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emmasim [6.3K]
3 years ago
13

Which is the range of the following relation?

Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0

Answer:

Odd integers

Step-by-step explanation:

The range is odd integers, if you add 1 to any even integer it becomes an odd integer. 2+1=3; 10+1=11

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Alliic
pochemuha
First, we need to solve the first equation in order to see what the options need to be equivalent to. our first step to solving this is to distribute -3 through the parenthesis 
y + 5 = -3x + 3
next, move the constant to the right side and change its sign
y = -3x + 3 - 5
calculate the difference
y = -3x - 2
since we cant find x, your final solution for y is y = -3x - 2, x ∈ R
now that we know the solution to that equation, we can now solve the options listed to see which ones are equivalent.
first is y = -3x - 2, which is very simple to solve because y has already been found. since we know y and there is no solution for x, our answer to this equation is y = -3x -2, x ∈ R. since this is the exact same answer as our first equation, we know that the A is equivalent to y + 5 = -3(x - 1)
the next equation is also already solved for y and has no x, so the answer to this equation is y = -4x - 5, x ∈ R. since this is does not have the same answer that <span>y + 5 = -3(x - 1) had</span>, option B is not equivalent.
our next equation is 3x + y = -2 does not provide y for us, so we must solve it.
first, you need to move the variable to the right side and change its sign
3x = -2 - y
now divide both sides of the equation by 3
x = - 2/3 = y/3
write all the numerators above their common denominators
x = - 2 + y/3 
since we dont know what y is, our final solution is
x = - \frac{2+y}{3} , y ∈ R
since this answer does not match the answer we are looking for, option C is not equivalent.  
finally, we must solve -4x + y = -5
the first step to solving this is to move the variable to the right side and change its sign
-4x = -5 - y
divide both sides of the equation by -4
x = 5/4 + y/4
now, write all the numerators above their common denominators 
x = 5 + y/4
since we dont know what y is, our answer is x = \frac{5+y}{4} , y ∈ R
since this is also not equivalent to <span>y + 5 = -3(x - 1), our only answer is option A.
let me know if you have any further questions 
:)</span>
5 0
3 years ago
It takes Billy 40 minutes to drive to his friends house at his normal speed but it takes two hours if he drives 20 mph slower ho
bulgar [2K]

Answer:

Step-by-step explanation:

d/t=mph

8 0
2 years ago
In △ABC the points M and N belong to the sides
tangare [24]

Try this solution, it consists of two parts (MN=8).

4 0
3 years ago
This soda can is going to be made from aluminum. How many square centimeters of aluminum are needed if the radius r = 3.5 cm and
kari74 [83]

208.81 square centimeters of aluminium are needed

<em><u>Solution:</u></em>

Given that,

Radius = 3.5 cm

Height = 6 cm

We have to find the square centimeters of aluminum needed

So we have to find the surface area of cylinder

<em><u>The surface area of cylinder is given by formula:</u></em>

A = 2 \pi r(h+r)

Where "r" is the radius and "h" is the height of cylinder

<em><u>Substituting the values we get,</u></em>

A  = 2 \times 3.14 \times 3.5 \times (6+3.5)\\\\A = 21.98 \times 9.5\\\\A = 208.81

Thus 208.81 square centimeters of aluminium are needed

8 0
3 years ago
Please help me I will give you a Brainly
d1i1m1o1n [39]

Answer:

I would be y

Step-by-step explanation:

sorry if it is wrong

3 0
3 years ago
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