Use the given graph to determine the limit, if it exists.
Find lim f(x) x\to 3

A. -1

B. 7

C. -3

D. Does not exist

Answer:

-3 <= x <=8

Step-by-step explanation:

-16 -3|2x-5| >= -49

The first step is to get the absolute value alone.   We need to add 16 to each side.

-16+16 -3|2x-5| >= -49+16

-3|2x-5| >= -33

Now divide each side by -3.  This will flip the inequality.

(-3/-3)|2x-5| =< -33/-3

|2x-5| =< 11

This is where we can separate the absolute value inequality into 2 pieces, one positive and one negative.  Remember to flip the inequality symbol when we take the negative inequality.

2x-5 <=11    and 2x-5>=-11

Add 5 to each side.

2x-5+5 <=11+5    and 2x-5+5>=-11+5

2x<=16                 and  2x>=-6

Divide by 2 on each side.

2x/2<=16/2                 and  2x/2>=-6/2

x <=8        and   x >=-3

Rewrite as a compound inequality

-3 <= x <=8

Answer:

Given the system of equation:

[tex]y = -x + 2[/tex] and

[tex]y =4x+7[/tex]

Table for the equation [tex]y = -x + 2[/tex] ;

x                y

-1               -3

0              2

1                1

2               0

Then, the points for this equations are: (-1, -3), (0, 2) , (1, 1 ) and (2, 0)

Also, table for the equation: [tex]y =4x+7[/tex]

x               y

-1.75         0  

-1              3

0              7

1               11

Then, the points for this equations are: (-1.75, 0) , (-1, 3) , (0, 7) and ( 1, 11)

Using Point tool , we plot these points of the given system of equation on the Cartesian plane.

You can see the graph as shown below in the attachment.

Also, the two lines intersects at (-1, 3)      

Therefore, the apparent solution for the given system of equation is; (-1, 3)

Final answer:

To find the apparent solution to the system of equations, you need to solve the equations simultaneously. The apparent solution to the given system of equations is (-1, 3).

Explanation:

To find the apparent solution to the system of equations, we need to solve the equations simultaneously. The given equations are:

y = -x + 2

y = 4x + 7

We can solve these equations by setting them equal to each other:

-x + 2 = 4x + 7

Now, we can solve for x:

-x - 4x = 7 - 2

-5x = 5

x = -1

Substituting this value of x back into either of the original equations, we can find the corresponding value of y:

y = -(-1) + 2

y = 3

Therefore, the apparent solution to the system of equations is (-1, 3).

Answer:

$.02 per ounce

Step-by-step explanation:

To find the cost per ounce, we take the cost and divide by the ounces

Brand A

$1.28 / 8

$.16 per ounce

Brand B

$1.68/12

$.14 per ounce

To find the difference, we subtract the smaller from the larger

$.16 -$.14

$.02 per ounce

Answer:

oof

Step-by-step explanation:

Answer:

The Answer is 2.25

Answer:

2.375    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

2  3/8 = 2.375

divide 3 by 8 and you will get the .375

The whole number of 2 will be to the left of the decimal to represent a whole number.

Answer:

-3

Step-by-step explanation:

hm this is a  little tricky!

so on a number line, -3 will be behind -2 because it is less than the two since it is negative. If we have 4/5 and 1/5 we will need to think what comes between them.

5/5 and 0/5  

which means that -3 comes between them both

First and foremost, notice that because the two integers are negative,  [tex]- 2\frac{4}{5}[/tex] is greater than the other number [tex]-3 \frac{1}{5}[/tex] .  As just a result, a number less than  [tex]- 2\frac{4}{5}= -\frac{14}{5}[/tex] and greater than [tex]- 3 \frac{1}{5}= -\frac{16}{5}[/tex]  means a value between such two integers.

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[tex]l-length\\w-width\\\\\text{The formula of an area of a rectangle:}\ V=lw\\\\\text{We have the area}\ 540\ m^2\to lw=540\\\\\text{New rectangle}\\\\l-5-length\\w+5-width\\\\\text{We have the area}\ 540\ m^2+35\ m^2=575\ m^2\to (l-5)(w+5)=575\\\\\text{Therefore we have the system of equation:}\\\\\left\{\begin{array}{ccc}lw=540&\to w=\dfrac{540}{l}&(*)\\(l-5)(w+5)=575&&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**)[/tex]

[tex](l-5)\left(\dfrac{540}{l}+5\right)=575\qquad\text{use distributive property}\\\\(l)\left(\dfrac{540}{l}\right)+(5)(l)-(5)\left(\dfrac{540}{l}\right)-(5)(5)=575\\\\540+5l-\dfrac{2700}{l}-25=575\\\\515+5l-\dfrac{2700}{l}=575\qquad\text{subtract 575 from both sides}\\\\-60+5l-\dfrac{2700}{l}=0\qquad\text{multiply both sides by }\ l\neq0\\\\-60l+5l^2-2700=0\\\\5l^2-60l-2700=0\qquad\text{divide both sides by 5}\\\\l^2-12l-540=0\\\\l^2+30l-18l-540=0\\\\l(l+30)-18(l+30)=0\\\\(l+30)(l-18)=0\iff l+30=0\ \vee\ l-18=0\\\\l=-30<0\ \vee\ \boxed{l=18\ cm}[/tex]

[tex]\text{Substitute the value of}\ l\ \text{to}\ (*):\\\\w=\dfrac{540}{18}\\\\\boxed{w=30\ cm}[/tex]

[tex]Answer:\ \boxed{length=18\ cm,\ width=30\ cm}[/tex]

The original dimensions of the rectangle are 30 meters in length and 18 meters in width.

We need to find the dimensions of the original rectangle given an area of 540 sq m and the changes in area after altering the dimensions. Let's represent the length of the rectangle as L meters and the width as W meters.

From the information provided:
Original Area: L * W = 540
New Area: (L - 5) * (W + 5) = 540 + 35

By solving these equations step-by-step:

L  * W = 540

(L - 5)(W + 5) = 575
LW + 5L - 5W - 25 = 575
LW - 5(W - L) - 25 = 575
Substitute the original area (LW = 540):
540 - 5(W - L) - 25 = 575
-5(W - L) = 60
W - L = -12

Now we have two simultaneous equations:
L * W = 540
W - L = -12

We can solve these equations for L and W.

Solving the system of equations, we get:

L = 30 meters
W = 18 meters

Therefore, the original dimensions of the rectangle are 30 meters in length and 18 meters in width.

Answer:

B is the answer

Step-by-step explanation: B is the answer because 10^4 is 10*10*10*10 which is 10000 so 10000 times 1.67 is 16700

Answer:

1. Use this form V = πr²h to obtain around π(4)² * 5 ≈ 251.3 m³  

2. Multiply all the lengths of the sides to obtain this volume 42 in³  

3. Multiply all the lengths of the sides and divide that by 2 to obtain 154 cm³  

Try the rest of the problems by yourself... Remember that:  

V = Ah where A is the area of the base.  

Step-by-step explanation:

Question :-

Answer :-

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4 \: m)^2(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(16 \:m^2)(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (50.24 \:m^2)(5 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 251.2 \: m^3}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979

Have a great day! <33

[tex]21a^2b^5+49a^4b^3=(7a^2b^3)(3b^2)+(7a^2b^3)(7a^2)=7a^2b^3(3b^2+7a^2)[/tex]

Answer:

2.5 hours

Step-by-step explanation:

25 miles/10 mph= 2.5 hours

Answer:

The awnser is 2.5 because,

Step-by-step explanation:

.25 divided by 10 = 2.5

The decimal moves one time to the left because there is ONE zero (0) in 10.

[tex]-6x+12y=24\\\\x-intercept\ for\ y=0:\\\\-6x+12(0)=24\\-6x=24\qquad\text{divide both sides by (-6)}\\\boxed{x=-4}\to(-4,\ 0)\\\\y-intercept\ for\ x=0:\\\\-6(0)+12y=24\\12y=24\qquad\text{divide both sides by 12}\\\boxed{y=2}\to(0;\ 2)[/tex]

Answer:

y^3/(27 x^3)

Step-by-step explanation:

Simplify the following:

((3 x)/y)^(-3)

((3 x)/y)^(-3) = (y/(3 x))^3:

(y/(3 x))^3

Multiply each exponent in y/(3 x) by 3:

(y^3)/((3 x)^3)

Multiply each exponent in 3 x by 3:

y^3/(3^3 x^3)

3^3 = 3×3^2:

y^3/(3×3^2 x^3)

3^2 = 9:

y^3/(3×9 x^3)

3×9 = 27:

Answer:  y^3/(27 x^3)

Answer:

Graph 2.

Step-by-step explanation:

When you replace x with x - h, the functions shifts horizontally h units.

Here you are replacing x with x + 4. To write x + 4 in the x - h form, you must write x - (-4) making h = -4. f(x + 4) has a shift of -4 units, or 4 units to the left, compared to f(x).

The function f(x) = x^3 included point (0, 0). It goes up to the right of (0, 0), and down tot eh left of (0, 0).

The answer is graph 2. which shows a shift of 4 units to the left compared with the graph of f(x) = x^3.

The department store's percent markup on the shirts is 25%. This was determined by dividing the markup price by the cost price and then multiplying by 100.

