Answer:
It is b, the expression is multiply the variable by 13-29 :)
1. She earned a total of $68.50
2. She earned $24 from selling 8 chocolate bars
3. Sorry, I’m not sure about this one
4. Each charity will receive $4,200
5. Rachel spent $55 on books
6. He can buy 8 school lunches with his remaining allowance
Hope this helps you!
The first angle is 130.5 degrees and the second angle is 49.5 degrees. They are supplementary angles since their sum is 180 degrees.
In this problem, we're given that two angles are supplementary, which means the sum of their measures is 180 degrees. If we call the second angle x, then the first angle is described as 3x - 18, as it is 18 degrees less than three times the measure of the second angle.
We can create an equation based on this information: x + (3x - 18) = 180. Solving this equation gives us x = 49.5. That means the second angle is 49.5 degrees.
Substitute x with 49.5 degrees into the expression for the first angle: 3 * 49.5 - 18 = 130.5. Thus, the first angle is 130.5 degrees and the second angle is 49.5 degrees. Both angles sum up to 180 degrees, confirming that they are supplementary.
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Given the quadratic functions expressed as;
x² - 6x = 12
The value of p given the quadratic expression is -3
Complete the square at the left hand side of the equation.
Add the square of the half of coefficient of x to both sides.
coefficient of x = -6
Half of coefficient of x = -6/2 = -3
Square of the result = (-3)² = 9
Add 9 to both sides of the equation
x² - 6x + 9 = 12 + 9
Factoring the left hand side
(x-3)² = 21
Comparing the result with (x+p)² = q
The value of p wil be -3
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Answer:
p = - 3
Step-by-step explanation:
Given
x² - 6x = 12
To obtain the required form use the method of completing the square
add ( half the coefficient of the x- term )² to both sides, thus
x² + 2(- 3)x + 9 = 12 + 9
(x - 3)² = 21
Thus p = - 3