Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
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Expert Solution & Answer
Chapter 7.1, Problem 24IP
Solution
(a)
Use the Distributive property to write 12(24−h) as an equivalent algebraic expression.
288−12h
Given information:
The expression, 12(24−h)
Concept used:
- The distributive property of binomials (FOIL): (a+b)(c+d)=a⋅c+a⋅d+b⋅c+b⋅d
- Left Distributive property: a(b+c)=a⋅b+a⋅c
- Right Distributive property: (a±b)c=a⋅c±b⋅c
- Exponent property: xn⋅xm=xn+m
Calculation:
In order to simplify the given expression 12(24−h) , first use the distributive property to expand the parenthesis and then simplify further by using the exponent property as shown below
12(24−h)=12(24−h)=12(24)+12(−h)=288−12h
Thus, the given expression simplifies to 288−12h .
(b)
Make a table of ordered pairs of (h,v) of the equation 288−12h .
| h | v | (v,h) |
| 0 | 288 | (0,288) |
| 1 | 276 | (1,276) |
| 2 | 264 | (2,264) |
| 3 | 252 | (3,252) |
| 4 | 240 | (4,240) |
Given information:
The expression, 288−12h
Explanation:
In order to make a table for v,h by using the expression v=288−12h ,putting any value of h to get the value of v. So, the table is :
| h | v | (v,h) |
| 0 | 288 | (0,288) |
| 1 | 276 | (1,276) |
| 2 | 264 | (2,264) |
| 3 | 252 | (3,252) |
| 4 | 240 | (4,240) |
(c)
Graph the ordered pairs on the coordinate plane.
GIVEN:
The expression, 12(24−h)
Concept Used:
In rectangular coordinate system any point be in the form of (x,y) .
In Quadrant I, both the coordinates of ordered pair are positive, that is, (+,+) .
In Quadrant II, first number is negative and second is positive, that is, (−,+) .
In Quadrant III, both the coordinates of ordered pair are negative, that is, (−,−) .
In Quadrant IV, first point is positive and second is negative, that is, (+,−) .
Explanation: In order to plot the point (0,288) , observe that both numbers of the ordered pair are positive, so the point will be in first quadrant.To plot the graph of the point, first move 0 units to the right starting from origin and then move 288 units up.
In order to plot the point (1,276) , observe that both numbers of the ordered pair are positive, so the point will be in first quadrant.To plot the graph of the point, first move 1 units to the right starting from origin and then move 276 units up.
In order to plot the point (2,264) , observe that both numbers of the ordered pair are positive, so the point will be in first quadrant.To plot the graph of the point, first move 2 units to the right starting from origin and then move 264 units up.
In order to plot the point (3,252) , observe that both numbers of the ordered pair are positive, so the point will be in first quadrant.To plot the graph of the point, first move 3 units to the right starting from origin and then move 252 units up.
In order to plot the point (4,240) , observe that both numbers of the ordered pair are positive, so the point will be in first quadrant.To plot the graph of the point, first move 4 units to the right starting from origin and then move 240 units up.
The graph of the point is shown below:
(d)
Explain what happen to the volume as the height increases.
Given information:
The expression, v=12(24−h)
Explanation:
If the height of the volume increases then there volume will be decreases because of the equation given v=12(24−h) .
