdot c}$

7) $\log \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\log \frac{103}{3.3}$ Definition of logarithm.

8) $2\cdot x\cdot \log \left(\frac{3.3}{\sqrt{103}} \right)= \log \frac{103}{3.3}$ $\log_{b} a^{c} = c\cdot \log_{b} a$

9) $2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3$ $\log_{b} \frac{a}{d}$

10) $x\cdot (2\cdot \log 3.3-\log 103) = \log 103 - \log 3.3$ $\log_{b} a^{c} = c\cdot \log_{b} a$ /Associative property

11) $x = \frac{\log 103-\log 3.3}{2\cdot \log 3.3-\log 103}$ Existence of multiplicative inverse/Definition of division/Modulative property

12) $x \approx -1.531$ Result

The value of $x$ is approximately -1.531.

4 0

3 years ago

I need help will give 20 points

barxatty [35]

Answer:

x=136 degrees

Step-by-step explanation:

A quadrilateral inscribed in a circle has opposite angles that add up to 180 degrees. So x + 44 deg = 180 deg. We can solve this to get x = 136 deg.

I hope this solution was helpful. Happy mathing!

4 0

3 years ago

-8× + 40 >-16 please help

Vesnalui [34]

Answer:

Step-by-step explanation:

$- 8x + 40 > - 16 \: \: \: \: \: add \: - 40 \: to \: both \: sides \\ \\ - 8x + 40 - 40 > - 16 - 40 \\ - 8x > - 56 \\ divide \: both \: sides \: on \: - 8 \: and \: change \: the \: sign \\ \\ x < \frac{ - 56}{ - 8 } \\ x < 7$