Answer:
3
Step-by-step explanation:
To evaluate the expression 20 - {3 × 8 - 5 - (3 - 25 ÷ 5)}, follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right):
Inside the innermost parentheses, we have:
3 - 25 ÷ 5
= 3 - 5
= -2
Now, the expression becomes:
20 - {3 × 8 - 5 - (-2)}
Next, perform the multiplication and subtraction inside the innermost braces:
3 × 8 = 24
5 - (-2) = 5 + 2 = 7
The expression becomes:
20 - {24 - 7}
Continue inside the braces:
24 - 7 = 17
Now, the expression becomes:
20 - 17
Finally, subtract:
20 - 17 = 3
So, the value of the expression is 3.
Following the steps of the BODMAS rule, the expression simplifies to -1.
The question involves arithmetic operations such as subtraction, multiplication, and division. The correct order of these operations is dictated by the BODMAS rule, which stands for Brackets, Orders (powers and square roots, etc.), Division and Multiplication (left-to-right), Addition and Subtraction (left-to-right).
According to this rule, begin by calculating within the deepest set of brackets: 25 ÷ 5 = 5. Your expression now becomes: 20 - {3 × 8 - 5 - (3 - 5)}, which simplifies to 20 - {3 × 8 - 5 - -2}. The next step is to calculate the multiplication: 24 - 5 - -2, which further simplifies to 20 - {24 - 5 + 2}, which becomes 20 - {21}, leading to a final result of -1.
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Answer: (2u + 7)^2
Step-by-step explanation:
Which of these functions has the greater rate of change?
A) Function 1, because the slope is 5 and the slope of function 2 is 4.
B) Function 1, because the slope is 4 and the slope of function 2 is 2.
C) Function 2, because the slope is 7 and the slope of function 1 is 5.
D) Function 2, because the slope is 5 and the slope of function 1 is 4.
Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
Answer:
Answer is b
Step-by-step explanation:
Answer:
4x
Step-by-step explanation:
As show in the photo, x+87 is equivalent to 4x.
-2/3x=-468/17