A drink was spilled on the math problem shown below. 67.5 times 4.Blank = blank.50 Ron remembers that the second factor was a decimal. Based on the placement of the decimals in the first factor and the product, which must be true of the second factor?

Answer:

The function [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] has a zero: [tex]x = 2[/tex], and two poles: [tex]x = 0[/tex] and [tex]x = 5[/tex].

Step-by-step explanation:

Let be [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] a rational function armed with polynomial function. We proceed to factor the expression to the find the zeros and poles of the rational function:

1) [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] Given

2) [tex]f(x) = \frac{(x + 2)\cdot (x-2)}{x\cdot (x^{2}-3\cdot x -10)}[/tex]  [tex]a^{2} - b^{2} = (a + b)\cdot (a - b)[/tex]/Associative, commutative and distributive properties.

3) [tex]f(x) = \frac{(x+2)\cdot (x-2)}{x\cdot (x-5)\cdot (x+2)}[/tex] [tex]x^{2} -(a+b)\cdot x + a\cdot b = (x-a)\cdot (x-b)[/tex]

4) [tex]f(x) = \frac{x-2}{x\cdot (x-5)}[/tex] Commutative property/Existence of multiplicative inverse/Modulative property/Result

The function [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] has a zero: [tex]x = 2[/tex], and two poles: [tex]x = 0[/tex] and [tex]x = 5[/tex].

Answer:

[tex]6^{-5}[/tex]

Step-by-step explanation:

lmk if its right :)

Step-by-step explanation:

the value of three is three(3)

Answer:

Step-by-step explanation:

answer below

Answer: 4/15

Step-by-step explanation: Total Cars to be produced in three Shifts = 210

Fraction of total cars to be produced in First Shift = 2/5

Fraction of total cars to be produced in second Shift = 1/3

Summation of all the fractions of total cars to be produced in all the three shifts should be equal to 1

Hence, fraction of total cars to be produced in third Shift = 1- (2/5) - (1/3)

= ( 15 - 6 - 5)/15 ( taking LCM of 5&3)

= 4/15

[tex]4( \frac{1}{5} x + 7) = 2x - 2[/tex]

[tex]x = 25[/tex]

Answer:

c

Step-by-step explanation:

This is a parabola, so it is a quadratic parent function.

Answer:

false negatives - 2%

false positives - 3%

Step-by-step explanation:

Here is the complete question :

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

% of results will be false negatives, and % of results will be false positives.

False negative means a negative result which in actuality it is positive

False negative = 100% - percent of positive result

100% - 98% = 2%

False positive result means a positive result which in actuality is negative

False positive = 100% - percent of false positive

100 - 97 = 3%

Answer:

59°

Step-by-step explanation:

The angles of a triangle equal 180°.

Also the angle of a straight line is 180°.

So you first find the missing bottom angle by taking 180-147 to equal 33.

Then you take 33+88+x=180

solve for x by subtracting 88 and 33 from 180 to equal 59.

Answer:

59°

Step-by-step explanation:

180 - 147 = 33

88 + 33 = 121

180 - 121 = 59

Answer:

B. sometimes

Step-by-step explanation:

Consecutive angles of a parallelogram are same side interior angles of two parallel lines cut by a transversal, so they are always supplementary.

Supplementary angles are two angles whose measures add to 180 deg.

If two angles are supplementary and one angle measures 90, then the other angle also measures 90 deg, and the two angles are congruent. If one angle measures less than 90 deg, then the other measure more than 90 deg and are not congruent. Therefore, these angles may or may not be congruent.

Answer: sometimes

Answer:

option A

Step-by-step explanation:

[tex]\frac{x^a}{x^b} = x^{a-b}[/tex] , [tex]z^0 = 1[/tex]

So,

[tex]\frac{18x^5 y}{6xy^8z^0} = \frac{18}{6} \times x^{5 -1} \times y^{1-8} = 3 x^4 \times y^{-7} = \frac{3x^4}{y^7}[/tex]

Answer:

67.5

Step-by-step explanation:

The sum of the interior angles is 540, therefore

540 = 90 + 4y

540 - 90 = 4y

450 = 4y

450 / 4 = y

112.5 = y

X and Y together equal 180, therefore

180 = x + 112.5

180 - 112.5 = x

67.5 = x

Answer:

The intercept is the coordinate by which a line crosses the x or y-axis. in the slop-intercept form, the intercept is for the y-axis and is included at the end of the formula as 'b,' bound by either adding or subtracting. Ex. y= 2x+6. y-intercept=6

Answer:

C = (4,4)

It is (4,4) because it means that it is twice as large as the original coordinates.

