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myrzilka [38]
3 years ago
6

Factor the algebraic expression -18y - 27

Mathematics
2 answers:
Tanya [424]3 years ago
6 0

Answer:

Step-by-step explanation:

ruslelena [56]3 years ago
6 0

Answer:

Step-by-step explanation:

-18y = (-1) * 3 * 3 * 2 * y

-27 = (-1) * 3 * 3 * 3

Common factors = (-1) * 3 * 3 = - 9

-18y - 27 = -9*2y - 9 * 3

             =(-9) [2y + 3]

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3. How is the Fundamental Theorem of Algebra true for quadratic polynomials?
myrzilka [38]

Answer:

Step-by-step explanation:

Theorm-The Fundamental Theorem of Algebra: If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.

Let's verify that the Fundamental Theorem of Algebra holds for quadratic polynomials.

A quadratic polynomial is a second degree polynomial. According to the Fundamental Theorem of Algebra, the quadratic set = 0 has exactly two roots.

As we have seen, factoring a quadratic equation will result in one of three possible situations.

graph 1

The quadratic may have 2 distinct  real roots. This graph crosses the

x-axis in two locations. These  graphs may open upward  or downward.

graph 2

It may appear that the quadratic  has only one real root. But, it  actually has one repeated root.  This graph is tangent to the x-axis  in one location (touching once).

graph 3

The quadratic may have two  non-real complex roots called  a conjugate pair. This graph will  not cross or touch the x-axis, but  it will have two roots.

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=3y%20-%205x%20%3D%2010" id="TexFormula1" title="3y - 5x = 10" alt="3y - 5x = 10" align="absmid
kompoz [17]

Answer:

\dfrac{5}{3}

Step-by-step explanation:

To find the gradient (slope) of the given <u>linear relation</u>, use <u>arithmetic operations</u> to isolate y:

Given relation:

3y-5x=10

Add 5x to both sides:

\implies 3y-5x+5x=10+5x

\implies 3y=5x+10

Divide both sides by 3:

\implies \dfrac{3y}{3}=\dfrac{5}{3}x+\dfrac{10}{3}

\implies y=\dfrac{5}{3}x+\dfrac{10}{3}

<u>Slope-intercept form of a linear equation</u>

y = mx+b

where:

  • m is the slope (gradient)
  • b is the y-intercept

Comparing the rewritten equation with the slope-intercept formula, the gradient (slope) of the given linear relation is ⁵/₃.

Learn more about linear equations here:

brainly.com/question/27317293

brainly.com/question/27781455

7 0
2 years ago
Read 2 more answers
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Degger [83]
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3 0
3 years ago
Read 2 more answers
What compound inequality describes this graph
nadezda [96]

Answer:

0≥x<4

Step-by-step explanation:

first, let's look at this number line.

there is a closed circle at 0 and an open circle at 4. this means that 0 is included (≤ or ≥) and that 4 is not included (< or >).

these are the endpoints, meaning that in this compound inequality, the numbers next to the symbols are 0 and 4.

x is in the middle of this compound inequality.

0    x    4

now, we have to figure out the symbols in between. i wrote out our choices above for each number. the highlighted portion is greater than or equal to 0 and less than 4, so we can write this compound inequality as the following:

0≥x<4

x is greater than or equal to 0, but less than 4

4 0
3 years ago
elect the proper interpretation of a confidence interval for a mean at a confidence level of C % . a range of values produced by
Gnesinka [82]

Answer:

a range of values such that the probability is C % that a rndomly selected data value is in that range

Step-by-step explanation:

complete question is:

Select the proper interpretation of a confidence interval for a mean at a confidence level of C % .

a range of values produced by a method such that C % of confidence intervals produced the same way contain the sample mean

a range of values such that the probability is C % that a randomly selected data value is in that range

a range of values that contains C % of the sample data in a very large number of samples of the same size

a range of values constructed using a procedure that will develop a range that contains the population mean C % of the time

a range of values such that the probability is C % that the population mean is in that range

4 0
3 years ago
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