The answer to the first question of the attached document is option 1. We obtain the answer subtracting the term n from the series with the term n-1.For example:
-3 - (- 5) = 2
-1 - (- 3) = 2
1 - (- 1) = 2
So you can see that the common difference is the 2.
The answer to the second question is option 3:
y = | x + 7 |
We can confirm it by substituting values in the equation.
For example:
if we do y = 0 then x = -7
if we do x = 0 then y = 7.
As corresponds in the graph shown.
Remember also that as a general rule yes to the equationy = | x | whose vertex is in the point (0,0) we add a positive real number "a" of form y = | x + a | then the graph of y = | x | will move "to" units in the negative direction of x.
The answer to the third question is option 4.
The quotient of x and "and" is constant.
k = y / x
Rewriting:
y = kx
You can see that it corresponds to the equation of a line that passes through the origin, this means that and is proportional to x and both vary directly
Answer:
I think A is the answer
Step-by-step explanation:
Comment down if I am wrong but if I am right give me stars or a thank you or a thank you comment.
Answer:
27√39
Step-by-step explanation:
To calculate the geometric mean we need to first of all multiply 24 and 32 and take the square root of it (i.e. 24*32 is 768, √768 is 27.712.....). However, in this case, we need to represent the answer in a simplified surd. To do this we need to find the highest possible perfect square that is below 768. Here it is 27 because 27*27 equals 729. Now we can go ahead and subtract 768 by 729. We get 39. So now we got two different surds. √729 and √39. We can simplify the √729 to 27. Thus our answer is the combination of both 27*√39 or 27√39.
F(x) = 1, so we make the entire equation equal 1.
1 = sqrt(x) + 7
To make x by itself subtract 7 from both sides
-6 = sqrt(x)
Square both sides to remove sqrt from x.
36 = x
The value of x is 36
Answer: 7.5"
Step-by-step explanation:
First, take away the extra 5" on the longer side lengths
40-5-5=30
Then divide by 4 to get the width
30/4=7.5
This works because if you took the 7.5" and added back the 5 inches, it makes 12.5. Then add all 4 sides together, you get 40.
7.5+7.5+12.5+12.5=
