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Svetlanka [38]
3 years ago
12

Given that g(y) = y2 - 1, find g(a - 1).Give your answer in its simplest form.​

Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Answer:

a^2 - 2a.

Step-by-step explanation:

Replace the y in g(y) by a - 1 and simplify.

g(a-1) = (a - 1)^2 - 1

= a^2 - 2a + 1 - 1

= a^2 - 2a.

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The three sides of a triangular lot are represented by x, 2x, and 3x + 2. Find each side if the perimeter of the triangular lot
Svetlanka [38]
To find the perimeter, you would add all the sides.  Because we know the perimeter, we can represent this as an equation that needs solved.

362 = x + (2x) + (3x + 2), combine the like terms
362 = 6x + 2, subtract 2 from both sides
   -2           -2
<u>360</u> = <u>6x</u>, divide both sides by 6
   6       6

x = 60 feet

side 1 = 60 feet
side 2 = 120 feet
side 3 = 182 feet

check your work:  60 + 120 + 182 = 362 feet
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3 years ago
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cluponka [151]
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Given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)​
denis-greek [22]

Answer:

The function of g(x) = 5x + 2

Step-by-step explanation:

Let us use the composite function to solve the question

∵ f(x) = 2x - 1

∵ f(g(x)) = 10x + 3

→ f(g(x)) means substitute x in f(x) by g(x)

∴ f(g(x)) = 2[g(x)] - 1

→ Equate the two right sides of f(g(x))

∴ 2[g(x)] - 1 = 10x + 3

→ Add 1 to both sides

∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1

∴ 2[g(x)] = 10x + 4

→ Divide each term into both sides by 2

∵ \frac{2[g(x)]}{2} = \frac{10x}{2} + \frac{4}{2}

∴ g(x) = 5x + 2

∴ The function of g(x) = 5x + 2

7 0
2 years ago
In the parallelogram below, z = ?°
katrin [286]

Answer:

z is 111 degrees

Step-by-step explanation:

69 ° and z is a linear pair, therefore:

69 + z = 180

z = 180 - 69

z= 111

7 0
2 years ago
Emily goes to the store with $56. She buys pants for $19, a shirt for $17 and 2 bracelets for $4. Does she have enough for a pai
Sergeu [11.5K]
19+17+4+4=44

56-44=12

20-12=8

No, and she needs 8 more dollars.
8 0
3 years ago
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