Answer:
a> -32
Step-by-step explanation:
-40 < 2(a +12)
-40 < 2(a) +2(12) <em>(</em><em>expand</em><em>)</em>
-40 < 2a +24
-40 -24 < 2a <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>
-64 < 2a <em>(</em><em>simplify</em><em>)</em>
2a > -64
a > -64 ÷2
a > -32
We are given
f(x) = (x + 4)^(x - 2) + 2
g(x) = 8 (20)^x
j(x) is the given data
We are asked to arrange the functions according to increasing y-intercept. Simply substitute 0 to x and solve for the y-intercept. Doing this, the answer is
<span>C.) f(x), g(x),j(x),h(x)
</span>
Answer:
x = 16 and y = 121
Yes, its a long process.
Step-by-step explanation:
vertical angles are congruent given that: we do this
(4x-5)+(4x-5)+y+y=360
or
2(4x-5)+2y=360
divide both sides by 2
(4x-5)+y=180
distribute (there is an invisible 1 beside the parentheses of 4x-5)
4x-5+y=180
add 5 to both sides
4x+y = 185
subtract y from both sides
4x = 185-y
divide both sides by 4
x = (185-y)/4
note that (4x-5) is also EQUAL to (3x+11)
4x-5=3x+11
subtract 3x from both sides
x-5=11
add 5 to both sides
x = 16
Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360
Our equation was
x = (185-y)/4
16 = (185-y)/4
Multiply both sides by 4
64 = 185-y
Subtract 185 from both sides
-121=-y
multiply both sides by -1
121 = y
The amount of material needed for the containers is its surface area
The amount of material needed for the 8 containers using the assumed parameters is 3080 square feet
<h3>How to determine the amount of material?</h3>
The question is incomplete, as the figure of the right pentagonal prism is not given.
So, I will provide a general explanation.
The surface area (SA) of a right pentagonal prism is:
SA = 5b(a + h)
Where:
- b represents the base length
- a represents the apothem
- h represents the height
From the question, we have the height of the prism to be 8 ft.
Assume that:
a = 3 ft and b = 7 ft
The equation becomes
SA = 5 * 7 * (3 + 8)
Evaluate the product
SA = 385
The amount of material needed for the 8 containers would be:
Amount = 8 * 385 square feet
Amount = 3080 square feet
Hence, the amount of material needed for the 8 containers using the assumed parameters is 3080 square feet
Read more about area at:
brainly.com/question/24487155
Answer:
its 3m+7+7c+4n
Step-by-step explanation:
Its really easy