Chapter 7 Solutions
Glencoe Math Accelerated, Student Edition
Ch. 7.1 - Prob. 1GPCh. 7.1 - Prob. 2GPCh. 7.1 - Prob. 3GPCh. 7.1 - Prob. 4GPCh. 7.1 - Prob. 5GPCh. 7.1 - Prob. 6GPCh. 7.1 - Prob. 7GPCh. 7.1 - Prob. 8GPCh. 7.1 - Prob. 9GPCh. 7.1 - Prob. 10IP
Ch. 7.1 - Prob. 11IPCh. 7.1 - Prob. 12IPCh. 7.1 - Prob. 13IPCh. 7.1 - Prob. 14IPCh. 7.1 - Prob. 15IPCh. 7.1 - Prob. 16IPCh. 7.1 - Prob. 17IPCh. 7.1 - Prob. 18IPCh. 7.1 - Prob. 19IPCh. 7.1 - Prob. 20IPCh. 7.1 - Prob. 21IPCh. 7.1 - Prob. 22IPCh. 7.1 - Prob. 23IPCh. 7.1 - Prob. 24IPCh. 7.1 - Prob. 25IPCh. 7.1 - Prob. 26IPCh. 7.1 - Prob. 27IPCh. 7.1 - Prob. 28IPCh. 7.1 - Prob. 29IPCh. 7.1 - Prob. 30IPCh. 7.1 - Prob. 31IPCh. 7.1 - Prob. 32IPCh. 7.1 - Prob. 33IPCh. 7.1 - Prob. 34IPCh. 7.1 - Prob. 35IPCh. 7.1 - Prob. 36IPCh. 7.1 - Prob. 37HPCh. 7.1 - Prob. 38HPCh. 7.1 - Prob. 39HPCh. 7.1 - Prob. 40STPCh. 7.1 - Prob. 41STPCh. 7.1 - Prob. 42STPCh. 7.1 - Prob. 43STPCh. 7.1 - Prob. 44CCRCh. 7.1 - Prob. 45CCRCh. 7.1 - Prob. 46CCRCh. 7.1 - Prob. 47CCRCh. 7.1 - Prob. 48CCRCh. 7.1 - Prob. 49CCRCh. 7.1 - Prob. 50CCRCh. 7.1 - Prob. 51CCRCh. 7.1 - Prob. 52CCRCh. 7.1 - Prob. 53CCRCh. 7.2 - Prob. 1GPCh. 7.2 - Prob. 2GPCh. 7.2 - Prob. 3GPCh. 7.2 - Prob. 4GPCh. 7.2 - Prob. 5GPCh. 7.2 - Prob. 6GPCh. 7.2 - Prob. 7GPCh. 7.2 - Prob. 8GPCh. 7.2 - Prob. 9GPCh. 7.2 - Prob. 10GPCh. 7.2 - Prob. 11GPCh. 7.2 - Prob. 12GPCh. 7.2 - Prob. 13GPCh. 7.2 - Prob. 14GPCh. 7.2 - Prob. 15IPCh. 7.2 - Prob. 16IPCh. 7.2 - Prob. 17IPCh. 7.2 - Prob. 18IPCh. 7.2 - Prob. 19IPCh. 7.2 - Prob. 20IPCh. 7.2 - Prob. 21IPCh. 7.2 - Prob. 22IPCh. 7.2 - Prob. 23IPCh. 7.2 - Prob. 24IPCh. 7.2 - Prob. 25IPCh. 7.2 - Prob. 26IPCh. 7.2 - Prob. 27IPCh. 7.2 - Prob. 28IPCh. 7.2 - Prob. 29IPCh. 7.2 - Prob. 30IPCh. 7.2 - Prob. 31IPCh. 7.2 - Prob. 32IPCh. 7.2 - Prob. 33IPCh. 7.2 - Prob. 34IPCh. 7.2 - Prob. 35IPCh. 7.2 - Prob. 36IPCh. 7.2 - Prob. 37IPCh. 7.2 - Prob. 38IPCh. 7.2 - Prob. 39IPCh. 7.2 - Prob. 40IPCh. 7.2 - Prob. 41IPCh. 7.2 - Prob. 42IPCh. 7.2 - Prob. 43IPCh. 7.2 - Prob. 44IPCh. 7.2 - Prob. 45IPCh. 7.2 - Prob. 46IPCh. 7.2 - Prob. 47IPCh. 7.2 - Prob. 48IPCh. 7.2 - Prob. 49IPCh. 7.2 - Prob. 50IPCh. 7.2 - Prob. 51IPCh. 7.2 - Prob. 52IPCh. 7.2 - Prob. 53IPCh. 7.2 - Prob. 54HPCh. 7.2 - Prob. 55HPCh. 7.2 - Prob. 56HPCh. 7.2 - Prob. 57HPCh. 7.2 - Prob. 58HPCh. 7.2 - Prob. 59HPCh. 7.2 - Prob. 60STPCh. 