Answer:
Number of quarters → 15
Number of dimes → 2
Step-by-step explanation:
Let the number of dimes I have = y
And number of quarters = x
Since, I have amount in my pocket = $2
Therefore, 0.10y + 0.25x = 2
100(0.10y + 0.25x) = 100×2
25x + 10y = 200
5x + 2y = 40
2y = -5x + 40
y = -2.5x + 20 ---------(1)
Total number of coins in my pocket = 17
x + y = 17
y = -x + 17 ---------(2)
By using a graphing calculator we can graph these two lines (As attached)
Solution of the given system of equations will be the point of intersection of these lines.
Solution → (2, 15)
Number of quarters → 15
Number of dimes → 2
Answer:
WHAT IS YOUR QUESTION
Step-by-step explanation:
Answer:
2q-18
Step-by-step explanation:
ANSWER
The rule is given by the relation,
EXPLANATION
We need to check and see if there is a constant difference between the y-values.
We can see that, there is a constant difference of 2.
This means that the table represents a linear relationship.
Let the rule be of the form,
Then the points in the table should satisfy the above rule.
So let us plug in
This implies that,
Our rule now becomes,
We again plug in another point say, (-1,-1) in to equation (1) to get,
we solve for m now to obtain,
We now substitute back in to equation (1) to get
Answer:
Step-by-step explanation:
We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).
Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.
The value of x can be calculated using:
Using this function in a calculator (you may find it as: 
), we have that:
So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:
So the values of x are:
