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Anarel [89]
3 years ago
15

P(x) =0.02x³+0.04x²+0.3x+1.2.Evaluate P(18) by direct substitution and by applying the remainder theorm

Mathematics
1 answer:
tatiyna3 years ago
8 0

Answer:

136.2

Step-by-step explanation:

Plugin x = 18 in the polynomial.

P(x) = 0.02x³ + 0.04x² + 0.3x + 1.2

P(18)= 0.02*(18)³ + 0.04*(18)² + 0.3*18 + 1.2

      = 0.02 * 5832  + 0.04*324 + 5.4 + 1.2

      = 116.64 + 12.96 + 5.4 + 1.2

      = 136.2

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Solve the system of equations by the addition method <br> { 5x-y=-3<br> { 4x+3y=-48
Svetach [21]

Answer:

(-3,-12)

Step-by-step explanation:

Multiply the first equation by three to match the second equations y-term

  • 3(5x-y=-3)
  • 4x+3y=-48

  • 15x-3y=-9
  • 4x+3y=-48

The y-terms cancel out

  • 15x=-9
  • 4x=-48

Add the x-terms with each other and the terms after the equal sign as well

  • 19x=-57

Divide -57 by 19

  • x=-3

Input your x-term (-3) into one of the two first equations and multiply

Either:

  • 5(-3)-y=-3 or
  • 4(-3)+3y=-48

  • -15-y=-3 or
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Simplify your terms

  • -y=12
  • 3y=-36

Divide

  • y=-12
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4 0
3 years ago
If the perimeters of each shape are equal, which equation can be used to find the value of x?
Brums [2.3K]

Answer:

(x+2) + x + (x+4) = 2(1/2) + 2(x+3)

Step-by-step explanation:

They are equal to each other and the rectangle has 2x more perimeter

The triangle would be divided in half from that rectangle.

Sorry If this is confusing I am not very good at explaining things.

4 0
3 years ago
Help please. Could the lengths 12 cm, 35 cm, and 37 cm be the side lengths of a right triangle? Explain please
taurus [48]
This is a fairly easy question. Just use the Pythagorean Theorem:

Leg squared + Leg squared = Hypotenuse squared.

In symbols: L² + L² = H²

So if you want to find out if a triangle is a right triangle, just plug in the numbers:

12² + 35² = 37²?

144 + 1225 = 1369?

1369 = 1369, so yes, the lengths of 12 cm, 35 cm, and 37 cm could be the lengths of a right triangle.

Hope I answered your question!

6 0
3 years ago
A machinist can produce 114 parts in 6 minutes. At this rate, how many parts can be produced in 15 minutes?
KonstantinChe [14]

285

just figure out how many is made then multiple that by 15

4 0
3 years ago
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Explain how you know without computing whether the quotient of 1/2 divided by 6 is greater than or less than 1
Ganezh [65]
It is less than 1, because 1/2 is also .5, so that is already less than 1 whole.
Also, any number under 6 divided by 6 (for example: 5 divided by 6, 3 divided by 6) has to be less than one, since 6 can't evenly go into a number lower than it.
6 0
4 years ago
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