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
Answer: this question may be easier to answer if you actually graph it. You can also use the app Desmos on the AppStore which is free to find the solution.
Step-by-step explanation:
Answer:
<h2>
y = 3.5x + 15</h2>
Step-by-step explanation:
Number of months is x, and number of pairs of shoes after each month is y.
7 new pairs of shoes every 2 months means that after each month:
y = 7/2 x
We need to add the 15 pairs from start.
y = 3.5x + 15
Answer:
20.428571
Step-by-step explanation:
C=(22/7)d
C=(22/7)6.5
C=20.428571
