Answer:
9
Step-by-step explanation: replace x with 3 then do 6+ 3
Answer: 0.6kg of flour will be in each batch of scones.
Step-by-step explanation:
Adam has 16.45 kg of flour, and he used 6.4kg to make hot cross buns. This means that the remaining flour would be the total amount of flour that he had initially minus the the amount that he used to make hot cross buns. This is expressed as
16.5 - 6.4 = 10.05 kg
The remaining flour is exactly enough to make 15 batches of scones. This means that 10.05 kg of flour will be enough to make 15 batches of scones.
We want to determine how much flour, in kg, will be in each batch of scones. Let this amount of flour be xkg
If 10.05 kg of flour will be used to make 15 batches of scones. Then,
xkg of flour will be used to make 1 batch if stones
x = 10.05/15
x = 0.67
[This question is such you will not understand a thing without your involvement as well. So follow my step and check by yourself]
First plot both functions on graph (this you gotta do yourself and check because only then you will learn)
How you plot the function?
f(x)=-3x³+5x-5
Put y=f(x)
y=-3x³+5x-5➡eqn(1)
So note the corresponding values of y on putting different values of x in that function.
I'll show u:
When x=0,y=-5 [calculate yourself it's easy just put x=0 and find value of y in eqn(1)]
Similarly,
x=1,y=-3
x=2,y=-19
[Similarly put x=-1,-2..and find corresponding y]
So you got points (0,-5),(1,-3),(2,-19)...plot these points and you have successfully plotted f(x).
Same process for plotting function g(x)....at least 6 points must be plotted.
❇After plotting f(x) and g(x):
1)check by yourself if they have same y-intercept (which is the distance between origin and the point of intersection of y-axis and the curve/line)
2) To check if they have same behavior or not,
increase the value of x[ie,1,2,3...] and note the corresponding value of y in function f(x) . Then decrease value of x[ie,-1,-2,-3..] and note corresponding value of y [note that y means function or f(x)]
Suppose f(x) has following end behavior:
When x increases f(x) tends to decrease
and when x decreases f(x) tends to increase
Now find end behavior of g(x) also..and if above end behavior matches with g(x), they will have same end behavior.
3) check by yourself by looking in plotted graphs of f(x) and g(x) whether they have at least one x-intercept or not.
4)g(x) is even function but f(x) is odd function.
So, g(x) is symmetrical over y-axis but f(x) is not.
5) Actually most of the algebraic polynomial functions don't show periodicity(but trigonometric and exponential function do). You can check by yourself by looking in plotted graph. If graph seems to be repeating same behavior it is periodic otherwise not. I am sure the given functions are not periodic. {Plz google periodic function if you want to know more}
Answer:
The number of calories in 5.5 cups are <u>495</u>.
Step-by-step explanation:
Given:
You buy milk that contains 180 calories per 2 cups.
Now, to find the number of calories in 5.5 cups.
Let the number of calories in 5.5 cups be 
As, in 2 cups there are 180 calories.
2 cups is equivalent to 180 calories.
Thus, the ratio would be 
So, in 5.5 cups there are 
calories.
5.5 cups is equivalent to calories.
Thus, the ratio would be 
Now, we set proportion to get the number of calories in 5.5 cups:
<em>By cross multiplying we get:</em>
<em>Dividing both sides by 2 we get:</em>
.
Therefore, the number of calories in 5.5 cups are 495.
