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sladkih [1.3K]
2 years ago
5

F(x) = 3x + 2

Mathematics
1 answer:
Vinvika [58]2 years ago
5 0

Answer:

g(f(x)) = 9x² + 12x + 5

Step-by-step explanation:

g(f(x))

= g(3x + 2) ← substitute x = 3x + 2 into g(x)

= (3x + 2)² + 1

to expand (3x + 2)² = (3x + 2)(3x + 2)

each term in the second factor is multiplied by each term in the first factor

3x(3x + 2) + 2(3x + 2) ← distribute both parenthesis

= 9x² + 6x + 6x + 4 ← collect like terms

= 9x² + 12x + 4

then

g(f(x)) = (3x + 2)² + 1 = 9x² + 12x + 4 + 1 = 9x² + 12x + 5

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The Earth has a mass of about 6 x 10^24 kg. Neptune has a mass of 1.8 x 10^27kg. How many times bigger is Neptune than Earth
elena-s [515]

Answer:

300 times bigger.

Step-by-step explanation:

That would be (1.8 * 10^27 ) / (6 * 10^24)

= 0.3 * (10^27/10^24)

= 0.3 * 10^3

= 3 * 10^2

= 300.

5 0
2 years ago
Need help pls and thank you
Mkey [24]

Answer:

y=25x

Step-by-step explanation:

It is a linear equation with a slope of 25

5 0
2 years ago
Will mark brainliest and rate 5/5
Levart [38]

Answer: Usually the formula for the volume of a prism is V=b(h)—> In words, Volume equals base times height. This means the height 10 would replace h. —> V=b(10). Next we want to find the B in the forumla. If you notice the question says that the base is 24 square centimeters. So our new formula is V=24(10). So option C, V=24x10 is the correct answer.

8 0
3 years ago
the scientists collection that as granite that weighs 74 26/36 lbs, marble that weighs 63 16/34 lbs, and quartz that weighs 81 9
ipn [44]

Answer:

<h2> 6 1/2 lbs</h2>

Step-by-step explanation:

Given the weight of granite to be  74 26/36 lbs,

Weight of quartz is 81 9/40 lbs.

To know how much more quartz weight than the granite, we will take the difference between the weight of quartz and granite as shown.

Weight of quartz  - Weight of granite

= 81 9/40 - 74 26/36

= 3,249/40 - 2690/36

= (29, 241 - 26,900)/360

= 2,341/360

= 6 181/360

≈ 6 1/2 lbs

quartz weighs approximately 6 1/2 lbs much more than granite

7 0
2 years ago
In class, joe notices a triangular shaped desk. leg a is 4 and leg b is 10. find<br> c.
Juli2301 [7.4K]
A^2 + b^2 = c^2 fill in the know numbers a=4 b=10
$^2 +10^2 = 116
now find the square root of that its 
c is approx 10.8 
7 0
3 years ago
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