Let 1 number equal x
<span>Let the other number equal 1/2x + 6
x + (1/2x + 6) =21
1 & 1/2 x + 6 =21
1 & 1/2 x =15
</span>
Answer:She will have to charge her customers at least 21 dollars an hour to help her family.
Step-by-step explanation:
<u><em>Answer: B. m=-23 and -23=m. *The answer should be the negative sign.*</em></u>
Step-by-step explanation:
addition property of equality is adding the same number to both sides of an equation does not change the equation.
a+c=b+c
add by 10 both sides of equation.
m-10+10=-33+10
simplify.
33-10=23
23+10=33
33-23=10
m=-23
It changes positive to negative.
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Answer:
sin (330)
csc (60)
cos (390)
Step-by-step explanation:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions
Answer:
8. (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)
9. f(g(x)) = 4x/(1+6x)
Step-by-step explanation:
8. For f(g(x)) to be defined, g(x) must be defined and f(g(x)) must be defined.
g(x) will be defined for all x≠0. f(g(x)) will be defined for g(x)≠4. Solving g(x)=4, we find the value of x is 1/3. (The answer choices give a clue.)
So, the domain of f(g(x)) is all x that is not 0 or 1/3. Only one answer choice makes those particular exclusions:
(-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)
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9. Substituting the definition of g(x) into the expression for f(x), we get ...
