You have the correct answer checked already. B
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:
How far does Clare travel in one hour?
A: 36
How far does Clare travel in three hours?
A: 108
How far does Clare travel in 3.5 hours?
A: 126
Step-by-step explanation:
Find the Unit Value
72/2 = 36
Clare travels 36 miles per hour
Therefore, you must multiply the hours by the Unit travel time for the answers.
1 X 36 = 36
3 X 36 = 108
3.5 X 36 = 126
In physics, work is equal to the product of force and distance, given that the direction of force is the same with the direction of the distance.
W = Fd
The total force is
F = 1,700 N + 500 N = 2,200 N
Now, if the question is the work needed to lift the barbell from the ground, the distance would be 2 m. Hence, the work would be
W = (2,220 N)(2 m) = 4,400 N·m or 4,400 J
