Hey there!
To find the discriminant of an equation, you first need to identify the A, B, and C of your equation. You can do this by comparing your equation to the standard form.
Standard Form: ax² + bx + c
Equation: 3x² – 10x + 2
If you add 2 to both sides, you can get everything on one side and you can assure that all of your numbers are accurate.
A will be equal to 3, B will be –10, and C will be 2.
Now, you need to plug in those numbers into the discriminant equation:
b² – 4ac
If your discriminant is 0, there is one rational solution. If it's a positive perfect square, there are 2 rational solutions. If it's a positive non–perfect square, there will be 2 irrational solutions, and if it's a negative number, there will be 2 complex solutions.
Hope this helped you out! :-)
Answer:
84 months
Step-by-step explanation:
Maria is 7 years old, there are 12 months in a year, multiply 12 by 7.
12 * 7 = 84
Maria is 84 months old
From the information given, the original price per pound was increased by $ 0.75
Let the original price be x, so the new price is x + 0.75
Sam bought 3 pounds of apples at new price and it cost him 5.88
so we form an equation:
3 (x + 0.75) = 5.88
3x + 2.25 = 5.88
3x = 5.88 - 2.25
3x = 3.63
x = 3.63 / 3
x = 1.21
Therefore the original price per pound is 1.21 dollars
Answer:
Step-by-step explanation:
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the homework grade, to the nearest integer, for a student with a test grade of 31.
Homework Grade (x) Test Grade (y)
58 52
75 66
66 68
85 74
52 38
74 65
78 76
