Answer:
The Townshend Acts would use the revenue raised by the duties to pay the salaries of colonial governors and judges, ensuring the loyalty of America's governmental officials to the British Crown. However, these policies prompted colonists to take action by boycotting British goods.
-Hope this helps :)
Answer: 15
Step-by-step explanation: Use the formula: 
Remember 
should always be the hypotenuse or the longest side.
---> evaluate the exponents
----> subtract 12544 to the other side
---> take the square root of both sides
The equation in standard form is 2x^2 + 7x - 15=0. Factoring it gives you (2x-3)(x+5)= 0. That's the first one. The second one requires you to now your formula for the axis of symmetry which is x = -b/2a with a and b coming from your quadratic. Your a is -1 and your b is -2, so your axis of symmetry is
x= -(-2)/2(-1) which is x = 2/-2 which is x = -1. That -1 is the x coordinate of the vertex. You could plug that back into the equation and solve it for y, which is the easier way, or you could complete the square on the quadratic...let's plug in x to find y. -(-1)^2 - 2(-1)-1 = 0. So the vertex is (-1, 0). That's the first choice given. For the last one, since it is a negative quadratic it will be a mountain instead of a cup, meaning it doesn't open upwards, it opens downwards. Those quadratics will ALWAYS have a max value as opposed to a min value which occurs with an upwards opening parabola. This one is also the first choice because of the way the equation is written. There is no side to side movement (the lack of parenthesis tells us that) so the x coordinate for the vertex is 0. The -1 tells us that it has moved down from the origin 1 unit; hence the y coordinate is -1. The vertex is a max at (0, -1)
10.99x = 3.99x + 280
7x = 280
x = 40
They must sell 40 T-shirts to break even
Answer:
Step-by-step explanation:
Given
See attachment for prism
Required
Find x
The prism has a regular hexagon base
The base area is calculated as:
This gives:
Side x represents the height.
So, we have:
Make x the subject
--- approximated
