PLEASE HELP IF YOUR GOOD AT ALGEBRA
1 answer:
9514 1404 393
Answer:
lower left
Step-by-step explanation:
We notice that the answer choices have only the first equation changed. The equivalent of the first equation must have the same ratios of coefficients.
x-coefficient : y-coefficient : constant
= 2 : 1 : -15 . . . . . in the given equation
2 : -2 : 30 = 1 : -1 : 15 . . . upper left — not the same
-4 : -2 : -15 = 4 : 2 : 15 . . . upper right — not the same
-4 : -2 : 30 = 2 : 1 : -15 . . . lower left — same as the given equation
-4 : 1 : 30 = 4 : -1 : -30 . . . lower right — not the same
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Lenny's net proceeds algebraically are found as;
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Let the bought share will be $ x, and $y is the price per share
Paid fees to the broker = $ 20
The total amount spent = $(xy+20)
The price at which each share sells = $ A
Broker commission = 2 %
The total amount obtained after selling the shares;
⇒ ax - 2% of ax
⇒ 98 % of ax
Hence, Lenny's net proceeds algebraically are found as;
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Answer:
f(x) = 3 cos2(x) − 6 sin(x), 0 ≤ x ≤ 2π
We plot the function using a graphing calculator (See attached image below)
a) 1. Find the interval on which f is increasing.
f(x) increases for
x ∈ [π/2 , 7π/6] ∪ [3π/2, 11π/6]
2. Find the interval on which f is decreasing
f(x) decreases for
x ∈ [0 , π/2) ∪ (7π/6, 3π/2) ∪ (11π/6, 2π]
(b) Find the local minimum and maximum values of f
Local minimum. f = -9
Local maximum. f = 4.5
(c) 1. Find the inflection points
Please see second image attached
Points,
(x,y) = (2.50673, -2.66882)
(x,y) = (4.14456, 3.79382)
(x,y) = (5.28022, 3.79382)
2. Find the interval on which f is concave up.
x ∈ [0 , 2.50673] ∪ [4.14456, 5.28022]
3. Find the interval on which f is concave down.
x ∈ (2.50673, 4.14456) ∪ (5.28022, 2π]
