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:
The first answer.
Step-by-step explanation:
The first answer.
What was the temperature of the air?
'was 2C warmer than the surface of the ice'
warmer than= +2c
Temp. of ice=-2c
-2c+2c=0
Answer:
the one with pink and white at the top, and the same one with purple and blue on the bottom
Step-by-step explanation:
Answer:
1. D. is Brand B
2. 60 mikes per hour
3. is 40 mins
4. is A. 3/20 u are multiplying
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Data provided in the question:
Standard error = 1.5 minutes ( ∵ number are repetitive 1.51.5 )
Standard deviation = 9 minutes ( ∵ number are repetitive 99 )
Now,
Standard error = ( Standard deviation ) ÷ √n
Here,
n is the sample size
Therefore,
on substituting the respective values, we get
1.5 = 9 ÷ √n
or
√n = 9 ÷ 1.5
or
√n = 6
or
n = 6² = 36
