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3 years ago

Is the following relation a function? 1) Yes 2) No

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

To figure out if the given relation is a function, we first need to know what a function is:

Function: A relation which relates the element x of set X with a single element of set Y

which means that every value of x can give only one value of y

but we can clearly see from the provided diagram that 5 has 2 possible outputs. Hence, the given relation is NOT a function

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nignag [31]

Answer: 18 cm^2

Step-by-step explanation:

There are four equal triangle and a rectangle.

Formula of a rectangle = b * h = 2*3 = 6

Formula of triangle = $\frac{bh}{2}$ but there four of them so we times them by 4, this leaves us with 2 (b * h) = 2(2*3) = 12

Area of pentagon = area of all triangles + rectangle

Area of pentagon = 12 + 6 = 18

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2 years ago

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Lubov Fominskaja [6]

Answer:

4/10 or 2/5

Step-by-step explanation:

9/10-1/2 = 9/10-5/10 = 4/10 = 2/5

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Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the n

-Dominant- [34]

Invested amount (P) = $300.

Time in years (t) = 2 years.

Balance after 2 years (A) = $329.49.

Let us assume rate of interest = r % compounds annually.

We know, formula for compound interest

$A=P(1+r)^t$

Plugging values in formula, we get

$329.49=300(1+r)^2$

$\mathrm{Divide\:both\:sides\:by\:}300$

$\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}$

$\left(1+r\right)^2=1.0983$

Taking square root on both sides, we get

$1+r=\sqrt{1.0983}$

$\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}$

$1+r-1=\sqrt{1.0983}-1$

$r=\sqrt{1.0983}-1$

$r=1.048-1$

r=0.048.

Converting it into percentage by multiplying by 100.

r=0.048 × 100

r = 4.8 %

Therefore, the rate of interest on the account is 4.8% compounds annually.

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3 years ago