Answer:
x = 3 + √6 ; x = 3 - √6 ; ;
Step-by-step explanation:
Relation given in the question:
(x² − 6x +3)(2x² − 4x − 7) = 0
Now,
for the above relation to be true the following condition must be followed:
Either (x² − 6x +3) = 0 ............(1)
or
(2x² − 4x − 7) = 0 ..........(2)
now considering the equation (1)
(x² − 6x +3) = 0
the roots can be found out as:
for the equation ax² + bx + c = 0
thus,
the roots are
or
or
and, x =
or
and, x =
or
x = 3 + √6 and x = 3 - √6
similarly for (2x² − 4x − 7) = 0.
we have
the roots are
or
or
and, x =
or
and, x =
or
and, x =
or
and,
Hence, the possible roots are
x = 3 + √6 ; x = 3 - √6 ; ;
Answer:
A, C and D are continuous
Step-by-step explanation:
A is a set of any number x which 30 < x <=45
B is a set that contains only 3 and 7
C is a set of any number x which 60 <= x < 100
D is a set of any number x which -infinity < x < + infinity
E is a set that contains only even whole numbers
A continuous data set is a quantitative data set representing a scale of measurement that can consist of numbers other than whole number, like decimals and fractions.
Answer:
idc
Step-by-step explanation:
Based on the calculations, the interest rate on the stock in four (4) years is equal to 7.1%.
<u>Given the following data:</u>
Amount borrowed (Principal) = $22,000.
Simple interest, I = $78.40.
Time = 4 year.
To determine the interest rate on the stock in four (4) years:
<h3>How to calculate simple interest?</h3>
Mathematically, simple interest can be calculated by using this formula:
I = PRT
<u>Where:</u>
- S.I is the simple interest.
- P is the principal or starting amount.
- T is the time measured in years.
Making R the subject of formula, we have:
R = I/PT
Substituting the given parameters into the formula, we have;
R = 6260/(22,000 × 4)
R = 6260/(88,000)
Interest rate = 0.071 = 7.1%.
Read more on simple interest here: brainly.com/question/24341207
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Answer:
313°
Step-by-step explanation:
The reference angle (α) can be found using the tangent relation:
Tan = Opposite/Adjacent
__
In this problem, that means ...
tan(α) = 78/83
α = arctan(78/83) ≈ 43° . . . . . . angle from -x axis
The bearing angle will be this value added to 270°, since bearing angles are measured clockwise from north.
bearing = 270° +43° = 313°