Hey can I have brainlyist I only need one more :)
The value of x is 1.25 or 1 1/4
Explanation
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275x=500-125x
Move variable to the left side and change its sign
275x+125x=500
Collect the like terms
275x+125x=500 =====> 400x=500
Divide both sides of the equation by 400
400x/400=500 =======> x=5/4 which is the same as 1 1/4 or 1.25
Hope this helps : )
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
