Answer:
k=86
Step-by-step explanation:
An expression which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula is: expression A. Therefore, the correct answer option is A.
<h3>What is a quadratic equation?</h3>
A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Mathematically, the quadratic formula is modeled or represented by this mathematical expression:
From the information provided, we have the following values;
0 = -3x² - 2x + 6
Where:
a = -3
b = -2
c = 6
Substituting the values into the quadratic formula, we have;
Read more on quadratic equation here: brainly.com/question/4053652
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Let x be the number of gigabyte of data used.
Plan A:
Total cost = 30 + 5x
Plan B:
Total cost = 50 + 2x
Irfan will use between 5 to 8 gb of data per month.
When x = 5
Plan A = 30 + 5(5) = $55
When x = 8,
Plan A = 30 + 5(8) = $70
When x =5,
Plan B = 50 + 2(5) = $60
When x = 8,
Plan B = 50 + 2(8) = $68
He is probably better off using Plan A. Plan A is a cheaper option up to 7gb of data. He should only swap to Plan B if he consistently use 8gb or more data per month.
Answer:
-82, -83, -84
Step-by-step explanation:
Using a variable and corresponding expressions, we can set the sum of the consecutive integers equal to -249 and solve:
first integer: x
second integer: x + 1
third integer: x + 2
x + x + 1 + x + 2 = -249
Combine like terms: 3x + 3 = -249
Subtract 3 from both sides: 3x + 3 - 3 = -249 - 3 or 3x = -252
Divide both sides by 3: 3x/3 = -252/3
Solve for x: x = -84
first integer: -84
second integer: -84 + 1 = -83
third integer: -84 + 2 = -82
Answer:
That point would now be half as close to the origin, so (2,-1).
