h(r) = (r +1)(r+8)1) What are the zeros of the function?Write the smaller r first, and the larger second.smaller r =larger s 2) What is the vertex of the parabola

Answers

Answer 1

For the zeros of the function, we have to solve h(r)=0, therefore:

[tex]\begin{gathered} h(r)=(r+1)(r+8) \\ h(r)=0 \\ \Rightarrow(r+1)(r+8)=0 \\ \Rightarrow r=-1\text{ or } \\ r=-8 \end{gathered}[/tex]

then, the smaller r is -8 and the larger is -1.

Now, to find the vertex of the parabola, we can find the x-coordinate of the vertex from the general rule:

[tex]\begin{gathered} f(x)=ax^2+bx+c \\ \text{ x-coordinate: -b/2a} \end{gathered}[/tex]

In this case, we have the following:

[tex]\begin{gathered} h(r)=(r+1)(r+8)=r^2+8r+r+8=r^2+9r+8 \\ \Rightarrow a=1,b=9 \\ \Rightarrow-\frac{b}{2a}=-\frac{9}{2(1)}=-\frac{9}{2} \end{gathered}[/tex]

now that we have the x-coordinate of the vertex, we just evaluate the function on that point to find the y-coordinate of the vertex:

[tex]h(-\frac{9}{2})=(-\frac{9}{2}+1)(-\frac{9}{2}+8)=(-\frac{7}{2})(\frac{7}{2})=-\frac{49}{4}[/tex]

therefore, the vertex of the parabola is the point (-9/2,-49/4)


Related Questions

The probability that John recieves junk mail is 11 percent. If he receives 94 pieces of mail in a week, about how many of them can he expect to be junk mail.a. 5 b. 15 c. 10 d.20

Answers

10 (option C)

Explanation:

The probability of getting a junk mail = 11%

Number of mails received = 94

Amount that will be junk mail = The probability of getting a junk mail × Number of mails received

Amount that will be junk mail = 11% × 94

= 0.11 × 94 = 10.34

Since we can't have decimal number of mails, we would approximate to the nearest whole number

10.34 to the nearest whole number is 10

Hence, 10 junk mails are expected

K
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in
the table.
Drive-thru Restaurant D
B C
D
280
245
122
60
32
12
A
Order Accurate
331
Order Not Accurate 38
If one order is selected, find the probability of getting an order that is not accurate or is from Restaurant C. Are the events of selecting an order that is not accurate and
selecting an order from Restaurant C disjoint events?
The probability of getting an order from Restaurant C or an order that is not accurate is
(Round to three decimal places as needed.)
Are the events of selecting an order from Restaurant C and selecting an inaccurate order disjoint events?
disjoint because it
possible to
The events

Answers

The probability is 0.236 and the events are not disjoint​ events

Given,

The data;

                                  A       B      C     D

Order accurate      ; 280   245   122  331

Order not accurate; 60     32     12     38

The probability of getting an order that is not accurate or is from Restaurant C

This is illustrative of

P(Not accurate or Restaurant C) (Not accurate or Restaurant C)

The calculation is

P(Not accurate or Restaurant C) is equal to [n(Not accurate) + (Not accurate and Restaurant C) - n(Restaurant C)] /Total

Thus, we have

P(Not accurate or Restaurant C) is calculated as follows: (60 + 32 + 12 + 38 + 122 + 12 - 12)/(280 + 245 + 122 + 331 + 60 + 32 + 12 + 38).

Analyze the difference and the total.

Restaurant C or P(Not accurate) = 264/1120

Assess the quotient.

P(Not accurate or Restaurant C) = 0.236

Last but not least, choosing an incorrect order and choosing an order from Restaurant C are not separate events.

This is because choosing an inaccurate order from restaurant C is a possibility.

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Find conditions on k that will make the matrix A invertible. To enter your answer, first select 'always', 'never', or whether k should be equal or not equal to specific values, then enter a value or a list of values separated by commas.

Answers

To be a matrix to be invertible the determinant of the matrix must be non zero thus for k ≠ 2 the matrix will be invertible.

What is a matrix?

matrix, a collection of numbers lined up in rows and columns to produce a rectangular array.

In computer graphics, where they have been used to describe picture transformations and other alterations.

The elements of the matrix, also known as the entry, are the numerals.

A matrix will be invertible only and only if the determinant is non-zero.

Given the matrix A.

