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andreyandreev [35.5K]
3 years ago
12

Part A: Consider the equation x + 7 = 16. Which number from the set {5, 7, 9, 11} makes the equation true?

Mathematics
1 answer:
wel3 years ago
3 0

Part A: Substitute/plug in each number into the equation to see which number will make the equation true.

x + 7 = 16      Plug in 5 into "x"

5 + 7 = 16

12 = 16    5 doesn't make the equation true because it equals 12 not 16

x + 7 = 16     Plug in 7 into "x"

7 + 7 = 16

14 = 16     7 doesn't make the equation true because it equals 14 not 16

x + 7 = 16     Plug in 9 into "x"

9 + 7 = 16

16 = 16             9 makes the equation true because it equals 16

Part B: Plug in 9 into "x" in the inequality to see if it still makes it true.

x + 7 < 16     [x plus 7 is less than 16]

9 + 7 < 16

16 < 16     [16 is less than 16]  The same number would not make the inequality true because 16 can't be less than itself.

To figure out which numbers satisfy the inequality, plug it into the inequality:

x + 7 < 16      Plug in 5 into "x"

5 + 7 < 16

12 < 16      5 does satisfy the inequality because 12 is less than 16

x + 7 < 16     Plug in 7 into "x"

14 < 16     7 does satisfy the inequality because 14 is less than 16

x + 7 < 16     Plug in 11 into "x"

11 + 7 < 16

18 < 16     11 doesn't satisfy the inequality because 18 isn't less than 16

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Answer:

9

Step-by-step explanation:

5+4=9

8 0
3 years ago
What is the rate of change between (1,15) (3,45)?
Ksivusya [100]

Answer:

15

Step-by-step explanation:

Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:

(y2 - y1)/(x2 - x1)

=> Rate of change of the line passing (1,15) and (3,45):

(45 - 15)/(3 - 1) = 30/2 = 15

3 0
3 years ago
If y + 7 = 9, what does y equal?<br> +
asambeis [7]
Y=2
If you subtract 9-7 you get the answer 2 which makes y=2.
7 0
3 years ago
What point(s) are 100units away from point -1? Can you pls respond quickly!
Inessa05 [86]

Answer:

Look below.

Step-by-step explanation:

FYI: Im a bit confused on what this question is asking but I am responding based on what I believe the question is asking.

The point 100 spaces to the left of -1 would be (-101,0) and the point 100 spaces to the left of -1 would be (100,0).

The point(s) 100 spaces to the left of -1 would be (- infinity, -1) and the point(s) 100 spaces to the right would be (-1, infinity).

5 0
3 years ago
U=(1,2,3,4,5,6,7,8),a=(1,3,5,7), b=(4,5,6) is it true statement
kvv77 [185]

<u>Answer:</u>

U=(1,2,3,4,5,6,7,8), a=(1,3,5,7), b=(4,5,6) is false statement

<u>Solution:</u>

Given, two sets are a = (1, 3, 5, 7) and b = (4, 5, 6).

And their union set is U = (1, 2, 3, 4, 5, 6, 7, 8)

We have to find that whether above sets are true or not.

We know that, union of two sets will have the all elements in the two sets except the repeated elements.

Now, according to our knowledge.

Union of a and b = (1, 3, 5, 7, 4, 6)  

Now compare the given union set with our set.

After comparison we can say that, both are not equal which means that given union set is false set.

Hence, given statement is false.

6 0
3 years ago
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