Answer:
t=2
j=1
Step-by-step explanation:
3 tacos and a juice is $7
3t+j=7
4 tacos and 2 juices is $10
4t+2j=10
We have a simultaneous equation. It can be solved either by substitution method or Elimination method. For the purpose of this question, the elimination method will be used
3t+j=7 Equation 1
4t+2j=10 Equation 2
To eliminate j, we multiply Equation 1 by 2, the coefficient of j in equation 2, so that in both equations, j can have the same coefficient.
2(3t+j=7)
6t+2j=14 Equation 3
We now have
4t+2j=10 Equation 2
6t+2j=14 Equation 3
We subtract equation 2 from equation 3, to eliminate j
6t-4t=2t
2j-2j=0
14-10=4
We have 2t=4
Divide both sides by 2
2t/2=4/2
t=4/2
t=2
Substitute t for 2 in equation 1, to get j
3t+j=7
3(2)+j=7
6+j=7
j=7-6
j=1
One taco cost $2 while 1 juice cost $2
Answer:
sum of the polynomials is 
Step-by-step explanation:
Given polynomial is (7 x^3– 4 x^2) + (2 x^3 +3 x)
adding x^3 terms, now we get
Therefore the sum of given polynomial is
Answer:
( 3 
) unit²
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Using the trigonometric identity
cotx = 
Given
3cotθ = 2 , then
3
= 2 ( multiply both sides by sinθ )
3cosθ = 2sinθ ( subtract 3cosθ from both sides )
2sinθ - 3cosθ = 0
Thus
= 
= 0
Answer:
Pool K cost equation : 30 + 5V , Pool M cost equation : 10 + 10V
Pool K slope & intercept = 30 & 5 , Pool M slope & intercept = 10 & 10
Step-by-step explanation:
Total cost [Pool] = Fixed (membership) cost + Variable cost (per visit)
<u>Intercept</u> is part at which equation line intersects x or y axis. In pools case, it is fixed (membership) cost. <u>Slope </u> is change in y due to change in x. In pools case, it is variable cost (per visit)
Pool K cost equation : 30 + 5V , Pool M cost equation : 10 + 10V
where V = number of visits.
Pool K slope & intercept = 30 & 5 , Pool M slope & intercept = 10 & 10
