Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
if in total Kasey has 8 packaged of gelatin and it takes 1 1/3 for each mold which equals 6 servings than you could work it out as
8 divided by 1 1/3=6.015 since its not a whole number than you'd want to go down to just 6 resulting in Kasey creating 6 molds
6 molds times 6 servings= 36 servings
Step-by-step explanation:
definition of the derivative to differentiate functions. This tutorial is well understood if used with the difference quotient .
The derivative f ' of function f is defined ascthe above pic.
when this limit exists. Hence, to find the derivative from its definition, we need to find the limit of the difference quotient.
Answer:
19.6 miles in 12 minutes.
Step-by-step explanation:
first take 60, then divide it by 12.
60÷12=5
then take 98 and divide that by 5
98÷5=19.6
Answer:
Option 4
Step-by-step explanation:
Given function is,

Steps to get the inverse of the given function,
Step 1,
Convert the function into equation,

Step 2,
Interchange the variables 'x' and 'y',

Step 3,
Solve the equation for the value of y,






Step 4,
Convert the equation into inverse function,

For x-intercepts,
Substitute y = 0,





Therefore, x-intercept of the inverse function is
.
Option 4 will be the answer.