Answer:
Two complex (imaginary) solutions.
Step-by-step explanation:
To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.
The discriminant formula for a quadratic in standard form is:

We have:

Hence, a=3; b=7; and c=5.
Substitute the values into our formula and evaluate. Therefore:

Hence, the result is a negative value.
If:
- The discriminant is negative, there are two, complex (imaginary) roots.
- The discriminant is 0, there is exactly one real root.
- The discriminant is positive, there are two, real roots.
Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.
Answer:
x = -10/3
Step-by-step explanation:
−4(x−5)=−7x+10
Use the distributive property to multiply −4 by x−5.
−4x+20=−7x+10
Add 7x to both sides.
−4x+20+7x=10
Combine −4x and 7x to get 3x.
3x+20=10
Subtract 20 from 10 to get −10.
3x=−10
Divide both sides by 3.
x = -10/3
Answer:
1
Step-by-step explanation:
because there were 4 games playes in total and he attended 3 of the 4 games so 4-3=1
Answer:
Distance (rounded to the nearest hundredth): 2.23
Slope: -2
Step-by-step explanation:
Answer:
1/9
Step-by-step explanation:
this is (-3)^(0-2) = (-3)^(-2) = 1 / 9.