<h3>
Answer: b = 17</h3>
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Explanation:
The line must go through the point (5,2) which means x = 5 and y = 2 pair up together.
We'll plug these x and y values into the equation and solve for b.
y = -3x+b
2 = -3(5)+b
2 = -15+b
2+15 = b
17 = b
b = 17
The equation y = -3x+b turns into y = -3x+17
Answer:
1
Step-by-step explanation:
There can be 0, 1 or infinitely many solutions. 0 if they are parallel and are different lines, 1 if the slopes are different, and infinitely many if they are the same line.
2x - 4y = 8
x + y = 7
Change to y = mx + b
y = (1/2)x - 2
y = -x + 7
The slopes are different so there is 1 solution.
Hope this helps Please mark as brainliest and have a blessed day
The value of the expression in the form a(x+b)^2 is 1.5(x+2)^2 - 4
<h3>Vertex Form of a quadratic expression</h3>
Given the quadratic expressions
1.5x^2+6x+......
1.5(x^2 + 4x)
Using the completing the square method
The coefficient of x = 4
Half of the coefficient = 4/2 = 2
The square of the result = 2^2 = 4
The equation is expressed as:
f(x) = 1.5(x^2+4x+ 4) - 4
f(x) = 1.5(x+2)^2 - 4
Hence the value of the expression in the form a(x+b)^2 is 1.5(x+2)^2 - 4
Learn more on completing the square method here: brainly.com/question/1596209
Answer:
792
Step-by-step explanation:
It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.
So the answer is
12C5
12!
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(12 - 5)! * 5!
12 * 11 * 10 * 9 * 8
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5 * 4 * 3 * 2 * 1
792
