Answer:
T = 91
Step-by-step explanation:
Simplifying
T + -15 = 76
Reorder the terms:
-15 + T = 76
Solving
-15 + T = 76
Solving for variable 'T'.
Move all terms containing T to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + T = 76 + 15
Combine like terms: -15 + 15 = 0
0 + T = 76 + 15
T = 76 + 15
Combine like terms: 76 + 15 = 91
T = 91
Simplifying
T = 91
According to the direct inspection, we conclude that the best approximation of the two solutions to the system of <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)
<h3>What is the solution of a nonlinear system formed by two quadratic equations?</h3>
Herein we have two parabolae, that is, polynomials of the form a · x² + b · x + c, that pass through each other twice according to the image attached to this question. We need to estimate the location of the points by visual inspection on the <em>Cartesian</em> plane.
According to the direct inspection, we conclude that the best approximation of the two solutions, that is, the point where the two parabolae intercepts each other, to the system of two <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)
To learn more on quadratic equations: brainly.com/question/17177510
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Answer: 12x-4, 14 counters, 8 more counters
Step-by-step explanation: There are 2x yellow, 4x+6 red, and 6x-10 blue counters. We need to add all of this up to get the total number of counters. We first add the x's : 2x+4x+6x = 12x. Then we add the numbers. 6+ (-10) is -4. So, our expression is 12x-4. Next, we need to find out how many blue counters are in the bag. We know that there are 44 total counters and we need to find x because all the counters have x in them. 12x-4 = 44. We first add 4 to both sides to get 12x= 48 and x = 4. blue has 6x-10 counters so, blue has 24-10 = 14 counters. Red has 16+6 = 22 counters. 22-14 = 8 more counters
In exponential form it’s: 125=60(1.05)^x
So it should be around 15.043 weeks
If you have to round up to then next week then the answer is 16 weeks she will have enough money to buy the bike. I’m