Answer:
x = -1 and x = 5
Step-by-step explanation:
<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>
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(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
Answer:
x + y = 10,999.5 (rounded up to 11000)
x - y = 3,000.3 (this would be rounded down to 3000)
Step-by-step explanation:
Assume;
Two numbers are x, y
So,
x + y = 11,000
.......eq1
x - y = 3,000
.........eq2
eq1 + eq2
So,
2x =14,000
x = 7,000
So y = 4,000
For rounding number
x = 6,999.9 (rounded up to 7,000)
y = 3,999.6 (rounded up to 4,000)
Sum;
x + y = 10999.5 (rounded up to 11000)
x - y = 3000.3 (this would be rounded down to 3000)
Answer:
The cosine of 86º is approximately 0.06976.
Step-by-step explanation:
The third degree Taylor polynomial for the cosine function centered at 
is:
The value of 86º in radians is:
Then, the cosine of 86º is:
The cosine of 86º is approximately 0.06976.
The answer is C!
Hope this helps!
can I pls get a brainleist!
Answer:
Number of weeks in a year = 52 weeks
If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for
Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.
Then in a year Jim's dog would get
So Jim's dog will get 17- 13 =4 treatments more.
4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment
