Following the graph as listed we can immidiately say that (1/2,-2) & (-2,-8) must be wrong. This can be seen by the fact that the line's don't intersect in quadrants 1 & 4. It also cannot be greater than -2 or y would not =-2. Thus it must be (-1/2,-2) or (-2,1/2) and because we know they don't intersect in quadrant two, t<u>he correct answer must be (-1/2,-2)</u>. So the last answer is correct for the intersection point.
<em>TLDR: (-1/2,-2) is the correct answer. </em>
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Count the squares in between each letter.
Point Q is 6 units from Point R
Point R is 7 units from Point T
Point T is 3 units from Point S
For the area, it is easiest to take the area of each of those shapes and then add them.
(3*7/2) + (6*7)
10.5 + 42 = 52.5 Square Units
Answer:
x = -4 and x = -2
Step-by-step explanation:
Answer:
d). 3/5.
Step-by-step explanation:
The greatest common factor of 18 and 30 is 6, so we divide top and bottom of the fraction by 6:
18/30
= (18/6) / (30/6)
= 3/5.
Answer: 16
Solution:
1) Use letters to identify the variables:
Number of trumpets: t
Number of clarinets: c
2) Translate each statement into algebraic (mathematical) language.
2.1) Sold a total of 27 used trumpets and clarinets
=> t + c = 27
2.2) Trumpets cost $149 and clarinets cost $99
Total cost of the trumpets: 149t
Total cost of clarinets: 99c
Total cost = 149t + 99c
2.3) Total sales were $3223
=> 149t + 99c = 3223.
3) State the system of equations:
Equation (1) t + c = 27
Equation (2) 149t + 99c = 3223
4) Solve the system of equations:
4.1) Multiply equation 1 by 149:
=> 149t + 149c = 4023
4.2) Subtract the equation (2) from the equation obtained in 4.1
=> 149c - 99c = 4023 - 3223
=> 50c = 800
=> c = 800 / 50 = 16
5) Verify the solution:
From equation (1) t = 27 - 16 = 11
Total cost = 149*11 + 99*16 = 3223
Now you have a verified answer: they sold 16 clarinets
