if the length is 8ft and the width is (7+x) then the area would be 56+8x, if x is unknown.
There are 3 terms : 7x , 4y, and 1.
a term is separated by any math symbol
examples are =, +, *
Answer:
the formula represent the correct way is π(4)^2 (5)
Step-by-step explanation:
The formula that represent the correct way to calculate is given below:
As we know that
Volume = πr^2 h
where
r denotes the radius i.e. 4 inches
And, h denotes the height i.e. 5 inches
Now placed these values to the above formula
So,
= π(4)^2 × 5
= 80π in^3
Hence, the formula represent the correct way is π(4)^2 (5)
Answer:
x⁴+3x³ -5x +1
Step-by-step explanation:
To multiply this we are going to <u>multiply each term of the binomial by each term of the polynomial.</u>
Now we are going to <u>combine like terms (this means we are going to sum up terms with the same exponent)</u>
Thus, the answer is x⁴+3x³ -5x +1
<span>a) Intervals of increase is where the derivative is positive
b) </span> <span>Intervals of decrease is where the derivative is negative. </span>
c) <span>Inflection points of the function are where the graph changes concavity that is the point where the second derivative is zero </span>
<span>d)
Concave up- Second derivative positive </span>
<span>Concave down- second derivative negative </span>
f(x) = 4x^4 − 32x^3 + 89x^2 − 95x + 31
<span>f '(x) = 16x^3 - 96x^2 + 178x - 95 </span>
<span>f "(x) = 48x^2 - 192x + 178 </span>
<span>By rational root theorem the f '(x) has one rational root and factors to: </span>
<span>f '(x) = (2x - 5)*(8x^2 - 28x + 19) </span>
<span>Using the quadratic formula to find it's two irrational real roots. </span>
<span>The f "(x) = 48x^2 - 192x + 178 only has irrational real roots, use quadratic formula which will be the inflection points as well.</span>
