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ololo11 [35]
3 years ago
8

*click image*

Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

y = -948

Step-by-step explanation:

y/-12 + 16 = 95 (subtract 16 from both sides)

y/-12 = 79 (multiply -12 to both sides)

y = -948

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Given f (x ) = x^2 + 3x + 2 and g (x ) = x + 1, perform the indicated operations.
Nana76 [90]

Answer:

(i) (f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2

Step-by-step explanation:

The given functions are;

f(x) = x² + 3·x + 2

g(x) = x + 1

(i) (f - g)(x) = f(x) - g(x)

∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1

(f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = f(x) + g(x)

∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3

(f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = f(x) × g(x)

∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2

(f·g)(x) = x³ + 4·x² + 5·x + 2

7 0
3 years ago
Indi bought a shirt for $30. He paid 7% sales tax. How much sales tax did Indie pay?​
ivann1987 [24]

<u>He paid $ 32.10 </u>

because

07 * 30 = <u>2.10 </u>

2.10 + 30 = <u>$ 32.10</u>

7 0
3 years ago
Simplify: the sum of 6.6 and 3.2 all divided by 5 times the quantity of the squared difference of 2 minus 5 plus 6. −11.64 −5.76
denis-greek [22]

Answer:

23.64

Step-by-step explanation:

\frac{6.6+3.2}{5} × (2 - 5)² + 6

= \frac{9.8}{5} × (- 3)² + 6

= 1.96 × 9 + 6

= 17.64 + 6

= 23.64

5 0
2 years ago
A circle centered at the origin contains the point
nadezda [96]

Answer: yes your correct it is c

Step-by-step explanation:

Did this online

5 0
3 years ago
What is the diameter of a hemisphere with a volume of 651 m^3, to the nearest tenth<br> of a meter?
Sphinxa [80]

Answer: 13.5 m, hope this helps :)

5 0
3 years ago
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