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4 years ago

For f(x) = 3x + 1 and g(x) = x2 - 6, find (f + g)(x).

Mathematics

2 answers:

Harlamova29_29 [7]4 years ago

8 0

Answer:

${x}^{2} + 3x - 5$

Step-by-step explanation:

$f(x) = 3x + 1 \\ g(x) = {x}^{2} - 6 \\ (f + g)(x) = (3x + 1) + ( {x}^{2} - 6) \\ = 3x + 1 + {x}^{2} - 6 \\ = {x}^{2} + 3x - 5$

Tasya [4]4 years ago

3 0

Answer:

x^2+3x-5

Step-by-step explanation:

f(x) = 3x + 1

g(x) = x^2 - 6,

(f + g)(x)= 3x + 1 +x^2 - 6,

Combine like terms

= x^2+3x-5

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Which set of numbers could represent the side lengths of a right triangle? A. 0.1, 0.2, 0.3 B. 1.8, 2.4, 3 3, 8, 10 D. 5, 7, 12

Lelechka [254]

Answer:

B. 1.8, 2.4, 3

Step-by-step explanation:

You can make use of pythagore to prove each of the given options and you'll see that B is the correct answer:

A) $\sqrt{0.1^{2}+0.2^{2}}=0.22$

B) $\sqrt{1.8^{2}+2.4^{2}}=3$

C) $\sqrt{3^{2}+8^{2}}=8.54$

D) $\sqrt{5^{2}+7^{2}}=8.6$

5 0

3 years ago

Which list of numbers is in order from least to greatest?<br> 3/6 3/10 3/7

lapo4ka [179]

The list of numbers from least to greatest is

3/10 , 3/7, 3/6

This is because the numerator stays the same across all three of these fractions. However, the denominator is changing, and this proves to be a large difference.

Think about it this way: If you cut a pie into ten pieces, then those slices are going to be smaller than if you cut the pie into seven or six pieces.

5 0

4 years ago

Read 2 more answers

The steps to convert 18 over 8 to a decimal are shown below: Division is shown with divisor 8 and quotient 2.35 and dividend 18.

natka813 [3]

Answer:

Step 2

18 over 8 to a decimal is 2.25

Step-by-step explanation:

Step 1, 20, subtract 16 labeled as

Step 2, 40 labeled as

Step 3, subtract 40, and 0 labeled as Step 4.

Divisor = 8

Divided = 18

Quotient = 2.25

2.25

8 √18

- 16

2 0

- 16

4 0

- 40

The first error is at step 2

18 over 8 to a decimal is 2.25

See the attached image for better understanding

4 0

3 years ago

ILL GIVE BRAINLIEST PLZZ I NEED THIS

wel

Answer:

$by \ pythagoras \ theorem : \\(3x +1 )^2 = (3x - 1)^2 +x^2\\\\9x^2 + 6x +1 = 9x^2 + 1 -6x +x^2\\\\9x^2 + 6x +1 = 10x^2 + 1 -6x \\\\ 10x^2 + 1 -6x - 9x^2 -6x -1 = 0 \\\\x^2 -12x = 0\\x(x - 12) = 0\\x = 0, 12\\since \ length \ cannot \be \ 0, x = 12\\OJ = 3x + 1 = 3(12) +1 = 37$

$by \ pythagoras \ thm, \\(7x -12) ^2 = (5x +10)^2 +(2x)^2\\\\49x^ 2 +144 - 168x = 25x^2 +100+ 100x +2x^2\\\\49x^ 2 +144 - 168x - 25x^2 -100- 100x -2x^2 = 0\\\\22x^2 -268x -44 = 0\\11x^2 - 134x - 22 = 0\\x=12.0154$

3 0

3 years ago

Dose anyone know how to help me with this

natima [27]

No srry but you can try asking someone else

4 0

3 years ago