7.2 - Prob. 61STPCh. 7.2 - Prob. 62STPCh. 7.2 - Prob. 63STPCh. 7.2 - Prob. 64CCRCh. 7.2 - Prob. 65CCRCh. 7.2 - Prob. 66CCRCh. 7.2 - Prob. 67CCRCh. 7.2 - Prob. 68CCRCh. 7.2 - Prob. 69CCRCh. 7.2 - Prob. 70CCRCh. 7.2 - Prob. 71CCRCh. 7.2 - Prob. 72CCRCh. 7.2 - Prob. 73CCRCh. 7.2 - Prob. 74CCRCh. 7.2 - Prob. 75CCRCh. 7.2 - Prob. 76CCRCh. 7.2 - Prob. 77CCRCh. 7.2 - Prob. 78CCRCh. 7.2 - Prob. 79CCRCh. 7.2 - Prob. 80CCRCh. 7.2 - Prob. 81CCRCh. 7.2 - Prob. 82CCRCh. 7.2 - Prob. 83CCRCh. 7.3 - Prob. 1GPCh. 7.3 - Prob. 2GPCh. 7.3 - Prob. 3GPCh. 7.3 - Prob. 4GPCh. 7.3 - Prob. 5GPCh. 7.3 - Prob. 6IPCh. 7.3 - Prob. 7IPCh. 7.3 - Prob. 8IPCh. 7.3 - Prob. 9IPCh. 7.3 - Prob. 10IPCh. 7.3 - Prob. 11IPCh. 7.3 - Prob. 12IPCh. 7.3 - Prob. 13IPCh. 7.3 - Prob. 14IPCh. 7.3 - Prob. 15IPCh. 7.3 - Prob. 16IPCh. 7.3 - Prob. 17IPCh. 7.3 - Prob. 18HPCh. 7.3 - Prob. 19HPCh. 7.3 - Prob. 20HPCh. 7.3 - Prob. 21HPCh. 7.3 - Prob. 22STPCh. 7.3 - Prob. 23STPCh. 7.3 - Prob. 24STPCh. 7.3 - Prob. 25STPCh. 7.3 - Prob. 26CCRCh. 7.3 - Prob. 27CCRCh. 7.3 - Prob. 28CCRCh. 7.3 - Prob. 29CCRCh. 7.3 - Prob. 30CCRCh. 7.3 - Prob. 31CCRCh. 7.3 - Prob. 32CCRCh. 7.3 - Prob. 33CCRCh. 7.3 - Prob. 34CCRCh. 7.3 - Prob. 35CCRCh. 7.3 - Prob. 36CCRCh. 7.3 - Prob. 37CCRCh. 7.3 - Prob. 38CCRCh. 7.3 - Prob. 39CCRCh. 7.3 - Prob. 40CCRCh. 7.3 - Prob. 41CCRCh. 7.3 - Prob. 42CCRCh. 7.3 - Prob. 43CCRCh. 7.3 - Prob. 44CCRCh. 7.3 - Prob. 45CCRCh. 7.3 - Prob. 46CCRCh. 7.3 - Prob. 47CCRCh. 7.4 - Prob. 1GPCh. 7.4 - Prob. 2GPCh. 7.4 - Prob. 3GPCh. 7.4 - Prob. 4GPCh. 7.4 - Prob. 5GPCh. 7.4 - Prob. 6IPCh. 7.4 - Prob. 7IPCh. 7.4 - Prob. 8IPCh. 7.4 - Prob. 9IPCh. 7.4 - Prob. 10IPCh. 7.4 - Prob. 11IPCh. 7.4 - Prob. 12IPCh. 7.4 - Prob. 13IPCh. 7.4 - Prob. 14IPCh. 7.4 - Prob. 15HPCh. 7.4 - Prob. 16HPCh. 7.4 - Prob. 17HPCh. 7.4 - Prob. 18STPCh. 7.4 - Prob. 19STPCh. 7.4 - Prob. 20STPCh. 7.4 - Prob. 21STPCh. 7.4 - Prob. 22CCRCh. 7.4 - Prob. 23CCRCh. 7.4 - Prob. 24CCRCh. 7.4 - Prob. 25CCRCh. 7.4 - Prob. 26CCRCh. 7.4 - Prob. 27CCRCh. 