Which statement describes the rate of change of the following function?
f(x) = -2x + 9

A.
The function has a varying rate of change when x 9.
C.
The function has a constant rate of change, decreasing for all x at a rate of 2.
D.
The function has a constant rate of change, increasing for all x at a rate of 9.

Answer:

The simplified form is  [tex]\frac{6}{5x^{10} }[/tex] ⇒ A

Step-by-step explanation:

Let us solve the question

∵ The expression is [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex]

→ At first, divide simplify the coefficient of the variable

∵ [tex]\frac{72}{50}=\frac{36}{25}[/tex]

∵ 36 = 6 × 6 and 25 = 5 × 5

→ 6 and 5 repeated twice then the can go out the root one 6 and one 5

∴ [tex]\sqrt{\frac{36}{25}}=\frac{6}{5}[/tex]

→ Let us use the exponent rule with division [tex]\frac{a^{m} }{a^{n}}=a^{m-n}[/tex]

∵ [tex]\frac{x^{16}}{x^{36}}=x^{(16-36)}=x^{-20}[/tex]

→ To cancel the root divide the power by 2

∵ -20 ÷ 2 = -10

∴ [tex]\sqrt{x^{-20}}=x^{-10}[/tex]

∴  [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]x^{-10}[/tex]

→ To change the power of x from (-) to (+) reciprocal x

∴ [tex]x^{-10}=\frac{1}{x^{10}}[/tex]

∴  [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5x^{10} }[/tex]

∴ The simplified form is  [tex]\frac{6}{5x^{10} }[/tex]

Answer:

see explanation:

Step-by-step explanation:

We use the property that  (all numbers being positive)

0 < a < b < c  -->  0< a^2 < b^2 < c^2

so:

1 <  2 <   sq(7)   < 3 < 4 <  5            

1 <  4 <  7   < 9 < 16 < 25      

Answer:

You convert the fractions to a decimal, nut the rest is still the same

Step-by-step explanation:

Answer:

Step-by-step explanation:

external angles are equal

therefore, x = 135

Answer:

1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S             b. Given

2. ∠1 ≅ ∠2                                                            e. Definition of angle bisector

3. Segment TQ ⊥ Segment RS                          a. Definition of perpendicular

4. Triangle RTQ congruent to Triangle STQ     c. AAS

5. ∠3 ≅ ∠4                                                            d. CPCTE

6. TQ ≅ TQ                                                           f. Reflexive

Step-by-step explanation:

Good luck on the rest of your assignment!

Answer: Answer:

1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S             b. Given

2. ∠1 ≅ ∠2                                                            e. Definition of angle bisector

3. Segment TQ ⊥ Segment RS                          a. Definition of perpendicular

4. Triangle RTQ congruent to Triangle STQ     c. AAS

5. ∠3 ≅ ∠4                                                            d. CPCTE

6. TQ ≅ TQ                                                           f. Reflexive

Step-by-step explanation:

Good luck on the rest of your assignment!

Answer:

1254.32

Step-by-step explanation:

add and subract

Answer:

The relationship is not proportion because the value of [tex]\frac{y}{x}[/tex] is not equivalent for each point in the relationship ⇒ C

Step-by-step explanation:

Let us use the information, above to solve the question

→ From the given graph

∵ The coordinates of the points are (1, 10), (2, 20), (4, 25), (6, 40)

∵ The equation of proportion is [tex]\frac{y}{x}[/tex] = k

→ Let us check if all the points satisfy the equation or not

∵ x = 1 and y = 10

∴ [tex]\frac{10}{1}[/tex] = k

∴ 10 = k

→ Check the other points if they give the same value of k or not

∵ x = 2 and y = 20

∴ [tex]\frac{20}{2}[/tex] = k

∴ 10 = k

∵ x = 4 and y = 25

∴ [tex]\frac{25}{4}[/tex] = k

∴ [tex]\frac{25}{4}[/tex] = k

∵ x = 6 and y = 40

∴ [tex]\frac{40}{6}[/tex] = k

∴ [tex]\frac{20}{3}[/tex] = k

∵ Not all points satisfy the same value of k

∴ The relation does not represent a proportional relation

The relationship is not proportion because the value of [tex]\frac{y}{x}[/tex] is not equivalent for each point in the relationship.

Answer:

I’m joining rn does it still work?

Step-by-step explanation:

Answer:

i really have no clue what ur asking so i will solve this the way i know how to

Step-by-step explanation:

4x^2+12x+5

Answer: 7

Of all the numbers listed, the number 7 is the greatest. If you are asking for the farthest from sea level, it is 7 because of the fact that it is the greatest number.

The answer is 7. Hope this helps!

Answer:

sea level is 0 so it would be 7

Answer:

[tex]\frac{x-2}{5}[/tex]

Step-by-step explanation:

The inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The inverse function is calculated as:-

y = 5 ( x - 2 )

Replace the variables with each other in the equation.

x = 5 ( y - 2 )

( x/5 ) = y - 2

y = ( x/5 ) + 2

Therefore, the inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].

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Answer:

y=-3x-10.5

Step-by-step explanation:

Let's use the first set of numbers.

-7.5 and 12

-3.5 and 0

Our rise here is -12 and run is 4.  So, our slope is -3.

Now we just need our intercept.

y = mx + b

y = -3x + b

0 = -3(3.5) + b

b = -10.5

The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The table represents some points on the graph of a linear function.

 х           у

-7.5        12

-3.5        0

  -1       -7.5

  2       -16.5

3.5       -21

Take two points from the table, then the points are (-7.5, 12) and (-3.5, 0). Then the equation of the line is given as,

y - 0 = [(-3.5 + 7.5) / (0 - 12)](x + 3.5)

y = - (1/3)(x + 3.5)

3y = - x - 3.5

x + 3y + 3.5 = 0

The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.

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Answer:

I would say about 13 minutes.

Step-by-step explanation:

9 4/5 KPH is about 6.1224489795918 Kilometers per minute

Multiply by 2 1/5 KPM

6.1224489795918 x 2 1/5 = 13.4693877551 Minutes

Answer: 13.469 or about 13.5 minutes

Step-by-step explanation:

Estimating part:

The first number can be rounded to 10, and second number to 2

You can set up a proportional equation

[tex]\frac{10 kilometers}{60 minutes} = \frac{2 kilometers}{x}[/tex]

then cross multiply to get 10x=120, then divide to get x = 12 minutes

Exact answer:

I like making fractions into decimals to make it easier to see

The first number as a decimal is 9.8, and the second is 2.2

Set up another proportional equation

[tex]\frac{9.8 kilometers}{60 minutes} = \frac{2.2 kilometers}{x}[/tex]

cross multiply to get 9.8x = 132

divide by 9.8 on both sides to get x = 13.5 minutes

Answer:

h

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

Given: Number of mango guava and sapota are supplied 108,84 and 60 respectively.

Since, 108 = 2 x 2 x 3 x 3 x 3

84 =  2 x 2 x 3 x 7

60 = 2 x 2 x 3 x 5

HCF(108,84,60) = 2 x 2 x 3 [HCF=Highest common factors]

= 12

Greatest number of plants in each row = 12

Number of rows for mango = [tex]\dfrac{108}{12}=9[/tex]

Number of rows for guava = [tex]\dfrac{84}{12}=7[/tex]

Number of rows for sapota = [tex]\dfrac{60}{12}=5[/tex]

Total rows = 9+7+5= 21

Hence, the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted​ = 21

Answer:

D: 3

Step-by-step explanation:

2 is not a factor of three

The number 3 can not be the common denominator for 2/3 and 1/2. The correct option is D.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. The number of components of a specific size is expressed as a fraction.

The fractions will have all the numbers 18, 12, and 6 as the common denominator but can not have 3 as a common denominator.

Therefore, the number 3 can not be the common denominator for 2/3 and 1/2. The correct option is D.

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Answer:

I'm not 100% sure if I did it right but I got x=1

Step-by-step explanation:

They are equal to each other cause it is an isosceles triangle

10x-3=5x+2

add the 3 to both sides

10x=5x+5

subtract the 5x from both sides

5x=5

divide the 5 from both sides

x=1

Answer:

Equals

Step-by-step explanation:

You need to know the conversion rate for tons to pounds. 1 ton is equal to 2000 lbs so the answer is =.

Answer:

Y=0/0

Step-by-step explanation: since their is no fall or rise in the slope it is 0

Answer:

S = 2w( 5w + 6h)

Step-by-step explanation:

given:

S = 2(lw + lh + wh)

if l = 5w, then we simply substitute this into the expression above.

S = 2[   lw   +   lh   +   wh  ]

S = 2[   (5w)w   +   (5w)h   +   wh  ]

S = 2[   5w²   +   5wh  +   wh  ]      

S = 2( 5w²   +   6wh)         simplify by factoring out w

S = 2w( 5w + 6h)

Answer:

y=-7

Step-by-step explanation:

With a slope of zero there will be no x so you delete the slope from the equation y=0x-7 would become y=-7.

Answer:

Answer

5.0/5

8

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Answer:

y = 7 is the equation of the line that passes through the point ( -2, 7 ) and has a slope of zero.

Step-by-step explanation:

Given:

Let,

A ≡ ( x1 , y1 ) ≡ ( -2, 7 )

Slope = m = 0

To Find :

Equation of Line:

Solution:

Formula for , equation of a line passing through a point (  x1 , y1 ) and having a slope m is given by

Now substituting the values of x1 = -2 and y1 = 7 and slope m = 0 we get,

Which is the required equation of a line passing through the point ( -2, 7 ) and slope zero

Step-by-step explanation:

Answer:

The answer is Y=8.5+0.18x

Step-by-step explanation:

Given data

Let the flat fee be $8.5

Let the additional fee per ounce be $0.18

Let the total amount to mail the package be y

Therefore the total amount is

Y=8.5+0.18x

The function is Y=8.5+0.18x

Answer:

x= -2

Step-by-step explanation:

2= -3(x)-4

6= -3x

-2= x

Answer:

-15

Step-by-step explanation:

35+25=60

60-50=10

10-25=-15

Answer:217

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

The axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We know the vertex form of the parabola is:

y = a(x - h)² + k

Given,

h = 3

k = 5

y = a(x - 3)² + 5

The axis of symmetry:

x - 3 =0

x = 3

Thus, the axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.

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Answer:

5

Step-by-step explanation:

if you add $1.50 +50 cents its $2.00 count by 2's until you get

to 10 and thats 5 how i got 50 cents 25 cents for a half mile

25+25 is 50.

Answer:

$2855.46

Step-by-step explanation:

$27,174.25 - $24,318.79= $2855.46