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4 years ago

Simplify the following expression. −3√84x3

Mathematics

1 answer:

prisoha [69]4 years ago

8 0

Answer:

-18root7

Step-by-step explanation:

-3root 84*3

-3root4*7*3*3

-3(2*3)root7

-18root7

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How much is 36 nickels 24 dimes 19 quarters and 15 fifty cent?

FromTheMoon [43]

Fifty Cent = 50 cents

Quarter = 25 cents

Dime = 10 cents

Nickel = 5 cents

__________________________________________________________________

15 Fifty Cent coins = 7.50 dollars

19 Quarters = 4.75 dollars

24 Dimes = 2.40 dollars

36 Nickels = 1.80 dollars

__________________________________________________________________

Total: $16.45

Hope that helps!

3 0

4 years ago

Find the equation of the line.

JulsSmile [24]

Answer: y = 2x + 5

Explanation:

The slope (number before x) is rise (change in y)/run (change in x). The rise is 6 and the run is 3, so the slope is 6/3, or 2.

The second blank is the y-intercept, or where the line crosses the vertical axis. This point is at 5.

Hope this helps!

4 0

3 years ago

(1.1/1.2: Interpolating polynomials) Say we want to find a polynomialf(x) ofdegree 3,f(x) =a0+a1x+a2x2+a3x3,satisfying some inte

Hunter-Best [27]

(a) If

f(x) = a₀ + a₁ x + a₂ x ² + a₃ x ³

then from the given conditions we get the system of equations,

f (-1) = a₀ - a₁ + a₂ - a₃ = -1

f (1) = a₀ + a₁ + a₂ + a₃ = 2

f (2) = a₀ + 2a₁ + 4a₂ + 8a₃ = 1

f (3) = a₀ + 3a₁ + 9a₂ + 27x ³ = 5

(b) Similarly, if

f(x) = a₀ + a₁ x + a₂ x ² + a₃ x ³

then

f'(x) = a₁ + 2a₂ x + 3a₃ x ²

so that the given conditions yield the system,

f (1) = a₀ + a₁ + a₂ + a₃ = 0

f' (1) = a₁ + 2a₂ + 3a₃ = 2

f (2) = a₀ + 2a₁ + 4a₂ + 27a₃ = 3

f' (2) = a₁ + 4a₂ + 12a₃ = -1

7 0

3 years ago

The second group of trainee astronauts are all sitting around the table, waiting to start their first day of training.

nexus9112 [7]

Answer:

Seat 1: Peter
Seat 2: Lia
Seat 3: Kenny
Seat 4: Jennie
Seat 5: Harvey
Seat 6: Joyce
Seat 7: Rick
Seat 8: Mark

Step-by-step explanation:

From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)

Seat 4: Jennie
Seat 5: Harvey

From Rule 2: Peter is across from Harvey.

Since Seat 5 is across from Seat 1

Seat 1: Peter

From Rule 7: Peter is next to Lia.

Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.

Seat 2: Lia

By Rule 5: Lia is next to Kenny, therefore:

Seat 3: Kenny

From Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.

Seat 7 is across from Seat 3, therefore:

Seat 7: Rick

Since Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)

Seat 6: Joyce

Therefore, we have:

Seat 1: Peter

Seat 2: Lia

Seat 3: Kenny

Seat 4: Jennie

Seat 5: Harvey

Seat 6: Joyce

Seat 7: Rick

Since Mark has the remaining seat, Mark is on Seat 8.

4 0

3 years ago

What is the range of the function represented by the graph? {0,1,2,3} {1,2,3,4} 1

Minchanka [31]

Answer:

number 3

Step-by-step explanation:

6 0

3 years ago