There would be no solution.
First you subtract the two equations
x^2-2x+3-6x
You simplify that and get
x^2+4x+3 = 0
Now we solve using the quadratic formula.
We get x = -1 and x = -3.
Now we find the y values by plugging the x values into the equation.
f(x) is the same as y.
y = (-1)^2 - 2(-1) + 3
y = 1+2+3
y = 6
Now for the other x value.
y = (-3)^2 - 2(-3) + 3
y = 9+9
y = 18
So the two ordered pairs are (-1,6) and (-3,18)
Answer:
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Step-by-step explanation:
Answer:
The correct option is;
The ranges of f(x) and h(x) are similar and different from the ranges of g(x)
Step-by-step explanation:
Here we have the functions given as follows;
f(x) = -6/11 (11/2)ˣ
g(x) = 6/11 (11/2)⁻ˣ
h(x) = -6/11 (11/2)⁻ˣ
from the above equations, it can be seen that f(x) and h(x) are always negative while g(x) is always positive
f(x) and h(x) are symmetric about the y axis while g(x) and h(x) are symmetric about the x axis
Also h(x) is the inverse of f(x) hence the ranges of f(x) and g(x) are similar and are different from the ranges of g(x).
Answer:
Penny:
3/100 ; 0.03
Dimes :
7/10 ; 0.7
Amount to add to make whole number = $0.23
Step-by-step explanation:
Recall:
100 pennies = $1
1 penny = 1 / 100
3 Pennies = 3 / 100 (In fraction)
3 pennies = 0.03
10 dime = $1
1 dime = 10 /100 = 1/ 10
7 dimes = 7/10 (fraction)
7 dimes = 0.7
To make the money in jar a whole dollar :
Amount to be added :
1 - (0.03 + 0.70)
1 - 0.73
= $0.27
