Answer:
x=4 and y=−2
Step-by-step explanation:
y=−3x+10;y=−2x+6
Step: Solve y=−3x+10for y:
Step: Substitute−3x+10foryiny=−2x+6:
y=−2x+6
−3x+10=−2x+6
−3x+10+2x=−2x+6+2x(Add 2x to both sides)
−x+10=6
−x+10+−10=6+−10(Add -10 to both sides)
−x=−4
-x/-1 = -4/-1 (Divide both sides by -1)
x=4
Step: Substitute4forxiny=−3x+10:
y=−3x+10
y=(−3)(4)+10
y=−2(Simplify both sides of the equation)
Answer:
The volume of the sphere is
.
Step-by-step explanation:
The diameter of a sphere is 0.926 inch. It is required to find the volume of the sphere. The formula used to find the volume of sphere is given by :

Since, r is radius, r = d/2 = 0.463 inch
So,

So, the volume of the sphere is
.
ANSWER
The solution is 
EXPLANATION
We want to solve the simultaneous equations

and
.
We substitute equation (2) in to equation (1), to obtain

This has now become a linear equation in a single variable
.
We solve for x by grouping like terms.


We divide through by negative 3 to get;
.
Hence, the solution is 
The given function has no undefined points nor domain constraint. Thus, the domain is:
.
<h3>Domain and Range</h3>
The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined. An example, there is a restriction for the domain of fractions. The variable x in the denominator should be different of zero.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
In this question, the function
has no undefined points nor domain constraint. Therefore, the domain is: 
Learn more about the domain here:
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