Answer:
(x) = x - 3
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = x + 3 (subtract 3 from both sides )
y - 3 = x
Change y back into terms of x with x = (x) , thus
(x) = x - 3
<h3>
<u>Explanation</u></h3>
- Solve the equation for s-term.
- Answer Check by substituting s = -10 in the equation.
<u>No</u><u> </u><u>Solutions</u>
When both sides of equation are different. For example, 3 = 4 which makes the equation false. That means the equation is false for all real numbers, thus having no solutions.
<u>One</u><u> </u><u>Solution</u>
A common type solution because you see this type of solution a lot. If you can solve the equation for a variable like x = 2 or s = 0. That's one solution.
<u>Infinitely</u><u> </u><u>Many</u><u> </u><u>Solutions</u>
When both sides are same like 3 = 3 or 7 = 7. That means the equation is true for all real numbers. You can see this type of solution by solving the equation with same both sides like 3x+2 = 3x+2.
<h3>
<u>Answer</u></h3>
- Because we can solve the equation for s-term. Therefore the answer is <u>one</u><u> </u><u>solution</u>
A) x * 7 = y
B) y + 7 +1 = 9x
A) x = y / 7
Substituting this into B)
B) y + 8 = 9(y/7)
Multiplying both sides by 7
B) 7y + 56 = 9y
2 y = 56
y = 28
x = 4
***************************************************
Double Check
4 * 7 = 28 + 7 = 35
9*x = 36
Given:
Composite figure made of cylinder and two spheres.
To find:
The volume of the composite solid.
Solution:
Radius = 2 in
The value of π = 3.14
<u>Volume of sphere:</u>
Volume of a sphere is 33.49 in³
Volume of two spheres = 2 × 33.49 = 66.98 in³
Radius of cylinder = 2 in
Height of cylinder = 8 - 2 - 2 = 4 in
<u>Volume of cylinder:</u>
V = 3.14 × 2² × 4
V = 50.24
Volume of cylinder = 50.24 in³
Volume of composite solid = Volume of two spheres + Volume of cylinder
= 66.98 in³ + 50.24 in³
= 117.2 in³
The volume of the composite solid is 117.2 in³.
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