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ankoles [38]
3 years ago
10

Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3.

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0
f(x)=2x+1 \\
g(x)=-5x+2 \\ \\
f(g(x))=2(-5x+2)+1=-10x+4+1=-10x+5 \\
f(g(3))=-10 \times 3+5=-30+5=-25 \\
\boxed{f(g(3))=-25}

The answer is C.
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3 years ago
. A garden measuring 12 m by 16 m is to have a pedestrian pathway that is ???????? meters wide installed all the way
Radda [10]

Answer:

1.5m

Step-by-step explanation:

Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.

The new area thus becomes:

(12+2x)(16+2x) = 285

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4x^2 + 56x + 192 = 285

4x^2 + 56x + 192 - 285 =0

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4 0
3 years ago
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Step-by-step explanation:

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7 0
3 years ago
3/4+1/2= 2. 5/6+1/2= 3. 3/6+1/2= 4.1/6+4/8= 5.7/8+1/4= 6.3/8+1/2=
kaheart [24]

Answer:

1.) \frac{5}{4\\}

2.) \frac{4}{3}

3.) 1

4.) \frac{2}{3}

5.) \frac{9}{8}

6.) \frac{7}{8}

Step-by-step explanation:

The 2 steps for all of these is to get common denominators and then add and simplify.

1.) 3/4 + 1/2 (common denominator) 3/4 + 2/4 = 5/4

2.) 5/6 + 1/2 (common denominator) 5/6 + 3/6 = 4/3

3.) 3/6 + 1/2 (common denominator) 3/6 + 3/6 = 6/6 (simplify) = 1

4.) 1/6 + 4/8 (common denominator) 8/48 + 24/48 =  32/48 (simplify) = 2/3

5.) 7/8 + 1/4 (common denominator) 7/8 + 2/8 = 9/8

6.) 3/8 + 1/2 (common denominator) 3/8 + 4/8 = 7/8

6 0
3 years ago
-2(2x-5)=-74 show all work pleaseeeee 15 points!
frutty [35]

Answer:

x equals 4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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