Which expressions simplify to a rational answer?
Select each correct answer

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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Answer:

Step-by-step explanation:

reason 1:

opening of brackets to solve the expression

reason 2:

in multiplication order is followed i.e. the number always lead the variable in the expression

reason 3:

for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable

reason 4:

the solved and simplified expression is delivered as a result

Answer:

Sales increase with a decrease in the price.

Step-by-step explanation:

Answer:

\(4\sqrt{3}\)

Step-by-step explanation:

Let's simplify all our terms first, starting with root 12 and root 75.

\(\sqrt{12} = 2\sqrt{3}\)

\(\sqrt{75} =5\sqrt{3}\)

\(2\sqrt{3}- 5\sqrt{3}\)

Now subtract, since both roots are equal, combine like terms.

\((2-5)\sqrt{3}\)

\(-3\sqrt{3}\)

Now we have to add what we have to root 147. Simplify root 147.

\(\sqrt{147} =7\sqrt{3}\)

\(-3\sqrt{3} +7\sqrt{3}\)

Like before, both our roots are equal, so combine like terms.

\((-3+7)\sqrt{3}\)

\(4\sqrt{3}\)

Answer:

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. ... This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Answer:

See below

Step-by-step explanation:

The mean of a data set is what the average value is. For example, the mean of 3, 6, and 9 is (3+6+9)/3 = 18/3 = 6.

The median of a data set is the middlemost value from least to greatest. For example, in {3,6,9}, the median is 6 because it's the middlemost value.

The mode of a data set is the most frequent value. For example, in {1,1,2,2,2,3,5,6,6}, we can see that the mode is 2 because it appears the most frequently in the data set.

Answer:

45 inches

Step-by-step explanation:

The perimeter of the picture before scaling is:

P = L+W+L+W

P = 4+5+4+5

P = 18

Multiply the perimeter by the scale factor.

P = 18 * 2.5

P =45

Answer:

Hey man, I'd love you help you. could you send a more clear picture?

Answer:have u tried searching on gogle or the title page on gogle? because alot of teachers get theyre worksheets from online and theres always a answer sheet along with it

Step-by-step explanation:

I'm having trouble seeing but I think it's the one in the bottom left

Answer:

i think the answer is....

Step-by-step explanation:

The answer is cm=240. I used Chegg

Answer:

30 kids

Step-by-step explanation:

21/30 = .7

.7 is 70% so if there are 30 kids then 70% of that would be 21.

Answer:

36x2 gives us the answer which is 54 feet

Step-by-step explanation:

The solution is, the approximate circumference of the trunk is 113 ft.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

here, we have,

given that,

The largest living thing on earth is a California sequoia tree named the “General Sherman”. The diameter of the tree at the base is 36 feet.

now, we have to find the approximate circumference of the trunk .

we have,

The diameter of the tree at the base is 36 feet.

so, radius = 36/2 = 18 ft

we know that,

circumference of the trunk = 2πr

here, r = 18

so, we get,

circumference of the trunk is:

=2 * 3.14 * 18

=113 ft

Hence, the approximate circumference of the trunk is 113 ft.

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Answer:

any number below -9, or any regular number.

please give brainliest ☻︎

Answer: The DJ's hourly rate is $125.

Step-by-step explanation:

You first see what the initial fee is, which is 200. You find the initial fee by looking at where the line starts on the y-axis. Then you jump 1 hour on the x-axis and go up until you hit your line. If you follow that you get too 325. You then do 325-200 which gives you the answer of 125 which is your hourly rate.

Answer:

Step-by-step explanation:

Let’s mark the Triangle Points as Point A, Point B, Point C.

Point A = 1x°

Point B = 2x°

Point C = 3x°

We know that the Angle Sum of a Triangle is equal to 180°.

So, Point A + Point B +Point C = 180°

   = 1x° + 2x° + 3x° = 180°

   = (1 + 2 + 3)x° = 180°

   = 6x° = 180°

   = x° = (180/6)°

   = x° = 30°

|  —                                 —  |

|   Point A = 1 * 30° = 30°    |         ⇒

|   Point B = 2 * 30° = 60°   |         ⇒          Only Extra Information

|    Point C = 3 * 30° = 90°  |         ⇒

|  —                                 —  |

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Answer:

The chances of choosing an apple are 8/24 = 1/3

The chances of choosing an pear are 3/24 = 1/8

Step-by-step explanation:

Answer:

Step-by-step explanation:There are 152 apples.

The explanation is shown below:

- You need to write the following three equations, where is the the number of apples, is the number of pears and is the number of oranges:

1)

2)

3)

- You must substitute the equation 3) into the equation 2):

- Now, you need to solve for in the equation 1) and then you must substitute it into :

- Solve for , as following:

- Therefore, there are 152 apples.

Answer:

C-cashews cost $9.50 pound

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

I told u in the comment thing, ad when you go from 1 up, it leads to 9.5

Answer:

not sure

Step-by-step explanation:

Answer:

It is twice the area of a rectangle with sides 2 units × 3 units.

Step-by-step explanation:

Answer: Option 1

Step-by-step explanation:it is half of a rectangle

Answer:

11 inches

Step-by-step explanation:

square root of 121 = 11

Answer:

A I think I'm so sorry if its wrong

Step-by-step explanation:

Answer:

Ancient Greece relied heavily on imported goods. ... Agricultural trade was of great importance because the soil in Greece was of poor quality which limited crop production. However, some food items could be produced in the Mediterranean climate such as olives, olive oil, figs, honey, meat, cheeses, and wine.

Step-by-step explanation:

Answer:

0.67 hours

Step-by-step explanation:

divide 7 1/3 by 11

Answer:

f(x) = 26(x - 2)

Step-by-step explanation:

Step-by-step explanation:

As we know that,

The sum of two corresponding interior angles =exterior angle

According to the question,

Hence,

The exterior angle =2a=2×54=108°

Answer:

8) x = 4°

9) $7176.53

10) 22

Step-by-step explanation:

8) The sum of all three interior angles of any triangle = 180°

11x + 25x + 9x = 180°

45x = 180°

divide both sides of the equation by 45:

x = 4°

9) ($6500 x 1.02) = 6630 x 1.02 = 6762.60 x1.02 = 6897.85 x 1.02 = 7035.81 x 1.02 = 7176.53

10) (2/5)(55) =110/5 = 22

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

Two sets of data, set X and set Y are given

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

Therefore, both the data sets has same range and mean.

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.  

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Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

We know

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

also

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.

Answer:

$950.51

Step-by-step explanation:

First, find the area of the room, the total square footage, so we know how many tiles to buy. 15*14=210. 210 tiles to buy, $4.25 each. 210*4.25=892.5. If you're not allowed to use a calculator, you can do (210*4)+(210*0.25). The cost before tax is $892.50. What is 6.5% of 892.5? The answer is 58.0125, however, we can't go past the second decimal point or the hundredths digit when deal with money. Rounding to the nearest hundredth, you get $58.01. Add this to cost before tax, 892.50+58.01=950.51. The total cost is $950.51