Answer:
10
Step-by-step explanation:
| | means absolute value. Absolute value is always positive, so your equation would be evaluated to 9 + 1 = 10
Answer:
Step-by-step explanation:
First, note this parameters from the question.
We let x = number of $5 increases and number of 10 decreases in plates sold.
Our Revenue equation is:
R(x) = (300-10x)(10+5x)
We expand the above equation into a quadratic equation by multiplying each bracket:
R(x) = 3000 + 1500x - 3000x - 1500x^2
R(x) = -1500x^2 - 1500x + 3000 (collect like terms)
Next we simplify, by dividing through by -1500
= 1500x^2/1500 - 1500x/1500 + 3000/1500
= X^2 - x + 2
X^2 - x + 2 = 0
Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1
X = - (-1)/2*1
X = 1/2
Number of $5 increases = $5x1/2 = $2.5
=$2.5 + $20 = $22.5 ticket price gives max revenue.
Check the picture below.
notice the sides, now, on the second triangle, side 6 slants a bit more to fit in 13, on the third triangle, side 6 slants even further to fit 13 in, now, if 6 were to slant completely, it'll make a flat-line with side 5, and there will be a triangle no more.
but even if side 6 would stretch to a flat-line, 5+6 is just 11, whilst side 13 is longer than that, so no dice.
Sq of 196 is 14 then x2 = 28 then 25= 5
Answer:
The actual measure of ∠1 = 40°
Step-by-step explanation:
We are given: ∠1 = 2x+6 and ∠2 = 8x+4
and both angles are supplementary. we need to find the actual measure of ∠1
Supplementary angles: If the angles are supplementary their sum is equal to 180°
In our case ∠1 +∠2 = 180°
2x+6+8x+4=180
Solving the equation to find x, then we can find the actual measure of ∠1

So, value of x = 17
Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6

So, the actual measure of ∠1 = 40°