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Alex Ar [27]
3 years ago
7

Which expression represents the sum of (2x-5y) and (x+y)?

Mathematics
1 answer:
trasher [3.6K]3 years ago
4 0
(2x-5y) + (x+y)  
= (2x+x) + (-5y+y)
 = 3x + (-4y)
 = 3x-4y 
 So option A is the correct one.
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The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greate
KIM [24]

a + b ≥ 30,  b ≥ a + 10, the system of inequalities could represent the values of a and b

option A

<u>Step-by-step explanation:</u>

Here we have , The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, We need to find which system of inequalities could represent the values of a and b . Let's find out:

Let two numbers be a and b where b>a . Now ,

  • The sum of two positive integers, a and b, is at least 30

According to the given statement we have following inequality :

⇒ a+b\geq 30

  • The difference of the two integers is at least 10

According to the given statement we have following inequality :

⇒ b-a\geq 10

⇒ b-a+a\geq 10 +a

⇒ b\geq 10 +a

Therefore , Correct option is A) a + b ≥ 30,  b ≥ a + 10

8 0
2 years ago
Read 2 more answers
I need help solving this
ValentinkaMS [17]
11, 13, and 16. sorry if im wrong, and i hope this helps.
5 0
3 years ago
What is the product?
alexdok [17]

Answer: C

Explanation:i got it right on my test

4 0
1 year ago
Which expression is equivalent 4/5 - 1/3?
BARSIC [14]

Answer:

7/15

Step-by-step explanation:

Well 4/5 - 1/3 = 12 / 15 - 5 / 15 which is equal to 7/15, but there aren't any expressions in your question.

3 0
3 years ago
Read 2 more answers
The function y = x 2 - 10x + 31 has a ____
katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

f(x) = x^2-10x+31

Taking first derivative

f'(x) = 2x-10

Now the first derivative has to be put equal to zero to find the critical value

2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5

The function has only one critical value which is 5.

Taking 2nd derivative

f''(x) =2

f''(5) = 2

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

f(5) = (5)^2-10(5)+31\\=25-50+31\\=6

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum  value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0
3 years ago
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