(5,60)(10,40)
slope = (40 - 60) / (10 - 5) = - 20/5 = -4
y = mx + b
slope(m) = -4
(5,60)...x = 5 and y = 60
now we sub and find b, the y int
60 = -4(5) + b
60 = -20 + b
60 + 20 = b
80 = b
equation is : y = -4x + 80
function form : f(x) = -4x + 80...where x = number of weeks and f(x) = loads of waste removed
Answer:
it would be 3 times 35 divded by 7 and that answer would give you 15 as the answer so 35 is your missing number
Step-by-step explanation:
Answer:
Step-by-step explanation:
prime factors of 20 = 2 * 2 * 5
Answer:
The expression for the total cost of the visit to dentist is T = 50 + 100n .
Step-by-step explanation:
As given
The price of a visit to the dentist is $50.
If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.
If the dentist n cavities .
Let us assume that the total cost of the visit to dentist be T.
Than the expression becomes
T = 50 + 100n
Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .
Answer:
Step-by-step explanation:
Component form of a vector is given by 
, where 
represents change in x-value and 
represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector 
, the magnitude is 
.
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being , one leg being , and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
To find the other leg, , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
Verify that 
Therefore, the component form of this vector is 
