Lets say, unknown number = a = 1.7
A. a/1.7 = 0.1 -> a = 0.17
B. 0.1/a = 1.7 -> a = 0.05
C. a/17 = 0.1 -> a = 1.7
D. a/0.1 = 1.7 -> a = 0.17
The answer is C
Answer:
- x=8, x=2
- no solution
- no solution
Step-by-step explanation:
For the equation ...
y = a(x -h)² +k
you can find the x-intercepts by setting y=0 and solving for x.
0 = a(x -h)² +k
-k = a(x -h)² . . . . . . subtract k
-k/a = (x -h)² . . . . . divide by a
±√(-k/a) = x -h . . . . take the square root
h ± √(-k/a) = x . . . . add h . . . . this is the general solution
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So, for each of your problems, fill in the corresponding numbers and do the arithmetic. If (-k/a) is a negative number, the square root gives imaginary values, so there is "no solution".
1. x = 5 ± √9 = {5 -3, 5 +3} = {2, 8} . . . . the x-intercepts are 2 and 8
2. x = -3 ± √(-2) . . . . . . no solution; the roots are complex
3. x = 5 ± √(-8/4) . . . . . no solution; the roots are complex
Answer:
The ball will take 4.05 seconds to hit the ground.
Step-by-step explanation:
we have
This is a quadratic equation (vertical parabola) open down
The vertex is a maximum
we know that
The ball hit the ground when h=0
Solve the quadratic equation
For h=0
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
---> the time cannot be a negative number
therefore
The ball will take 4.05 seconds to hit the ground.
Answer:
45
Step-by-step explanation:
-5x^2 - y^3 when x = -4 and x = -5
~Substitute
-5(-4)^2 - (-5)^3
~Simplify
-5(16) - (-125)
-80 + 125
45
Best of Luck!
Answer:
16 eggs
Step-by-step explanation:
we know that
it takes 90 minutes to wait in line to purchase 12 eggs
so
using proportion
Find out how many eggs could you purchase if you waited 120 minutes
