The expression represents the number of gallons used is m/22.
Given
Nikki can drive her car 22 miles on each gallon of gasoline.
<h3>What is the unit rate?</h3>
A rate is a ratio that is used for comparing two different kinds of quantities which have different units.
To find the number of gallons used we will divide the total distance traveled by distance traveled in one gallon.
Therefore,
If Nikki drives m miles, the expression represents the number of gallons used is;
Hence, the expression represents the number of gallons used is m/22.
To know more about the Unit rate click the link given below.
brainly.com/question/11258929
The given polynomial function has 1 relative minimum and 1 relative maximum.
<h3>What are the relative minimum and relative maximum?</h3>
- The relative minimum is the point on the graph where the y-coordinate has the minimum value.
- The relative maximum is the point on the graph where the y-coordinate has the maximum value.
- To determine the maximum and the minimum values of a function, the given function is derivated(since the maximum or minimum is obtained at slope = 0)
<h3>Calculation:</h3>
The given function is
f(x) = 2x³ - 2x² + 1
derivating the above function,
f'(x) = 6x² - 4x
At slope = 0, f'(x) = 0 (for maximum and minimum values)
⇒ 6x² - 4x = 0
⇒ 2x(3x - 2) = 0
2x = 0 or 3x - 2 = 0
∴ x = 0 or x = 2/3
Then the y-coordinates are calculated by substituting these x values in the given function,
when x = 0;
f(0) = 2(0)³ - 2(0)² + 1 = 1
So, the point is (0, 1)
when x = 2/3;
f(2/3) = 2(2/3)³ - 2(2/3)² + 1 = 19/27
So, the point is (2/3, 19/27)
Since y = 1 is the largest value, the point (0, 1) is the relative maximum for the given function.
So, y = 19/27 is the smallest value, the point (2/3, 19/27) is the relative minimum for the given function.
Thus, option A is correct.
Learn more about the relative minimum and maximum here:
brainly.com/question/9839310
#SPJ1
Answer:
1.) 7. (7 x 7 = 9)
2.) IDK, sorry
3.) 8/27
Apply the product rule to 2/3
2^3/ 3^3
Raise 2 to the power of 3.
8/27
4.) 9
1. Exponentiation: 3 ^ 4 = 81
2. Exponentiation: 3 ^ (-2) = 0.111111111111 = 1/9
3. Multiple: the result of step No. 1 * the result of step No. 3 = 81*1/9 = 81 · 1/1 · 9 = 81/9 = 9 · 9/1 · 9 = 9
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 9) = 9. Cancelling by a common factor of 9 gives 9/1.
In words - eighty-one multiplied by one ninth = nine.
4. Exponentiation: 3 ^ 0 = 1
5.Multiple: the result of step No. 4 * the result of step No. 5 = 9 * 1 = 9
5.) 1/125
5 ^ (-3) = 0.008 = 1/125
6.) IDK, sorry
Answer:
The flow rate is 138.95 mL per hour.
Step-by-step explanation:
We are given the following in the question:
Volume of solution = 2.64 L
1 L = 1000 mL
Volume of solution in mL =
Time period = 19 hour
Unit rate of flow =
Thus, the flow rate is 138.95 mL per hour.
Answer:
63
Step-by-step explanation:
90+13x+1+28x+7=180
98+41x=180
41x=82
x=2
Plugging in the value of x, we get:
28x+7=28(2)+7=56+7=63
