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1 year ago

Is the following relation a function? yes or no PLEASE HELP

Mathematics

1 answer:

Butoxors [25]1 year ago

7 0

Answer: yes

Step-by-step explanation: To determine if the given relation is a function, we use what is called the vertical line test.

In other words, if we can draw a vertical line that passes through more than one point on the graph of this relation, then it's not a function.

On the graph here, it's impossible to draw a vertical or straight up and down line the intersects more than one point.

So yes, this relation must be a function.

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What is the answer to -9+6

mezya [45]

Answer:

-3

Step-by-step explanation:

A negative plus a positive is like subtraction. But make sure you make your answer negative.

3 0

3 years ago

The sum of the circumference of two circles is 38π cm and the sum of their areas is 193π cm². Calculate the radii of the circles

sdas [7]

Answer:

The radii of the circles are 12 cm and 7cm.

Step-by-step explanation:

Let the radii of the circles be $r_{1}\ and\ r_{2}$

Given:

Sum of circumference of two circles= 38π cm

Formula for circumference of a circle with radius r = 2πr

$2\pi r_{1}+2\pi r_{2}=38\pi \\r_{1}+r_{2}=19$ ------------1

Sum of areas of two circles= 193π cm²

Area of circle with radius r = πr²

$\pi r_{1}^{2}+\pi r_{2}^{2}=193\pi \\r_{1}^{2}+r_{2}^{2}=193$ -------2

Substituting r2 = 19 - r1 in equation 2 we get:

$r_{1}^{2}+(19-r_{1})^{2}=193\\2r_{1}^{2}-38r_{1}+168=0\\r_{1}^{2}-19r_{1}+84=0\\(r_{1}-12)(r_{1}-7)=0\\r_{1}=12\ or\ 7$

Then r2 = 19 - r1

$r_{2}=12\ or\ 7$

7 0

3 years ago

Please help! I will mark you as brainliest!

monitta

Answer:

$\frac{2}{3}$

Step-by-step explanation:

Sum the frequency column to find the total number of students

total = 2 + 9 + 5 + 5 + 3 = 24

number of students finished in less than 20 mins = 2 + 9 + 5 = 16

fraction of students = $\frac{16}{24}$ = $\frac{2}{3}$

5 0

3 years ago

A circular cloud of poison gas from a factory explosion is expanding so that t hours after the explosion the radius of the cloud

diamong [38]

Answer:

6000π m²/h

Step-by-step explanation:

Area of the circular cloud =πr²----------------------------------------- (1)

Radius as a function of time = R(t)=50+20t------------------------ (2)

dA/dt = (dA/dr) x (dr/dt)-----------------------------------------------------(3)

dA/dr = 2πr

dr/dt = 20

After 5 hours, the radius of the cloud will be :

R(5)=50+20(5)

= 150 meters

Substituting into (3)

dA/dt = 2π(150) x 20

= 6000π m²/h

3 0

3 years ago

Determine the five-number summary of the data. 97, 71, 60, 65, 62, 80, 85, 93

Crazy boy [7]

It’s a tricky one but first ask yourself why you decided to ask this question. Was it the fact you didn’t want to do it or the face you didn’t know it and wanted to learn. The earth is full of possibilities and what if’s. When you find your true self then the world will make sense

8 0

3 years ago