Answer:
The system has infinitely solutions
Step-by-step explanation:
we have


Multiply by 3 both sides
----> equation A
The equation A is a circle centered at origin with radius 
and


Divide by 5 both sides
----> equation B
The equation B is a circle centered at origin with radius 
Equation A and Equation B are the same
Therefore
The system has infinitely solutions
The first thing is the slope
y = 1/2 x + b is the new line. Now we must solve for b
2 = 1/2 (-2) + b
2 = -1 + b
3 = b
The new line is
y = 1/2 x +3
Answer:
2774
Step-by-step explanation:
start by multiplying 2 by 7, the answer is 14 put the 1 above the 8 in 1387 then put the 4 under the equation, similar to addition. repeat but next time when you multiply 2 by 8 add the 1 (from the previous multiplication) to the answer under and put the 1 from 17 on top of the 3. you get it?
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,




= -2.5


= 2.5


= 7.5
2nd difference,


= 5


= 5


= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
50*x=80 (x=percent in decimal form)
x=1.6 (divide both sides by 50)
Doubke check:
50*1.6=80
80=80
Convert 1.6 into a percent:
1.6 -> 160%