Answer:
Step-by-step explanation:
Taking into account the discriminant of a cuadratic function, values of c less than
cause the quadratic equation -x²+3x+c=0 to have no real number solutions.
<h3>Discriminant of a cuadratic function</h3>
The function f(x) = ax² + bx + c with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
The following expression is called discriminant:
Δ= b²- 4×a×c
The discriminant determines the amount of roots of the function. The roots are those values of x for which the expression is 0, so it graphically cuts the x-axis.
Then:
- If Δ <0 the function has no real roots and its graph does not intersect the x-axis.
- If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points .
- If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.
<h3>Value of c</h3>
In this case, for the quadratic equation -x²+3x+c=0 you know:
If the function has no real roots, the discriminant is less than zero (Δ <0). This is: b²- 4×a×c < 0
Substituting the corresponding values, you get:
3²- 4×(-1)×c < 0
Solving:
9 + 4×c < 0
4×c < -9
c< (-9)÷4
c< ![-\frac{9}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B9%7D%7B4%7D)
Finally, values of c less than
cause the quadratic equation -x²+3x+c=0 to have no real number solutions.
Learn more about the discriminant of a cuadratic function:
brainly.com/question/14477557
Answer:
Step-by-step explanation:
(-2, 0), (1, 2) = (2 - 0)/(1+2)= 2/3
The points which satisfy the inequalities in discuss are; Choices D (7,10) and F(8,17).
<h3>Which points omg the answer choices satisfy the system of inequalities?</h3>
It follows from the inequality; x > 5.
Also, substituting 5 for x in; y < 2(x); we have;
y < 10.
Hence, the points which satisfy the inequalities are; (8,17) and (7,10).
Read more on inequalities;
brainly.com/question/11613554
#SPJ1