Ok I’ll break this down so it’s easier to understand:
So you start of with $80
The first step is to find 20% off
An easy way to find 20% is to divide it by 5.
80/5= 16
And since it’s 20% OFF we subtract 16 from 80
80-16= 64
Next we need to do the coupon
It is $5 off so
64-5= 59
And finally the rebate which is $2
59-2= 57
Answer:
57
Answer:
Step-by-step explanation:
f(x) = (2x^2 + 1)
( f(3 + h) - f(3) ) / h
f(3 + h) = 2(3 + h)^2 + 1)
f(3 + h) = 2(9 + 6h + h^2) + 1
f(3 + h) = 18 + 12h + 2h^2 + 1
f(3 + h) = 19 + 12h +2h^2
f(3) = 2*(3^2) + 1
f(3) = 2(9) + 1
f(3) = 19
f(3 + h) - f(3) = 2h + 2h^2 The 19s cancel out
f(3 + h) - f(3) = 2h(1 + h^2)
( f(3 + h) + f(3) ) / h = 2h ( 1 + h^2) / h = 2 ( 1 + h^2)
Given the question "<span>Which algebraic expression is a polynomial with a degree of 2?" and the options:
1).
2).
3).
4).
A polynomial </span><span>is
an expression consisting of variables and
coefficients, that involves only the operations of addition,
subtraction, multiplication, and non-negative integer exponents of
variables.
</span><span>The degree of a polynomial is the highest exponent of the terms of the polynomial.
For option 1: </span><span>It contains no fractional or negative exponent, hence it is a polynomial. But the highest exponent of the terms is 3, hence it is not of degree 2.
For opton 2: It contains a fractional exponent which violates the definition of a polynomial, hence, it is not a polynomial.
i.e.
For option 3: </span><span>It contains a negative exponent which violates the definition of a polynomial, hence, it is not a polynomial.
i.e.
For option 4: It contains no fractional or negative exponent, hence it is a polynomial. Also, the highest exponent of the terms is 2, hence it is of degree 2.
</span>
Therefore, <span>
s a polynomial with a degree of 2. [option 4]</span>
To simplify √((2x)^2)√2y, we
must multiply the indices of both roots and the coefficients that within both roots. As we can see bellow, we get a root which has index 4:
=((2x)^(2y))^1/4
Finally, the factor (2x)^2 has an exponent which is divisible by the index of the root, so it can be simplified, as it's shown in the following step:
=
(2x)(2y)^1/4
Answer:
Height of the taller building is 63.5ft
Step-by-step explanation:
Kindly find attached rough sketch of the problem for your reference.
Let the small building be A and the taller building be B
From the sketch the two buildings form a right angle triangle
We can solve for x which is the height of the taller building relative to the small building using
SOH CAH TOA
Applying TOA we have
Tan θ= opposite/adjacent
Tan 42°= x/35
x= Tan 42*35
x= 0.9*35
x= 31.5ft
Hence the height of the taller building is = x+height of small building = 31.5+32= 63.5ft