The answer is 6. this is because when you find the range, it's the difference between the highest and the lowest value in the set
Step-by-step explanation:
y+x(x-y)-5
substitute: -7+3(3+7)-5
-7+3(10)-5
-7+30-5
22
If this isn't correct, then use distributive property on 3(3+7)
If so then it would be -7+9+21-5
It would be the same answer, just a different way of finishing it
Combine the terms by multiplying into a single fraction.
Find the common denominator.
Combine fractions with the lowest common denominator.
Multiply the numbers.
Combine the multiplied terms into a single fraction
Find the common denominator.
Combine fractions with the lowest common denominator.
Multiply the numbers.
Eliminate the denominators of the fractions.
Cancel the multiplied terms that are in the denominator.
To distribute.
Add 28 to both sides.
Simplify
Subtract 3x from both sides.
Simplify
Divide both sides by the same factor.
Simplify
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<h3>Verification</h3>
Let x=12.
Checked ✅
An equation to match is 9+(3.5 x 2)=16
aka 9+7=16
An equivalent equation is 4+12=16, if that's what you mean.
X would be 2, if that's what you're asking for.
Sorry if this isn't what you were looking for.
Ans(a):
Given function is
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(e):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
4x-3x=-1-16
x=-17
Hence final answer is x=-17