Help please please please:((((
1 answer:
There are no numbers on the graph, so we cannot tell for sure the value of f(3).
If the grid squares are each one unit, then the graph of f(x) appears to go through the grid point (3, -1). This means f(3) = -1.
Using this value in the expression for g(x), we have
.. g(3) = -4*f(3) +7
.. g(3) = -4*(-1) +7
.. = 4 +7
.. = 11
The value of g(3) is 11.
If the grid squares are each one unit, then the graph of f(x) appears to go through the grid point (3, -1). This means f(3) = -1.
Using this value in the expression for g(x), we have
.. g(3) = -4*f(3) +7
.. g(3) = -4*(-1) +7
.. = 4 +7
.. = 11
The value of g(3) is 11.
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Answer:
The width of the base of the house is 25 feet
The length of the base of the house is 35 feet
Step-by-step explanation:
Displayed in the attachment is the plot of land drawn out in WXYZ(not to scale)
With the southwest corner coordinate (0,0) as the reference point
Plotted out is the base of the house built on it with coordinates (20,20),(5,40),(33,61),(48,41)
With A and B labelled width and length respectively
Length between coordinates is given as
Length=√(〖(x2-x1)〗^2+(〖y2-y1)〗^2 )
To find the width A,the points with coordinates (20,20) and (5,40) are used or (33,61) and (48,41)
Using point with coordinates (20,20) and (5,40)
Width, A=√(〖(5-20)〗^2+(〖40-20)〗^2 )=35
with x1=20, y1=20, x2=5, y2=40
Also try using points with coordinates (33,61) and (48,41).You will get same answer(opposite sides of a rectangle are equal)
To find the length B,the points with coordinates (48,41) and (20,20) are used or (5,40) and (33,61)
Using point with coordinates (48,41) and (20,20)
Length,B=√(〖(48-20)〗^2+(〖41-20)〗^2 )=25
with x1=20, y1=20, x2=48, y2=41
Also try using points with coordinates (5,40) and (33,61).You will get same answer(opposite sides of a rectangle are equal)
Answer:
(a)
(b) 10
(c)
(d) 0
(e) 1024
Step-by-step explanation:
(a)
A = {x ∈ Z | 0 < x, x² ≤ 100}
We need to find all the elements of given set.
The given conditions are
... (1)
Taking square root on both sides.
.... (2)
Using (1) and (2) we get
Since x ∈ Z,
(b)
We need to find the value of | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.
| {x ∈ Z | 0 < x, x² ≤ 100}| = 10
(c)
B = {x ∈ Z | x > 10, x² ≤ 100}
We need to find all the elements of given set.
The given conditions are
... (3)
It means
.... (4)
Inequality (3) and (4) have no common solution, so B is null set or empty set.
(d)
We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.
|{x ∈ Z | x > 10, x² ≤ 100}| = 0
(e)
We need to find the value of | P(A) |. P(A) is the power set of set A.
Number of elements of a power set is
where, n is the number of elements of set A.
We know that the number of elements of set is 10. So the value of |P(A)| is
Therefore |P(A)|=1024.