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hammer [34]
3 years ago
8

Solve the equation. 3 (x - 2)^2 - 8 = 5

Mathematics
1 answer:
monitta3 years ago
6 0

Answer:

Step-by-step explanation:

3(x-2)(x-2)-8=5

3[x^2-4x+4]-8-5=0

3x^2-12x+12-13=0

3x^2-12x-1=0

use the quadratic formula to find x   {  -b+-sqrt(b^2-4ac) } / 2a

where a =3 , b=-12 and c =-1  from our equation above

{ -(-12)+- sqrt[ (-12)^2 - 4(3)(-1) ] } /  [2(3)]

{ 12 +-  sqrt [ 144 + 12 ] } / 6

{ 12 +-  sqrt (156) } / 6

2 +- {sqrt ( 4 *13) } / 6

2 +- { 2 sqrt (13) } /6

2 +- sqrt (13) /3    

there you go  :)    

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Given a triangle with angles of 23°, 90°, 67°.
marishachu [46]

The answer is that it's a right triangle. One angle is 90°

8 0
3 years ago
Determine whether AB and CÓ are parallel, perpendicular or neither.
IRISSAK [1]

Answer:

Neither

Step-by-step explanation:

They do not form a 90° angle(so it's not perpendicular)

And they touch(so it's not a parallel)

8 0
3 years ago
Which values of a, b, and c represent the answer in simplest form?
Vladimir79 [104]

Answer:

1 16/24    1 2/3 answer is D

Step-by-step explanation:

3 0
3 years ago
A random sample of 1141 men and 1212 women aged 25-64 y (response rate 76%) completed a questionnaire and underwent a short exam
Dennis_Churaev [7]

Answer:

(a) A cross sectional study (b) The parameter can be computed as follows: Non-drinkers who agree exposed to obesity, Drinkers who are exposed or vulnerable to obesity (c) A postie relationship is established from the experiment between drinkers who are exposed to obesity and non drinkers who are exposed to obesity

Step-by-step explanation:

(a) The type of design is refereed to as a cross sectional study

(b) Now, because 50 men are beer drinkers out of 891 men.

Hence we can deduce form this that  500/891 gives us 0.56%.

This suggest that 0.56% men are beer drinkers out of which 325 have obesity, lets take for example 235/500 = 0.65% are exposed to obesity in which 80/ (89-500) = 80/491 = 0.16%

The non drinkers are 0.16% and are not exposed to obesity

Thus,

The parameters to be calculated is stated below:

  • Non-drinkers who agree exposed to obesity
  • Drinkers who are exposed or vulnerable to obesity

(c) The next step is to determine and explain the results.

In this case we can say there is a positive relationship between drinkers and non drinkers, since from the experiment 0.65% are exposed to obesity and 0.16$ non drinkers are exposed to obesity.

8 0
3 years ago
Simplify the expression sqrt21*(sqrt3+sqrt14)
arlik [135]

√21*(√3+√14)=

=√(21*3)+ √(21*14)

=√(7*3²)+ √(3*7²*2)

=3√7+7√6

7 0
3 years ago
Read 2 more answers
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