Answer:
24 Domain: s>=2 or s<=-2
25. 3x^2 +14x +10
26. x^2 -2x+5
Step-by-step explanation:
24. Domain is the input or s values
square roots must be greater than or equal to zero
s^2-4 >=0
Add 4 to each side
s^2 >=4
Take the square root
s>=2 or s<=-2
25. f(g(x)) stick g(x) into f(u) every place you see a u
f(u) = 3u^2 +2u-6
g(x) = x+2
f(g(x) = 3(x+2)^2 +2(x+2) -6
Foil the squared term
= 3(x^2 +4x+4) +2x+4-6
Distribute
= 3x^2 +12x+12 +2x+4-6
Combine like terms
=3x^2 +14x +10
26 f(g(x)) stick g(x) into f(u) every place you see a u
f(u) = u^2+4
g(x) = x-1
f(g(x) = (x-1)^2 +4
Foil the squared term
= (x^2 -2x+1) +4
= x^2 -2x+5
The average building height and the standard deviation for two separate cities' samples are shown. The true statements are:
City A’s heights are more spread out than city B’s heights.
City A has a lower average height than city B.
<h3>
What is average?</h3>
In daily life, an average is a number chosen to represent a group of numbers; it is often the sum of the numbers divided by the total number of numbers in the group (the arithmetic mean). The average of the integers 2, 3, 4, 7, and 9, for instance, is 5, which equals 25. An average could alternatively be another statistic like the median or mode, depending on the situation. The median is sometimes used in place of the mean since the mean would be unnaturally high if it included the personal incomes of a few billionaires. The median is the amount below which 50% of personal incomes fall and above which 50% of personal incomes rise.
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The value of angle x is 113 degrees and y is 67 degrees.
What is angle?
In euclidean geometry, an angle is that the figure shaped by 2 rays, referred to as the perimeters of the angle, sharing a typical end point, referred to as the vertex of the angle. Angles shaped by 2 rays exist the plane that contains the rays.
Main body:
Given ;
∠C = 62°
∠A =51°
according to triangle sum property: Sum of angles of triangle is 180°
Using it,
62° +51° +∠y = 180°
113°+ ∠y =180°
∠y = 67°
∠x is equal to the sum of interior opposite angle ,so using it we get:
∠x = 61°+52°
∠x = 113°
Hence the value of ∠x is 113 degrees and y is 67 degrees.
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Its gonna be a dollar mate
