Identify the factors of 4x2 + 12x + 9
2 answers:
You might be interested in
Answer:
289 messages
equation:
graph: attached below
Step-by-step explanation:
We can write this in slope-intercept form, or . Since x is defined as the #of text messages, and 0.05 is the cost of a text message, 0.05 will be m. 45.5 is the base price, or the y-intercept, so it will be b.
Plugging in these numbers, we get
now we make y = 60, since that is the total amount they have
So, they can send 290 messages for 60, but they need the bill under 60, so 1 text message less will be 289, and that's enough.
We are looking for the hypotenuse in this right triangle. The reference angle is 41 degrees. We have that angle and the side that is opposite that angle, 22, so the trig identity that we will use that relates the side opposite to the hypotenuse is sin. Our ratio would be set up like this: 
. Solving for xy we will have 
, choice D from above.