The determinant of A is that |A| will be,

|A| = -3(8 - 8) - 0(-k + 2) - 3(-4k + 8) ≠ 0

0 + 0 + -3(-4k + 8) |A| ≠ 0

-4k + 8 ≠ 0

-4k ≠ -8

k ≠ 2

Hence "To be a matrix to be invertible the determinant of the matrix must be non zero thus for k ≠ 2 the matrix will be invertible".

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need help with this question please help

Answers

Let:

[tex]k\cdot RT=TU[/tex]

Where:

k = Constant of proportionality

[tex]\begin{gathered} k\cdot4=6 \\ solve_{\text{ }}for_{\text{ }}k \\ k=\frac{6}{4} \\ k=\frac{3}{2} \end{gathered}[/tex]

So:

[tex]\begin{gathered} k\cdot RS=UV \\ \frac{3}{2}(6)=UV \\ \frac{18}{2}=UV \\ UV=9 \end{gathered}[/tex]

Graph the inequality
y<= -(2/3)|x-3|+4
Please show how

Answers

We have the following inequality

[tex]y\leq-\frac{2}{3}\lvert x+3\rvert+4[/tex]

We must graph this inequality, In order to understand this I will explain term by term

But first, we must remember that in mathematics, the absolute value or modulus of a real number x, denoted by |x|, is the non-negative value of x regardless of the sign, positive or negative. This must be taken into account for the |x+3| term.

That is to say that the value will always be assumed by its magnitude and we will tend to have the same behavior on both the negative and positive x-axis.

Taking this into account and that the slope is -2/3 the graph would look like this:

Now, we must remember two rules of function translation, these are as follows:

y = f(x) original funtion

y = f(x+c) it is moved horizontally "c" units to the left

y = f(x)+c it moves vertically "c" units upwards

So taking into account these rules our graph is shifted 3 units to the left and 4 units upwards.

In conclusion, this graph looks like this:

If quadrilateral WXYZ is transformed using the rule T(-1.2), in whatdirections should WXYZ be translated?O 1 unit down, 2 units rightO 1 unit left, 2 units upO 1 unit up, 2 units leftO 1 unit right, 2 units up

Answers

[tex]undefined[/tex]

For circle H, JN = x, NK = 8, LN = 4, and NM = 20.Solve for x.

Answers

Solution

Consider the illustration below

Using the idea of the illustration above,

[tex]JN\text{ x NK = LN x NM}[/tex][tex]\begin{gathered} x\text{ x 8 = 4 x 20} \\ 8x=80 \\ x=\frac{80}{8} \\ x=10 \end{gathered}[/tex]

The answer is 10

Two cars are driving on the same road, in the same
direction. They start driving from the same place and are
traveling at a constant speed. The second car started
driving 1.5 hours after the first car started driving. If the
second car drives 60 miles per hour and the first drives 40
miles per hour, how many miles will each car have
traveled when the second car catches up to the first?

Answers

Answer:

180 miles

Step-by-step explanation:

distance = rate x time

t = time

1st car:

distance = 40t

2nd car:

distance = 60(t - 1,5)

When the car catch up to each other the distances will be the same, so set the equation equal to each other.  Calculate the time and then put the time back into either equation and solve for the distance.

40t = 60(t-1.5)  Distribute the 60

40t = 60t -(60)1.5

40t = 60t - 90  Subtract 60t from both sides of the equation

-20t = -90  Divide both sides by -20

t = 4.5

Now that we know the time, substitue that back into either equaiton and solve for the time

distance = 40 (4.5)

180 miles

A glacier in Republica was observed to advance 22inches in a 15 minute period. At that rate, how many feet will the glacier advance in one year?

Answers

To fins the rate in feet/year we must change first the measurements to the units required

inches to feat

minutes to years

[tex]22in\cdot\frac{1ft}{12in}=\frac{11}{6}ft[/tex][tex]15\min \cdot\frac{1h}{60\min}\cdot\frac{1day}{24h}\cdot\frac{1year}{365\text{days}}=\frac{1}{35040}\text{years}[/tex]

to find the rate divide the distance over the time

[tex]\frac{\frac{11}{6}ft}{\frac{1}{35040}\text{year}}=\frac{11\cdot35040ft}{6\text{year}}=\frac{385440}{6}=\frac{64240ft}{\text{year}}[/tex]

I
Three relationships are described below:
I. The amount of time needed to mow a yard increases as the size of the yard increases.
II. The amount of timeneeded to drive from city A to city B decreases as the speed you are driving increases.
III. The income of a worker who gets paid an hourly wage increases as the number of hours worked increases and
increases as the salary rate increases.
What type of variation describes each relationship?

