Answer: fourth option
Explanation:1) the pair x = 3 f(x) = 0, leads you to probe this:
f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0
=> A [4^2] = - C
A[16] = - C
if A = 1/4
16 / 4 = 4 => C = - 4
That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4
2) Now you verify the images for that function for all the x-values of the table:
x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check
x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check
x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.
Therefore, you have proved that the answer is the fourth option.
The standard form: Ax + By = C
3x - y = -6 YES - A = 3, B = -1, C = -6
3x + y = 6 YES - A = 3, B = 1, C = 6
x + 6y = 9 YES - A = 1, B = 6, C = 9
x - 6y = -9 YES - A = 1, B = -6, C = -9
The sketch answers to question 8, 9 and 10 is given in the image attached.
<h3>What is an intersecting lines?</h3>
A link is known to be intersecting if two or more lines are said to have cross one another in a given plane.
Note that the intersecting lines are known to be one that often share a common point, and it is one that can be seen on all the intersecting lines, and it is known to be the point of intersection.
Looking at the image attached, you can see how plane A and line c intersecting at all points on line c and also GM and GH and line CD and plane X as they are not intersecting
Therefore, The sketch answers to question 8, 9 and 10 is given in the image attached.
Learn more about intersecting lines from
brainly.com/question/2065148
#SPJ1
Answer:
Mean: 11.2
Median: 11
Mode: There is none
Step-by-step explanation:
mean -you add all the numbers and divide by the number of numbers
median- you arrange the data set by numerical value (increasing) and it is basically the "middle number" for example 1, 2, 3, (2 would be the "middle" number" )
mode- is the number that appears most often. in this scenario, all numbers appear the same amount of times (1) so there is no mode.
Answer:
95% picked pizza
Step-by-step explanation:
We can get this answer by following a few different steps. Firstly, we need the total amount of students. We get this number by adding the amount of students who wanted pizza (19 students) and the amount of students who wanted burgers (1 student). When we add those we get the total number of students, which is 20. Now, we can set up a fraction to see what amount of students out of the total number of students wanted pizza.
This would be 19/20
Now, you plug this in your calculator and will get 0.95
To turn this, or any other decimal, into a percentage you multiply by 100%.
So, multiply 0.95 x 100% = 95%
Hope this helps :)
