Answer:
<h2>A)t=6.7</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
- quadratic equation
- quadratic equation word problems
- solving quadratic
<h3>given:</h3>
h(t) = -4t² + 12t + 100
<h3>to solve:</h3>
t
<h3>tips and formulas:</h3>
- <u>the</u><u> </u><u>Ball</u><u> </u><u>will</u><u> </u><u>hit </u><u>the</u><u> ground</u><u> </u><u>when</u><u> </u><u>the</u><u> height</u><u> is</u><u> </u><u>0</u>
- <u>solving</u><u> </u><u>quadratics </u><u>using</u><u> </u><u>quadratic</u><u> formula</u>
- <u>PEMDAS</u>
<h3>let's solve: </h3>














Answers:
1. The n-intercept is 12. That means after 12 visits the amount of money on the gift car is $0.
2. The A(n)-intercept is 150. Before the visits, the amount of money on the gift car is $150.
Solution:
Amount of money on the gift card after n number of visits: A(n)=$150-$12.50 n
A(n)=150-12.50 n
1. n-intercept
A(n)=0→150-12.50 n =0
Solving for n: Subtracting 150 both sides of the equation:
150-12.50 n-150 = 0-150
-12.50 n = -150
Dividing both sides of the equation by -12.50:
(-12.50 n) / (-12.50) = (-150) / (-12.50)
n=12
The n-intercept is n=12; for n=12→A(12)=0. Point (n, A(n))=(12,0)
2. A(n) intercept
n=0→A(0)=150-12.50 (0)
A(0)=150-0
A(0)=150
The A(n) intercept is 150; for n=0→A(0)=150. Point (n, A(n))=(0,150)
Answer:
x = 6
Step-by-step explanation:
3x - 3 = 15
3x = 15 + 3
3x = 18
x = 18/3
x = 6
hope it helps!
Answer:
Option C.
Step-by-step explanation:
The given equations are


We need isolate one of the variables, such that it appears by itself on one side of the equation.
Isolating a variable in two equations is easiest when one of them has a coefficient 1.
In equation 1, coefficient of B is 1. So, we can easily isolate one of the variables.
The equation is

Subtract 3A from both sides.

Multiply both sides by -1.

Therefore, the correct option is C.