Answer:
1) Point C 2) last set (-1.5,2) 3) The point will be in Quadrant IV
4) right triangle 5) (-4, -2.5)
The leftmost line segment has a domain of -4 ≤ x < -1, or [-4, 1).
The central line segment has a domain of -1 ≤ x ≤ 2, or [-1, 2].
The rightmost line segment has a domain of 2 < x ≤ 5, or (2, 5].
Overall, this function has a domain of
[-4, 1) U [-1, 2] U (2, 5]
(where U means "union" in the set-theoretic notion)
But this also simplifies to the interval [-4, 5].
These correspond to the <u>first</u> and <u>last</u> choices.
Let the cost of one book= x cents
Let the money john have= y cents
According to the question,
45x=y ...eq(1)
(45+5)(x-5)=y
50(x-5)=y
50x-250=y ...eq(2)
On subtracting (1) from (2).
(50x-250)-45x=y-y
5x-250=0
x=250/5
x=50
Thus, cost of each book is 50 cents and john has 2250 cents.
Hope it helps.
Don't feel shy in saying thx if it helps.
We have that
<span>Log3 a/3
</span>Rewrite log3(a/3) using the change of base <span>formula
we know that
</span>The change of base rule can be used if a and b are greater than 0 and not equal to 1, and x is greater than 0<span>.
</span>so
loga(x)=<span>logb(x)/<span>logb<span>(a)
</span></span></span>Substitute in values for the variables in the change of base <span>formula
</span>
in this problem
b=10
a=3
x=a/3
log3(a/3)=[log (a/3)]/[log (3)]
the answer is
[log (a/3)]/[log (3)]
Raising a whole number to a power means:
Take (a number of things) a number of times, and then possibly
take that big number of things a number of times again.
Raising a fraction to an exponent means:
Take a piece of (a piece of one thing), and then possibly
take just a piece of that smaller piece.