Which inequality will have a shaded area below the boundary line? A. y - x > 5 B. 2x - 3y < 3 C. 2x - 3y < 7 D. 7x + 2y < 2 E. 3x + 4y > 12

Answers

Answer 1

Answer: Answer:
D. 7x + 2y < 2

Explanation:
The two general forma of the inequality are:
y < mx + c .........> In this case, shading is below the boundary line
y > mx + c .........> In this case, shading is above the boundary line

Since we are looking for the inequality with shading below the boundary line, therefore, we are looking for an y < mx + c format

Now, let's check the givens:
y - x > 5
Rearranging, we would get:
y > x + 5
The shading is above the boundary line. This option is incorrect

2x - 3y < 3
Rearranging, we would get:
2x - 3 < 3y
The shading is above the boundary line. This option is incorrect

2x - 3y < 7
Rearranging, we would get:
2x - 7 < 3y
The shading is above the boundary line. This option is incorrect

7x + 2y < 2
Rearranging, we would get:
2y < -7x + 2
The shading is below the boundary line. This option is correct

3x + 4y > 12
Rearranging, we would get:
4y > -3x + 12
The shading is above the boundary line. This option is incorrect

As a second solution, I attached the graphs of the 5 given functions.
Observing these graphs, we will find that the correct one is D

Hope this helps :)

Answer 2

Answer: When you change the inequality as the formula of y>ax+b, it is over the boundary line. While the formula is y<ax+b, it is below the boundary line. So we can get the answer is D.

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I don't have a lot of time this is about to be overdue What are the terms in the expression 2d + 7 + 5f?

2, 7, and 5

d and f

2 and 5

2d, 7, and 5f

Answers

Answer:

• d and f

Step-by-step explanation:

• take an example of;

→ ax + by + 1

a and b are coefficients
x and y are terms
1 is a constant

$.$

A function is created to represent the amount of money in your checking account. What restrictions would be made to the range?A. The range would include all real numbers.
B. The range would only include positive integers.
C. The range would only include positive numbers.
D. The range would only include integers.

Answers

A Range of a function is defined as the set of All the output values. If a function is created to represent the amount of money in your checking account then the range will represent the amount that you have in your account at the current time.

The output of this function can be positive, negative or zero. If you draw more amount that you have in your account, than you have overdrawn the your account balance will show up as negative.

If you have zero balance in your account, then the function have the value 0.

And in case of positive balance, the function will return a positive range.

So, could include all Real numbers. The answer is real numbers and not integers because the account balance can also be in decimals.

Therefore, option A gives the correct answer.

The range of a certain function or a certain situation is that which includes all the reasonable numbers that may be included as answer to the given. A checking account balance can assume values that are from 0 to positive infinity, depending on the deposits and does not necessarily have to be only integers. The answer to this item therefore should be letter C.

State a conclusion that seems reasonable.Donald is older than Jeanette; Donald is older than Ethel. Donald is older than Allen.

Conclusion: