Which values are possible rational roots of 9x^3+14x^2-x+18=0 according to the rational root theorem? Select each correct answer. ±3 ±1/18 ±1/3 ±1/2

Answer with explanation:

Width of the field = w  feet

As, given length of rectangular field is 40 feet more than twice the width.

Length of Soccer field = (2 w + 40) feet

Area of Rectangular field = Length × Breadth

                                          = w × (2 w+40)  square feet

                                       A =2 w² +40 w

First Blank =2

Second Blank = 40

Find out how many feet are in a yard.

3 feet = 1 yard

Find out how many inches are in a yard

3×12=36

Find out how many yards are in 2000 inches.

2000÷36=55.5

55.5 ≈ 56

The answer would be C) 56 yards

This answer is

[tex]24 * 10^4[/tex]

In power of ten notation, exponent tells us that how many times 10 is to be multiplied by itself to equal the number we wish to write. So we can write the above scenario as follows:

[tex]240,000 * 10^0[/tex]

[tex]240, 00 * 10^1[/tex]

[tex]240, 0 * 10^2[/tex]

[tex]240 * 10^3[/tex]

[tex]24 * 10^4[/tex]

So, the 10 will be multiply 4 times with 24 to get the same answer as 240,000

The answer is [tex]24 * 10^4[/tex]

20,

So, there are 6 total parts,

X = 60/6

Each X = 10

So, 10*2 = 20

20 of them are golden.

To determine the number of golden nail paints, the total nail paints (60) are divided by the sum of the ratio parts (3), resulting in 20 nail paints per part. Multiplying the part for golden paints (1) by 20 gives us 20 golden nail paints.

The ratio of silver nail paints to golden paints is given as 4 to 2, which simplifies to a ratio of 2 to 1. This means that for every 2 silver nail paints, there is 1 golden nail paint. If there are a total of 60 nail paints, we need to determine how many of them are golden. To find out, we divide the total number of nail paints by the sum of the ratio parts (2 + 1 = 3 parts). Hence, each part represents 20 nail paints (60 ÷ 3).

To calculate the number of golden nail paints, we then multiply the number of parts for golden paints (which is 1 part) by the nail paints per part, so we get 20 x 1 = 20 golden nail paints.

The number is = 92776

Explanation:

my nine is worth 9 x 10000 , this gives-

[tex]9\times10000=90000[/tex]

my two it's worth 2001 =2 (thousandth place)

sevens is worth 70(tens place) the other is worth 10 times (hundredth place) = 77

my other digit is at 6 =6

Hence, 92776

[tex]\frac{4}{7} (\frac{2}{2} ) = \frac{8}{14}[/tex]

[tex]\frac{4}{7} (\frac{3}{3} ) = \frac{12}{21}[/tex]

[tex]\frac{4}{7} (\frac{4}{4} ) = \frac{16}{28}[/tex]

8/14.    

12/21

16/28

Is this what you’re looking for

9 and 3/2 as an integer is 10.5

If you're looking for the integer of 9 3/2, it'd be 10.5!

I hope this helped!

For this case we must factor the following expression:

[tex]x ^ 2-12x + 36[/tex]

We must find two numbers that when multiplied give as a result "36" and when added together they give "-12". These numbers are:

[tex]-6-6 = -12\\-6 * -6 = 36[/tex]

Then, the factorization is given by:

[tex](x-6) (x-6) = (x-6) ^ 2[/tex]

Answer:

[tex](x-6) ^ 2[/tex]

Option A

Answer:

Option C

{-1,3,5}

Step-by-step explanation:

A mapping is a subset of ordered pair (x,y) where x belongs to first set and y belongs to second set.

Hence a mapping is a subset of cartesian product AXB.

Here A = {-2,1,3,5} and

B = {2,4,6,8}

Ordered pair given by the mapping is

(-2,1) (3,6) and (5,8)

In other words, -2 is mapped on to 1, 3 to 6 and 5 to 8

Domain = set of elements in the I set which are mapped

= {-1,3,5}

ANSWER TO QUESTION 7

Independent Variable: Number of Chairs Painted(p)

Dependent Variable: Paint Left(L)

To represent the relationship using a graph, we draw two perpendicular axis, wth Number of Chairs Painted(p) on the horizontal axis, and Paint Left(L) on the vertical axis.

Then we plot the points

[tex](0,\:\:128)[/tex], [tex](1,\:\:98)[/tex], [tex](2,\:\:68)[/tex], [tex](3,\:\:38)[/tex].

Using a straight edge, we draw a straight line through the points as shown in the diagram attached.

From the graph the slope is given by

[tex]Slope=\frac{60}{-2}=-30[/tex]

and the y-intercept is

[tex]c=128[/tex]

The equation is given by

[tex]L=mp +c[/tex]

That is

[tex]L=-30p +128[/tex]

In words, Paint level is reducing at a rate of [tex]30[/tex]oz

ANSWER TO QUESTION 8

Independent Variable: Number of snacks purchased(s)

Dependent Variable: Total Cost(c)

To represent the relationship using a graph, we draw two perpendicular axis, with Number of snacks purchased(s) on the horizontal axis, and Total Cost(c) on the vertical axis.