The question asks to find the percent markup of shirts by a department store. First, we need to determine the cost per shirt, which we do by dividing the total cost by the number of shirts. In this case, $6,400 divided by 400 gives us a cost of $16 per shirt.

Next, we subtract the cost from the selling price to find out the markup per shirt. So, $20 (selling price) minus $16 (cost price) gives us a markup of $4 per shirt.

To find the percent markup, we divide the markup by the cost price and multiply by 100. Hence, $4 (markup price) divided by $16 (cost price), and then multiplied by 100, results in a 25% markup.

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Answer:

64 plants/32 seed packets =

2 plants/seed packet

90 plants ÷ 2 plants/seed packet =

45 seed packets

Answer:

To make the figures smaller, scale factor must be divided.  

Step-by-step explanation:

1) Firstly, consider a pentagon ABCDE, if we take the scale factor 1\3, the dilations will be smaller.

As distance between A and B = 6

after dilation, distance between A' and B' = 2

Similarly continuing for each side, we get the figure smaller A'B'C'D'E' which is smaller than the original figure.

2) Secondly, consider a hexagon ABCDEF, if we take scale factor 1\2, the dilated figure will be smaller.

A s distance between A and B = 4

After dilations, distance between A' and B' = 2

Similarly continuing for each side, we get the figure A'B'C'D'E'F' which is smaller than the original figure.

Final answer:

Two scale factors that make figures smaller, according to Ms. Hussain's claim, are 2 inches to 8 feet (1/48) and 6 inches to 48 feet (1/96), as they are both less than one and would result in smaller dilated figures.

Explanation:

To support Ms. Hussain's claim that some dilations make figures smaller, we look for scale factors that are less than one because these scale factors reduce the size of the original figure. When reviewing the scale factors presented:

The scale factors that make the figures smaller are 2 inches to 8 feet (which simplifies to 1/48) and 6 inches to 48 feet (which simplifies to 1/96), since both are less than 1. The original figures are 48 times and 96 times larger than their dilated figures, respectively. Both of these would result in a decrease in size when the original figures are dilated using these factors.

Answer:

(0) no solutions.

Step-by-step explanation:

You are given two inequalities:

[tex]y>3x+9,\\ \\y<3x-1.[/tex]

The signs of both inequalities are > and < (without notion "or equal to"), then the boundary lines should be dotted lines. Each of these dotted lines divides the coordinate plane into two parts. You have to determine which of these parts you have to choose.

Substitute the coordinates of the origin (0,0) into these inequalities:

[tex]0>3\cdot 0+9\Rightarrow 0>9,\\ \\0<3\cdot 0-1\Rightarrow 0<-1.[/tex]

Both results are false inequalities, this means that origin doesn't belong to the shaded region. So you have to choose those parts, that do not contain origin (see attached diagram).

As you can see, shaded regions do not intersect (because lines y=3x+9 and y=3x-1 are parallel), so the system has no solutions.

Answer:

no solution

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The simplest way to find the number is work backwards. If you know the final answer is 10, start with 10 and make the number x. Then set up the original equation.

0.5x-25=10

Then start working backwards(isolate).

0.5x-25=10

      +25  +25

in other words, 10+25=0.5x. (the 25 cancels out because -25+25=0)

10+25=35, so 35=0.5x.

Now, instead of dividing by 2, multiply by 2(opposite again).

35=0.5x

/0.5(aka *2)     /0.5(cancels out)

now you are left with 70=x, so the number is 70.

Based on the given table,  the cost for 11 parts would be approximately $4.95.

How to determine the cost for 11 parts

To determine the cost for 11 parts,  find the corresponding cost per part from the given table.

Let's analyze the given data:

Number of parts: 2, 7, 12, 15

Cost ($): 0.90, 3.15, 5.40, 6.75

We can observe that the cost per part increases as the number of parts increases.

To calculate the cost for 11 parts, interpolate between the quantities given in the table.

Using linear interpolation, find the cost for 11 parts as follows:

First,  determine the cost per part for 7 parts and 12 parts:

Cost for 7 parts = $3.15

Cost for 12 parts = $5.40

To find the cost for 11 parts, interpolate between these two values:

Cost for 11 parts ≈ Cost for 7 parts + [11 - 7] / [12 - 7] * (Cost for 12 parts - Cost for 7 parts)

Cost for 11 parts ≈ $3.15 + [11 - 7] / [12 - 7] * ($5.40 - $3.15)

Calculating this expression:

Cost for 11 parts ≈ $3.15 + 4/5 * ($5.40 - $3.15)

Cost for 11 parts ≈ $3.15 + 4/5 * $2.25

Cost for 11 parts ≈ $3.15 + $1.80

Cost for 11 parts ≈ $4.95

Therefore, the cost for 11 parts would be approximately $4.95.