Answers

The type of variation that describes each relationship include the following:

Direct variation: the amount of time needed to mow a yard increases as the size of the yard increases.Indirect variation: the amount of time needed to drive from city A to city B decreases as the speed you are driving increases.Joint variation: the income of a worker who gets paid an hourly wage increases as the number of hours worked increases and increases as the salary rate increases.

What is an indirect variation?

An indirect variation simply refers to a type of proportional relationship in which a variable is inversely proportional to another variable. This ultimately implies that, an indirect variation represents two variables that are inversely proportional to each other, which means as one variable increases, the other variable decreases and vice-versa.

What is direct variation?

Direct variation refers to a type of proportional relationship in which a variable is directly proportional to another variable. This ultimately implies that, a direct variation represents two variables that are directly proportional to each other, which means as one variable increases, the other variable also increases and vice-versa.

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the 9th term of arithmetic sequence. Use the formula for 'an' to find 'a20', the 20th term of the sequence 7,3,-1,-5

Answers

We will find the value of the 20th term of the sequence 7, 3, -1, and -5.

We have the following sequence:

[tex]7,3,-1,-5[/tex]Finding the common difference

If we have an arithmetic sequence here, we need to find the common difference for this sequence, and we can do that by finding the difference between the second term and the first term, the difference between the third term and the second term, and so on. If we obtain the same value for the common difference, we have an arithmetic sequence here.

Then we have:

[tex]\begin{gathered} d=3-7=-4 \\ \\ d=-1-3=-4 \\ \\ d=-5-(-1)=-5+1=-4 \end{gathered}[/tex]

Then the common difference in this arithmetic sequence is d = -4.

Finding the formula for the arithmetic sequence

We know that the explicit formula for an arithmetic sequence is:

[tex]a_n=a_1+(n-1)d[/tex]

For this case, we have that d = -4, and that the first term, a1 = 7. Then we have the formula for the arithmetic sequence:

[tex]a_n=7+(n-1)(-4)[/tex]

Notice that we can expand this expression as follows:

[tex]\begin{gathered} a_n=7+(-4)(n)+(-4)(-1) \\ \\ a_n=7-4n+4 \\ \\ a_n=11-4n \\ \end{gathered}[/tex]

Finding the 20th term

Then to find the 20th term of the sequence, we have:

[tex]\begin{gathered} a_{20}=7+(20-1)(-4) \\ \\ a_{20}=7+(19)(-4) \\ \\ a_{20}=7-76=-69 \\ \\ a_{20}=-69 \end{gathered}[/tex]

Therefore, in summary, we have that the value for the 20th term of the sequence 7, 3, -1, and -5 is -69.

,

Please help me on #1 Please show your work so I can follow and understand

Answers

Answer:

Between markers 3 and 4.

Explanation:

We know that each student runs 2 / 11 miles. Given this, how many miles do the first two students run?

The answer is

[tex]\frac{2}{11}\cdot2=\frac{4}{11}\text{miles}[/tex]

Now, we know that the course has markers every 0.1 miles. How many markers are ther in 4 /11 miles?

The answer is

[tex]\frac{2}{11}\text{miles}\times\frac{1\text{marker}}{0.1\; miles}[/tex][tex]=3.6\text{ markers}[/tex]

This is between markers 3 and 4. Meaning that the second student finishes between markers 3 and 4.

As I am completely brand new to this subject/branch of mathematics, please explain thoroughly, step by step on how to complete this This is a practice from my ACT prep guide take your time, as there is no rush *Ignore the last answer option

Answers

Remember that

The difference of squares is of the form

[tex](a+b)(a-b)=a^2-b^2[/tex]

In this problem we have

[tex](3x-4y^2)(3x+4y^2)[/tex]

so

a=3x

b=4y^2

therefore

Apply the difference of squares

[tex](3x-4y^2)(3x+4y^2)=(3x)^2-(4y^2)^2=9x^2-16y^4[/tex]

15=g/7 what does g equal to

Answers

Answer:

g = 105

Explanation:

We want to find the value of g if

[tex]15=\frac{g}{7}[/tex]

We multiply both sides of the equation by 7

[tex]\begin{gathered} 15\times7=\frac{g}{7}\times7 \\ \\ 105=g \end{gathered}[/tex]

Therefore, the value of g is 105

Answer:

[tex]15=g/7[/tex]

We can get the value of g by multiplying the denominator, which in this case is 7.

