Do the numbers in the table below represent a proportional relationship?

Answer:

Option 1: Domain of both functions are all real numbers.

Step-by-step explanation:

f(x) = 5x

Domain: All Real Numbers

Range: All Real Numbers

g(x) = 5

Domain: All Real Numbers

Range: y > 5

Answer: Option 1

Step-by-step explanation:

f(x) = 5x

Domain: All Real Numbers

Range: All Real Numbers

g(x) = 5

Domain: All Real Numbers

Range: y > 5

D is point lies between A and B.

Triangle △ABC has an altitude CD.
angles A and B are both acute.

Altitude is perpendicular bisector to side of triangle from opposite vertex of triangle.

Since △ABC
A and B are acute angles, and that altitude CD has one vertex at c and other is between A and B i.e. D

Thus, the required point of Altitude CD D lies between A and B.

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Answer:

x = 6

Step-by-step explanation:

3x - 2 = 16

3x = 16 + 2

3x = 18

x = 18/3

x = 6

Answer:

x=6

Step-by-step explanation:

3x-2=16

+2      +2

3x = 18

÷3    ÷3

x=6

Answer:

1a) 15, 7, x+5

1b) 7

2a) 18, 3r

Step-by-step explanation:

1a) Since Claire is 5 years older, she will always be her cousin's age plus 5

1b) Claire is 5 years older, so Claire's cousin is 5 years younger. So, Claire's cousin is Claire's age minus 5

2a) Diego will have the amount of Han's books times 3

Answer:

Clare Questions:

Cousin: 10, Clare: 15

Cousin: 2, Clare: 7

Cousin: x, Clare: x + 5

Cousin: 7, Clare: 12

Diego Questions:

Han: 6, Diego: 18

Han: can't tell if it is a 0 or n, Diego: 0 or 3n, respectively

Step-by-step explanation:

Since Clare is older than her cousin by 5, they will both age at the same rate, thus she will always be 5 years older.

example: if her cousin is 10, Clare will be 10 + 5 years older, therefore being 15.

Since DIego has 3 times as many books than Hans, it multiplies by 3.

example: if Han has 6 books, multiply 6 by 3 and you get Diegos amount, 18.

Answer:

4 units squared and 6 units squared.

Hope this helps!

Answer:

4 sq units and 6 sq units

Step-by-step explanation:

Method:

count dots inside ...(a)

the ones on the border of the shape and divide by two ...(b)

(a)+(b)-1 = area

use that for green and yellow

Green:

(a): 0

(b): 10/2 = 5

0+5-1 = 4 sq units

Yellow:

(a): 3

(b): 8/2 = 4

3+4-1 = 6 sq units

I hope this helps, and plz mark me brainliest!!!!

Answer:

5

Step-by-step explanation:

p(2) - q(2)

3 - (-2)

3 + 2

= 5

Answer: C

Step-by-step explanation:

Given that the line -3x + y/2 = -3 passes through the points (1, 0) and (0, -6).

First rearrange the equation

-3x + y/2 = -3

Y = 2( 3x - 3 )

Y = 6x - 6 ..... (1)

Also, the slope of points (1, 0) and (0, -6). Will be

M = ( -6 - 0 )/( 0 - 1 )

M = -6/-1

M = 6

Using general linear equation

Y = MX + C

Let Y = 0 and X = 1

0 = 6(1) + C

C = -6

Substitutes C back into the equation

Y = 6x - 6 ...... (2)

The value of b that will cause the system to have infinitely many number of solutions is 6

Answer:

6

Step-by-step explanation:

Answer:

(x + 2) / x(x - 4).

Step-by-step explanation:

x^2-4x-12/x^3-10x^2+24x

= (x + 2)(x - 6) / x(x^2 - 10x + 24)

=  (x + 2)(x - 6) / x(x - 4)(x - 6)          x -6 is common to top and bottom so:

= (x + 2) / x(x - 4).

Answer:

x+2/x(x+4) or x+2/x^2-4x

Step-by-step explanation:

from the numerator x^2-4x-12, factorise the numerator

x^2-4x-12

multiplying x^2 and -12=-12x^2

step2:

find two numbers that when multiplied you get -12x^2 and when added you get -12x^2.

This numbers are -6x and 2x.

Therefore,(x^2+2x)-(6x-12)

x(x+2)-6(x+2)

(x-6)(x+2)

Step3

from the denominator x^3-x^2+24x, factorise the denominator

x^3-x^2+24x

What is common to all the numbers, the number that is common is x

Therefore,x(x^2-x^2+24x).

multiplying x^2+24x=24x^2

step2:

find two numbers that when multiplied you get 24x^2 and when added you get 24x^2.

This two numbers are -6x and -4x.

Therefore,x{(x^2-4x)-(6x+24)}

x{x(x-4)-6(x-4)}

x{(x-4)(x-6)

Step4

Bringing the nunerator and denominator together.

(x-6)(x+2)/x{(x-4)(x-6)}

(x-6) divides each other

Therefore,x+2/x(x-4) or (x+2)/x^2-4x

Answer:

20m-6

Step-by-step explanation:

[tex]6m-2(-7m+3)=\\6m+14m-6=\\20m-6[/tex]

Answer:

20m - 6

Step-by-step explanation:

6m - 2(-7m + 3)

Expand brackets.

6m + 14m - 6

Add like terms.

20m - 6

Answer:

Step-by-step explanation:

RHS means on the right hand side

And LHS means on the left hand side

So if x is one the right side of the expression ,it is on the RHS and if it is on the left side of the expression , it is on the LHS

Answer:

C.

Step-by-step explanation:

Explicit Formula: an = a1(r)^(n-1)

Our r = 1/4 because to get 64 down to 16 you need to divide by 4 or multiply by 1/4

Our a1 is the 1st term of the sequence, which is 64.

Plug it in: an = 64(1/4)^(n-1)

So our only viable option is C.

Answer:

Option C

Step-by-step explanation:

=> [tex]a_{n} = a_{1} * r^{(n-1)[/tex]

Where a1 = 64, r = 1/4

So,

=> [tex]a_{n} = 64 * (\frac{1}{4}) ^{n-1}[/tex]

Answer:

it would be 3/5

Answer:

110

Step-by-step explanation:

No of robberies = 125

Percentage = 100%

No of robberies = 'd'

Percentage = 12% lower than 2013 = 100% - 12%

= 88%

No of robberies in 2014 = 88% of the number of robberies in 2013

'd' = 88/100 × 125

'd' = 0.88 × 125

'd' = 110

2014 robberies = 110 in number

I think its 57.17 or about 52.2cubic inch

Answer:

(6,-4)

Step-by-step explanation:

Reflecting over the x axis means flipping the point or line over it. Therefore the point's y value would the opposite from the beginning.

Answer:

Step-by-step explanation:

For any point reflected over the x-axis, the x-coordinate stays the same and the y-coordinate becomes negative.

6 stays the same

4 becomes -4.

Answer:

[tex]a_{n} = -83/40[/tex]

Step-by-step explanation:

Given

[tex]a_{n} = -2 + 3/2 (n-1)[/tex]

In this problem to find 21st term we put 21 in place of n in the equation

[tex]a_{n} = -2 + 3/2 (21-1) = \\a_{n} = -2 + 3/2 (20)\\a_{n} = -2 + 3/40 = (-2*40 +3)/40 \\a_{n} = -83/40\\[/tex]

Thus, 21st term is -83/40.

Answer:

B

Step-by-step explanation:

Answer:

13/15

Step-by-step explanation:

1/5 + 2/3 = x

(1 · 3)/(5 · 3) + (2 · 5)/(3 · 5) = x

3/15 + 10/15 = 13/15 (can't reduce any further)

Hey there! :)

Answer:

Option C.

Step-by-step explanation:

A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:

Slope of perpendicular line = -3/2.

Remember, the equation for solving for the slope is:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

We must find points that when plugged into this equation, equal to -3/2.

Plugging in the points in option A:

[tex]\frac{2}{3} \neq \frac{-3}{2}[/tex]

Option B:

[tex]\frac{3}{4} \neq \frac{-3}{2}[/tex]

Option C: This is the correct answer.

