Answer:
Exact Form:
3√3−3√155+12√333-3155+123
Decimal Form:
−34.57898412…
Answer: A. 2.5v+5v < 5v
Step-by-step explanation:
represents the piece of information which states that renting videos is $2.50 per game and the 2.5 is multiplied by the number of games v. Five is added as a monthly fee therefore the left side of the equation should be 2.5v+5.
For store T:
There is no monthly fee and so the renting fee of $5 per game is represented as 5v.
In conclusion, if the inequality sign in the middle is less than (<) then the left hand side of the inequality sign should represent store S and the right hand side should represent store T in order to answer the question. This makes option A the only correct option.
Answer:
a. 53
Step-by-step explanation:
The side with length 15 is opposite the right angle, so it is the hypotenuse of the right triangle.
For angle x, the side measuring 12 is the opposite leg.
Our 3 items of interest are: angle, opposite leg, hypotenuse.
The trig ratio that relates the opposite leg to the hypotenuse is the sine ratio.
sin x = opp/hyp
sin x = 12/15
sin x = 0.8
Now we take the inverse sine of 0.8 to find the measure of the angle.
x = sin^(-1) 0.8 = 53 deg
y = x² - 4x + 8
4x + y = 12
4x + y = 12
4x + (x² - 4x + 8) = 12
x² + 4x - 4x + 8 = 12
x² + 8 = 12
- 8 - 8
x² = 4
x = ±2
4x + y = 12
4(2) + y = 12
8 + y = 12
- 8 - 8
y = 4
4x + y = 12
4(-2) + y = 12
-8 + y = 12
+ 8 + 8
y = 20
(x, y) = (2, 4) and (-2, 20)