So,

[tex]g = 15 x 7\\ g=105[/tex]

Sam goes to a fast food restaurant and orders some tacos and burritos. He sees on the nutrition menu that tacos are 250 calories and burritos are 330 calories. If he ordered 4 items and consumed a total of 1080 calories, how many tacos, and how many burritos did Sam order and eat?

Answers

Let x represent the number of tacos that Sam ordered and ate.

Let y represent the number of burritos that Sam ordered and ate.

From the information given, If he ordered 4 items, it means that

x + y = 4

If tacos are 250 calories, it means that the number of calories in x tacos is 250 * x = 250x

If burritos are 330 calories, it means that the number of calories in y burritos is 330 * y = 330y

If he consumed a total of 1080 calories, it means that

250x + 330y = 1080

From the first equation, x = 4 - y

By substituting x = 4 - y into the second equation, we have

250(4 - y) + 330y = 1080

1000 - 250y + 330y = 1080

- 250y + 330y = 1080 - 1000

80y = 80

y = 80/80

y = 1

x = 4 - y = 4 - 1

x = 3

Thus, Sam ordered and ate 3 tacos and 1 burritos

is this equation no solution, one solution, or infinitely may solutions

Answers

Given:

[tex]\begin{gathered} x+4y=8\ldots\ldots\ldots\ldots(1) \\ y=-\frac{1}{4}x+2\ldots\ldots\ldots\ldots(2) \end{gathered}[/tex]

To solve for x and y:

Substitute the equation (2) in (1) we get,

[tex]\begin{gathered} x+4(-\frac{1}{4}x+2)=8 \\ x-x+8=8 \\ 8=8 \end{gathered}[/tex]

Therefore, the given system has infinitely many solutions.

the table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched. describe the scale you can use on X and Y axes of a coordinate grid that would show all of the distances and weights in the table

Answers

Here the values are proportional to each other.

Proportionality ratio is,

[tex]\frac{20}{28}=\frac{5}{7}[/tex]

Then scale on X-axis representing weight in Newton is 1 unit is equal to 7 Newton

And on the the Y axis representing distance in cm is 1 unit is equal to 5 cm.

What is a solution of a system of linear equations in three variables?

Answers

Hello!

When we have a system with the same number of variables and equations, we can obtain the value for all variables.

Knowing it, the right alternative will be:

Alternative B.

what is the measure in radians of central angle 0 in the circle below

Answers

For this exercise you need to use the following formula:

[tex]\theta=\frac{S}{r}[/tex]

Where θ is the Central angle in radians, "S" is the arc length and "r" is the radius of the circle.

In this case, you can identify that:

[tex]\begin{gathered} S=8\pi cm \\ r=8\operatorname{cm} \end{gathered}[/tex]

Knowing these values, you can substitute them into the formula and then evaluate, in order to find the measure of the Central angle in radians. This is:

[tex]\begin{gathered} \theta=\frac{8\pi cm}{8\operatorname{cm}} \\ \\ \theta\approx\pi radians \end{gathered}[/tex]

The answer is:

[tex]\pi radians[/tex]

Write an expression to show how much Gretchen paid for drama,action, and comedy videos if she paid $4 for each at a sale. Evaluate the expressionGretchen’s video purchasesMystery 6Action 3Comedy 5Drama 2Romance 2

Answers

Let d the number of drama videos, c the number of comedy videos and a the number of action videos.

If the cost per video (independently of the genre) is $4, then, for the total cost of the videos Gretchen payed, you can write:

total = 4d + 4c + 4a

Now, based on the given table, you have:

d = 2

c = 5

a = 3

By replacing the previous values into the expression for total, and by simplifying, you obtain:

total = 4(2) + 4(5) + 4(3)

total = 8 + 20 + 12

total = 40

Hence, Gretchen payed $40 for the videos

How to find the (r) or difference in this scenario:
Aliens Away is a new video game where a player must eliminate a certain number of aliens on the screen by scaring them with an adorable house cat. When James plays the game, he eliminates 64 aliens in the first level and 216 aliens in the fourth level. If the number of aliens are destroyed in a geometric sequence from one level to the next, how many total aliens will James have wiped out by the end of the sixth level?

It is given that it is a geometric sequence, if I am not mistaken it is the explicit formula.

