Identify the constant proportionality: k=

Answer:

12+9=21

Step-by-step explanation:

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:

A

Step-by-step explanation:

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:

Y=0/0

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

Answer:

A or B

Step-by-step explanation:

Answer:

(0,-3)

Step-by-step explanation:

Apex

Answer:

I think FC but not sure

Step-by-step explanation:

the respn os that we looc at both sides f the line and see what the letters are

Answer:

DB

Step-by-step explanation:

just did it got it correct

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:

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:

a

Step-by-step explanation:

Answer:

c = 29.5 or

c = 59/2

Step-by-step explanation:

2 (4 + c) = 67

8 + 2c = 67

8 - 8 + 2c = 67 - 8

2c = 59

c = 29.5

Answer:

at 3

Step-by-step explanation:

because iin a number line we have positives and negatives if rlR is at nine then S is at 3

Answer:

I’m joining rn does it still work?

Step-by-step explanation:

Answer:

$36

Step-by-step explanation:

Tristan paid $50 for the tickets of the school play and was given $23 as change. The amount Tristan paid for the ticket is given as:

Price for ticket = amount paid - change = $50 - $23 = $27

Price for ticket = $27

Given that the ticket was sold at 25% off. Let x be the original price of the ticket, therefore:

x - 25% of x = $27

x - 0.25x = 27

0.75x = 27

x = 27/ 0.75

x = 36

Therefore the original price of the ticket is $36

Answer:

27.00

Step-by-step explanation:

The volume of box at x = 4 is, 100 cubic units

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

We have to given that;

The volume of the box is modeled by the function,

⇒ V (x) = 5x² + 5x

Now, At x = 4;

The volume of the box is,

⇒ V (x) = 5x² + 5x

⇒ V (4) = 5 × 4² + 5 × 4

⇒ V (4) = 5 × 16 + 20

⇒ V (4) = 80 + 20

⇒ V (4) = 100 cubic units

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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:

14

Step-by-step explanation:

because 6+6 is 12 and add 2 is 14

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.

I'm sorry the photo is on a side. I'm too lazy to text it on here lol

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:

5^9

Step-by-step explanation:

subtract them. base (5) stays the same

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:

a statement that two numbers or geometric figures are congruent.

Step-by-step explanation:

Rate me please

Answer:

Definition of congruent is related to two numbers or shapes that may be equal. Congruent is like equal something can’t be congruent if it’s not equal.

Step-by-step explanation:

Answer:

b

Step-by-step explanation: