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____ [38]
3 years ago
10

II. Let f(x) = 9 – x , g(x) = x2 + 4, and h(x) = x – 2. Compute the following: 7. g(f(12))

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0
G(f(12))
f(12) = 9 - 12 = -3
g(-3) = (-3)^2 + 4 = 9 + 4 = 13
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The length of a rectangle is 4 ya more than twice the width x. The area is 510 yd^2. Find the dimensions of the given shape
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Answer:

The dimensions of the rectangle are

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Step-by-step explanation:

Given:

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Solution:

We know that,

\textrm{Area of rectangle} = Length\times Width

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510 = (4 + 2x)\times x\\510 = 4x+2x^{2}\ \textrm{using distributive property}\\\textrm{dividing throughout by two}\\255=2x+x^{2} \\\\x^{2} +2x -255 = 0\\

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∴ x^{2}+ 17x -15x -255=0\\x(x+17)-15(x+17)=0\\(x-15)(x+17)=0\\\therefore x-15 =0\ or\ x+17=0\\\\\textrm{x cannot be negative i.e -17}\\\therefore x=15

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The dimensions of the rectangle are

length = 34 yards

width = 15 yards

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4 years ago
add 7. double the result. subtract 8. divide by 2. su tract the orginial selected number 1st nuber is 3 second number is 4 the t
sertanlavr [38]
Hi,


The equation looks like this...

n + 7 \times 2 - 8 \div 2 \\ 3 + 7 \times 2 - 8 \div 2 = 3 + 14 - 4 = 13 \\ 4 + 7 \times 2 - 8 \div 2 = 4 + 14 - 4 = 14 \\ 9 + 7 \times 2 - 8 \div 2 = 9 + 14 - 4 = 19 \\ 12 + 7 \times 2 - 8 \div 2 = 12 + 14 - 4 = 22

Hope this helps.
r3t40
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d1i1m1o1n [39]

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Step-by-step explanation:

-6 - (-9)

1) Remove parentheses

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3

See attachted image for rules of positive and negative integers.

Source: YourDictionary

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Triss [41]
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