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
Write 130 words about two plants in separate room and only talk to one will it grow faster. It wants me to describe your results and state the conclusion you can draw from these resultsWrite 130 words about two plants in separate room and only talk to one will it grow faster. It wants me to describe your results and state the conclusion you can draw from these resultsWrite 130 words about two plants in separate room and only talk to one will it grow faster. It wants me to describe your results and state the conclusion you can draw from these resultsWrite 130 words about two plants in separate room and only talk to one will it grow faster. It wants me to describe your results and state the conclusion you can draw from these resultsWrite 130 words about two plants in separate room and only talk to one will it grow faster. It wants me to describe your results and state the conclusion you can draw from these results<span>Write 130 words about two plants in separate room and only talk to one will it grow faster. It wants me to describe your results and state the conclusion you can draw from these results
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Answer: 2b = 3g
Step-by-step explanation:
This is quite basic to solve, below is a Step by step explanation:
from the given question we have that;
- A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute.
i.e b = 1500 gallons per minute
- A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute.
g = 1000 gallons per minute.
Our questions tells us to write the equation which relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
ANS:
Since flow from blue hydrant b = 1500 gallons per minute, we have that
b = 3 * 500
b = 3 * 1000/2 g
b = 3/2 g
equation gives 2b = 2g
cheers i hope this helped !!
Turn both equations into slope-intercept form [ y = mx + b ].
x + 3y = 3
~Subtract x to both sides
3y = 3 - x
~Divide 3 to everything
y = 1 - x/3
~Reorder
y = -1/3x + 1
4x + 3y = -6
~Subtract 4x to both sides
3y = -6 - 4x
~Divide 3 to everything
y = -2 - 4x/3
~Reorder
y = -4/3x - 2
Graph of the equations will be shown below. Note that the solution of graphing two equations will be where both equations intersect. Both lines intersect at (-3, 2), hence making that the solution.
Best of Luck!
