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elixir [45]
3 years ago
12

Express your answer as a polynomial in standard form.

Mathematics
1 answer:
topjm [15]3 years ago
6 0

Answer:

f(g(x))                = -5x^2 - 30x + 49

Step-by-step explanation:

f(g(x)) is a composite function, where 'x' in f(x) is replaced by 'x^2 + 6x - 7' because the latter expression is now the input to f(x).

Write out f(x) = -5x + 14, and then replace each 'x' with '(          )'

f(           ) = -5(            ) + 14

Now insert 'g(x)' into the first set of parentheses and 'x^2 + 6x - 7' into the second set of parentheses:

f(           ) = -5(            ) + 14      becomes:

f(g(x)       = -5(x^2 + 6x - 7) + 14.  After simpification, this becomes

f(g(x))       =  -5x^2 - 30x + 35 + 14, or

f(g(x))                = -5x^2 - 30x + 49

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Step-by-step explanation:

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jennifer is making a cold cut platter using turkey and ham for an event. she is using 90 slices of meat. if 63 slices of meat ar
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3 years ago
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4 years ago
The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than
Ira Lisetskai [31]

Answer:

<u>x = 6, length = 8 cm and width = 7 cm</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Area of a rectangle = 56 cm²

Length of the rectangle = x + 2

Width of the rectangle= 2x - 5

2. Solve for x. Round to the nearest whole number.

Area of a rectangle = Length * Width

(x + 2) (2x - 5) = 56

2x² + 4x - 5x  -10 = 56

2x² - x  - 66 = 0

Factoring, we have:

(2x + 11) * (x - 6) = 0

x₁ = 2x + 11 = 0 ⇒ 2x = -11;  x₁  = - 5.5

x₂ = x - 6 = 0 ⇒ x₂ = 6

We picked x₂ because x₁ will give us negative values for length and width.

Length = 6 + 2 = 8 cm

Width = 2 * 6 - 5 = 12 - 5 = 7 cm

8 0
3 years ago
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