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3 years ago

Which of the following relations is a function?

2 answers:

dsp733 years ago

7 0

C is a function. X cannot repeat itself more than once, that will make it not a function. For example 1,1, 1,2, 1,3 x repeats itself 3 times that is NOT a function. Y can repeat itself more than once but X cannot.

Blababa [14]3 years ago

7 0

Answer:

C is a function

Step-by-step explanation:

For every input in a relation, there should only exist one unique output. For example, in option A, the input 1 has 3 outputs which does not make it a function since they all have to be unique. Additionally, B and D aren't functions for the same reasons. Therefore, C is a function.

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What is the value of A

Vlada [557]

Answer:

the answer is -3x² caused when -x divide with 3x it will became -3x²

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3 years ago

What is the perimeter in square units of the rectangle shown on the coordinate grid?

Rashid [163]

In order to find the Perimeter of the Rectangle, First we need to find the Length and Width of the Rectangle.

Distance between two points (x₁ , y₁) and (x₂ , y₂) is given by :

$\bigstar\;\; \mathsf{Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}$

There are two lengths in a rectangle. Let us find any one length of the rectangle.

I'm considering the length with co-ordinates (-8 , 2) and (-2 , 10)

Here : x₁ = -8 and x₂ = -2 and y₁ = 2 and y₂ = 10

Substituting the values in the distance formula, We get :

$\mathsf{\implies Length = \sqrt{[-2 - (-8)]^2 + [10 - 2]^2}}$

$\mathsf{\implies Length = \sqrt{[-2 + 8]^2 + [8]^2}}$

$\mathsf{\implies Length = \sqrt{[6]^2 + [8]^2}}$

$\mathsf{\implies Length = \sqrt{36 + 64}}$

$\mathsf{\implies Length = \sqrt{100}}$

$\mathsf{\implies Length = 10}$

There are two widths in a rectangle. Let us find any one width of the rectangle.

I'm considering the width with co-ordinates (-2 , 10) and (2 , 7)

Here : x₁ = -2 and x₂ = 2 and y₁ = 10 and y₂ = 7

Substituting the values in the distance formula, We get :

$\mathsf{\implies Width = \sqrt{[2 - (-2)]^2 + [7 - 10]^2}}$

$\mathsf{\implies Width = \sqrt{[2 + 2]^2 + [-3]^2}}$

$\mathsf{\implies Width = \sqrt{[4]^2 + [-3]^2}}$

$\mathsf{\implies Width = \sqrt{16 + 9}}$

$\mathsf{\implies Width = \sqrt{25}}$

$\mathsf{\implies Width = 5}$

Perimeter of a Rectangle is given by : 2[Length + Width]

$:\implies$ Perimeter of the given rectangle = 2[10 + 5]

$:\implies$ Perimeter of the given rectangle = 2[15]

$:\implies$ Perimeter of the given rectangle = 30

<u>Answer</u> : Perimeter of the given rectangle is 30 square units

4 0

3 years ago

Read 2 more answers

Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B31%20%2B%2033%7D%20" id="TexFormula1" t

topjm [15]

Answer:

your answer will be 8

Step-by-step explanation:

thank you!!

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3 years ago

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Estimate then record the product $473x9

ladessa [460]

So because 9 and 10 are close to each other, and the fact that 10 is really easy to multiply by, you do 473 x 10 which is 4730, because you just add a 0 to the end.
This means that an estimate is 4730 or if you want to be less specific, <4730, because 9 is less than 10.
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4 years ago

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zvonat [6]

The answer is 1690. First find the amount of interest by a single investment by multiplying the investment amount by the percent interest in decimal form. Then calculate the total by adding up all the products of investment times interest. Matrices will allow to multiply two things together and add the products up all at the same time. So we need to find the investment matrix and interest matrix.

Investment matrix A (transposed) = (a1 a2 a3) = (13,000 12,000 4,000)

Interest Matrix B = (b1 b2 b3) = (0.05 0.06 0.08)

Amount of interest earned = a1b1 + a2b2 + a3b3

Amount of interest earned = (0.05) (13,000) + (0.06) (12,000) + (0.08)(4,000)

Amount of interest earned = 1690

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4 years ago