Answer:

a. $1.50 per pound of weight.

b. C

Step-by-step explanation:

a. explanation:

1. pounds is increasing by +4 and dollars are increasing by +6.00

 2. as a fraction it is 6/4.

  3. simplified is 1 1/2 or 1.50

b. explanation

1. we know that the slope (or rate of change) is $1.50 /per pound of weight.

 2. 4 - 4 = 0; $11.00 - 6.00 = $5.00

  3. 0, $5.00

   4. The y-int. is $5.00

    5. answer is C

Answer:

y = 2/5x - 4

Step-by-step explanation:

y = mx+b  where m is the slope and b is the y intercept

y = 2/5x - 4

Answer:

D. 4 / ( x - 9 )

Step-by-step explanation:

4 ( x - 2 ) / ( x - 2 ) ( x - 9)

= 4 / ( x - 9 )

Answer:

336 cm²

Step-by-step explanation:

Given a dilatation by a factor of 2 then the area factor is 2² = 4

area of figure = 4 × 84 = 336 cm²

Answer:

98 degrees

Step-by-step explanation:

We know that H is the same as G because the sides are marked equal.

41 + 41 = 82

In a triangle the measure of degrees in total is 180.

180 - 82 = 98

Answer:

sometimes

Step-by-step explanation:

Answer:

35 cm

Step-by-step explanation:

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

h = 147x2 / (5.3 + 3.1) = 35cm

The slope of the function showing by table is,

⇒ m = - 6

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The table represents a linear function.

Let Two points on the line are (- 2, 8) and (- 1, 2).

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (2 - 8) / (-1 - (-2))

m = - 6 / 1

m = - 6

Thus, The slope of the function showing by table is,

⇒ m = - 6

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Answer:B

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Algebraic Method: Find Z-Score for Exam A

[tex]z=\frac{x_A-μ_A}{σ_A}[/tex]

​[tex]z=\frac{510-550}{40}[/tex]

​[tex]z=\frac{-40}{40}[/tex]

[tex]z=-1[/tex]

Addison scored 1 standard deviation below the mean.

Plug Z into formula for Exam B:

[tex]-1\frac{x_B-26}{5}[/tex]

[tex]-5=x_B-26[/tex]

[tex]21=x_B[/tex]

Addison would have to score 21 on Exam B

Answer:

um I think its 14

Step-by-step explanation:

B. [tex]2( \sqrt{x} + \sqrt{x - 2} )[/tex] ✅

Step-by-step explanation:

[tex] \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \\\\ = \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \times \frac{ \sqrt{x} + \sqrt{x - 2} }{ \sqrt{x} + \sqrt{x - 2} } \\ \\ = \frac{4( \sqrt{x}) + 4( \sqrt{x - 2} )}{( { \sqrt{x} )}^{2} - { (\sqrt{x - 2} })^{2} } \\ \\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - (x - 2)} \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - x + 2} \\ \\ = \frac{4( \sqrt{x} + \sqrt{x - 2} ) }{ 2} \\ \\= 2( \sqrt{x} + \sqrt{x - 2} )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

the answer would be 384 dollars

Answer:

29 times

Step-by-step explanation:

Given :

Society X ;

Population = 100

Number of facts known = 10

Average fact known per person = known fact / population = 10 / 100 = 0.1

Society X:

Population = 19

Common fact known by 9 = 5

Specialized fact, known by 10 = 5 * 10 = 50

Total facts = common + specialized = 55

Average fact known per person = 55 / 19 = 2.8947368 fact per person

Number of times society Z is better :

2.8947368 / 0.1 = 28.947 times

Approximately 29 times

Step-by-step explanation:

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Answer:

x +(2x + 3) = 33

Step-by-step explanation:

two equations can be derived from the question

c = 3 + 2x equation 1

c + x = 33 equation 2

where :

c =  cappuccinos

x =  lattes

make c the subject of the formula in equation 2

c = 33 - x equation 3

equate 3 and 1

x +(2x + 3) = 33

Answer:

84

Step-by-step explanation: