It's a linear function. We need only two points to draw a graph.
We choose any values of x and calculate the value of y.

for x= 0 → y = 3(0) - 1 = 0 - 1 = -1 → (0, -1)
for x = 2 → y = 3(2) - 1 = 6 - 1 = 5 → (2, 5)

for x = 0 → y = 3(0) - 1/3 = 0 - 1/3 = -1/3 → (0, -1/3)
for x = 2 → y = 3(2) - 1/3 = 6 - 1/3 = 5 2/3 → (2, 5 2/3)
Answer: A
Step-by-step explanation:
For this problem, we need to understand how translations work.
As you can see, the triangles only slide to the right side, along the x axis. Therefore, we can eliminate B and C.
Now, we can see that the triangle has shifted by +8 units. Therefore, A is the correct answer.
Step-by-step explanation:
given,
amount she deposited in bank = $450
amount get automatic deducted each month for her gym membership = $35.20
So, amount of money will left at the end of 4 months = 4 × 35.20 = $140.8
so, $450 - 140.8 = $309.2
therefore, $309.2 amount will remain at the end of 4 months.
Step-by-step explanation:
Claim: There's 14 Goats and 9 Chickens!!
Data:
Working with the Provided Information.
Let the Number of goats be x
let the Number of Chickens be y
x + y = 23..... (i)
Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.
The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y
4x + 2y = 74 .....(ii)
BRINGING BOTH EQUATIONS TOGETHER.
x + y = 23
4x + 2y = 74
From Eqn i
x= 23 - y
Substitute into eqn ii
4(23 - y ) + 2y = 74
92 - 4y + 2y = 74
92 - 2y = 74
2y = 92 - 74
2y = 18
y= 9.
Substitute y into any of the eqns to get x
x + y = 23
x + 9=23
x = 23 - 9
x = 14
This simply proves that there are 14 Goats and 9 Chickens!!!.
HAVE A GREAT DAY!
Answer:
5a+1 1/2=4
a = 1/2
Step-by-step explanation: