Identify the recursive formula for the sequence –3, 9, –27, 81, . . . .

Step-by-step explanation:

Sheldon's brother shoveled 2/3 of the driveway

Remaining portion = 1 - ⅔

= (3-2)/3

= 1/3

Sheldon shoveled 3/4 of what was left= ¾ × ⅓

= ¼

Sheldon shoveled ¼ or 0.25 of the driveway

Ahmed shoveled ⁴/5 of half of the driveway = 4/5 × ½

= 2/5

Ahmed shoveled 2/5 or 0.4 of the driveway

0.4 > 0.25

therefore, Ahmed will have the larger area to shovel

Answer:

Ahmed shoveled more

Step-by-step explanation:

you need to do 3/4 - 2/3 which is 1/12 so the you do 1/12 x 3/4 = 3/48

compare with 4/15 and 4/15 is higher so that what you got wrong

Answer:

w^2z^4/y^2

Step-by-step explanation:

Answer:

5/4

Step-by-step explanation:

The original line is

7 - 3 / 4 - 9

4/-5, so the slope is -4/5

Perpendicular means the opposite sign and reciprocal.

5/4

Answer:

12.5% and 60%

Step-by-step explanation:

0.125 x 80 = 10

160-64 = 96

96/160 = 0.6

0.6 x 100 = 60%

[tex]\huge \bf༆ Answer ༄[/tex]

For the given triangles to be congruent by SSS criterion, the sides HJ and LN should be equal ~

therefore correct choice is ~ C

[tex] \large \boxed{ \sf \: HJ \cong LN}[/tex]

The additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN

Recall:

Thus, in the two triangles given, the two triangles has:

Therefore, an additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN

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Answer:

D) 8

Step-by-step explanation:

What the problem is asking you to do is multiply the two expressions and substitute x=3 into the product.

[tex]f(x)=2^x[/tex]

[tex]g(x)=2x-5[/tex]

[tex](f*g)(x)=f(x)g(x)=(2^x)(2x-5)[/tex]

[tex](f*g)(3)=f(3)g(3)=(2^3)(2(3)-5)=(8)(6-5)=(8)(1)=8[/tex]

Therefore, the correct answer is D

Answer:a

Step-by-step explanation:

Answer:

Combine like terms

Step-by-step explanation:

-6x + 1

Answer:

[(x + 6), (y + 1)]

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

For the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane

After point D is reflected across the y-axis, its coordinates are

D(-1, 2) ⇒ D'(1, 2)

This is the point that gets translated to F(-3, -2). The translation is

F -D' = (-3, -2) -(1, 2)

= (-3-1, -2-2)

= (-4, -4)

Then the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

Hence, for the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

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Answer:

Enter a problem...

Precalculus Examples

Popular Problems Precalculus Find the Properties 16x^2+16y^2-16x+24y-3=0

16

x

2

+

16

y

2

−

16

x

+

24

y

−

3

=

0

Add

3

to both sides of the equation.

16

x

2

+

16

y

2

−

16

x

+

24

y

=

3

Divide both sides of the equation by

16

.

x

2

+

y

2

−

x

+

3

y

2

=

3

16

Complete the square for

x

2

−

x

.

Tap for more steps...

(

x

−

1

2

)

2

−

1

4

Substitute

(

x

−

1

2

)

2

−

1

4

for

x

2

−

x

in the equation

x

2

+

y

2

−

x

+

3

y

2

=

3

16

.

(

x

−

1

2

)

2

−

1

4

+

y

2

+

3

y

2

=

3

16

Move

−

1

4

to the right side of the equation by adding

1

4

to both sides.

(

x

−

1

2

)

2

+

y

2

+

3

y

2

=

3

16

+

1

4

Complete the square for

y

2

+

3

y

2

.

Tap for more steps...

(

y

+

3

4

)

2

−

9

16

Substitute

(

y

+

3

4

)

2

−

9

16

for

y

2

+

3

y

2

in the equation

x

2

+

y

2

−

x

+

3

y

2

=

3

16

.

(

x

−

1

2

)

2

+

(

y

+

3

4

)

2

−

9

16

=

3

16

+

1

4

Move

−

9

16

to the right side of the equation by adding

9

16

to both sides.

