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Alex777 [14]
2 years ago
6

3(b + 5) = 4(2b - 5)

Mathematics
2 answers:
hichkok12 [17]2 years ago
8 0

Answer:

b= 7

Step-by-step explanation:

3b +15 = 8b -20

-8b

-5b = -35

/-5

b= 7

nikklg [1K]2 years ago
6 0

Answer:

b = 7

Step-by-step explanation:

3 ( b + 5 ) = 4 ( 2b - 5 )

The first thing to do is to distribute, using the distributive property.

3 ( b + 5 ) = 4 ( 2b - 5 )

3b + 15 = 8b - 20

whichever side has the highest x value subtract or add the common numeral from.

3b + 15 = 8b - 20

+ 20 + 20

3b + 35 = 8b

then subtract or add the smaller value of x.

3b + 35 = 8b

- 3b - 3b

35 = 5b

Then we divide both sides by the number next to the variable

5b / 5

35 / 5

Now you have the final solution using those numbers

b = 7

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5 0
3 years ago
If the standard deviation for a set of data is​ 0, which of the following must be​ true?
luda_lava [24]

Answer:

C. All of the data values are identical.

Step-by-step explanation:

If the standard deviation for a set of data is​ 0, then all of the data values are identical.

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7 0
3 years ago
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
Help help help help help help help
sdas [7]
It would be 120.

Look at the first column, 40. It’s basically multiplication and you can just use a calculator.

For example, 40 x 1 = 40,
And if you looks the second column, it’s being multiplied by 2. Which would be 40 x 2, you just have to multiply 3 x 40 which is 120.

Sorry for my english

7 0
2 years ago
Which of the following triangles are impossible? Check all that apply. a triangle with angles of 28º, 72º, and 80º a triangle wi
katrin2010 [14]

Answer:

a triangle with angles of 13, 48, and 131 degrees

Step-by-step explanation:

All the triangles equal to 180

7 0
3 years ago
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