Answer: y=-(1/8)x+(21/2)
Explanation:
The new equation’s slope needs to be perpendicular to y=8x-1
To get the new slope, we take the negative reciprocal of the slope from above
8 —> -1/8
Now we have y=-(1/8)x+b but it needs to pass through (4,10), so we need to find the value of b that makes this possible.
Since (4,10) is in the form of (x,y) we can plug in these values into the new equation to solve for b:
y=-(1/8)x+b
10=-(1/8)4+b
10=(-1/2)+b
b=(21/2)
Now put b back into the new equation
y=-(1/8)x+b
y=-(1/8)x+(21/2)
Answer:
c. (5, -2)
Step-by-step explanation:
as we can clearly see, the 4th vertex has to be on the positive side of x.
therefore, all answer options with negative x are out.
(2, -5) is almost at D (-1, 5). that cannot be right for a rectangle.
that leaves only c as right answer.
FYI - how to get this without predefined answer portions ?
the x- difference of B to A is 4 (from -5 to -1). the x-difference from D to C must be the same (4). 1 + 4 = 5.
so, x of D must be 5.
the y- difference of B to A is 3 (from 3 to 6). the y-difference from D to C must be the same (3). -5 + 3 = -2.
so, y of D must be -2.
A and D... i think but i would rather go with A and C
The domain and the range for the relations are given as follows:
- 13. Domain x ∈ R, range y ∈ R.
- 14. Domain {x ∈ Z| -4 ≤ x ≤ 4 and x is even} , range y ∈ {y ∈ Z| -1 ≤ y ≤ 4}.
- 15. Domain {x ∈ Z| -4 ≤ x ≤ 1} , range y ∈ {y ∈ Z| -4 ≤ y ≤ 1}.
- 16. Domain x ∈ R, range y ∈ R.
<h3>What are the domain and range of a function?</h3>
- The domain of a function is the set that contains all possible input values. Hence, in a graph, the domain is given by the values of x.
- The range of a function is the set that contains all possible output values. Hence, in a graph, the domain is given by the values of y.
For items 13 and 16, the functions are continuous, hence it is over the real numbers, and both the domain and range are all real values.
For items 14 and 15, the functions are discrete, hence it is over the integer numbers, and the domain is composed by the values assumed by x and the range is composed by the values assumed by y.
More can be learned about domain and range at brainly.com/question/10197594
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Answer:
The inverse function is g(x) =
Step-by-step explanation:
You can find the inverse of any function by switching the g(x) value (or whatever the function value is labelled) and the x value. Then solve for the new g(x) value. The result will be your inverse function.
g(x) = 15x - 10 ---> Switch the g(x) and x
x = 15g(x) - 10 ---> Add 10 to both sides
x + 10 = 15g(x) ----> Divide both sides by 15.
= g(x) ----> Switch the order
g(x) =
And that would be your inverse function.
