The graph is the space between (and including) the lines
... 5x + y = -1
... 5x + y = 11
The combined volume of the two shapes is 3510 cubic inches.
To find the volume of each shape, use the formula: V = LWH.
The small shape is: 16 x 15 x 6 = 1350
The large shape is: 24 x 15 x 6 = 2160
Answer:
1) f=−8/7 2) z=−3/7
Step-by-step explanation:
1)-f+8=-8f
−f+8=−8f
Step 1: Add 8f to both sides.
−f+8+8f=−8f+8f
7f+8=0
Step 2: Subtract 8 from both sides.
7f+8−8=0−8
7f=−8
Step 3: Divide both sides by 7.
7f/7=−8/7
f=-8/7
2) 6z-5=-z-8
6z−5=−z−8
Step 1: Add z to both sides.
6z−5+z=−z−8+z
7z−5=−8
Step 2: Add 5 to both sides.
7z−5+5=−8+5
7z=−3
Step 3: Divide both sides by 7.
7z/7=−3/7
3,552,308,725 is three billion five hundred fifty two million three hundred eight thousand seven hundred twenty five.
To obtain the graph of the function y = |x+2| we have to make a table of values of x to find the values of y. The absolute value or modulus of a real number is its numerical value without care its sign. For example, the absolute value of |4| and |-4| is 4.
In order to make a graph we are going to use the values (-3, -2, -1, 0, 1, 2, 3) for x.
x = -3
y = |-3 + 2| = |-1| = 1
x = -2
y = |-2 + 2| = |0| = 0
x = -1
y = |-1 + 2| = |1| = 1
x = 0
y = |0 + 2| = |2| = 2
x = 1
y = |1 + 2| = |3| = 3
x = 2
y = |2 + 2| = |4| = 4
x = 3
y = |3 + 2| = |5| = 5
<u> x ║ y</u>
-3 1
-2 0
-1 1
0 2
1 3
2 4
3 5
Obtaining the graph shown in the image attached.
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