A factory makes parts for toys in different quantities, as shown in the table. how much would 11 parts costs

number of parts: 2, 7, 12, 15

cost($): 0.90, 3.15, 5.40, 6.75

A) B=3V/h

Multiply both sides by 3 to get 3V=Bh. Divide both sides by h, and you get 3V/h=B

Answer:

A) B = 3V/h

Step-by-step explanation:

Given: The formula for the volume of a pyramid is V=1/3Bh.

From the above equation, we have to solve for B.

We use inverse operation to find B.

Multiply by reciprocal of 1/3 on both sides. the reciprocal of 1/3 is 3.

So, multiply by 3 on both sides, we get

3V = 3*1/3*B*h

3V = B*h

Now divide both sides by h, we get

3V/h = Bh/h

3V/h = B

Therefore, the answer is A) B = 3V/h

Hi There!

Answer:

30 quaters.

15 dimes.

Step-by-step explanation:

Quarter = $0.25

Dime = $0.10

Quarters: 0.25 * 30 = $7.50

Dimes: 0.10 * 15 = $1.50

Check: 7.50 + 1.50 = $9

Hope This Helps :)

Answer:

C is the correct answer.

Answer: P(G even and W>2) = 1/3 or 0.333 or 33.3%

Step-by-step explanation:

Independent events multiply probabilities,

P(G even)=1/2, P(W>2)=2/3, P(G even and W>2)= 1/2 × 2/3 = 1/3.

Without using definition of "independent events", or rules referring to them, I use sample space S of 36 points, and P(event) = #(event)/#(sample space).

Points are labeled with two digits, left is green die, right is white die. S = {11,12,13,14,15,16,21,...26,...,61,...,66}, and #(S)=36.

An event E is a subset of S, and

0 <= #(E) <= #(S) = 36.

Event G even is GE={21,22,23...,41,42,...,61,...,66},

#(G even)=18

Event "W>2" = W2 ={13,14,15,16,23,24...,63,64,65,66},

#(W>2)=24.

Event G even and W>2 GEW2={23,24,25,26,43,44,45,46,63,64,65,66),

#(GEW2)=12

P(GEW2)=#(GEW2)/#(S)=12/36=1/3=33.3%

To find the probability of the green cube landing with an even number face up and the white cube landing with a number greater than 2 face up, multiply the probabilities of each event happening. The probability is 1/3.

To find the probability that the green cube will land with an even number face up and the white cube will land with a number greater than 2 face up, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The green cube has 3 even numbers (2, 4, and 6) out of 6 faces, so the probability of the green cube landing with an even number face up is 3/6 or 1/2.

The white cube has 4 numbers greater than 2 (3, 4, 5, and 6) out of 6 faces, so the probability of the white cube landing with a number greater than 2 face up is 4/6 or 2/3.

To find the probability of both events happening, we multiply the probabilities: (1/2) * (2/3) = 1/3.

Therefore, the probability that the green cube will land with an even number face up and the white cube will land with a number greater than 2 face up is 1/3. Option C, 1/3, is the correct answer.

Answer:

sales tax = 2.25

Step-by-step explanation:

To find the sales tax, we multiply the list price by the tax rate

We need to convert the tax rate of 5% to decimal form 5% = .05

sales tax = 45 * .05

sales tax = 2.25

Hey there!

You could solve those equations many ways but, here's a more "Easier way" to  solve that

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Answer:     9.6

Step-by-step explanation: A percent is like a decimal so 15% would be 0.15 so if you use that for this you must multiply 32 hours by the 30%/0.30 to find the answer

Answer: 90%

Step-by-step explanation:

Step 1: You would get the greater value (50) and the lower value (26). You would subtract those numbers.

Step 2: You would get 24 when you subtract those numbers. Divide that number by 26.

Step 3: This is optional. You can simply those numbers to make it easier to divide.

Step 4: Divide

Step 5: You would get 0.9230769

Step 6: Move the decimal point 2 times to the right. So you would get 92%

Answer:

The answer is 150

Step-by-step explanation:

It's 150 because ye evening sales are three times of his afternoon sales.

SO that means you have to times 50x3=150 or you can add 50+50+50=150. there is your answer.

Answer:

150

the answer is 150 need points for a challenge

Answer:

First solve for x or y in the first equation. Then substitute that number in the second equation for its same variable. Solve the second equation for that variable. Now you have your first number. Now you want to take that number and substitute it back into the first equation to find your second value. Put your two values in an ordered pair (x, y)

Step-by-step explanation: