3. Which of the following represents a function?
O (5, 1), (5,2), (5, 3), (5, 4)
O (-1,2), (-2, 1), (-1, -2), (-2,-1)
O (3, 4), (-3, 2), (3, 8), (5,5)
O (2, 3), (4, 3), (-2, -3), (-4,-3)

Answer:

31

Step-by-step explanation:

b is two fifths of c, so we make this a ratio with c = 1.

The ratio of b:c is 2/5 : 1

We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,

so we get the ratio of a to c as 3/4 : 1

Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:

3 : 8/5 : 4

Now multiply the 3 numbers by 5 to remove the denominator  of 5 in b:

15 : 8 : 20

Now we can check using the equations:

b is 2/5 of c:  20 x 2/5 = 40/5 = 8 This is true.

4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.

The ratios is 15 : 8: 20

Answer: 3 feet by 10 feet rectangle

===========================================================

Explanation:

Assuming this garden is a rectangle, it has dimensions L and W which are the length and width respectively.

perimeter of rectangle = 2*(length+width)

P = 2*(L+W)

26 = 2(L+W) ... plug in given perimeter

26/2 = L+W .... divide both sides by 2

13 = L+W

13-W = L  .... isolate L by subtracting W from both sides

L = 13-W

------

Area of rectangle = Length*Width

A = L*W

A = (13-W)W .... replace L with 13-W

A = W(13-W)

A = 13W - W^2 ..... distribution

30 = 13W - W^2 .... plug in given area A = 30

W^2 - 13W + 30 = 0 ... get everything to one side

(W - 10)(W - 3) = 0 ...... factor

W-10 = 0 or W-3 = 0 ...... zero product property

W = 10 or W = 3

----------

If the width is W = 10, then

L = 13-W

L = 13-10

L = 3 is the length

Or if the width is W = 3, then

L = 13-W

L = 13-3

L = 10 is the length

Either way, this is a 3 ft by 10 ft rectangle

--------

Check:

Area = length*width = 10*3 = 30 square feet

perimeter = 2(length+width) = 2*(10+3) = 2*13 = 26 feet

or you could say

perimeter = L+W+L+W = 10+3+10+3 = 13+13 = 26 feet

we get the correct area and perimeter, so this confirms our answer.

Answer:

1. Option A is correct (A = length x width)

2. Option B is correct ( A = base x height/2)

Hope this helps

:)

Answer:

3x + 2

Step-by-step explanation:

x = 1x but leaving the x alone equals the exact thing.

If there are x + x + x, this means 3x since it is also

1x + 1x + 1x.

This is another expression for 3x + 2.

Answer:

73°

Step-by-step explanation:

the measure of two complementary angles add up to 90

so We need to solve this equation to get the measure of its complementary angle :

x + 17 = 90

then

x = 90 - 17

  = 73

30x and 12 have a common factor of 6.   So yes, this might have been the result of distributing the 6 in

6(5x - 2)

Answer:

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

Step-by-step explanation:

30 and 12 have these factors in common: 2, 3, 6

There are three possible answers.

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

I hope this helps you

Answer:

To begin to answer your question you would need to know that the formula for the volume of a rectangular prism is the following: [tex]V=lwh[/tex]. Now its just a manner of substitutions.

Step-by-step explanation:

[tex]V=605 \text{in}^3[/tex]

Then one can also state the following:

[tex]V=(x+2)(4x-1)(2x+5)[/tex]

Following up with this substitution:

[tex]605=(x+2)(4x-1)(2x+5)[/tex]

Proceeding with a FOIL procedure:

[tex]605=(4x^2+8x-x-2)(2x+5)[/tex]

[tex]605=8x^{3}+34x^{2}+31x-10[/tex]

[tex]0=8x^{3}+34x^{2}+31x-615[/tex]

Using PRZs:

[tex]PRZs=\frac{\text{Factors of Constant Term}}{\text{Factors of Highest Power}}=\frac{\pm 1,\pm 3, \pm 5, \pm 41, \pm 615}{\pm 1, \pm 2, \pm 4, \pm 8}[/tex]

By graphing it one can identify that 3 is a solution so plugging it in and using synthetic division.

[tex]\begin{array}{ccccc}3|& 8 & 34 & 31 & -615\\ \ \ |& & 24 & 174 & 615 \\ & 8 & 58 & 205 &0 \end{array}\\[/tex]

Giving the following the polynomial:

[tex]0=(x-3)(8x^2+58x+205)[/tex]

Now one can evaluate the discriminant of that quadratic:

[tex]58^2-4(8)(205)=-3196[/tex]

Because it is negative one knows that it produces imaginary solutions. Therefore the only real solution is [tex]x=3[/tex]. Therefore the dimension of the box is the following: [tex]5\text{in},11\text{in}, 11\text{in}[/tex]

Answer:

192[tex]feet^3[/tex]

Step-by-step explanation:

The formula for the area of a rectangle is : [tex]length*width[/tex]

In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.

To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.

1) Multiply 6 by 4.

[tex]6*4=24[/tex]

2) Multiply 24 by 8.

[tex]24*8=192 feet^3[/tex]

Answer:

No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.

Answer:

Oh yeah...

Step-by-step explanation:

Arthur is bullying my house.......

(Brainliest?)

Answer:

Step-by-step explanation:

3.2 times 1.5  plus 6 times4.2= 30 meters of carpet.

Answer:

He needs 23.7 of carpet

Step-by-step explanation:

multiply 4.2 and 6 which is 25.2. Then subtract 1.5 from 25.2 which is 23.7.

Answer:

[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Step-by-step explanation:

Vertical stretch or shrink

[tex]y=c \cdot f(x)[/tex]

a stretch by a factor of c if  c>1

a shrink by a factor of c if c<1

c is the factor

We are given that factor = 1/6 <1

So, Vertical shrink

So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]

We are given that [tex]f(x) = (x + 1)^2[/tex]

So,[tex]y=\frac{1}{6}(x+1)^2[/tex]

Option D is true

Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Answer:

ƒ(x) = (1∕6x + 1)^2

Step-by-step explanation:

Answer:

i really dont know

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The slope (rate of change) are 2/5 or .4 for both of them

Answer:

Gross pay per week = $234

Federal income tax = $421.2

Social security = $174.96

Medicare =$40.71

net pay per week = $181

Total gross pay = $2,808

Total net pay = $2172

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate Angela gross income per week:

18 hours per week x $13 per hour = $234 per week (gross)

234 x 12 =2,808

Amount taken ; multiply weekly gross pay by each percentage discount in decimal form (divided by 100)

Federal income tax = 234 x (15/100) = $35.1  (in 12 weeks = 35.1 x 12 = $421.2)

Social security = 234 x (6.2/100)= $14.508 (in 12 weeks = 14.5 x 12 = $174.96)

Medicare = 234 x (1.45/100)=$3.393  (in 12 weeks = 3.39x 12 = $40.71)

Total amount taken (per week)= 35.1+14.508+3.393=$53.001

Net pay per week = 234-53 = $181

For the total gross pay we have to multiply the weekly gross pay by the number of weeks (12)

Total gross pay = 234 x 12 =$2,808

Total net pay = 181 x 12 = 181 per week x 12 = $2172

Answer:

Circumference = 2 x 3.14 x radius = 27 (in)

=> radius = 27/(2 x 3.14) = 4.3 (in)

=> Area = 3.14 x radius^2 = 3.14 x 4.3^2 = 58.1 (in2)

Answer:

58 inches^2

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi *radius^{2}[/tex]

To work out the area of this circle you would first need to divide the circumference of 27 by pi, this gives you 8.594. This is because the formula for the circumference is: [tex]\pi *diameter\\[/tex] and so by dividing the circumference by pi we are isolating the value of the diameter.

Then now that we have worked out the diameter we can now begin to work out the area, however in order to work out the area we must work out the radius. You can do this by dividing the diameter by 2, which gives you 4.297.

Then to work out the area you would multiply pi by the radius of 4.297 squared, this gives you 58.01 [tex]inches^{2}[/tex].

The next step is to round it to the nearest whole number, this gives you 58.

1) Divide 27 by pi.

[tex]27/\pi =8.594[/tex]

2) Divide 8.594 by 2.

[tex]8.594/2=4.297[/tex]

3) Multiply pi by 4.297 squared.

[tex]\pi *4.297^{2} =58.01[/tex]

4) Round to the nearest whole number.

58 square inches

The formula to calculate the area of a trapezoid is as follow:

4 * (8 + 16) * 1/2

Answer:

trapezoid area :(a+b)/2 ×h

(16+ 8)/2 ×4

=48

Answer:

Step-by-step explanation:

Serena walks 4 km in 1 h.

