Answer:
22/3
Step-by-step explanation:
Make the whole number turn into a fraction, (21/3) and add the numerator (1/3), which the answer would be 22/3
<span>1) 3x-2=x+10
</span><span>Now, lets solve this step-by-step.
</span><span>
3x - 2 = x + 10
-x -x
</span><span>
</span><span>3x - x = 2x 2x - 2 = 10
</span><span>
</span><span>2x - 2 = 10
</span>2x - 2+2 = 10+2 The inverse operation helps isolate the variable.
<span>
2x = 12
2x/2 = 12/2
x = 12/2
x = 6</span><span>
Answer: x = 6
2) x + 4 = 19 - 2x </span>
We can solve this much faster
x + 4 = 19 - 2x
+2x
x+2x = 3x
3x + 4 = 19
-4 -4
19-4 = 15
3x= 15
3x/3 = 15/3
x= 5
Answer: x = 5
3) <span>8x - 20 = x + 15
Much faster now!!
8x - 20 = x + 15
-x
8x-x = 7x
7x - 20 = 15
+20 +20
15+20 = 35
7x = 35
7x/7 = 35/7
x = 35/7
x = 5
Answer: x= 5</span>
Answer:
The least amount is 75 dollars.
The biggest amount is 125 dollars
Step-by-step explanation:
The absolute value function will help us determine a range of possible values since we do not know the exact amount of money.
Defining the function.
Let x be the exact amount of money in my pocket, we can define the equation
And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation. So we can write:
We have a difference inside an absolute value, since we know the difference must be either +25 or -25.
Solving for x
Using the definition of absolute value we have
So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is
Solving for x give us
If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition
Solving for x give us
So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.
6.37² x 3.1
First is Exponents (6.37²):
40.6 x 3.1
Then, Multiplication:
40.6 x 3.1 = 125.9.
To remember the order of operations, the term PEMDAS can be used. (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.)
You do the equation in the order of the letters.
Example:
(5-2)5 + 2² / 6 -1 = ?
First, Parentheses:
(3)5 + 2² / 6 - 1
Then, Exponents:
(3)5 + 4 / 6 - 1
Then, Multiplication:
15 + 4 / 6 - 1
Then, Division:
15 + 0.7 - 1
Then, Addition:
15.7 - 1
Then, Subtraction:
14.7
So that means, (5-2)5 + 2² / 6 -1 = 14.7
Answer:
Ann us correct. It's a quadratic function.
Step-by-step explanation:
Given equation is,
y = 3x(x - 7)
By converting this equation into the standard quadratic equation,
y = 3x² - 21x
Highest exponent of the polynomial equation is 2 (Exponent of highest degree variable x²). This decides that the given function is a quadratic function.
Therefore, Ann is correct. It's a quadratic function.
