Use the discriminant to find the number of real solutions of the equation 3x2 – 5x + 4 = 0. Show your work.
1 answer:
So the equation to find the discriminant is , with a = x^2 coefficient, b = x coefficient, and c = constant. Using that formula, our equation is
- Firstly, solve the exponent and multiplications:
- Next, do the subtraction, and your discriminant is -23.
Now because the discriminant is <u>less than zero</u>, there are <u>no real solutions.</u>
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Answers:
Ava’s graph is a vertical translation of f(x) = x^2.
Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.
Ava’s graph has a y-intercept of 4.
Given:
Ava graphs the function .
Victor graphs the function
To find y intercept we plug in 0 for x
= 4
So ,Ava’s graph has a y-intercept of 4.
Ava graphs the function
If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.
Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.
Victor graphs the function
If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.
Answer:
Step-by-step explanation:
Given
Shape: Cube
Dimension: (x+7y), (7x-y) and (xy-5).
Required
Determine the volume
The volume is calculated by multiplying the dimensions:
Evaluate the first 2 brackets
Open brackets