Then we plot the points

[tex](0,\:\:18)[/tex], [tex](1,\:\:21)[/tex], [tex](2,\:\:24)[/tex], [tex](3,\:\:27)[/tex].

Using a straight edge, we draw a straight line through the points as shown in the diagram attached.

From the graph the slope is given by

[tex]Slope=\frac{3}{1}=3[/tex]

and the y-intercept is

[tex]c=18[/tex]

The equation is given by

[tex]C(s)=ms +c[/tex]

That is

[tex]C(s)=3s +18[/tex]

In words, the Total cost increases is reducing at a unit rate of [tex]3[/tex]

ANSWER TO QUESTION 9

Independent Variable: Number of flight of stairs climbed(n)

Dependent Variable:Elevation (ft above sea level),E

To represent the relationship using a graph, we draw two perpendicular axis, with Number of flight of stairs climbed(n) on the horizontal axis, and Elevation (ft above sea level),(E) on the vertical axis.

Then we plot the points

[tex](0,\:\:311)[/tex], [tex](1,\:\:326)[/tex], [tex](2,\:\:341)[/tex], [tex](3,\:\:356)[/tex].

Using a straight edge, we draw a straight line through the points as shown in the diagram attached.

From the graph the slope is given by

[tex]Slope=\frac{15}{1}=15[/tex]

and the y-intercept is

[tex]c=311[/tex]

The equation is given by

[tex]E(n)=mn +c[/tex]

That is

[tex]E(n)=15n +311[/tex]

In words, the unit rate of rising above sea level is [tex]15[/tex]

we know that

If DF is parallel to GH

then

the measure of the angle EGH must be equal to 70° by corresponding angles

so

Find the measure of the angle EGH

In the triangle EGH

the sum of the internal angles must be equal to 180 degrees

42°+68°+∠EGH=180°

solve for ∠EGH

∠EGH=180-(42+68)

∠EGH=180-110

∠EGH=70°

therefore

The lines DF and GH are parallel

To find the total length of ribbon Carol, Tino, and Baxter have, first convert each length into the same unit. The total length of ribbon is 306 inches, 25.5 feet, or 8.5 yards when combining all their ribbons.

The lengths of ribbon that Carol, Tino, and Baxter have must be expressed in the same unit to find the total length. We will convert all lengths into inches, feet, and yards.

Carol's ribbon: 90 inches

Tino's ribbon: 13.5 feet × 12 inches/foot = 162 inches

Baxter's ribbon: 1.5 yards × 3 feet/yard = 4.5 feet then 4.5 feet × 12 inches/foot = 54 inches

Total Length in Inches:

90 + 162 + 54 = 306 inches

Total Length in Feet:

306 inches ÷ 12 inches/foot = 25.5 feet

Total Length in Yards:

25.5 feet ÷ 3 feet/yard = 8.5 yards

Now we have the total length of ribbon in all three units: inches, feet, and yards.

Answer:

77.5

Step-by-step explanation:

in this excercise the average is 4 months (January, Febuary, March, April)

the average rate is:

[tex]\frac{1450-1140}{4} =\frac{310}{4} = 77.5[/tex]

Answer:

It is yes the similarity ratio is 3:4.

Step-by-step explanation:

Answer:

Option 2 is correct that is NO ; The triangles are not similar.

Step-by-step explanation:

Given: Measurements of the sides of triangle.

Say sides of triangle 1 = 3 , 5 , 6

Sides of triangle 2 = 4 , 6 , 8

We have to find if triangles are similar or not and if they are similar then to find their ratio.

Since, We are given with only sides of the triangle.

Then if they are similar then they will be by Side-Side-Side similarity criteria.

Here, Two triangles are said to be similar by Side-Side-Side Criteria if ratio of their sides are equal.

But clearly from given values , all ratios are not equal.

[tex]\frac{3}{4}=\frac{6}{8}\neq\frac{5}{6}[/tex]

Or

[tex]\frac{3}{6}\neq\frac{5}{8}\neq\frac{6}{4}[/tex]

No possible pair give equal ratio.

Therefore, Option 2 is correct that is NO ; The triangles are not similar.

Answer:

a

Step-by-step explanation:

Remark

Multiply both sides of the equation by 25. Then you have an equation that you have already done probably.

Step One

Multiply both sides of the equation by 25

1 * (20 - t) = 4t - (3/5) * 25    Every part of the equation must be multiplied by 25

(20 - t) = 4t - 75/5                 3*25/5 = 75/5

20 - t = 4t - 15                       Add t to both sides

20 - t + t =4t + t  - 15             Combine like terms

20 = 5t - 15                            Add 15 to both sides

20 + 15 = 5t - 15 + 15             Combine like terms  

35 = 5t                                    Divide by 5

35/5 = 5t/5                             Switch sides

t = 7  Answer

The answer would be... B

Answer: A.15

Step-by-step explanation:

We know that the mode of a data set is a data value that occurs most of the time than the rest other values.

