Answer:
a < -30/31
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
7a + 42 + 8 < -10 + 9a - 64a
<u>Step 2: Solve for </u><em><u>a</u></em>
- Combine like terms (a): 7a + 42 + 8 < -10 - 55a
- Combine like terms: 7a + 50 < -10 - 55a
- [Addition Property of Equality] Add 55a on both sides: 62a + 50 < -10
- [Subtraction Property of Equality] Subtract 50 on both sides: 62a < -60
- [Division Property of Equality] Divide 62 on both sides: a < -30/31
Here we see any number <em>a</em> less than -30/31 would work as a solution to the inequality.
Answer:
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Step-by-step explanation:
In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.
Given function is:
Taking first derivative
Now the first derivative has to be put equal to zero to find the critical value
The function has only one critical value which is 5.
Taking 2nd derivative
As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5
The value can be found out by putting x=5 in the function
Hence,
<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>
Hence,
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Are you trying to find x? send the whole question xoxo
Suppose that Paolo and Sharon are the only consumers of ice cream cones in a particular market. The following table shows their monthly demand schedules: Price Paolo’s Quantity Demanded Sharon’s Quantity Demanded (Dollars per cone) (Cones) (Cones) 1 8 16 2 5 12 3 3 8 4 1 6 5 0 4 On the following graph, plot Paolo’s demand for ice cream cones using the green points (triangle symbol). Next, plot Sharon’s demand for ice cream cones using the purple points (diamond symbol). Finally, plot the market demand for ice cream cones using the blue points (circle symbol). Note: Line segments will automatically connect the points. Remember to plot from left to right. Paolo’s Demand Sharon’s Demand Market Demand 0 4 8 12 16 20 24 6 5 4 3 2 1 0 PRICE (Dollars per cone) QUANTITY (Cones)
