Answer:
12.5H
Step-by-step explanation:
Number of hours worked per day:
Tuesday = 3 hours
Wednesday =5 hours
Thursday = 4.5 hours
H = hourly pay rate
Total amount earned = 3 hours × H + 5 hours × H + 4.5 hours × H
= 3H + 5H + 4.5H
= 12.5H
The expression which shows the total amount she earned = 12.5H
Answer:
(-2 , 5)
(-1 , 0)
(1 , -4)
(3 , 0)
(4 , -5)
Step-by-step explanation:
<u>First solve the equation:</u>
x² - 2x - 3
<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>
-3 and 1
(x - 3)(x + 1)
Solve for x:
x - 3 = 0
x = 3
x + 1 = 0
x = -1
You know that the graph will cross the x-axis at -1 and 3.
(-1 , 0)
(3 , 0)
You know that the graph is positive.
<u>Complete the square to find the vertex</u>
x² - 2x - 3
(x - 1)² = x² - 2 + 1
x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2
1 = 0
x = 1
Substitute into the original equation:
x² - 2x - 3 =
1² - (2 * 1) - 3 =
1 - 2 - 3 =
-4
(1 , -4)
<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>
x² - 2x - 3 =
-2² - (2 * -2) - 3 =
4- -4- 3 =
5
(-2 , 5)
x² - 2x - 3 =
4² - (2 * 4) - 3 =
16 - 8 - 3 =
-5
(4 , -5)
The probability that at least 2 of the dinners selected are pasta dinners will be 0.8181...
<u><em>Explanation</em></u>
Pasta dinners = 7 , Chicken dinners = 6 and Seafood dinners = 2
The student selects 5 of the total 15 dinners. So, total possible ways for selecting 5 dinners
For selecting at least 2 of them as pasta dinners, the student can select 2, 3, 4 and 5 pasta dinners from total 7 pasta dinners.
So, the possible ways for selecting 2 pasta dinners
The possible ways for selecting 3 pasta dinners
The possible ways for selecting 4 pasta dinners
The possible ways for selecting 5 pasta dinners
Thus, the probability for selecting at least 2 pasta dinners
Answer:
A logarithm is the power to which a number must be raised in order to get some other number.
Step-by-step explanation:
For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2.
I do believe the answer is 78.4 :)