(

x

−

1

2

)

2

+

(

y

+

3

4

)

2

=

3

16

+

1

4

+

9

16

Simplify

3

16

+

1

4

+

9

16

.

Tap for more steps...

(

x

−

1

2

)

2

+

(

y

+

3

4

)

2

=

1

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

−

h

)

2

+

(

y

−

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

1

h

=

1

2

k

=

−

3

4

The center of the circle is found at

(

h

,

k

)

.

Center:

(

1

2

,

−

3

4

)

These values represent the important values for graphing and analyzing a circle.

Center:

(

1

2

,

−

3

4

)

Radius:

1

image of graph

Solution: 1/3 + 3/5

Take the LCM of 3 and 5 is 15.

⇛(5+9)/15

⇛14/15 in fractional form.

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Answer:

14/15

Step-by-step explanation:

When you simplify a fraction, you have to divide or multiply the numerator(the top number) and the denominator(the bottom number) by the same number. In order to add or subtract two fractions, both have to have the same denominator. The LCD, or least common denominator, of 3 and 5 is 15. 15÷3=5, so you multiply 1/3 by 5 and and 5 to get 5/15. 15÷3=5, so you multiply 3/5 by 3 and 3 to get 9/15. The denominator stays the same when adding or subtracting fractions, and 5+9=14, so the answer is 14/15.

Answer:

A

Step-by-step explanation:

A is locate in the second quadrant

Answer:

(f+g) (x)= -5x-4= (-3x-2)

or, -5x + 3x= -4+2

or, -2x= -2

or,x= 2/2

:. x= 1

Step-by-step explanation:

Answer

20%

Step-by-step explanation:

10.00 is the start wage, 12.00 is the new wage

going from 10 to 12 dollars is a 2 dollar increase

2 dollars is 20% of her original salary, so she is now making 120% of what she previosuly made which is a 20% increase

Answer:

25+25 = 50

sum means +

Integers are positive and negative numbers, no decimals or fractions though

Answer:

[tex]\frac{9x}{y^3}[/tex]

Step-by-step explanation:

[tex]\frac{\left(3x^2y^4\right)^3}{3x^5y^{15}}[/tex]

[tex](3x^2y^4)^3 : 3^3x^6y^1^2[/tex]

= [tex]\frac{3^3x^6y^{12}}{3x^5y^{15}}[/tex]

[tex]\frac{3^{3} }{2} = 3^{2}[/tex]

= [tex]\frac{3^2x^6y^{12}}{x^5y^{15}}[/tex]

= [tex]\frac{x^{6} }{x^{5} } : x[/tex]

= [tex]\frac{3^2xy^{12}}{y^{15}}[/tex]

=  [tex]\frac{y^{12} }{y^{15} } : \frac{1}{3{y} }[/tex]

= [tex]\frac{3^2x}{y^3}[/tex]

[tex]3^2=9[/tex]

= [tex]\frac{9x}{y^3}[/tex]

Answer:

A. Angle E = 30° and angle D = 60°

Step-by-step explanation:

tan(E) = Opposite/Adjacent

tan(E) = 5/8.66

E = tan^-1(5/8.66)

E = 30°

There's 180° in a triangle, and this is a right triangle.

30 + 90 + x = 180

120 + x = 180

x = 180 - 120

x = 60

D = 60°

The amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Given:

Total cost of dryer = $1,400

down payment percentage = 17%

Amount paid for down payment = 17% of $1,400

= 17/100 × 1400

= 0.17 × 1400

= $238

Therefore, the amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

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Answer:

c

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=56

b=-3

y=56x-3

Answer:

Increasing

Step-by-step explanation:

As we go further on the x-axis, we can see the Y value going up, thereforth it is increasing

Answer:

It is a nonlinear function. The points do not form a straight line.

Step-by-step explanation:

Answer:

The correct answare would be 3.54 x 10^22 N  

R = k(1/T) = k/T

when R = 60, T = 8

60 = k/8

k = 480

R = 480/T

so when T = 6

R = 480/6 = 80 mph

1 = Given

2 = Addition Property of Equality

3 = Division Property of Equality

Answer:

-7 , 9

1, -3

5, -9

Step-by-step explanation:

Answer:

The answer is

-7 , 9, 1, -3, 5, -9

Hope this helps;)

Answer:

What's the question of the problem

If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.

Recall:

Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.

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