Given problem;
Inequality equation;
< 6
Before we solve, let us first translate this problem.
It simply states that for what value(s) of x will the expression be less than 6.
To find this value, we can simply carry out the normal mathematical simplification.
Simply multiply both sides by 16 to reduce the fraction;
16 x () < 6 x 16
On the left hand side, 16 will cancel out;
x < 96
Any value for which x is less than 96 will make the solution of this problem less than 6.
For example, 95;
= 5.93
This value is less than 6
Answer:
The answer is - sample.
Step-by-step explanation:
Based on the set of 356 surveys that were completed and returned, the researcher finds that these students spend an average of 3.1 hours each day watching television.
For this study, the set of 356 students who returned the surveys is an example of a SAMPLE.
A sample is defined as a small part that shows what the whole population is like.
The required equation of the parabola is (y-5)² = 20(x+2)
<h3>Equation of a parabola</h3>
The standard equation of a parabola is expressed as;
(y-k)² = 4p(x-h)
where;
vertex = (h, k)
focus = (p+k, k)
directrix x = -p + h
Note that the directrix given will determine the type of the equation of a parabola
Given the following parameters
focus = (-2, 5) = (h, k)
x = -p + h
3 = p -2
p = 5
Substitute
(y-k)² = 4p(x-h)
(y-5)² = 4(5)(x-(-2))
(y-5)² = 20(x+2)
Hence the required equation of the parabola is (y-5)² = 20(x+2)
Learn more on equation of parabola here; brainly.com/question/4061870
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By the Pythagorean Theorem, the length of x is
a^2 + b^2 = c^2 Pythagorean Theorem
6^2 + b^2 = 10^2 Substitute known variables
6^2 + b^2 - 10^2 = 0 Subtract 10^2 from each side
6^2 - 10^2 = b^2 Subtract b^2 from each side
√6^2-10^2 = √b^2 Take square root of each side
8 = b Simplify
So, the length of x is 8. I hope this helps!
Answer:
Y=X+1
Step-by-step explanation:
