M + f = 250 ;
m - 18 = ( 3 / 5)f ;
5m / 5 - 90 / 5 = 3f;
5m - 90 = 3f ;
5m - 3f = 90;
But, f = 250 - m;
5m - 3( 250 - m ) = 90 ;
5m - 750 + 3m = 90 ;
8m = 840;
m = 840 ÷ 8 ;
m = 105( beads for Maria );
f = 250 - 105 ;
f = 145 ( beads for Farida ) ;
A function with zeros -3 and 2 could be:
(x + 3)(x - 2) or x² + x - 6
Keep in mind that there are an unlimited number of functions that have these zeros, such as:
2(x + 3)(x - 2) or 2x² + 2x - 12
(x + 3)(x - 2)(x + 5) or x³ + 6x² - x - 30
Generally, the function just has to include the factors (x + 3) and (x - 2) to have the zeros -3 and 2.
To solve this problem you must apply the proccedure shown below:
1- You have the following quadratic expression <span>n^2-25.
2. When you factor, you obtain:
(n-5)(n+5)
3. To verify this is true, you can apply the distributive property, as below:
</span><span>n^2+5n-5n-25
</span><span>n^2+25
Therefore, as you can see, the answer is the second option, which is:
(n-5)(n+5)</span>
1.40 or 1.4 would be the square root of 2
Answer: x = 2 and z=78
Step-by-step explanation:
Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure). Z is Opposite to 78 angle, so z=78.
Adjacent angles add up to 180 degrees, and 78 and (5x + 92) are adyacents so:
5x + 92 + 78 = 180
5x + 170 = 180
5x = 180 - 170
5x = 10
x = 10/5
x = 2
