Answer:
y = 3x + 4
Step-by-step explanation:
slope = (y2 -y1)/(x2 - x1)
y2 = 19
y1 = 7
x2 = 5
x1 = 1
Slope = (19 - 7)/(5 - 1)
slope = 12 / 4
slope = 3
So far what you have is
y = 3x + b To solve for b, use either of the two points.
x = 1
y = 7
7 = 3(1) + b
7 = 3 + b
b = 4
The final equation is
y = 3x + 4
We should check that with the other point
x = 5 Find y
y = 3(5) + 4
y = 15 + 4
y = 19 Ans it checks.
Answer:
The cost of one taco is $0.87 and the cost of one enchilada is $1.16
Step-by-step explanation:
Let the cost of tacos be X
and cost of enchiladas be y
So, by using given data, we have following equations
3X + 2Y = 4.93 (1)
2X + 4Y = 6.38 (2)
So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.
= 2 × ( 3X + 2Y = 4.93) (1)
= 3 × (2X + 4Y = 6.38) (2)
= - (6X + 4Y = 9.86) (1)
= 6X + 12y = 19.14 (2)
= 8Y = 9.28
Y = 9.28 ÷ 8 = 1.16
By putting the value of Y in equation 1, we get
3X + 2(1.16) = 4.93
3X + 2.32 = 4.93
X = 2.61 ÷ 3 = 0.87
Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.
Answer:
Joshua walked 48 feet in total.
Step-by-step explanation:
To find the total distance we need to sum every distance that he walked. We have:
- First: Joshua walked down the hall to the door = 14 feet
- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet
- Third: He came straight back across the yard and stopped to pet his dog = 10 feet
Hence, the total distance is:
Therefore, Joshua walked 48 feet in total.
I hope it helps you!
D. -2p + q - 5 - you have to multiply, then distribute parentheses and apply plus or minus rules.
