Answer:
[-3, 3]
Step-by-step explanation:
The range of <em>y = sin x</em> is the interval [-1, 1].
When you multiply the function by -3, you invert the function (symmetry with respect to the x-axis) and stretch is by a factor of 3 vertically.
The range now is [-3, 3]
For this case we propose a system of equations.
We know that a dime equals 10 cents and a nickel equals 5 cents.
So:
x: Let the variable that represents the number of dimes
y: Let the variable that represents the number of nickels
According to the statement we have:
We multiply the first equation by -0.10:
We have the following equivalent system:
We add the equations:
So, Jeff has 3 nickels
Jeff has 12 dimes.
Answer:
12 dimes and 3 nickels
Answer:
28.2743 square feet (28 square feet, rounded)
Step-by-step explanation:
The area of a circle is given by the equation
Area = πr^2
Plug in 3 for the radius
Area= π(3)^2
3 squared is 9
Area= 9 π
Area= 28.2743 square feet
Rounded to the nearest square foot, the area of the circle is 28 square feet.
Answer:
9
Step-by-step explanation:
7r+18=r²
r²-7r-18=0
factorizing
r²+2r-9r-18=0
r(r+2)-9(r+2=0
(r-9)(r+2)=0
r-9=0
r=9
check
(r²)=(9*9)=81
7r+18=7(9) + 8=81
Answer:
B.60 inches
Step-by-step explanation:
you know you can consider two triangles because of the diagonal cut. and the distance wound be √(36²+48²)=60 inches