7.4 - Prob. 28CCRCh. 7.4 - Prob. 29CCRCh. 7.4 - Prob. 30CCRCh. 7.4 - Prob. 31CCRCh. 7.4 - Prob. 32CCRCh. 7.4 - Prob. 33CCRCh. 7.4 - Prob. 34CCRCh. 7.4 - Prob. 35CCRCh. 7.4 - Prob. 36CCRCh. 7.4 - Prob. 37CCRCh. 7.4 - Prob. 38CCRCh. 7.4 - Prob. 39CCRCh. 7.4 - Prob. 40CCRCh. 7.4 - Prob. 41CCRCh. 7.4 - Prob. 42CCRCh. 7.4 - Prob. 43CCRCh. 7.5 - Prob. 1GPCh. 7.5 - Prob. 2GPCh. 7.5 - Prob. 3GPCh. 7.5 - Prob. 4GPCh. 7.5 - Prob. 5GPCh. 7.5 - Prob. 6GPCh. 7.5 - Prob. 7GPCh. 7.5 - Prob. 8GPCh. 7.5 - Prob. 9GPCh. 7.5 - Prob. 10GPCh. 7.5 - Prob. 11GPCh. 7.5 - Prob. 12GPCh. 7.5 - Prob. 13GPCh. 7.5 - Prob. 14GPCh. 7.5 - Prob. 15GPCh. 7.5 - Prob. 16GPCh. 7.5 - Prob. 17GPCh. 7.5 - Prob. 18GPCh. 7.5 - Prob. 19GPCh. 7.5 - Prob. 20GPCh. 7.5 - Prob. 21IPCh. 7.5 - Prob. 22IPCh. 7.5 - Prob. 23IPCh. 7.5 - Prob. 24IPCh. 7.5 - Prob. 25IPCh. 7.5 - Prob. 26IPCh. 7.5 - Prob. 27IPCh. 7.5 - Prob. 28IPCh. 7.5 - Prob. 29IPCh. 7.5 - Prob. 30IPCh. 7.5 - Prob. 31IPCh. 7.5 - Prob. 32IPCh. 7.5 - Prob. 33IPCh. 7.5 - Prob. 34IPCh. 7.5 - Prob. 35IPCh. 7.5 - Prob. 36IPCh. 7.5 - Prob. 37IPCh. 7.5 - Prob. 38IPCh. 7.5 - Prob. 39IPCh. 7.5 - Prob. 40IPCh. 7.5 - Prob. 41IPCh. 7.5 - Prob. 42IPCh. 7.5 - Prob. 43IPCh. 7.5 - Prob. 44IPCh. 7.5 - Prob. 45IPCh. 7.5 - Prob. 46IPCh. 7.5 - Prob. 47IPCh. 7.5 - Prob. 48IPCh. 7.5 - Prob. 49IPCh. 7.5 - Prob. 50IPCh. 7.5 - Prob. 51HPCh. 7.5 - Prob. 52HPCh. 7.5 - Prob. 53HPCh. 7.5 - Prob. 54STPCh. 7.5 - Prob. 55STPCh. 7.5 - Prob. 56STPCh. 7.5 - Prob. 57CCRCh. 7.5 - Prob. 58CCRCh. 7.5 - Prob. 59CCRCh. 7.5 - Prob. 60CCRCh. 7.5 - Prob. 61CCRCh. 7.5 - Prob. 62CCRCh. 7.5 - Prob. 63CCRCh. 7.5 - Prob. 64CCRCh. 7.5 - Prob. 65CCRCh. 7.5 - Prob. 66CCRCh. 7.5 - Prob. 67CCRCh. 7.5 - Prob. 68CCRCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 16CRCh. 7 - Prob. 17CRCh. 7 - Prob. 18CRCh. 7 - Prob. 19CRCh. 7 - Prob. 20CRCh. 7 - Prob. 21CRCh. 7 - Prob. 22CRCh. 7 - Prob. 23CRCh. 7 - Prob. 24CRCh. 7 - Prob. 25CRCh. 7 - Prob. 26CRCh. 7 - Prob. 27CRCh. 7 - Prob. 28CRCh. 7 - Prob. 29CRCh. 7 - Prob. 30CRCh. 7 - Prob. 31CRCh. 7 - Prob. 32CRCh. 7 - Prob. 33CRCh. 7 - Prob. 34CRCh. 7 - Prob. 35CR
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