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3 years ago

Which of the following relations is a function?

Mathematics

1 answer:

Marizza181 [45]3 years ago

5 0

Answer:

C is the correct answer.

Step-by-step explanation:

Look at the X values for each coordinate pair. If an X value is represented twice with different Y values, it is not a function. If no X value is repeated, or it is repeated but has the same Y value, then it is a function. A has two values for x = 1, B has two values for x = -3, D has two values for x = 7, but C does not, so it is the correct answer.

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The greater of is 7 more than the lesser. three times the greater number is 5 more than r4 times the lesser number. Find the num

Ilya [14]

<h2>Steps:</h2>

(Let x = greater number and y = lesser number)

So this question is asking us for a system of equations. Using the info they provide, we can form these two equations:

$x=y+7\ \textsf{("The greater of the numbers is 7 more than the lesser.")}\\3x=4y+5\ \textsf{("Three times the greater number is 5 more than 4 times the lesser number.")}$

So for this, we will be using the substitution method. Since we know that x = y + 7, substitute x with (y + 7) in the second equation as such:

$3(y+7)=4y+5$

From here we can solve for y. Firstly, distribute 3 so that it multiplies with y and 7:

$3y+21=4y+5$

Next, subtract 3y on both sides of the equation:

$21=y+5$

Lastly, subtract 5 on both sides of the equation:

$16=y$

Now that we know the value of y, we can substitute it into either equation to solve for x:

$x=16+7\\x=23\\\\3x=4(16)+5\\3x=64+5\\3x=69\\x=23$

<h2>Answer:</h2>

<u>In short, 16 is the lesser number and 23 is the greater number.</u>

8 0

3 years ago

In scientific notation, 76 000 = 7.6x 10".<br> n =

Vikentia [17]

Answer:

4 :)

Step-by-step explanation:

7 0

3 years ago

I'm not sure to do this.. Help me please.. Thank you

Paraphin [41]

So our original equations would be..
$2y + 2(y - 4) = p \: (perimeter)$
$y \times (y - 4) = l \: (area)$

(a) perimeter in terms of y
$y = \frac{p + 8}{4}$

(b) area in terms of y
*I'm actually not sure about b.. sorry*

(c) if perimeter = 28, find length
$28 \div 4 = 7$
$7 \times 7 = 49$
$l (area)= 49$

4 0

3 years ago

A teacher buys packs of notebooks to give to his students. The ratio of gold notebooks to red notebooks is represented in the ta

Naddika [18.5K]

Answer:

there would be 40 gold notebooks

Step-by-step explanation:

if the ratio is 5g to 3r i took the 24 red and divided it by 3 which gave me 8. I then multiplied 8 by 5 and got 40. so 40:24 is equal to 5:3

4 0

3 years ago

What is the value of x?

NISA [10]

Since vertical angles are congruent, (4x+7)=5(x-4). So simplifying we get 4x+7=5x-20. If we add 20 on both sides we get 4x+27=5x. Now when we subtract x from both sides, we get x=27

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3 years ago