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Snowcat [4.5K]
4 years ago
14

Select the correct statements from the table.

Mathematics
2 answers:
Aleks04 [339]4 years ago
8 0

Answer:

9x²-6x+1 divided by 5x+7:

This is a rational expression because the denominator contains a variable.

This is a polynomial with 3 terms

Explanation:

The only statement that is true is:

9x²-6x+1 divided by 5x+7:

This is a rational expression because the denominator contains a variable.

This is a polynomial with 3 terms.

Variables are represented as 'letters' in mathematics. Since the equation is divided by 5x+7, this shows that the expression is rational i.e a fraction and the denominator 5x+7 contains a variable which is 'x'

The polynomial function here is the function at the numerator i.e 9x²-6x+1 and this contains 3terms. The three terms are 9x², -6x and 1.

GarryVolchara [31]4 years ago
3 0

Answer:

Step-by-step explanation:

a)4x^3 -7x+2

This is not a rational expression.

This is a polynomial with 3 terms.  

b)3x^5+4x-6

This is not a rational expression because the denominator is constant =1

This is a polynomial with 3 terms.

c)(7x^2+3)(5x+1)

This is not  a rational expression because the denominator =1, a constant. This is a polynomial with 4 terms.

d)9x^2-6x+1 divided by 5x+7

This is a rational expression because the denominator contains a variable.  

e) 8x^4-x^3+6x^2-3x+9

This is not a rational expression because the denominator contains a constant 1

This is a polynomial with 5 terms.

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The solution set to 6 + 2n > 12 is n > 3. Which are the correct representations of this solution? Select two options.
Alina [70]

The correct representation of 6 + 2n > 12 (n > 3) is  (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation::

6 + 2n > 12

Subtracting 6 from both sides:

6 + 2n - 6 > 12 - 6

2n > 6

Dividing by 2:

n > 3

The correct representation of 6 + 2n > 12 (n > 3) is  (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.

Find out more on equation at: brainly.com/question/2972832

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What is the solution to the system of equations?<br><br> {2x+3y=23<br> 4x−5y=13
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4 years ago
10 exponent negative 9 divided by 10 exponent negative 3
anygoal [31]
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10) Given that two tangent lines are constructed from the shared point A outside a circle with the center O and points of tangen
lora16 [44]
Those two angles are congruent.

_____
The angles are corresponding parts of congruent triangles (CPCT). Triangles OBA and OCA are right triangles congruent by the HL postulate. The "H" is segment OA. The "L" is the radius, OB or OC. Of course the angles at B and C are 90° as with any radius and tangent line.
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3 years ago
Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b
garri49 [273]

Answer:

b = - 21

Step-by-step explanation:

calculate m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (- 6, 3)

m = \frac{3+5}{-6+4} = \frac{8}{-2} = - 4

y = - 4x + b ← is the partial equation

to find b substitute either of the 2 given points into the partial equation

using (- 4, - 5 ), then

- 5 = 16 + b ⇒ b = - 5 - 16 = - 21


5 0
3 years ago
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