F(x)=-9/x which is equal to:
f(x)=-9x^(-1) So the power rule for differentiation is used...
Power rule: f(x)=x^e, df/dx=ex^(e-1) so:
df/dx=-9(-1)x^(-1-1)
df/dx=9x^(-2) or if you prefer...
df/dx=9/x^2
df/dx(6)=9/36=1/4
Answer:
7.5
Step-by-step explanation:
draw the triangles separately then write a fraction for the small one x/6 and 10/8 then to get rid of the 6 to get x by itself you multiply by 6 to get X and for the other side you do 10/8 then multiply 1.25 times 6 to get 7.5
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As you know, 4.78 is less than 5, so
.. yes, x=4.78 is a solution to x < 5
As you know, 6 = 6, but is not less than 6.
.. no, x=6 is not a solution to x < 6.
We need to find the expression for " number_of_prizes is divisible number_of_participants". Also there should not remain any remainder left. On in order words, we can say the reaminder we get after division is 0.
Let us assume number of Prizes are = p and
Number of participants = n.
If we divide number of Prizes by number of participants and there will be not remainder then there would be some quotient remaining and that quotent would be a whole number.
Let us assume that quotent is taken by q.
So, we can setup an expression now.
Let us rephrase the statement .
" Number of Prizes ÷ Number of participants = quotient".
p ÷ n = q.
In fraction form we can write
p/n =q ; n ≠ 0.
Answer:
Step-by-step explanation:
We are given a graph and asked to find the slope.
So we can see two coordinate points, one on (0, 3) and (2, 0).
When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.
So count how many times it'll take for x to get to y, base it off the picture below
Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.
Would this be negative though? No, since the graph is in an increase, not a decrease.
