1. Create a graph of the pH function. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph.
<span>The pH value is 1 at the orange dot, and is 1 at the red dot. </span>
<span>The transformation p(t+1) results in a y-intercept. </span>
<span>In this graph, the blue line is the original and first parent function p(t) = –log10 t. The pink line represent p(t) + 1, the transformation shifts up the y-axis by 1, but the p(t) + 1 transformation does not result in a y-intercept like the ones prior. The gold line represents p(t +1), which shifts horizontally by 1 to the left. This does result in a y-intercept, because the graph doesn't completely flip over the line to the other side, and the green line represents -1*p(t), which causes the graph to flip upside down, and doesn't end up as a y- intercept.</span>
First, find the LCD (least common denominator) of the two fractions.
List the multiples of each denominator and find the one that is common.
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40
40 is your LCD.
Second, what can you divide by to make the denominators of each fraction '40'? Whatever you do to the bottom you must do to the top.
Third, multiply.
Fourth, since the denominators are the same now, we can combine them.
Fifth, subtract '25 - 16' to get 9.
Since
is already in the simplest form, it is your answer.
Answer as fraction:
Answer as decimal:
Answer:
DIFFERENCE – The difference of two numbers is the result of subtracting these two numbers. PRODUCT – The product of two or more numbers is the result of multiplying these numbers. QUOTIENT – The quotient of two numbers is the result of the division of these numbers.
Step-by-step explanation:
Simplifying
5(7x + -3) = 230
Reorder the terms:
5(-3 + 7x) = 230
(-3 * 5 + 7x * 5) = 230
(-15 + 35x) = 230
Solving
-15 + 35x = 230
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 35x = 230 + 15
Combine like terms: -15 + 15 = 0
0 + 35x = 230 + 15
35x = 230 + 15
Combine like terms: 230 + 15 = 245
35x = 245
Divide each side by '35'.
x = 7
Simplifying
x = 7
