Which of the following is the best use for the sign chart when graphing
rational functions?
O A. To determine if the graph of F(x) is straight or curved
O B. To determine the slope for the graph of F(x)
O C. To determine where the vertical asymptotes are for the graph of
F(x)
O
D. To determine where the maximum is for the graph of F(x)
SUBMIT

Problem 35

The bar graph is shown below

You simply draw various rectangles such that the heights represent the frequency of each animal type.

Eg: there are 20 elephants, so the "elephant" bar is 20 units tall.

You can make the bar graph by hand, or use spreadsheet software. I recommend going with software (if you can).

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Problem 36

1 book = 20 mm thickness

5 books = 5*20 = 100 mm thickness

1 paper = 0.016 mm thickness

5 papers = 5*0.016 = 0.08 mm thickness

total thickness = 100+0.08 = 100.08 mm

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Problem 37

121/11 = 11

121 = 11*11

If we say 11+11+11+...+11, and have 11 copies of these values added, then we get to a sum of 121

This is probably the easiest way to get the answer assuming repeated values are allowed.

You can stop here if your teacher allows you to use repeated values. If not, then move onto the next section.

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If your teacher requires you to add 11 different numbers, then you can follow this procedure

After carefully following those steps, you'll get this sequence (in the exact order shown):

{9, 7, 5, 3, 1, 11, 21, 19, 17, 15, 13}

There are three properties to notice of this sequence

That sequence we got sorts to {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21}

and we can say 1+3+5+7+9+11+13+15+17+19+21 = 121

[tex] \: \: \: \: \: \: \huge \rm{answer :} \: { \boxed{ \rm\frac{x}{2} }}[/tex]

[tex] \huge \blue{ \boxed{ \pink{\boxed{ \blue{\rm{armed} \: \pink{account}}}}}}[/tex]

[tex] \huge \rm\frac{x} {4} + \frac{x}{4} \\ \\ \huge \rm\frac{x + x}{4} \\ \\ \huge \rm \frac{2x}{4} \\ \\ \huge \blue{ \boxed{ \pink{ \rm \: \frac{x}{2} \: }}}[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

I hope you understood!✏

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

[tex] \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}[/tex]

[tex]\color{red}{==========================}[/tex]

✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ

✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ

Answer:

that is an unusual question...

there is no table present... I will assume a 10x10 addition table

6.  up one row subtracts 10 right one column adds one... so

the result is "subtract 9"

7. same logic as "6" result "subtract 53"

8.

Step-by-step explanation:

Step-by-step explanation:

A typically addition equation is

[tex]x +y = z[/tex]

where x and y is the addends and z is the sum.

Addends both play a role in what the sum will be and they are interchangble.

A addition table have rows and columns. If we move right or down, our sum will increase. If we move left or up, our sum will decrease.

Now let answer the question.

6. If we move the up one row( which is horinzontial), our sum will decrease by 1 then if we right one column our sum will increase by 1. So this means each value will stay the same.

7. If we move up 5 rows, our sum will decrease by 5. If we move to left 3 columns, our sum will increase by 3. So all of our values will decrease by 2.

The number should be 4 less than you choose.

Answer:

line r or MB

Step-by-step explanation:

Answer:

only line r

Step-by-step explanation:

the question is what is perpendicular to (has an angle of 90 degrees with) AM.

line r is.

line s has no right angle with AM (even the extended line beyond these points).

MB is parallel to AM. in fact it is on the same line. so, they have 0 degrees and not 90.

JK is just a part of line s, and the same as for line s applies.

Answer:

Box A have greater volume because it will be having more mass than Box B

Answer: 230 - the total amount of sweets.

Step-by-step explanation:

Adrian received 8 pieces of sweets;

Ben got 5 pieces of sweets;

Charlie received 10 pieces of sweets.

The sum of all parts:

8 + 5 + 10 = 23

Let's calculate how many parts Charlie got more than Adrian:

10 - 8 = 2

It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.

20 : 2 = 10

Now we can calculate the total amount of sweets:

10 × 23 = 230

Our point is at -5, 3. -5 represents its x coordinate, and 3 represents its y coordinate. 3 units right makes it -2, while 2 units down makes it 1. Final coords of the point are (-2,1).

Answer:

given point is (-5,3)

right unit means positive and down unit means negative so,

image of (-5,3)---------->(-5+3-2,3+3-2)

=>(-7+3,6-2)

=>(-4,4) ANS.

Answer:

Option C.

Step-by-step explanation:

First, let's define the transformations used here:

We can see that the red graph is shifted horizontally to the right, and that is reflected across the x-axis:

Horizontal shift:

For a general function f(x) an horizontal shift of N units is written as:

g(x) = f(x + N)

where:

If N > 0, the shift is to the left

if N < 0 , the shift is to the right.

Reflection across the x-axis.

For a function f(x), a reflection across the x-axis is just written as:

g(x) = -f(x)

So, if here we have a reflection across the x-axis and a horizontal shift of one unit to the right, we would write the equation for the red graph as:

g(x) = -f(x)     (only for the reflection)

g(x) = -f(x - 1)    (for the reflection and the shift)

Then the graph of the red function is:

y = -f(x - 1)

We can rewrite this as:

y = -1*f(x - 1)

dividing both sides by -1 we get:

y/-1 = f(x - 1)

This is what we can see in option C, so the correct option is C.

Answer:

first option is correct

Step-by-step explanation:

finding area for upper rectangle

length = 16 miles

breadth = (2x - 1) miles

area of rectangle = l*b

=16 *(2x - 1)

16*2x - 16*1

=32x - 16

finding area for another rectangle

length = (5x + 5) miles

breadth = 4 miles

area of rectangle = l*b

= (5x + 5) * 4

=5x*4 + 5*4

=20x + 20

area of the figure = area of upper rectangle + area of another rectangle

=32x - 16 + 20x + 20

= (52x + 4) sq mi

Answer:

a ≈ 6.5 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cube Formula: V = a³

Step-by-step explanation:

Step 1: Define

Identify

V = 270 cm³

Step 2: Solve for a

Answer:

The length of it's side is 6.5 cm.

Step-by-step explanation:

Here's er have given that the Volume of cube is 270 cm³. And we have to find the length of its side rounded to 1DP.

To find the length of its side we apply the formula ; Volume of cube and then simplify .

Volume of cube = ( a )³

plug the values

270 cm ³ = a³

Taking cube root of both side

[tex] \small \sf \sqrt[3]{270 \: cm {}^{3} } = \sqrt[3]{a {}^{3} } [/tex]

6.4633 cm = a

Rewrite

a = 6.4633 cm

Round nearest to 1DP

a ≈ 6.5 cm

Hence , Length of it's side is 6.5 cm.

Answer:

p = 1.4

Step-by-step explanation:

The ratio of sides is the same

p/4.2 = 1.7/5.1

multiply both sides by 4.2

p = 1.7/5.1 * 4.2

p = 1.4

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

Explanation:

JK = LM because opposite sides of a parallelogram are the same length.

Side LM is p units long, where p is a placeholder for a number.

To determine what number replaces p, we can form the proportion shown below

BC/KL = CD/LM

Refer to the drawing below. I've circled the corresponding pieces. Note the color coding. Other equations are possible.

-----------

So,

BC/KL = CD/LM

(5.1)/(1.7) = (4.2)/p

5.1p = 1.7*4.2 ....................... cross multiply

5.1p = 7.14

p = (7.14)/(5.1)

p = 1.4

Answer: X= 25 degrees

Step-by-step explanation:

A triangle is 180 degrees.

115+40=165

180-165=25 degrees

in a sale, normal prices are reduced by 10%

nathalie bought a pair of shoes in the sale for £54

what was the original price of the shoes

[tex]x = 60[/tex]

Explanation

[tex] \sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01} [/tex]

[tex] \sf calculate \: the \: sum \: difference: x = \frac{54}{0.9} [/tex]

convert decimal to fraction: x= 54 / 9 / 10

[tex] \sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9} [/tex]

[tex] \sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9} [/tex]

[tex] \sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \: [/tex]

[tex] \sf \: common \: factor : x = 6 \times 10[/tex]

[tex] \sf \: calculate \: the \: product \: or \: quotient : x = 60 [/tex]

[tex] \sf{ \boxed{answer : x = 60}}[/tex]

Step-by-step explanation:

r=21cm

a=135

perimeter=2r+ar

=2×21+135×21

=42+2835

=2877cm

Answer:

camino 5 kilometros

Step-by-step explanation:

2-3+5

Step-by-step explanation:

4(2.8*4.5)=50.4

50.4/12= 4.2

4.2 means 5 tins of paint

£52.5 =price

Step-by-step explanation:

i have explained in the paper.

Goodluck

Answer:

80

Step-by-step explanation:

......................................

Answer:

166degrees

Step-by-step explanation:

Using the theorem which states that the angle at the vertex is twice the angle at the intercepted arc

Angle at the vertex <MNO = 83degrees

Angle at the arc =  m<MLO

According to the theorem

83 = 1/2(m<MLO)

m<MLO = 83 * 2

m<MLO = 166degrees

Hence the measure of angle MLO is 166degrees

Answer:

3.02 is the answer for this question if the answer is correct plz mark me as brainliest

Answer:

3.02

Step-by-step explanation:

51.34 ÷ 17 = 3.02

Answer:

(x+5)²+(y-4)²=17

Step-by-step explanation:

I think it's safe to assume that the (-5,4) coordinate is in the center

To find the x and y coordinate just flip the signs

which means it would look like

(x+5)²+(y-4)²=?

the question mark is equal to the raidus squared

to find the radius use the distance formula

√((-4+5)²+(8-4)²)= 4.123106

square this to get 17

the final answer is then

(x+5)²+(y-4)²=17

Answer:

Option B

Step-by-step explanation:

For increasing function in the interval (a, b),

"If we draw a tangent at any point on the graph in the given interval (a, b), slope of the tangent drawn will be positive"

Given function is,

[tex]f(x)=\frac{1}{2}x^2+5x+6[/tex]

In the interval (-∞, -5),

Graph is moving downwards therefore, tangents drawn at any point will have a negative slope and the function will decrease in this interval.

In the interval (-5, ∞),

In the given interval any tangent drawn at any point will have a positive slope and the function will be increasing.

Therefore, interval in which the function is increasing → (-5, ∞)

Option B is the answer.

The interval in which the function decreases is (-∞, -5).

The function decreases when, reading from left to right, the graph of the function goes downwards.

By looking at the graph, we can see that the graph goes downwards on the interval negative infinity and -5

Then we conclude that the function decreases on the interval (-∞, -5).

If you want to learn more about functions:

https://brainly.com/question/4025726

#SPJ5

Answer:

19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

m = 4

n = 31

n - 3m

Step 2: Evaluate

Hi there!  

»»————-　★　————-««

I believe your answer is:  

19

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\n-3m;\text{ } m= 4, n = 31\\---------\\\rightarrow 31-3(4)\\\\\rightarrow 31 - 12\\\\\rightarrow \boxed{19}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

7 nickles

8 dimes

4 quarters

Step-by-step explanation:

q

d = 2q

n = q+3

25q + 10d + 5n = 215

25q + 10(2q) + 5(q + 3) = 215

25q + 20q + 5q - 15 = 215

50q = 200

q = 4

d = 2q = 8

n = q + 3 = 7

Answer:

the solutions of x^2=16x-28 are

2) 2 and 14

Answer:

a)Fourth coordinate (- 4 , 1 )

b)Dimension : 6 unit by 3 unit

c)Area = 18 square units

Step-by-step explanation:

Given coordinates A = ( 2 , 1) , B = ( 2 , 4 ) , C= ( -4 , 4)

Find D.

Let D = (x , y)

For a rectangle, mid point of diagonal are same.

[tex]Mid - point \ of \ AC = ( \frac{2-4}{2}, \frac{4+1}{2}) = (-1, 2.5)\\\\Mid - point \ of \ BD = ( \frac{x+2}{2}, \frac{y+4}{2} )[/tex]

Since mid-points are same. Equate :

[tex]\frac{x+2}{2} = -1\\\\x+2 = -2\\\\x = -4[/tex]                

[tex]\frac{y+4}{2} = 2.5\\\\y + 4 = 5\\\\y = 1[/tex]

a)

Therefore, D = ( -4, 1)

Since parallel sides of a rectangle are the same.

We will find the length of the sides using distance formula.

Distance between ( 2, 1 ) and ( 2, 4)

[tex]Distance_{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2-2)^2 + (4-1)^2 } = \sqrt{9} = 3[/tex]

AB = 3

Distance between ( 2 , 4 ) and ( -4 , 4)

[tex]Distance_{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2--4)^2 + (4-4)^2 } = \sqrt{36} = 6[/tex]

BC= 6

CD is parallel to AB , therefore CD = 3

AD is parallel to BC,  therefore AD = 6

b) Dimensions : length = 6 , breadth = 3

c) Area = Length x Breadth

           = 6 x 3

           = 18 square units

Answer:

x = 30 ml of 10%

50 - x = 20 ml of 15%

Step-by-step explanation:

0.10x + 0.15(50 - x) = 0.12(50)

distribute

0.10x + (7.5 - 0.15x) = 6

Combine like terms

-0.05x = -1.5

Divide both sides by -0.05

x = 30 ml of 10%

50 - x = 20 ml of 15%

Answer:

D. g(x) = 3·x²

Step-by-step explanation:

The given parent function, f(x) = x²

The graph of the function, g(x) is narrower than the graph of the function f(x)

Therefore, the coefficient of the quadratic function is larger than 1

The given point on the parabola, g(x) = (1, 3)

Therefore. when x = 1, g(x) = 3

However, when x = 1, f(x) = 1

Therefore, given that g(x) = a·f(x), we get;

a = g(x)/(f(x)) = 3/1 = 3

g(x) = 3·x²

Answer:

7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four

Answer:

tens of thousands

Step-by-step explanation: