Answer:
See the explanation
Step-by-step explanation:
Given function

We need to find
value corresponding to each
value.
So, plug each
value in equation we get,

Now in next part of question it ask us to check each ordered pair.
Let us plug each
value and
value in the function 

we can see ordered pair
true for function 
Option D:
is the equation of line in point - slope form
Explanation:
Given that the slope is
and the point 
We need to determine the equation of the line in point - slope form.
The point - slope form can be determined using the formula,

Let us substitute the point
and the slope
in the above formula.
Thus, we have,

Simplifying the terms, we get,

Thus, the equation of the line in point - slope form is 
Therefore, Option D is the correct answer.
Answer:
{ - 1, 1, 7, 23 }
Step-by-step explanation:
To find the range substitute the values from the domain into g(x)
g(-2) = -2(- 2) + 3 = 4 + 3 = 7
g(- 10) = - 2(- 10) + 3 = 20 + 3 = 23
g(1) = - 2(1) + 3 = - 2 + 3 = 1
g(2) = - 2(2) + 3 = - 4 + 3 = - 1
Range is { - 1, 1, 7, 23 }
Using probability concepts, it is found that P(S and D) = 0.1275.
-----------------------
- A probability is the <u>number of desired outcomes divided by the number of desired outcomes</u>.
- In a standard deck, there are 52 cards.
- Of those, 13 are spades, and 13 are diamond.
- The probability of selecting a spade with the first card is 13/52. Then, there is a 13/51 probability of selecting a diamond with the second. The same is valid for diamond then space, which means that the probability is multiplied by 2. Thus, the desired probability is:

Thus, P(S and D) = 0.1275.
A similar problem is given at brainly.com/question/12873219
Step-by-step explanation:
25 as binary number is
11001
1×2⁴ + 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 16 + 8 + 1 = 25
25×2 = 50 = 11001 × 2 = 110010
multiplying a binary number by 2 is the save effect as multiplying a normal decimal number by 10 : all digits move one position to the left, and a 0 is put into the empty right position.
and so, we see
110P = 110010
P = 010
FYI : you normally don't mix binary and decimal numbers. if one of the numbers is binary, then all the others have to be binary too.
so, the problem should have looked like
110P/10 = 11001
110P = 11001×10 = 110010
P = 010