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Fed [463]
3 years ago
11

Which function is a quadratic function? c(x) = 6x 3x^3 d(x) = x – 8x^4 p(x) = –5x – x^2 k(x) = 2x^2 9x^4

Mathematics
1 answer:
Nataliya [291]3 years ago
8 0
The function that is a quadratic function is f(x)=-5x-x^2
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Write the prime factorization of each number in exponential notation
n200080 [17]

18225|5\\.\ 3645|5\\.\ \ 729|3\\.\ \ 243|3\\.\ \ \ 81|3\\.\ \ \ 27|3\\.\ \ \ \ 9|3\\.\ \ \ \ 3|3\\.\ \ \ \ 1|\\\\18,225=5\cdot5\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3=5^2\cdot3^6

8 0
2 years ago
Write an expression, using an exponent, that is equivalent <br> 9×9×9×9×9×9×9.
uranmaximum [27]
The answer would he 98
4 0
2 years ago
Read 2 more answers
Foci of ellipse of 3x2 + y2 =9
Oksi-84 [34.3K]

Answer:

x=√-1/3 y^2 +3 or x=-√-1/3 y^2 +3

Step-by-step explanation:

Let's solve for x.

3x2+y2=9

Step 1: Add -y^2 to both sides.

3x2+y2+−y2=9+−y2

3x2=−y2+9

Step 2: Divide both sides by 3.

3x^2/3= -y^2+9/3

x^2=-1/3 y^2 +3

x=√-1/3 y^2 +3 or x=-√-1/3 y^2 +3

Hope it helped!

8 0
2 years ago
Deductions this Week: Federal Tax $52.02, FICA $33.02, State $5.33. Find the annual Federal Tax deduction
Leya [2.2K]

Answer:

The annual federal tax deduction is $2705.04 .

Step-by-step explanation:

As given deduction in a week

Federal Tax $52.02

As there are 52 weeks in a week.

Thus

Annual Federal Tax deduction = Total number of weeks in a year ×  Federal Tax  deduction in week

                                                  = 52 × 52.02

                                                  = $ 2705.04

Therefore the annual federal tax deduction is $2705.04 .

                                       


3 0
2 years ago
Read 2 more answers
An airplane is preparing to land at an airport. It is 44,8000 feet above the ground and is descending at the rate of 3,100 feet
Marina86 [1]

Answer:

Time: 8 minutes

Altitude: 20000ft

Method 1 is easiest

Method 3 is easiest

Step-by-step explanation:

Given

Airplane 1:

Height = 44800 ft

Descending\ Rate = 3100ft/min

Airplane 2:

Ascending\ Rate = 2500ft/min

Required

Determine when both planes would be at the same altitude?

Let the minute be represented by m

For Airplane 1, Its altitude at any height h is:

Airplane\ 1 = Height - Descending\ Rate * m

<em>It is minus (-) because the airplane is descending</em>

Airplane\ 1 = 44800 - 3100 * m

Airplane\ 1 = 44800 - 3100m

For Airplane 2, Its altitude at any height h is:

Airplane\ 2 = Ascending\ Rate * m

Airplane\ 2 = 2500 * m

Airplane\ 2 = 2500m

Method 1:

For both heights to be equal, we have that:

Airplane\ 1 = Airplane\ 2

This gives:

44800 - 3100m = 2500m

Collect Like Terms

44800 = 2500m + 3100m

44800 = 5600m

5600m = 44800

m = 44800/5600

m = 8\ min

<em>Hence, the time they will be at the same altitude is 8 minutes</em>

Substitute 8 for m in

Airplane\ 2 = 2500m

Airplane\ 2 = 2500 * 8

Airplane\ 2 = 20000\ ft

<em>Hence, they will be at the same altitude at 20000ft</em>

Method 2:

We have that:

Airplane\ 1 = 44800 - 3100m

Airplane\ 2 = 2500m

Since they are to be at the same altitude, then

The difference in their altitude must be 0

i.e.

Airplane\ 1 - Airplane\ 2 = 0

This gives

44800 - 3100m - 2500m = 0

44800 - 5600m = 0

Collect Like Terms

5600m = 44800

m = 44800/5600

m = 8\ min

Substitute 8 for m in

Airplane\ 1 = 44800 - 3100m

Airplane\ 1 = 44800 - 3100 * 8

Airplane\ 1 = 44800 - 24800

Airplane\ 1 = 20000\ ft

Method 3:

We have that:

Airplane\ 1 = 44800 - 3100m

Airplane\ 2 = 2500m

Since they are to be at the same altitude, then

The ratio of their altitudes must be 1

i.e.

\frac{Airplane\ 1}{Airplane\ 2} = 1

\frac{44800 - 3100m}{2500m} = 1

Cross Multiply

44800 - 3100m = 1 * 2500m

44800 - 3100m = 2500m

Collect Like Terms

44800 = 2500m + 3100m

44800 = 5600m

5600m = 44800

m = 44800/5600

m = 8\ min

Substitute 8 for m in

Airplane\ 1 = 44800 - 3100m

Airplane\ 1 = 44800 - 3100 * 8

Airplane\ 1 = 44800 - 24800

Airplane\ 1 = 20000\ ft

Hence;

<em>Their altitudes must be 20000ft</em>

<em>Though the three methods applied uses the same logic at some point, the first method applied is still the easiest and it is a straight forward method that could be applied in solving the question.</em>

<em>Method 3 is the most difficult.</em>

7 0
3 years ago
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