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Blababa [14]
4 years ago
13

Solve 2r+3<7 and -r+9≤2​

Mathematics
1 answer:
Yuri [45]4 years ago
3 0

Answer:

r<2

r greater than or equal to 7

Step-by-step explanation:

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Does this graph show a function? Explain how you know.
Eva8 [605]

Answer:

Option C, functions can only have one y-value at any given x-place

7 0
3 years ago
Find the perimeter of the triangle.​
IRISSAK [1]

Answer:

39

Step-by-step explanation:

Alll the sides equal each other because of that curve u see at each angle, that curve means that the angles are the same, having the same angles means same sides, so just pick two equations to do this:

21 - x = 2x -3

add 3 to both sides

24 - x = 2x

add x to both sides

24 = 3x

divide by 3

8 = x

Now input 7 into the equations:

21 - x = 21 - 8 = 13

2(8) - 3 = 16 - 3 = 13

x + 5 = 8 + 5 = 13

Now add: 13 + 13 + 13 = 26 + 13 = 39

Another way for u to save time is remember how i said all the sides were the same? you could just solve one equation, so it'll be 13 and multiply that with 3 to get the perimeter since ur adding 13 three times anyway

So just a simple: 13(3) = 39

4 0
3 years ago
Finding the interpolating polynomial for the function
zhenek [66]

Answer:

  f(x) = x^3 -2x^2 -3x +7

Step-by-step explanation:

Cubic polynomial regression using your favorite tool (graphing calculator, spreadsheet, or web site) will tell you the interpolating polynomial is ...

  f(x) = x^3 -2x^2 -3x +7

_____

You can use Lagrange polynomial interpolation. It gives the function as the sum of four factored cubics:

  f(x)=3\cdot\dfrac{(x-2)(x-3)(x-4)}{(1-2)(1-3)(1-4)}+1\cdot\dfrac{(x-1)(x-3)(x-4)}{(2-1)(2-3)(2-4)}+\\\\\text{ }\qquad7\cdot\dfrac{(x-1)(x-2)(x-4)}{(3-1)(3-2)(3-4)}+27\cdot\dfrac{(x-1)(x-2)(x-3)}{(4-1)(4-2)(4-3)}

Or, you can write equations for the coefficients a, b, c, d of ...

  ax^3 +bx^2 +cx +d = f(x)

These would be ...

  a + b + c + d = 3

  8a +4b +2c +d = 1

  27a +9b +3c +d = 7

  64a +16b +4c +d = 27

Your friendly linear equation solver will tell you ...

  (a, b, c, d) = (1, -2, -3, 7) . . . matches the equation shown above

6 0
3 years ago
Please help it is urgent
Rama09 [41]
The Asteroid X is traveling faster than Perseid 245 because Asteroid X goes 30 distance units per 15 time units and Perseid 245 goes 15 distance units per 20 time units.
3 0
3 years ago
Find an equation of variation in which y varies jointly as x and z and inversely as the product of w and p,
pentagon [3]

The equation of variation in which y varies jointly as x and z and inversely as the product of w and p is y=0.5(xz/wp).

Given that variable y varies jointly as x and z and inversely as the product of w and p,where y=7/28 where x=7,z=4,w=7 and p=8.

We are required to find the equation of variation.

To solve this problem we must apply the following procedure:

1) We have that y varies jointly as x and z and inversely as the product of w and p. Therefore we can write the following equation,where k is the constant of proportionality:

y=k(xz/wp)----------1

Now we have to solve for the constant of proportionality as done under:

k=ywp/xz-------------2

Using the values in equation 1.

k=(7/28)(7)(8)/(7)(4)

=0.5

Using all the values in the equation 2.

y=0.5(xz/wp)

Hence the equation of variance is y=0.5(xz/wp).

Question is incomplete.The following values should be included:

y=7/28 where x=7,z=4,w=7 and p=8.

Learn more about equation at brainly.com/question/2972832

#SPJ4

8 0
2 years ago
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