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:
4m^2-3mn^2+5
Step-by-step explanation:
<h3>
Answer: 22%</h3>
Explanation:
amount saved = 350-273 = 77 dollars.
Divide this amount over the original price
77/350 = 0.22 = 22% is the discount rate
Answer:
5×10⁻²
Step-by-step explanation:
- Move the decimal so there is one non-zero digit to the left of the decimal point.
- The number of decimal places you move will be the exponent on the 10. a. If the decimal is being moved to the right, the exponent will be negative.
b. If the decimal is being moved to the left, the exponent will be positive.
- Therefore. The answer is 5×10⁻²
Answer:
This is a function and it's because there's only one input for every output.
Step-by-step explanation:
Note: Although 5 and 1 both point to the same number this doesn't take away the validity of the function. :)