IF YOU COULD PLASE EXPLAIN:)

Answers

Total number of aliens James have wiped out by the end of the sixth level is 1330

The number of aliens eliminated in first level a = 64

The number of aliens eliminated in the fourth level = 216

The sequence is in geometric sequence

The nth term of the geometric sequence is

[tex]a_n=ar^{n-1}[/tex]

The fourth term is 216

216  = [tex]64r^3[/tex]

[tex]r^{3}[/tex] = 216/64

r = 3/2

Then we have to find the total alien James killed by the end of sixth level

Sum of n terms = [tex]\frac{a(r^n-1)}{r-1}[/tex]

Substitute the values in the equation

= [tex]\frac{64(1.5^6-1)}{1.5-1}[/tex]

= 665/0.5

= 1330

Hence, total number of aliens James have wiped out by the end of the sixth level is 1330

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for #5 solve for x. then find the missing piece(s) of parallelogram.

Answers

Answer:

Given that,

From the parallelogram, the opposite sides of the parallelogram are -2+4x and 3x+3

Explanation:

From the properties of parallelogram, we have that

Opposite sides of a parallelogram are equal

We get,

[tex]-2+4x=3x+3[/tex]

Solving we get,

[tex]4x-3x=3+2[/tex][tex]x=5[/tex]

Answer is :x=5

Question 2(Multiple Choice Worth 2 points)
(01.06 MC)
Simplify 31.
1
0-1
-1

Answers

Answer:

[tex]-i[/tex]

Step-by-step explanation:

Imaginary numbers

Since there is no real number that squares to produce -1, the number [tex]\sqrt{-1}[/tex] is called an imaginary number, and is represented using the letter [tex]i[/tex].  

Given expression:

[tex]i^{31}[/tex]

Rewrite 31 as 30 + 1:

[tex]\implies i^{30+1}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]

[tex]\implies i^{30} \cdot i^1[/tex]

[tex]\implies i^{30}i[/tex]

Rewrite 30 as 2 · 15:

[tex]\implies i^{(2 \cdot 15)}i[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies \left(i^2\right)^{15}i[/tex]

[tex]\textsf{Apply\:imaginary\:number\:rule}\quad \:i^2=-1:[/tex]

[tex]\implies \left(-1\right)^{15}i[/tex]

As -1 to the power of an odd number is -1:

[tex]\implies -1 \cdot i[/tex]

[tex]\implies -i[/tex]

Need answer if you could show work would be nice

Answers

(x^3 - 3x^2 - 5x + 39) = (x^2 - 6x + 13)(x + 3). [you can verify this by expanding the brackets]
x + 3 = 0 when x = -3

x^2 - 6x + 13 = 0
x^2 - 6x + 9 + 4 = 0
(x - 3)^2 = -4
This shows x^2 - 6x + 13 = 0 has no real roots
The function only has one real root at x = -3

13. A 640 kg of a radioactive substance decays to 544 kg in 13 hours. A. Find the half-life of the substance. Be sure to show your work including the formulas you used. Round to the nearest tenth of an hour. Only solutions using formulas from the 4.6 lecture notes will receive credit.B. How much of the substance is present after 3 days? Be sure to show the model you used.C. How long does it take the substance to reach 185 kg? Be sure to show your work.

Answers

EXPLANATION

The equation for half-life is given by the following formula:

[tex]H=\frac{t\cdot\ln(2)}{\ln(\frac{A_0}{A_t})}[/tex]

Replacing terms:

[tex]H=\frac{t\cdot\ln(2)}{\ln(\frac{A_0}{A_t})}=\frac{13\cdot\ln(2)}{\ln(\frac{640}{544})}=\frac{9.0109}{0.1625}=55.45[/tex]

The half-life time is H =55.4 hours.

B) After three days, that is, 72 hours, the amount of substance will be given by the following relationship:

[tex]A=A_o\cdot e^{-(\frac{\ln2}{H})t}=640\cdot e^{-(\frac{\ln2}{55.4})\cdot72}=640\cdot e^{-0.90084}[/tex]

Multiplying terms:

[tex]A=640\cdot0.4062=259.96\text{ Kg}[/tex]

There will be 259.96 Kg after 3 days.

C) In order to compute the number of days that will take to the substance to reach a concentration equal to 185 Kg, we need to apply the following formula:

[tex]t=\frac{\ln (\frac{A}{A_o})}{-\frac{\ln (2)}{t\frac{1}{2}}}[/tex]

Replacing terms:

[tex]t=\frac{\ln (\frac{185}{544})}{-\frac{\ln (2)}{55.45}}=\frac{-1.0785}{-0.0125}=\frac{1.0785}{0.0125}=86.28\text{ hours}[/tex]

It will take 86.28 hours to the substance to reach 185 Kg.

