Answer:
(-1,4) is a solution to the system.
Step-by-step explanation:
For this problem, we can simply identify if this point is a solution by verifying the plugged in point values allow the left hand side to equal the right hand side.
(1) -2x - 3y = -10
-2(-1) - 3(4) ?= -10
2 - 12 ?= -10
-10 == -10
(2) -3x + y = 7
-3(-1) + (4) ?= 7
3 + 4 ?= 7
7 == 7
Since both equations are satisfied by this point, then we can say the point (-1,4) is a solution to the system. Additionally, this means this is a crossing point of the system of equations.
Cheers.
That's the ratio of 4,126,532 to 1,000,000 so it's rational.
Here's a little factoid that I never see mentioned anywhere, but I think it can be really helpful to know:
==> Any number that you can WRITE DOWN COMPLETELY using digits (plus a decimal point or a fraction bar if you need them) is a rational number.
If " 4.126532 " is the whole thing, you sure nuff wrote it down, so it's rational.
9 + 5 + 4 + 7 = 25
Ratio = 5 : 25
Ratio = 1 : 5 <==== answer
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = 
= 
, thus
y = x + c ← is the partial equation
To find c substitute either ot the 2 points into the partial equation
Using (2, - 3), then
- 3 = 
+ c ⇒ c = - 3 - = - 
y = x - ← equation of line
Answer:
Step-by-step explanation:
since g(x) is equal to 
, you just plug in the value of 2 for x, to get 
, and 2 to the power of 2 (also known as 2 squared) is equal to 4, which makes your equation 
, which equals 5.
