Answer:
a. x = 2 , x = -5
b. no real roots
Step-by-step explanation:
<u>a. x² + 3x – 10</u>
= x² - 2x + 5x - 10
= x (x²/x - 2x/x) + 5 (5x/5 - 2*5/5)
= (x - 2) (x + 5)
x - 2 = 0 x + 5 = 0
+ 2 +2 -5 -5
-------------- ---------------
x = 2 x = -5
x = 2 , x = -5
<u>b. 2x² - 4x + 3 </u>
This can't be solved because the equation has no real roots, and also the discriminant is negative.
-3y = x...so we sub in -3y for x in the other equation
-x + 7y = 70
-(-3y) + 7y = 70
3y + 7y = 70
10y = 70
y = 70/10
y = 7
so we sub in 7 for y in either of the original equations to find x
-3y = x
-3(7) = x
-21 = x
so ur solution is (-21,7)
Answer:
The size is 37.5 degrees
Step-by-step explanation:
The total angle in the triangle is 180
Since the other two angles are congruent. it means that they are equal
Let us call each of the angles x
Mathematically,
x + x + 105 = 180
2x = 180-105
2x = 75
x = 75/2
x = 37.5
The 8 percent commission must be at least $1000.
8% = $1000
1% = $125
100% = $12500
Hence, Jim needs to sell $12500 dollars worth of widgets.