Question Evaluate. 7⋅5+42−23÷4 Responses 49 49 41 41 34 34 9 9

Answers

Answer: 71.25

This is not of of the options, but is the right answer.

Step-by-step explanation:

7 x 5 + 42 - 23 / 4 =

Step 1: Make parentheses

(( 7 x 5 ) + 42) - ( 23 / 4) =

Step 2: Solve parentheses ( Multiplication and division first )

(35 + 42) - 5.75 =

Step 3: Solve parentheses ( Addition )

77 - 5.75 =

Step 4: Subtract

= 71.25

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A total of $6000 is invested: part at 5% and the remainder at 10%. How much is invested at each rate if the annual interest is $590

Answers

If a total of  $6000 is invested, part at 5% and remainder at 10%, then the amount invested on 10% interest is $5800 and the amount invested on 5% interest is $200

The total amount = $6000

Consider the amount invested on 10% interest as x

The amount invest on 5%  interest = (6000-x)

The the equation will be

x×(10/100) + (6000-x)(5/100) = 590

0.1x + 0.05(6000-x) = 590

0.1x + 300 - 0.05x = 590

0.05x +300 = 590

0.05x = 590-300

0.05x = 290

x = 290/0.05

x = $5800

The amount invested on 10% interest = $5800

The amount invested on 5% interest = 6000-5800

= $200

Hence, if a total of  $6000 is invested, part at 5% and remainder at 10%, then the amount invested on 10% interest is $5800 and the amount invested on 5% interest is $200

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Solve for the dimensions of the rectangle. Area= length•widthThe length of a rectangle is 2cm greater than the width. The area is 80cm2. Find the length and width.

Answers

The length of a rectangle is 2cm greater than the width. The area is 80cm2. Find the length and width.

L=W+2

W=W

[tex]\begin{gathered} A=L\cdot W \\ A=(W+2)\cdot W \\ A=W^2+2W \\ A=80\operatorname{cm} \\ Then, \\ 80=W^2+2W \\ W^2+2W-80=0 \end{gathered}[/tex]

[tex]\Delta=4+320=324[/tex][tex]\begin{gathered} W=\frac{-2\pm\sqrt[]{324}}{2}=\frac{-2\pm18}{2} \\ W_1=\frac{-20}{2}=-10 \\ W_2=\frac{16}{2}=8 \end{gathered}[/tex]

The width should be positive, therefore W=8

L=W+2

L=8+2=10

The length is L=10

A farm raises cows and chickens. The farm has total of 43 animals. One day he counts the legs of all his animals and realizes he has a total of 122. How many cows and chickens does he have?

Answers

Assume that there are x cows and y chickens in the form

Since there are 43 animals, then

Add x and y, then equate the sum by 43

[tex]x+y=43\rightarrow(1)[/tex]

Since a cow has 4 legs and a chicken has 2 legs

Since there are 122 legs, then

Multiply x by 4 and y by 3, then add the products and equate the sum by 122

[tex]4x+2y=122\rightarrow(2)[/tex]

Now, we have a system of equations to solve it

Multiply equation (1) by -2 to make the coefficients of y equal in values and opposite in signs

[tex]\begin{gathered} -2(x)+-2(y)=-2(43) \\ -2x-2y=-86\rightarrow(3) \end{gathered}[/tex]

Add equations (2) and (3) to eliminate y

[tex]\begin{gathered} (4x-2x)+(2y-2y)=(122-86) \\ 2x+0=36 \\ 2x=36 \end{gathered}[/tex]

Divide both sides by 2

[tex]\begin{gathered} \frac{2x}{2}=\frac{36}{2} \\ x=18 \end{gathered}[/tex]

Substitute x by 18 in equation (1)

[tex]18+y=43[/tex]

Subtract 18 from each side

[tex]\begin{gathered} 18-18+y=43-18 \\ y=25 \end{gathered}[/tex]

The answer is

There are 18 cows and 25 chickens on the farm

For every 5 tickets that Sean sold Demi sold 4 tickets. If Sean sold 220 tickets how many tickets did Demi sell

Answers

Answer:

Demi sold 176 tickets

Step-by-step explanation:

220 divided 5= 44
44 x 4= 176

… But you didn't have to cut me off

Make out like it never happened

And that we were nothing

And I don't even need your love

But you treat me like a stranger

And that feels so rough

You didn't have to stoop so low

Have your friends collect your records

And then change your number

I guess that I don't need that though

Now you're just somebody that I used to know

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