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HELP WITH MATH FINAL​

HELP WITH MATH FINAL​-example-1

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1 vote

Explanation:

15.

D (2, -9), simply because it is the only point in the answer options that is on the curve (when you put x into the equation, y has to be the result - only for D possible).

16.

(7 + 2i)(4 - 5i) = 28 - 35i + 8i - 10i² = 28 - 27i + 10 =

= 38 - 27i

C.

17.

A.

-10 + 4 = -6

that defines the middle factor (-6x).

18.

for a quadratic equation

ax² + bx + c = 0

the solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

the discriminant is the argument of the square root :

b² - 4ac

in our case that is

14² - 4×3×8 = 196 - 96 = 100

19.

C.

(15 - 9i) - (23 - 14i) = 15 - 9i - 23 + 14i = -8 + 5i

20.

the solution is as described in 18.

x = (-6 ± sqrt(6² - 4×1×14))/(2×1) =

= (-6 ± sqrt(36 - 56))/2 = (-6 ± sqrt(-20))/2 =

= (-6 ± sqrt(-4×5))/2 = (-6 ± 2i×sqrt(5))/2 =

= -3 ± i×sqrt(5)

D.

21.

C.

-10 + 1 = -9

that defines the middle factor (-9x).

22.

(x + 2)² = 36

x + 2 = ±6

x + 2 = 6

x = 4

x + 2 = -6

x = -8

A.

User CLOUGH
by
8.2k points
0 votes

Answer:

15 = D

16 = C

17 = A

18 = C

19 = C

20 = D

21 = C

22 = A

User Ngu
by
7.4k points

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