Question

3x^(2)-5x+36=3x^(2)+8x+7 at the same rate.How much does he needs to make the inequality x>=1 y?

Answer 1

To satisfy the inequality x >= 1, any value of x that is greater than or equal to 1 will make the inequality true.

Step-by-step explanation:

To solve the inequality x >= 1, we need to find the values of x that satisfy the inequality. Since the statement is in the form x >= a, it means that any value of x that is greater than or equal to the value of a will satisfy the inequality.

3x^2 - 5x + 36 = 3x^2 + 8x + 7

We can simplify this equation by subtracting the left side from the right side. When simplifying, terms with x^2 will cancel each other out, since they are equal (3x^2 on both sides).

0 = 13x - 29

Since we are looking for when this equation is equal to 0, we can solve for x.

13x = 29

x = 29/13
x ≈ 2.23

So, x is approximately 2.23 for the equation to hold true.

Now, let's address the second part of the question, which appears to be related to an inequality:

x >= 1 y

This expression is incomplete or vague because "y" is not defined in the context you gave me, and it looks like an incomplete notation. If we were to assume "y" is a second variable, we don't have any information about the relationship between x and y. Inequalities usually specify a condition that x has to satisfy, such as x >= 1, without introducing another undefined variable.

If you meant the inequality to be simply:

x >= 1

Then, based on our previous calculation, x ≈ 2.23, which does satisfy this inequality, because 2.23 is greater than 1. No further action would be needed to "make" this inequality true; it is already true for the value of x we calculated.

If you have a different inequality in mind or additional information, please provide that information so we can try to solve it accordingly.

Answer 2

3x^(2)-5x+36=3x^(2)+8x+7 at the same rate The inequality x ≥ 1 holds true.

Step-by-step explanation:

The provided equation, 3x^(2) - 5x + 36 = 3x^(2) + 8x + 7, can be simplified by subtracting 3x^(2) from both sides, resulting in -5x + 36 = 8x + 7. Rearranging terms gives 36 - 7 = 8x + 5x, which simplifies to 29 = 13x. Solving for x yields x = 29 / 13.

To determine the validity of the inequality x ≥ 1 in relation to the solution, we compare the value obtained (x = 29 / 13) with the condition x ≥ 1.

Upon evaluation, x = 29 / 13 ≈ 2.23, which is greater than 1. Therefore, any value of x equal to or greater than 29 / 13 satisfies the inequality x ≥ 1.

This confirms that the inequality x ≥ 1 is indeed true for the given equation. The calculated value of x, 29 / 13, validates that any value of x greater than or equal to approximately 2.23 fulfills the condition x ≥ 1, aligning with the initial question's requirement.