Answer: X = 24
Step-by-step explanation:
Move all terms to the left:
(3x + 10) - (2x - 9) - 43 = 0
Get rid of all the parenthesis:
3x + 10 - 2x - 9 - 43 = 0
Add all the numbers and all variable:
x-24 = 0
Move all terms containing x to the left and all other terms to the right:
x = 24
The average rate of change of the function will be 63.
The average rate of change of the function is used to find the slope of the graphed function which can be calculated by the change in y value divided by the change in x value.
The average rate of change of function f(x) in the interval [a,b] can be calculated as avearge rate of change= (f(b)- f(a))/(b-a)
Here given function is g(x) = 7x³-4
which is defined in the interval [-3,3].
So using the defination of the average rate of change, The average rate of change= (g(3)-g(-3))/(3-(-3))
= {(7(3³)-4)-(7*(-3)³-4)}/(3-(-3))
= {(189-4)-(-189-4)}/(3+3)
= (185-(-193))/6
= (185+193)/6
= 378/6
= 63
Therefore the average rate of change of the function will be 63.
Learn more about the average rate of change function
here: brainly.com/question/10208814
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Answer:
Step-by-step explanation:
Both of these questions involve proportions. You can set up an equation using equivalent fractions. You want to express to ratio of cm to km in Part A. Given the scale factor 5 cm = 2 km, then we can let c = the number of cm that represent an actual distance of 5 km. The following equation can be formed:
5/2 = c/5
Both of these fractions are a ratio of cm to km. To solve, we can cross-multiply.
2c = 25
c = 12.5 cm
You can use a similar process for Part B.
I have the answer attached.
A common denominator is when the denominators (bottom number) of two fractions are the same. Fractions must have a common denominator to be added or subtracted.
A common multiple is when two numbers can be multiplying to the same number. Ex) A common multiple of 3 & 4 is 12
A common multiple of 6 & 2 is 18
You would need to know the common multiples of numbers in order to make fractions have a common denominator.
