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AlexFokin [52]
2 years ago
9

H(x) = (x2 − 49)(x + 4)

Mathematics
1 answer:
Maru [420]2 years ago
8 0

Answer:

h(x) = x³ + 4x² - 49x - 196

Step-by-step explanation:

h(x) = (x² - 49)(x + 4) <== distribute

h(x) = x²(x) - 49(x) + x²(4) - 49(4)

h(x) = x³ - 49x + 4x² - 196 <== rewrite in standard form (descending degrees)

h(x) = x³ + 4x² - 49x - 196

Hope this helps!

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A population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, which function represe
Dimas [21]

Answer:

P(t) = 258( 1 + 6%)^t

Step-by-step explanation:

Given that the  population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, the function representing the number of caribou in the forest in t years will be

P(t) = 258( 1 + 6%)^t

Since it is increasing, it will be 1 + 6%

Where P(t) is the function representing the population after t years.

258 is the current or initial population.

6 0
3 years ago
Find the total travel time: Depart 5:30 pm MST Arrive 9:20 pm CST
Len [333]

Answer:

  2 hours 50 minutes

Step-by-step explanation:

Mountain Standard Time is 1 hour earlier than Central Standard Time, so the departure time is equivalent to 6:30 pm in CST.

The time between 6:30 pm and 9:20 pm is 2 hours 50 minutes.

8 0
3 years ago
jane lives 1 3/8 miles from the airport. She drove from her house to the airport and back 2 times. How far did Jane drive? Move
Ket [755]

Answer:

5\frac{1}{2}\ mi

Step-by-step explanation:

we know that

1\frac{3}{8}\ mi=\frac{1*8+3}{8}=\frac{11}{8}\ mi

She drove from her house to the airport and back 2 times

so

Multiply the distance from her house to the airport by 4

(4)*\frac{11}{8}=\frac{11}{2}=5\frac{1}{2}\ mi

4 0
3 years ago
RS = 4x – 9, ST = 19, RT = 80 – 14<br><br> Equation:<br><br> 82 – 14<br><br> RS<br><br> RT
algol13

Step-by-step explanation:

The expressions are not properly written

Given

RS = 4x – 9

ST = 19

RT = 8x – 14

Based on the given parameters, the addition postulate below is true

RS+ST = RT

Substitute

4x-9+19 = 8x-14

collect like terms

4x-8x = -14-19+9

-4x = -33+9

-4x = -24

x = -24/-4

x = 6

Get RS:

RS = 4x-9

RS = 4(6)- 9

RS = 24-9

RS = 15

Get RT:

RT = 8x - 14

RT = 8(6)-14

RT = 48-14

RT = 34

4 0
3 years ago
many villages have water tanks that they use for farming Jeffs Village has a cylinder shaped water tank that has a 4M radius and
Alex73 [517]

Answer:

8Mm-18M

Step-by-step explanation:

the volume is 8Mm-18M

6 0
3 years ago
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