Answer:
- movie: $3.75
- video game: $5.75
Step-by-step explanation:
Two equations in two unknowns can be written:
3m +5v = 40
9m +7v = 74
These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to
is given by ...
- ∆ = bd -ea
- x = (bf -ec)/∆
- y = (cd -fa)/∆
For the numbers above,
- ∆ = 5·9 -7·3 = 24
- m = (5·74 -7·40)/24 = 90/24 = 3.75
- v = (40·9 -74·3)/24 = 138/24 = 5.75
The rental cost for each movie is $3.75; for each video game, it is $5.75.
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The attached graph shows a graphing calculator solution to these equations.
Answer:
9
Explanation:
9 root 2 = root 81 x root 2 = root 162
Root 162 = 12.7279220614
9^2 + b^2 = 12.7279220614^2
81 + b^2 = 162
b^2 = 81
Root both
B = 9
Answer:
(i) Center = (-1, -2)
(ii) Radius = 5 units
General Circle Equation:
<u>Where</u>:
- (h, k) is the center points
<u>Rewriting the equation</u>:
<u>Identify the following</u>:
- (h, k) = (-1, -2), radius = 5 units
Answer:
(y2 - y1)/(x2-x1)
Step-by-step explanation:
if you have 2 points (x1,x2) and (y1,y2), just plug it in the formula for slope m
m = (y2 - y1)/(x2-x1)
f(x) = x² - 2x - 7
f(-1), this means that x = -1.
Since you need to find f(-1), substitute/plug in -1 into "x" in the function:
f(x) = x² - 2x - 7 Plug in -1 into "x"
f(-1) = (-1)² - 2(-1) - 7
f(-1) = 1 + 2 - 7
f(-1) = -4 Your answer is B
