Step-by-step explanation:
log(x+2)-log(x-1)=log2
log(x+2)/(x-1)=log2
=> (x+2)=2(x-1)
=>x+2 =2x-2
=> x=4
Answer:
Step-by-step explanation:
x=11
<h3>
Answer: orthogonal </h3>
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Explanation:
For any two vectors defined as follows
u = <a,b>
v = <c,d>
the dot product is computed by
u dot v = a*c + b*d
If the dot product of the vectors is 0, then the vectors are orthogonal. Meaning they are perpendicular to one another.
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Let's find the dot product of these two given vectors
u = < 2, -4 >
v = < 6, 3 >
u dot v = 2*6 + (-4)*3
u dot v = 12 - 12
u dot v = 0
Therefore, these two vectors form a right angle and are <u>orthogonal</u>
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Extra info:
If we can show that u = <a, b> and v = <ka, kb> for some real number k, then we have shown that vectors u and v are parallel.
Answer:
N(h) = 2h + 6
Step-by-step explanation:
A model of the number of people that Denis can invite to his party:
N(x) = x/25.............(1)
Where x = amount of money saved
Amount of money saved can be modeled by the equation:
M(h) = 50h + 150...........(2)
In the above model, h = number of overtime hours
M(h) = amount of money saved = x
Therefore equation (1) can be re - written as:
N(x) = M(h)/25.................................(3)
Substituting equation (2) into equation (3)

Find an explicit expression that models the number of people that Denis can invite to his party if he worked h overtime hours this week can be expressed as:
N(h) = 2h + 6