Answer:
One solution (-1,2)
Step-by-step explanation:
Since these two linear equations have different slopes, different y-intercepts, and are indeed linear, these equations will only have one crossing when graphed, and hence one solution.
To find that solution, we can simply set the equations equal to each other.
y = -x + 1
y = 2x + 4
-x + 1 = 2x + 4
-3 = 3x
-1 = x
Now plug that value back into one of the equations:
y = -x + 1
y = -(-1) + 1
y = 2
So now you know the crossing for these two equations occurs at (-1,2).
Cheers.
I believe it’s C, hopefully this helps !!
Explanation: Just like any of your two-step equations,
in this inequality, start by isolating the x term which in this
case is -3x by subtracting 5 from both sides.
That leaves you with -3x < -24.
To get x by itself, divide both sides by -3 but watch out.
When you multiply or divide both sides of an inequality by a
negative number, you must switch the direction of the inequality sign.
So we have x < 8 and put your final answer in
set notation and it look like this → {x: x < 8}.
Answer:
its B. y=2(x+7/2)^2+1/2 :)
Step-by-step explanation:
Answer:
p = 6, q = - 1
Step-by-step explanation:
Using the rules of exponents
× 
= 
, 
= 
Given
xy = 32 , tat is
× 
= 
Since the bases on both sides are equal, equate the exponents
p + q = 5 → (1)
Also
2xy² = 32 ( divide both sides by 2 )
xy² = 16 , that is
× 
= 16
× 
= 
, then p + 2q = 4 → (2)
Thus
p + q = 5 → (1)
p + 2q = 4 → (2)
Subtract (1) from (2) term by term
q = - 1
Substitute q = - 1 into (1) for corresponding value of p
p - 1 = 5 ( add 1 to both sides )
p = 6
