Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20
Answer:
x=9
Step-by-step explanation:
Looking at the diagram, we see that four angles are formed by the intersection of two lines. The angles highlighted in blue and green are therefore, vertical angles. We know that vertical angles have equal angle measures meaning that in this case, the measure of the blue angle is equal to the measure of the green angle. Using this, we can now solve for x:
7x+49=2x+94
7x-2x=94-49
5x=45
x=45/5
x=9
Answer:
f = 65
Setup cost = 65
Step-by-step explanation:
Given the equation : 201.50=f+6.50(21)
Solving for f:
201.50 = f + 136.50
201.50 - 136.50 = f
f = 65
The equation above is written in the form a slope intercept function where,, 6.50 is the gradient and X equals the number of shirts, The total cost of printing is 201.50
f is the intercept and represents the initial fee or setup cost. Hence, the setup. Cost = 65
Answer:
A.) -7, -6, -3, -2, 0, 2, 6
B.) Jacob is correct, the larger the negative number, the lower the number is. So, since -11 is smaller than -7, it will be colder.
C.) Minneapolis is colder since -41 is way lower than -15.
-41<-15
Question: As their financial advisor, what part of Kyle and Linda's financial plan would you encourage them to work on and why?
ANSWER:
Their plan for protecting their assets.
They should have life insurance on Linda.
