The correct product should have been:
<span>(–4x + 9)2 = </span>(-4x)2 + 2(-4x)(9) + 9^2 = 16x6 - 72x +81
The result is a trinomial and not a binomial nor a difference of two squares.
So, the answer is:
C = Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
The <em><u>correct answer</u></em> is:
$43.20
Explanation:
The formula we have is
c = p(1+r), where c is the total cost, p is the price of the item before tax, and r is the tax rate written as a decimal. This formula comes from the fact that adding a percent tax to the cost of an item takes 100% of the price and adds r% to it; this is why we multiply the price by (1+r).
Since our tax rate is 8%, r = 8% = 8/100 = 0.08. The price of the item is $40. Using this information, we have:
c = 40(1.08) = $43.20
Answer:
Step-by-step explanation:
We have been given that human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5.
To find Sally's temperature we will use z-score formula.
, where 
= Mean, 
= Standard deviation.
Let us substitute our given values in z-score formula.
Multiply 0.62 to both sides of equation.
Add 98.20 to both sides of equation.
Therefore, Sally's temperature will be 97.27 degrees Fahrenheit.
X= increased amount
L= length
W= width
The area formula is Area= L * W. Since length and width are increased, we need to increase each before adding them to the formula.
L= 12 + x
W= 14 + x
L * W= Area
(12 + x) (14 + x)= 288
multiply each parentheses
(12*14) + (12*x) + (x*14) + (x*x) = 288
168 + 12x + 14x + x^2= 288
x^2 + 26x + 168= 288
subtract 288 from both sides
x^2 + 26x - 120= 0
factor with two numbers that add to 26 and multiply to -120
(x - 4) (x + 30)= 0
set each number equal to zero
x - 4= 0
x= 4
x + 30= 0
x= -30
ANSWER: Length and width are both increased by 4 feet. -30 cannot be a solution because it is negative and we know the answer has to be a positive number.
Hope this helps! :)
