The value of b^2-4ac is known as the discriminant of a quadratic function, and can tell you how many roots exist of this function depending on what it is equal to.
Start by moving the -1 to the other side, as we need this function to equal zero.
2x^2 + 3x + 1 = 0
This is now the standard form ax^2 + bx + c = 0. Plug each value that corresponds into the discriminant equation.
b^2-4ac
(3)^2 - 4(2)(1)
9 - 8
1
The value of the discriminant is 1, meaning that two real roots exist for the function described.
Answer – Angle Measure
Generally speaking, when similarity transformations are performed on a triangle, the angle measure is preserved, whereas the length of the sides may be enlarged or reduced depending on the scale factor of the transformation, thus giving rise to similar triangles with corresponding angles that have exactly the same measure and corresponding sides that are proportional.
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Answer: half the number?
If you write an equation for it:
Let the number be x
1/2x = x - 1/2x
Option B is correct
Why
3x=21
3(7) =21
21=21
Step-by-step explanation:
I'm not going to do the entire question, but I'll do the first part.
For the first part, you have to set up an inequality. Use context clues, such as
no more than (the one used in this sentence) to figure out what the symbol should be for the inequality.
In this case, because it is NO MORE THAN 6400, it would be:
6400

250r + 475p
where r represents the # refrigerators, and p represents the # pianos
Now that you have the equation, make the graph, then for the 3rd part, plug in 12 and 8 to r and p to see if it keeps the inequality true.
Hope this helps! :)