In each case, you can use the second equation to create an expression for y that will substitute into the first equation. Then you can write the result in standard form and use any of several means to find the number of solutions.
System A
x² + (-x/2)² = 17
x² = 17/(5/4) = 13.6
x = ±√13.6 . . . . 2 real solutions
System B
-6x +5 = x² -7x +10
x² -x +5 = 0
The discriminant is ...
D = (-1)²-4(1)(5) = -20 . . . . 0 real solutions
System C
y = 8x +17 = -2x² +9
2x² +8x +8 = 0
2(x+2)² = 0
x = -2 . . . . 1 real solution
Answer:
point a
Step-by-step explanation:
(0,-7) would be left 7 units so its point a
Answer:
The next three terms are 10, 12.5 and 15
Step-by-step explanation:
I. As you can see 5 and 7.5 is came from 5, 5 + 2.5
So given y = 5 + 2.5( x - 1 ) when y is output, x is term
II. Perform x = 3, 4, 5
So y = 5 + 2.5( 3 - 1 )
= 5 + 5
3rd = 10
y = 5 + 2.5( 4 - 1 )
= 5 + 7.5
4th = 12.5
y = 5 + 2.5 (5 - 1)
= 5 + 10
5th = 15
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Answer:
$10.00
Step-by-step explanation:
$200 x . 05 = $10.00
