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malfutka [58]
2 years ago
15

Explain how to solve one absolute value equation by writing it as two equations.

Mathematics
1 answer:
ddd [48]2 years ago
5 0
If you have
|a|=b, then solve for the variable in euations
a=b and a=-b
for ineqalities, it is much trickier

for
|a|>b, assume a>b and a<-b
for
|a|<b, asssume -b<a<b
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Daine simplified the expression below.
Dennis_Churaev [7]

Answer:

Step-by-step explanation:

8(1 + 2i) -  (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)

                          = 8 + 16i -7 + 3i

                          = 8 - 7 + 16i + 3i

                          = 1 + 19i

Daniel forgot to multiply 2i by 8

3 0
3 years ago
Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?
Vaselesa [24]
ANSWER

f( - 6) =  10


EXPLANATION

The given function is
f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40

According to the remainder theorem,

f( - 6) = R
where R is the remainder when
f(x)

is divided by
x + 6


We therefore substitute the value of x and evaluate to obtain,

f( - 6) =  { (- 6)}^{4}  + 8 {( - 6)}^{3}  + 10 { (- 6)}^{2}  - 7( - 6)+ 40




f( - 6) =  1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40




f( - 6) =  1296  - 1728 + 360  + 42+ 40



This will evaluate to,


f( - 6) =  10


Hence the value of the function when
x =  - 6

is
10



According to the remainder theorem,
10
is the remainder when

f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40
is divided by
x + 6
3 0
3 years ago
Double the sum of x and 5
jolli1 [7]

Answer:

2(x+5) = 2x+10

Step-by-step explanation:

2(x+5)

= 2*x + 2*5

= 2x+10

6 0
2 years ago
The third musketeer on this excursion bought an iWatch for $220, that was originally $250. What was the percent discount on his
Viktor [21]
30 dollars
250
- 220
——-
30
4 0
3 years ago
You are heading to Cedar Point for the day. It costs $50 to get in to the park and each ride costs $2 for a ticket. Write an exp
Makovka662 [10]

Answer: 50 + 2x

Step-by-step explanation: It's pretty basic math, you have your flat fee ($50) and then you add your variable 2x. 2 is multiplied by x so you can figure out the amount that it costs to ride the rides.

3 0
2 years ago
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