a. Write and graph an equation in two variables that represents the total cost of ordering the shirts.
For this case, the first thing we must do is define variables:
c = total cost
x = x number of shirts.
The equation that adapts to the problem is:
c (x) = 10x + 20
Answer:
c (x) = 10x + 20
b. Choose an ordered pair that lies on your graph in part (a). Interpret it in the context of the problem.
Let's choose the next ordered pair:
(x, c (x)) = (0, 20)
We verify that it is in the graph:
c (20) = 10 (0) + 20
c (20) = 20 (yes, it belongs to the graph).
In the context of the problem, this point means that the cost per shipment is $ 20
Answer:
(0, 20)
Cost per shipment is $ 20
With any equation you are allowed to take the logarithm of both sides so
5^c=125 now take the logarithm base 5 to both sides giving.
log5(5^c)=log5(125), using the rule log(a^b)=a*log(b) you get
c log5(5)=log5(125), since log5(5)=1
c=log5(125)
Answer:
hi
Step-by-step explanation:
Answer:
188
Step-by-step explanation:
f(x)=4x² - 10+2
f(-7) = 4x² - 10 + 2
= 4(-7)² - 10 + 2
= 4 (49) - 10 + 2
= 196 - 10 + 2
= 188
Since the base is a regular quadrilateral, each of its 4 sides must have length
s = P/4
s = (60 cm)/4 = 15 cm
The area of one lateral face is the product of side length and height.
A = s×h
105 cm² = (15 cm)×h
Then the height of the prism is
h = (105 cm²)/(15 cm) = 7 cm
The area of the base is then
B = s²
B = (15 cm)² = 225 cm²
The volume of the prism is the product of its base area and height.
V = Bh
V = (225 cm²)×(7 cm) = 1575 cm³
The volume is 1575 cm³.