Answer:
y=-x+2
Step-by-step explanation:
The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
From the graph, we can see that the y-intercept is at (0,2) so the equation becomes y=mx+2.
Other points on the graph include (1,1) and (2,0). Plugging (1,1) into the slope-intercept equation, we get 1=(m)1+2. Solving this will give us m=-1.
We can confirm this by plugging m=-1 into the equation along with the point (2,0); 0=(-1*2)+2. It checks out!
So our final equation in slope-intercept form will be y=-x+2
Step-by-step explanation:
hopefully it makes sense and is visible
:)
This question uses the concept of the division.
Vivi, the band drummer, burns 765 calories in 3 hours. And she burns these calories at the same rate. Which means she burns the same amount of calories per hour.
Thus, the set up equation for this question will be:
Energy burnt in 3 hours=756 calories
Therefore, Energy burnt in 1 hour =
Calories.
Thus, the required answer is that Vivi burns 252 Calories of energy per hour while drumming.
Answer:
They can make 10 different groups of three.
Step-by-step explanation:
The order in which the people are in the car is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

How many different groups of three can the five of them make?
Combinations of 3 from a set of 5. So

They can make 10 different groups of three.
Answer:
9x^2(5y^2 + 2x).
Step-by-step explanation:
First find the Greatest Common Factor of the 2 terms.
GCF of 18 and 45 = 9
GCF of x^2 and x^3 = x^2.
The complete GCF is therefore 9x^2.
So, dividing each term by the GCF, we obtain:
9x^2(5y^2 + 2x).