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3 years ago

5

Which representation shows y as a function of x?

2 answers:

Jlenok [28]3 years ago

8 0

Answer:

Option (A)

Step-by-step explanation:

If 'x' value (input value) of a function has two y-values (output values) then the representation will be a relation not a function.

Option (A).

In the option every value of x has different output value (y-value).

Therefore, Option (A) represents a function.

Option (B).

Input value x = 0 has two output values y = 0, 12

Therefore, given representation is not a function.

Option (C).

From the table attached,

Input value, x= -1 has four output values (y = 0, 5, 10, 15)

Therefore, table doesn't represent a function.

Option (D).

In the given table x = -4 has two output values y = -8 and 10.

Therefore, table doesn't represent a function.

bagirrra123 [75]3 years ago

6 0

Question:5.

Which representation shows y as a function of x?

answer is b

i dont know the answer

Screen

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nikitadnepr [17]

Answer:

A man borrows * 8000

He agrees to repay with a total interest of 1360 in 12 monthly instalments.

Each instalment being less than the preceding one by * 40

= $\frac{12}{1360}$ x 40

= 12 x 34

= 408 (Ans)

7 0

3 years ago

Which set of side lenghts can be used to form a right triangle

Nookie1986 [14]

<h3>Solution:</h3>

<u>A few tips...</u>

Pythagoras theorem can ONLY be used in right triangles.
Usually, the longest side is the hypotenuse.

Option A:

6² = 5² + 4²
=> 36 = 25 + 16
=> 36 ≠ 41

The <u>side lengths</u> given are <u>not possible</u> for a right triangle.

Option B:

50² = 40² + 30²
=> 2500 = 1600 + 900
=> 2500 = 2500

The <u>side lengths</u> given are <u>possible</u> for a right triangle.

Option C:

30² = 20² + 10²
=> 900 = 400 + 100
=> 900 ≠ 500

The <u>side lengths</u> given are <u>not possible</u> for a right triangle.

Option D:

4² = 3² + 2²
=> 16 = 9 + 4
=> 13 ≠ 16

The <u>side lengths</u> given are <u>not possible</u> for a right triangle.

<h3>In conclusion...</h3>

Option B is correct.

4 0

2 years ago

The distance around the edge of a pond is 88. What is the radius?

Airida [17]

Answer:

radius= 14

Step-by-step explanation:

the distance around the edge is given by = 2πr

88= 2 (22/7)*r⇒ r= 88*7/44= 14

8 0

3 years ago

What number fills in the blank to complete the factorization of 3x + 24?<br><br> (x + 8)

Crank

we have

$3x+24$

<u>Find the greatest common factor GCF</u>

we know that

$3\\ Factors=1,3\\ \\ 24=2^{3}*3\\ Factors=1,2,3,4,6,8,12,24$

so

The GCF is equal to $3$

therefore

$3x+24=3*(x+8)$

<u>the answer is</u>

The number is $3$

8 0

4 years ago

Read 2 more answers

Use the definition of the derivative to differentiate f(x)= In x

WINSTONCH [101]

By def. of the derivative, we have for y = ln(x),

$\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac{\ln(x+h)-\ln(x)}{h}$

$\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac1h \ln\left(\frac{x+h}{x}\right)$

$\displaystyle \frac{dy}{dx} = \lim_{h\to0} \ln\left(1+\frac hx\right)^{\frac1h}$

Substitute y = h/x, so that as h approaches 0, so does y. We then rewrite the limit as

$\displaystyle \frac{dy}{dx} = \lim_{y\to0} \ln\left(1+y\right)^{\frac1{xy}}$

$\displaystyle \frac{dy}{dx} = \frac1x \lim_{y\to0} \ln\left(1+y\right)^{\frac1y}$

Recall that the constant e is defined by the limit,

$\displaystyle e = \lim_{y\to0} \left(1+y\right)^{\frac1y}$

Then in our limit, we end up with

$\displaystyle \frac{dy}{dx} = \frac1x \ln(e) = \boxed{\frac1x}$

In Mathematica, use

D[Log[x], x]

5 0

3 years ago