Answer:
Step-by-step explanation:
To find the equation of a line using slope and a point, first use the slope to create the basic line using the slope and work from there.
For instance, the base equation here is
This line passes through the point (0, 0).
You can then plug in a value for x. In this case, use the value of 3, as it corresponds with your question.
A point on the line of y = 2x would thus be (3, 6).
To make the y-value equal -3, you must then subtract from the original equation. There are 9 units between 6 and -3, so you must subtract nine units in the equation. You should get this at the end:
Answer:
Step-by-step explanation:
The standard charge includes an initial fee and plus an addditional fee for each mile driven and is given by:
The insurance charge is given by:
So, the total charge C will be the sum of the standard charge S and the insurance charge I:
Substitute:
Rearrange:
Add:
And we have acauired our equation relating C to M!
Answer:
9.2 ounce bottle cost $6.12 is better buy with unit price of $0.22
Step-by-step explanation:
Unit price of any product is given by
unit price = weight of product/ price of product
Given sizes
A
13.5 ounces bottle cost $2.98
cost of 1 ounce of shampoo for this size = cost price/weight of shampoo
cost of 1 ounce of shampoo for this size =2.98/13.5 = $0.22
Unit price for this size is $.022
B
9.2 ounce bottle cost $6.12
cost of 1 ounce of shampoo for this size = cost price/weight of shampoo
cost of 1 ounce of shampoo for this size =6.12/9.2 = 0.66
Unit price for this size is $0.66
As $0.22 is less than $0.66 thus,
9.2 ounce bottle cost $6.12 is better buy.
Answer:
-sinx
Step-by-step explanation:
a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1
with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x
so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx
it is also important to know that cscx is the same thing as 1/sinx
knowing this information, cscx can be replaced with 1/sinx
(cos^2x)/(sinx - 1/sinx)
now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....
cos^2x
---------------------
(sin^2x - 1)/sinx
notice how in the denominator it has sin^2x-1 which is equal to -cos^2x
so now it becomes:
cos^2x
--------------
-cos^2x/sinx
because we have a fraction over a fraction, we need to flip it
cos^2x sinx
---------- * ----------------
1 - cos^2x
because the cos^2x can cancel out, it becomes 1
now the answer is -sinx
