Answer:
B. f(x) =-150+1500
Step-by-step explanation:
Let x represents the number of months and y represents the savings account balance ( in dollars )
Thus, table would be,
x 0 2 4 6
y 1,500 1,200 900 600,
Let the linear function that represents the above table is,
y = mx + c
By the table,
1500 = m(0) + c ⇒ c = 1500,
Again by the table,
1200 = m(2) + c
1200 = 2m + 1500
-300 = 2m ⇒ m = -150
The function would be,
y = -150x +1500
Since, 900 = -150(4) + 1500
600 = -150(6) + 1500
The whole table satisfy the equation y = -150x +1500,
Hence, the linear function that models the given table is,
y = -150x +1500
Option 'B' is correct.
Alright, lets get started.
Please refer the diagram I have attached.
The red line indicates the movement of student.
The movement of bird is indicated by orange line.
There will a right angle triangle made with sides measuring
One side will be = 0.5 miles
second side will be = ![1 - 0.2 = 0.8 miles](https://tex.z-dn.net/?f=1%20-%200.2%20%3D%200.8%20miles)
The hypotenuse will be the orange one
So, using Pythagorean theroem,
![c^2 = a^2 + b^2](https://tex.z-dn.net/?f=c%5E2%20%3D%20a%5E2%20%2B%20b%5E2)
![c^2 = 0.5^2 + 0.8^2](https://tex.z-dn.net/?f=c%5E2%20%3D%200.5%5E2%20%2B%200.8%5E2)
![c^2 = 0.25 + 0.64](https://tex.z-dn.net/?f=c%5E2%20%3D%200.25%20%2B%200.64)
![c^2 = 0.89](https://tex.z-dn.net/?f=c%5E2%20%3D%200.89)
Taking square root on both sides
![c = 0.94](https://tex.z-dn.net/?f=c%20%3D%200.94)
So the bird has to fly 0.94 miles . : Answer
Hope it will help :)
Answer:
the answer is 90%
Hope this helps! Good luck
24x-1+20x+5=180
44x+4=180
44x=176
x=4
Therefore, 20x+ 5 is equivalent to 20(4)+5
20(4)+5
80+5
85
Hope this helps :)
Answer:
C. x=-4.5
Step-by-step explanation:
To solve, you need to Isolate the variable
To do this, you need to get rid of the -2.9 next to the x
Do this by adding (it cancels out the -2.9 on the left side) 2.9 to the WHOLE EQUATION.
This leaves you with x=-4.5 or C