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Lynna [10]
2 years ago
8

Solve for x 5x−2≥6 Give your answer as an improper fraction in its simplest form.

Mathematics
1 answer:
Kipish [7]2 years ago
6 0
In the simplest form X= 8/5
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The perimeter of the triangle at the right is 22.6 in. What is the value of n?
blagie [28]

Answer:

A. 3.5

Step-by-step explanation:

The perimeter is just the sum of all of the side lengths. The sides of this triangle are n inches, (n + 5.2) inches, and (2n + 3.4) inches.

So, your equation is n + n + 5.2 + 2n + 3.4 = 22.6 inches.

You can combine like terms (adding together all of the n's and all of the numbers) to simplify your equation to 4n + 8.6 = 22.6 inches.

Subtract 8.6 from both sides of the equation to get 4n = 14, and divide both sides by 4 to get n = 3.5.

Hope this helps! :)

8 0
2 years ago
1. What is the slope-intercept form and what information does it give you?
Leokris [45]
The slope-intercept form<span> is simply the way of writing the equation of a line so that the </span>slope<span> </span><span>Often, this </span>form<span> is called y = mx + b 
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4 0
3 years ago
Read 2 more answers
Simplify the ratio of<br> 35 : 14
Ne4ueva [31]

Answer:

5:2

Step-by-step explanation:

divide both numbers by 7

hope this helps...

3 0
3 years ago
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You earn $28 for washing 4 cars. How much do you earn for washing 3 cars?
a_sh-v [17]

Answer:

21 dollars

Step-by-step explanation:

8 0
3 years ago
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Write the polynomial in factored form as a product of linear factors f(r)=r^3-9r^2+17r-9
adelina 88 [10]

Answer:

  f(r) = (x -1)(x -4+√7)(x -4-√7)

Step-by-step explanation:

The signs of the terms are + - + -. There are 3 changes in sign, so Descartes' rule of signs tells you there are 3 or 1 positive real roots.

The rational roots, if any, will be factors of 9, the constant term. The sum of coefficients is 1 -9 +17 -9 = 0, so you know that r=1 is one solution to f(r) = 0. That means (r -1) is a factor of the function.

Using polynomial long division, synthetic division (2nd attachment), or other means, you can find the remaining quadratic factor to be r^2 -8r +9. The roots of this can be found by various means, including completing the square:

  r^2 -8r +9 = (r^2 -8r +16) +9 -16 = (r -4)^2 -7

This is zero when ...

  (r -4)^2 = 7

  r -4 = ±√7

  r = 4±√7

Now, we know the zeros are {1, 4+√7, 4-√7), so we can write the linear factorization as ...

  f(r) = (r -1)(r -4 -√7)(r -4 +√7)

_____

<em>Comment on the graph</em>

I like to find the roots of higher-degree polynomials using a graphing calculator. The red curve is the cubic. Its only rational root is r=1. By dividing the function by the known factor, we have a quadratic. The graphing calculator shows its vertex, so we know immediately what the vertex form of the quadratic factor is. The linear factors are easily found from that, as we show above. (This is the "other means" we used to find the quadratic roots.)

7 0
3 years ago
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