Your choices are correct.
1. adding -3 to the function shifts its graph downward by 3 units.
2. 7^(2x) = (7^2)^x = 49^x
3. f(0) = -6; g(0) = -3, f(0) = 2×g(0)
Answer:
Step-by-step explanation:
Square
The side length of the square = 8 cm
The area of the square = s^2
The area of the square = 8^2 = 64
Circle
r = d/2
r = 8/2
r = 4
Area of the circle = pi r^2
Area of the circle = 3.14 * 16
Area of the circle = 50.24
Shaded Area
Area of the Shaded area = area Square - Area Circle
= 64 - 40.24
= 23.76
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut point with the y axis.
By definition, if two straight lines are parallel then their slopes are equal. Thus, the slope of the line sought will be 
We substitute the given point to find b:
Finally the line is:
Answer:
Answer:
7(6m - 4) = -364
multiply 7 for both variables in the parenthesis
42m - 28 = -364
move 28 to other side
42m= -336
divide 42 on both sides
m= -8
1) -3(5x+2y=-3)⇒ -15x-6y=9
⇒ -9x=27
2(3x+3y=9)⇒ 6x+6y=18
2) -9x/-9=27/-9 ⇒ x=-3
3) 3(-3)+3y=9⇒ -9+9+3y=9+9⇒ 3y/3=18/3⇒ y=6
Answer: (-3,6)
Reasoning:
Step 1) In order to eliminate, first I had to multiple the first equation by -3 and the second by 2 so that when combining the equations y would cancel each other out so that I could solve for x. <em>Note: There are many combinations as to how you could multiple the equations so that either the x or y would cancel out.
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Step 2) Once y is eliminated, solve for x.
Step 3) Now plug x back into one of the original equations and solve for y. <em>Note: Plug x back into one of the original equations, not the equations that were changed by multiplication,</em>