That means:

1) She walks 4 km per hour.

2) She spends 1/4 = 0.25 hour per mile.

Have a good day.

We can write this as:

4 kilometers/1 hour

The unit rate is already simplified so there is nothing else to do.

Answer: 4km/1hr

Best of Luck!

Answer:

(D) 7, 3

Step-by-step explanation:

If a set has 'n' elements, the total number of subsets is (2^n) - 1

So if set A has more subsets than set B, it needs to have more elements, so option (A) and (B) can't be correct.

So, checking option (C), we have:

Set A: number of subsets = 2^8 - 1 = 255

Set A: number of subsets = 2^4 - 1 = 15

Difference: 255 - 15 = 240

The difference is not 120, so this is not the correct option

Option (D):

Set A: number of subsets = 2^7 - 1 = 127

Set A: number of subsets = 2^3 - 1 = 7

Difference: 127 - 7 = 120

Correct option: (D)

Step-by-step explanation:

D= rt

Where D is distance r is rate and t is time

15 < r3

15/3 < r

5< r

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The swimming rate of a manatee swims for 15 miles in 3 hours is given as,

Rate > 15 / 3

Rate > 5 miles per hour

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

Answer:

192

Step-by-step explanation:

Add 8 started from 2 and keep going till you hit 192.

Answer:

a1 = 2      d = 8

n = 13

an = a1 + d(n-1)

a(13) = 2 + 8(13-1)

2 + 8(12)

2 + 96 = 98

Step-by-step explanation:

1. identify the terms

2. write down the arithmetic sequence formula and then replace the letters with their values.

3. do parenthesis first, then multiply by d.

4. add them together to get the 13th term

Answer:

The slope is 3

Step-by-step explanation:

The slope is 3 because when you set up the equation (-2,-3) is labeled as x1 and y1 and (-4,-9) is labeled as x2 and y2. When you set up the equation you get -9--3 / -4--2, which becomes -6/ -2, which then becomes -3/-3, which is really just 3. :)

The slope of the line given is 3.

Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.

Given is a line passing through points (-2, -3) (-4, -9)​, we need to find its slope,

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:-

y₂-y₁ / x₂-x₁

Here, (x₁, y₁) and (x₂, y₂)  are (-2, -3) (-4, -9)​

So, the slope is = -9+3 / -4+2 = -6 / -2 = 3

Hence, the slope of the line given is 3.

Learn more about slopes, click;

https://brainly.com/question/3605446

#SPJ7

Answer:

y=1.09x+0.4

Step-by-step explanation:

Let's assume that the price of beef stays the same for every pound of beef (the first pound is also $1.09)

Then, the equation would be, it y was the cost, and x was pounds:

y=1.09x

But, the price of beef is not the same for the first pound.

The first pound costs an extra 1.49-1.09=0.4 dollars a pound, so we will add that to the equation.

y=1.09x+0.4

Answer: the first box is 1/5 since one of 5 squares are shaded.

The next box the answer is “there are 4 groups 1/5.

The next answer is 4/5

The last answer is 4/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/4 * 2 = 1 1/2

The factory made two batches of granola bars.

Answer: 13/250 or 0.052

Step-by-step explanation:

4.16 (1/100000)/ 8 (10^-4)

Then keep doing order of operations and dividing down.

Answer:

5.2*10^-2

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Let's solve this system using elimination through addition/subtraction.  Multiply the second equation by (1/2), which results in the system

y - 4x = 5

4x - y = 8

--------------

0x + 0y = 13.  This is NEVER true.  This system of equation has NO  SOLUTION.

Answer:

The answer is 541.8 cm³

Step-by-step explanation:

you just have to multiply the measures of each side:

(8.8)(4.7)(13.1) = 541.8

Answer:

the answer and explanation is in the picture

please like and Mark as brainliest

hope this helps

Answer:

D

Step-by-step explanation:

The name for the angle shown is  ∠D and ∠CDE.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

An angle is formed when two straight lines or rays meet at a common endpoint.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angles formed by two rays lie in the plane that contains the rays.

Angles are also formed by the intersection of two planes.

The name of the angle are ∠D and ∠CDE.

Hence, the name for the angle shown is  ∠D and ∠CDE.

To learn more on Coordinate Geometry click:

https://brainly.com/question/28182497

#SPJ2