Answer:
14. 6 x 
15. 28.615 x 
16. I'm so sorry, I'm not sure!
17. 1.26 x
18. 1.639 x 
19. 2.025 x
<em>Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!</em>
<em></em>
<em>-Aphrodite</em>
Step-by-step explanation:
Answer:
-1.25, 2, 3.5
Step-by-step explanation:
(x-2)(2x-7)(4x+5)=0
(2x^2-7x-4x+14)(4x+5)=5
from now on you know that either
(2x^2-7x-4x+14)=0 or
(4x+5)=0
By solving the first eqation (2x^2-7x-4x+14)=0
you get x = 2 or 3.5
By solving the second equation (4x+5)=0
you get x = -1.25
Answer:
Equation: 5c + 7 = 2
Solution: The number is -1.
Step-by-step explanation:
The unknown number is c.
"the product of a number and 5" is 5c
"Seven more than the product of a number and 5" is 5c + 7
"Seven more than the product of a number and 5 equals 2" is 5c + 7 = 2
The equation is
5c + 7 = 2
To solve, we first subtract 5 from both sides.
5c + 7 - 7 = 2 - 7
5c = -5
Now divide both sides by 5.
5c/5 = -5/5
c = -1
Answer: The number is -1.
Firstly expand (x - 3)(ax^2 + bx + c):
ax^3 + bx^2 + cx - 3ax^2 - 3bx - 3c
Now rearrange it so that it's in the form ax^3 + bx^2 + cx + d:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c
Now we can compare both equations:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c = 2x^3 - x^2 - 19x + 12
We get:
(1) a = 2
(2) b - 3a = -1
(3) c - 3b = -19
(4) -3c = 12
If we substitute (1) into (2) we get:
b - 3*2 = -1
b - 6 = -1
b = 5
Now if we solve (4) we get:
-3c = 12
c = -4
Therefor a = 2, b = 5 and c = -4
