Answer:
[0,50]
Step-by-step explanation:
The function takes from value the distance from the plane to the building, and returns the height of the plane at that point in feets. Assuming that the plane goes always down, it will always be up to the height of the building. Note that the horizontal distance the plane travels at any point is equivalent to the distance of the plane with the building at that point, because the building is perpendicular to the ground. So, at the end of the travel the plane will be 50 feets away from the building. SInce it starts at 0 distance, then the domain of the function is [0,50]
By solving a linear equation, we conclude that you bought 4 buns and 5 cakes.
<h3>
How many of each did I buy?</h3>
We will define the two variables:
- x = number of buns bought.
- y = number of cakes bought.
We know that you spent exactly £4.35, then we only need to solve the linear equation:
x*0.40 + y*0.55 = 4.35
We need to solve that equation for x and y, such that the values of x and y can only be positive whole numbers.
We can rewrite the equation as:
y*0.55 = 4.35 - x*0.40
y = (4.35 - x*0.40)/0.55
Now we only need to evaluate it in different values of x, and see for which value of x, the outcome y is also a whole number.
We will see that for x = 4, we have:
y = (4.35 - 4*0.40)/0.55 = 5
So you bought 4 buns and 5 cakes.
If you want to learn more about linear equations:
brainly.com/question/1884491
#SPJ1
Answer:
reflection, then rotation, then translation
Step-by-step explanation:
Read the problem statement. It tells you the sequence:
Triangle A B C is <em>reflected</em> across B C to form triangle A prime B C. Triangle A prime B C is <em>then rotated</em> about point A to form A prime B prime C prime. Triangle A prime B prime C prime is <em>then shifted to the right</em> to form A double-prime B double-prime C double-prime.
The transformations are ...
reflection, then rotation, then translation
We are given two relations
(a)
Relation (R)
![R=[((k-8.3+2.4k),-5),(-\frac{3}{4}k,4)]](https://tex.z-dn.net/?f=R%3D%5B%28%28k-8.3%2B2.4k%29%2C-5%29%2C%28-%5Cfrac%7B3%7D%7B4%7Dk%2C4%29%5D)
We know that
any relation can not be function when their inputs are same
so, we can set both x-values equal
and then we can solve for k
............Answer
(b)
S = {(2−|k+1| , 4), (−6, 7)}
We know that
any relation can not be function when their inputs are same
so, we can set both x-values equal
and then we can solve for k
Since, this is absolute function
so, we can break it into two parts
we get
so,
...............Answer
Steps to solve:
k + 10 = 27
~Subtract 10 to both sides
k = 17
Best of Luck!