Given : A group of college students was surveyed to see how old they were when they had their first job.

The results were as follows:

:15% were 14 years old;

50% were 15 years old;

20% were 16 years old;

15% were 17 years old.

We can that the highest percentage (i.e. 50% ) is of 15 years old students.

It means that the mode of the data set is 15 .

Hence, the correct answer is option (A).

Answer:

Refer below

Step-by-step explanation:

A function is said to be increasing if y increases whenever x increases and y decreases whenever x decreases.

A function is decreasing if y increases when x decreases or vice versa.

Hence from the graph we find that when the curve is going up when we move to right the function is increasing otherwise decreasing.

f(x) attains its extreme values at x = -8, -3, 2 and 6

Left of -8 we find f(x) is increasing.

ie.(-infty, -8) increases, (-8,-3)decreases, (-3,2) increases, (2,6) decreases and (6,infty) increases

To consolidate increasing in (-infty, -8)U(-3,2)U(6,infty)

and decreses in (-8,-3)U(2,6)

Answer:

The given equation is

⇒y≥[tex]\frac{1}{3x-2}[/tex]

As domain of the function is 3 x-2≠0

             x≠2/3

⇒For different values of x we get different values of y.

When,  x>2/3 , we get positive values of y.

So , y≥ 0

and  when x< 2/3 , we get values of y which are negative.

i.e y≤0

At x=2/3, function is not defined.So at that point there does not exist any value of y.

78.2% means that out of 100, 78.2 DO study. 100-78.2 gives you the amount of students that dont study (including me lol) which comes out to 21.8 . so since 21.8 out of 100 dont study, you can divide 21.8/100, and get your answer.

the answer is a

For this case we have:

You lose 180 calories by walking 30min, that is:

180cal ---------> 30min

If to lose 1 pound of fat, the person should burn 3500 calories, to lose 2 pounds should burn twice the calories, that is, 7000 calories.

You want to know how long it takes to burn 7000 calories, knowing that they burn 180 in 30min. So:

180cal ---------> 30min

7000cal -------> x

Where x represents the time that must be used to burn the 7000 calories.

Resolving we have:

[tex]x = \frac{(7000cal * 30min)}{180cal}\\[/tex]

[tex]x = 1166.7min\\[/tex]

If 1h has 60min, then:

[tex]x = \frac{ (1166.7min * 1h)}{60min}\\[/tex]

[tex]x = 19.44h\\\\x = (19h + 0.44h)\\[/tex]

0.44h equals [tex]0.44 * 60min = 26.4min\\[/tex]

Thus, for the person to burn 7000 calories and lose 2 pounds, he must walk [tex]x = 19h + 26.4min[/tex].

Answer:

[tex]x = 19h + 26.4min\\[/tex]

Option C.

Hello there! Thank you for asking your question here on brainly.

Answer: C. <3

Why?

We have 4 angles on each side. We have two sets of angles, so we have 8 angles. To tell how angles correspond, find where they are on the other side. Example, in this, the (2) on the top set of angles it on the top right. To find which one corresponds to the second one, look at the top right of the second set. 6 would be the answer to that. The (3) in this is on the bottom left on the first set, and the 7 on the second set is in the same place, the bottom left.

Hope this helped, and have an amazing day!! ♥~

varies directly means [tex]\frac{y}{x} = k[/tex]

inserting y = -18 and x = 3 ⇒   [tex]\frac{-18}{3} = k[/tex]   ⇒   -6 = k

next, insert k = -6 into the varies directly equation and solve for y. y = -6x

Answer: C

A handy conversion to remember is that 60 mph equals 88 feet per second.

Therefore, 50 mph will be (5/6) of 88 feet per second or 73.3333333333 feet per second.

a.9 kg 3hg 1cg x 9 =243^3hc

b. 11dg 4cg x 12=528dg^2c

c. 10g  5dg x 6= 300g^2

d.  480g^3dc

-i hope this helps

Answer:

a. 8370009 cg

b. 1368 cg

c. 630 dg

d. 4272 cg

Step-by-step explanation:

Since, 1 kg = 100000 cg,

1 hg = 10,000 cg,

1 dg = 10 cg,

1 g = 10 dg,

1 g = 100 cg,

a. So, 9kg 3hg 1cg × 9 = (900000+30000+1) × 9  = 930001 × 9 = 8370009 cg,

b. 11dg 4cg × 12 = (110 + 4) × 12 = 114 × 12 = 1368 cg,

c. 10g 5dg × 6 = ( 100 + 5 ) × 6  = 105 × 6 = 630 dg,

d. 5g 3dg 4cg × 8 = ( 500 + 30 + 4) × 8 = 534 × 8 = 4272 cg