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4 years ago

Is the following relation a function?

Mathematics

2 answers:

kipiarov [429]4 years ago

7 0

No because the 0 is pointing towards the 1 and the 3 it should only have one input and output.

zysi [14]4 years ago

3 0

Yes, since the x-values do not repeat this does represent a function.

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Solve for x 4^5x=(1/32)^1-x

olasank [31]

x = -1

Step-by-step explanation:

${4}^{5x} = {2}^{2(5x)} = {2}^{10x}$

${( \frac{1}{32}) }^{(1 - x)} = {2}^{ - 5(1 - x)} = {2}^{(5x - 5)}$

${2}^{10x} = {2}^{(5x - 5)}$

Since both sides have the same base, we can write

10x = 5x - 5

5x = -5

x = -1

5 0

3 years ago

What is the slope of the line that passes through the points (2, –3) and (–2, 5)?

Evgen [1.6K]

The answer is b) 1/2

3 0

3 years ago

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Calculate using Cauchys integral formula

zhuklara [117]

Answer:

9πi/2

Step-by-step explanation:

$\oint\limits_C {\frac{5z^{2}+4}{(z-1)(z+3)} } \, dz,\ C: |z|=2$

Let f(z) = (5z² + 4) / (z + 3).

$\oint\limits_C {\frac{f(z)}{z-1} } \, dz,\ C: |z|=2$

Using Cauchy's integral formula:

$2\pi i\ f(1)\\2\pi i\ (\frac{5(1)^{2}+4}{1+3}) \\2\pi i\ (\frac{9}{4}) \\\frac{9\pi i}{2}$

5 0

3 years ago

The total area of the polygon is 176 square feet. Find the value of x.

My name is Ann [436]

Answer:

x = 6 ft

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(x)(8)$

= 4x square feet

Area of rectangle 2 = Length × Width

= 16 × 8

= 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x = $\frac{48}{8}$

x = 6 ft

5 0

3 years ago

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Simplify the expression write the expression in scientific notation (5 times 10^7) (6 times 10^4)

Crank

5 times 10^7= 50000000

6 times 10^4= 60000

(50000000)(60000)

Answer
3000000000000

8 0

3 years ago

Read 2 more answers