The definition of a system is a set of rules, an arrangement of things, or a group of related things that work toward a common goal. An example of a system are the laws and procedures of a democratic government. An example of a system is the way someone organizes their closet.
Answer: 3
Step-by-step explanation:
In theory we know that the equation of a linear function is expressed as
Eq.(1): y = m*x + c,
where m is the slope and c is a constant.
From the table we know the values of x and y, so we can use any of those, but in this case lets use the first and third rows of the table and substituting in Eq.(1) we obtain a 2-equation system as follow:
Point (-2,-2) gives: -2 = (-2)*m + c Eq.(2)
Point (0,4) gives: 4 = (0)*m + c Eq.(3)
Now rearranging Eq.(2) we get: -2 = -2*m + c <=> -2 - c = -2m Eq.(4)
Then rearranging Eq.(3) we get: 4 = 0 + c <=> c = 4
Plugging the value of c in Eq.(4) we get:
-2 = -2m + 4 <=> -2 - 4 = - 2m <=> -6 = -2m <=> m = 3
So finally and from Eq.(1) we obtain
y = 3x + c
Let's begin by assigning a letter to represent our unknown: x = # of toppings to be added to each pizza Now let's come up with expressions for the cost of each pizza with its toppings: Palanxio's Pizza: 6.80 + 0.90x Guido's Pizza: 7.30 + 0.65x Now let's equate the costs of both pizzas and solve for our unknown (x): 6.80 + 0.90x = 7.30 + 0.65x 0.90x - 0.65x = 7.30 - 6.80 0.25x = 0.50 x = 0.50/0.25 x = 2 toppings to be added to each pizza Finally, we can verify our answer by plugging it back into our equation and see if both costs are the same: 6.80 + 0.90x = 7.30 + 0.65x [equation] 6.80 + 0.90(2) = 7.30 + 0.65(2) [answer plug-in] 6.80 + 1.80 = 7.30 + 1.30 $8.60 = $8.60 [both costs are the same] Since both costs are the same, we are confident that our answer is correct.
Answer:
in the last one 3+4+4×15=67
in the first if we see there are three shapes if we divide 45/3 so the value of each shape is 15
in the second there are two bananas and one shape as we know the value of shape so 23-15=8 as there are two bananas so the value of each banana is 4
in the third there are two clocks and one banana as we know the value of banana so 10-4=6 as there are two clocks so the value of each clock is 3
from above
shape=15 banana=4 and clock =3 pitting in the equation gives us the value of 67
Step-by-step explanation:
i hope this will help you :)
