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zimovet [89]
3 years ago
6

Please help..... Simplify each equation.

Mathematics
1 answer:
dybincka [34]3 years ago
8 0
A) this is the simplified form
( {x}^{3}  + 3 {x}^{2}  - 6) + ( {x}^{2} - x + 7) \\  =  {x}^{3}   + 3 {x}^{2}  - 6 +  {x}^{2}  - x + 7 \\  =  {x}^{3}  + 4 {x}^{2}  - x + 1
b)
(5 {x}^{2}  - 4x + 7) - ( {x}^{2}  - 2x - 5) \\  = 5 {x}^{2}  - 4x + 7 -   {x}^{2}  + 2x + 5 \\  = 4 {x}^{2}   - 2x + 12
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Solve for x. enter your answer in interval notation using grouping symbols. x^2+15x<-36
Oliga [24]
X²+15x+36<0

at first solve quadratic equation

D=b²-4ac= 225-4*1*36= 81

x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3

we can write x²+15x+36<0 as (x+12)(x+3)<0

(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
 1 case)      x+12<0, and x+3>0,                                            
                       x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set

or second case)  x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3)  they are crossing , so (-12, -3)  is a solution of this inequality


3 0
4 years ago
Out of 75/6 is 72%. (Write as a fraction in simplest form.)
Vinvika [58]

Answer:22%

Step-by-step explanation:

7 0
3 years ago
If you answer this correctly I will give brainiest you have 30 minutes to answer PLZ ANSWER!!! and I will give you 20 points!
beks73 [17]
Explanation is in a file

4 0
3 years ago
Pete took a sample of moviegoers to see how many are seeing a comedy. Sample size: 175 Number seeing a comedy: 42 Population: 1,
Anastaziya [24]

Answer: Part A : c = n.p

Part B = 366 moviegoers

Step-by-step explanation: In part A, to predict the number of moviegoers, we have to find the <u>proportion</u> of the sample that does the activity, which will called <u>p</u>. Since <u>p</u> is a percentage, to determine how many moviegoers are seeing a comedy, you multiply it by the sample size, <u>n</u>.

Therefore: c = n.p

For part B, based on the the sample:

p = \frac{42}{175} = 0.24

The total population is given: 1,525

c = 0.24.1,525

c = 366

Based on the sample, <u>366</u> <u>people</u> are seeing a comedy.

3 0
3 years ago
CAN SOMEONE PLEASE HELP ME
Natalka [10]
Ima say supplementary
6 0
3 years ago
Read 2 more answers
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