Answer:

where w is width of rectangle.
Step-by-step explanation:
We are given the following in the question:
The perimeter of a rectangle must be less than 170 feet.
Length of rectangle = 44 feet
Perimeter of rectangle =

Let w be the width of rectangle.
According to the question,

Thus, the width of triangle should be less than 41. Since w cannot take negative values, we can express value of w in interval notation as,

Answer:
The value of
which makes the equation true.
Step-by-step explanation:
Given the equation

We have to find the value of r for which the equation must be true.
solving the equation

Multiply both sides by -11


Therefore, the value of
which makes the equation true.
<u>VERIFICATION:</u>
Putting
in the equation


∵ 
L.H.S = R.H.S
Therefore, the value of
which makes the equation true.
Just general definitons:
a TRInomial has 3 terms (tri means three)
a BInomial has 2 terms (bi means two)
a MONOmial has 1 term (mono means one)
the degree is the highest exponent found in the algebraic expression
so they should be pretty easy to solve with that information, but just in case:
1. trinomial, degree of 4
2. binomial, degree of 3
3. monomial, degree of 2
for the final question, all you have to do is plug in 2 for x, so
(2)^2 - 2(2) + 1
4 - 4 + 1
so the answer is 1
Answer:
The temperature needs to decrease by 7°F to return to the original temperature.
Step-by-step explanation:
The temperature starts at 33 degrees then increases by 10 then 12 then decreases by 15 which will equal 40.
33 + 10 = 43
43 + 12 = 55
55 - 15 = 40
40 - 33 = 7
The temperature needs to decrease by 7 degrees.
See below for pics of the answers