Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation
Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry,
Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.
The maximum height of the diver is therefore 4 meters.
First, there was $37.50.
Then, there was a tax of 8%.
Then, there was a tip of 18%.
Since the tip is after the tax, it's not going to affect it, and we can essentially ignore it.
The real question here is just <em>what is 8% of $37.50?</em>
To find the percent of something, first you need to put the percent as a decimal.
8% in decimal form is 0.08 (If you think about it literally, they're both 8 hundredths)
Finally, just multiply the percent in decimal form by the number.
37.50 dollars × 0.08 = 3 dollars.<em />
Answer:
See below
Step-by-step explanation:
Quarters= 25(x)
Nickels =5(x+16)
25x+5(x+16)=590 (no decimal)
If you solve for x, you’ll get the number of quarters.
x+4y=15 2x-y=-15
We have to make x neg.
-2(x) + 4y (-2)= -2(15)
-2x-8y=-30
2x-y=-15
-9y= -45
Solve for y
Y=-45/-9
Y = 5
Substitute your y answer into one original equation to find x .
x+4y=15
X+4(5)=15
X+20=15
X=15-20
X= -5
Answer is (-5,5)
Answer:
-3x + 31
Step-by-step explanation:
First distribute
2x + 16 -5x +15
Collect like terms
-3x + 31