Answer:
He get £2.25 change
Step-by-step explanation:
1pack = £2.85
£45 ÷ £2.85 = 15.8 packs
≈ 15packs
£2.85 × 15 = £42.75
£45 - £42.75 = £2.25
Is the dollar signs supp to be there?
Answer: x = -2 and x = -1
Explanation:
The solution of an equality is the set of values of the unknown for which both members are equal. In this case, the values of x for which the two functions are equal.
The table shows three values of x for which the outputs of both f(x) and g(x) are equal. Those values of x are the solutions of the equality f(x) = g(x).
Such points are:
(-2,4) and (-1,2).
Realize that means that for x = -2 and x = -1, the values of both functions f(x) and g(x) are the same.
So, according to the table, x = -2, and x = -1 are solutions to f(x) = g(x)
Answer:
6 Dollars.
Step-by-step explanation:
A toolset sells for $150 at a local hardware store. The toolset is on sale for 20% off the retail price, p, given by f(p) = 0.80p. Devon is interested in buying the toolset and has a coupon for $30 off the price of the toolset, which can be represented by g(p) = p – 30.
Therefore, the cost of using the coupon followed by the discount,
f[g(p)] = 0.80(p - 30) = 0.80(150 - 30) = 96 dollars.
And the cost of using the discount followed by the application of the coupon,
g[f(p)] = 0.80p - 30 = 0.80 × 150 - 30 = 90 dollars.
Therefore, the difference between f[g(p)] and g[f(p)] is (96 - 90 ) = 6 dollars. (Answer)
Answer:
(6, -2)
Step-by-step explanation:
The midpoint of the segment RS is point M (5, 3). Therefore, the average of the x coordinates of R and S is 5, and the average of the y coordinates of R and S is 3. The x coordinate of R is 4. For 4 and the x coordinate of S to have an average of 5, the x coordinate of S must be 6. Therefore, our point is of the form (6, y). For 8 and the y coordinate of S to have an average of 3, the y coordinate of S must be -2. Therefore, our answer is (6, -2)
