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
Included a pic of the solution and work.
Answer:
D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 × 10^6
Step-by-step explanation:
Maria’s hard drive holds 1.0 ×10^6 megabytes of data. Larry has two hard drives, one that holds 5.1 × 10^5 megabytes of data and one that holds 7.7 × 10^5 Which statement is true? A) Maria can store more data than Larry because 10^6 > 10^5 B) Larry can store more data than Maria because 5.1 + 7.7 = 12.8 and 12.8 > 1.0 C) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^5 D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^6
Given:
Maria’s hard drive stores 1.0 × 10^6 megabytes of data.
Larry has two hard drives,
Hard drive A = 5.1 × 10^5 megabytes of data
Hard drive B = 7.7 × 10^5
Hard drive A = 5.1 × 10^5
Hard drive B = 7.7 × 10^5
Hard drive A + hard drive B
5.1 × 10^5 + 7.7 × 10^5
= 12.8 × 10^5
Making sure Maria's hard drive and Larry's hard drive are in the same standard form
= 1.28 × 10^6
Maria's hard drive can only store 1.0 × 10^6 megabytes of data while Larry's hard drive can store 1.28 × 10^6
Therefore,
D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 × 10^6
Okay, do you have an equation for me to solve
Answer:
The quadratic formula: (-b+-sqrtb^2-4ac)/2a
Plugging in the values of a=1, b=9, and c=10, the roots of the equation are: -7.7 and -1.3.
So, the first option is correct.
Let me know if this helps!