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

Option D:

[tex]\frac{2}{10}\neq \frac{-3}{2}[/tex]

Answer:

Kobe raised x + 24.55

Amari raised x

DJ raised 2x – 15.60

Answer:

-4x  = 7

3x+5y = -9

Step-by-step explanation:

This is an augmented matrix which means the solution to the equations are on the right hand side

-4x +0y = 7

3x+5y = -9

We can remove the 0 term

-4x  = 7

3x+5y = -9

Answer:

5/2

Step-by-step explanation:

We take the ratio of a side of ABC over the same side on DEF

AB/ DE

35/14

Divide top and bottom by 7

5/2

Answer: $641.51

Step-by-step explanation:

A = p (1+ r/n)^nt

A = 500 (1 + 0.025/4)^4*10

A = 641.51

The amount in an account where $500 in invested at 2.5% is $641.51.

Using this formula

A = p (1+ r/n)^nt

Where:

A=Amount

P= Principal=$500

R=Rate=2.5% or 0.025

n=4 (Quarterly)

T=Time=10 years

Let pug in the formula

A = $500(1 + 0.025/4)^4×10

A=$500(1.28302)

A =$641.51

Inconclusion the amount in an account where $500 in invested at 2.5% is $641.51.

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Answer:

0.000432

Step-by-step explanation:

Since we have a negative exponent 4 with a base of 10, we simply just move the decimal place 4 places to the left. When you do so, fill in your remaining zeros and you should get your answer.

Answer:

0.000432

Step-by-step explanation:

4.32ₓ10⁻⁴ =

= 4.32ₓ1/10000

= 4.32/10000

= 0.000432

Answer:

2.92%

3.85%

Step-by-step explanation:

The population in 2000 is 282,194,308.  The population in 2003 is 290,447,644.  This is an increase of 8,253,336.

290,447,644 - 282,194,308 = 8,253,336

To find the percentage in increase, divide the difference by the original number and multiply by 100%.  The population increased by 2.92%.

8,253,336/282,194,308 = 0.0292 × 100% = 2.92%

The population in 2003 is 290,447,644.  The population in 2007 is 301,621,157.  This is an increase of 11,173,513.

301,621,157 - 290,447,644 = 11,173,513

Divide the difference by the original number and multiply by 100%.  The population increased by 3.85%.

11,173,513/290,447,644 = 0.0385 × 100% = 3.85%

Answer:

The correct option is:

cosθ = -3/5

Step-by-step explanation:

We have been given that:

cotθ = 3/4

such that the terminal side of θ lies in III quadrant.

Consider it a right angled triangle.

We know that:

cotθ = Base / Perpendicular

Which means Base has a magnitude of 3 and Perpendicular has the magnitude of 4.

As It lies in III quadrant, both x and y are negative.

So

Base = -3

Perpendicular = -4

Find the hypotenuse by using Pythagoras Theorem

H² = (-3)² + (-4)²

H = 5

We know that:

cosθ = Base / Hypotenuse

cosθ = -3/5

Answer:

cos=-3/5 and tan=4/3

Step-by-step explanation:

Answer:

1 - a/variable

2 - d/statistic

3 - b/population

4 - c/data

5 - e/parameter

6 - f/sample

I did comment asking if the two you'd already selected were definitely correct, but no answer was given, so I apologise if this is wrong. This is what I would put.

I think its ƒ(x) = 1∕2(x – 2)2 + 1

The function that represents a parabola with vertex at (2,1) and y-intercept (0,3) is f(x) = - x² + 4x - 3.

What is general equations of parabola?

The general equation of a parabola is given by

⇒ y = a(x – h)² + k

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

According to the question,

⇒ y = a(x – h)² + k

⇒ (h,k) = (2,1)

⇒  y = a(x – 2)² + 1

T find the value of a,

⇒ - 3 = 4a + 1

⇒ a =-1

⇒  y = -1(x – 2)² + 1

⇒ y = -(x² + 4 - 4x) + 1

⇒ y = -x² + 4x - 3

Hence the required function is y = -x² + 4x - 3.

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Answer: there a 3 feet to a yard a 36 inches to a yard( 12 inches to a foot) 1/3 of a yard is a foot hope this helps

Step-by-step explanation: