the length of a rectangular pen is 5 more than its width. The perimeter is 26 meters. Find the length and width.

the square and the square root should cancel so your left with only 50xy

When you reflect a function in the x-axis, the first coordinate of a point stays the same, and the second coordinate changes sign (what was positive is now negative and vice versa).  See the attached picture.

Question 11:  f(x) = -5x + 2.  The function changes to its opposite, so g(x) = -(-5x + 2) = 5x - 2.

When you reflect a function in the y-axis, the first coordinate of a point changes to its opposite, but the second coordinate stays the same.  Replace  x  with  -x .

Question 14:  f(x) = |2x - 1| + 3.  Replacing x with -x produces  g(x) = |2(-x) - 1| + 3  which simplifies to  g(x) = |-2x -1| + 3.

Question 15 works the same way as #14.

The answer Would Be 4.5 ,Hope this helps :D

I believe its  4 1/2

Hello! Based off your question we can see that we are looking to find an inequality.

If your brother has saved a total of $2,000 for a vacation, and his airplane ticket costs him $637, he will only have $1,363 left to spend elsewhere on his vacation.

To write this in an inequality format, x will represent the total value that he can spend on vacation, seen here. [tex]x\leq $2,000 - $637[/tex]

To find what percent 37 is of 144, divide 37 by 144, get the decimal form, multiply by 100, and round to the nearest whole number. The result is approximately 26%.

To calculate 37 as a percentage of 144, we use the following steps:

After performing the division, we find that 37/144 \0.2569 (rounded to four decimal places). Multiplying this by 100, we obtain 25.69%, which we then round to the nearest whole number, giving us 26%.

The answer to the question "37 is what percent of 144 to the nearest percent?" is therefore 26%.

The associative property of multiplication means that the way numbers are grouped within parentheses in an operation does not change the result. Looking at the options provided, option D represents this property. The other options represent other mathematical properties.

The associative property in mathematics is a property of some binary operations, which means the way numbers are grouped within parentheses in an operation does not change the result. In multiplication, for example, this means that (ab)c = a(bc).

Looking at the options provided one at a time, we see that option D represents this property. The equation −5/12 ⋅ (6/5 ⋅ 1/3) ⋅ 9/2 = (−5/12 ⋅ 6/5) ⋅ (1/3 ⋅ 9/2) allows us to rearrange the numbers within parentheses without changing the product, just as the associative property dictates.

The other options represent other mathematical properties like the distributive property or the associative property of subtraction, not the associative property of multiplication.

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f(x) = 3x³ + 3x² - 6x

given the factors of the polynomial , then

f(x) =ax(x - 1)(x + 2) ( a is a multiplier )

to find a use f(2) = 24

f(2) = 2a(1)(4) = 24 ⇒8a = 24 ⇒ a = 3, thus

f(x) = 3x(x² + x - 2) = 3x³ + 3x² - 6x

The polynomial function is [tex]f(x) = 3x^3 + 3x^2 - 6x[/tex].

Given that,

Now based on the above information, the calculation is as follows:

f(x) =ax(x - 1)(x + 2)

Here a is a  multiplier.

Now

f(2) = 24

f(2) = 2a(1)(4) = 24

8a = 24

a = 3

It can be write as

[tex]f(x) = 3x(x^2 + x - 2)[/tex]

[tex]f(x) = 3x^3 + 3x^2 - 6x[/tex].

Therefore we can conclude that the polynomial function is [tex]f(x) = 3x^3 + 3x^2 - 6x[/tex].

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Graph Z

Slope: 8

Y-Intercept: -4

Answer:

Graph X

Step-by-step explanation:

[tex]8x-y=-4[/tex]

To graph the equation we write it in the form of y=mx+b

Subtract 8x from both sides

[tex]-y=-8x-4[/tex]

Divide both sides by -1

[tex]y=8x+4[/tex]

In y=mx+b, m is the slope and b is the y intercept

[tex]y=8x+4[/tex] , slope =8 and b=4

Now make  a table , plug in some random number for x and find out y

x           y=8x+4

-1             -4

0              4

Two point on graph are (-1,-4) and (0,4)

Graph x is the correct graph

0.00007463

We have to move the decimal point 5 places to the right to get a number between 1 and 10:

[tex]0.00007463 = 7.463 \times 10^{-5}[/tex]

Both of these are correct:

[tex] 7.463*10^{-5}[/tex]

[tex]74.63 * 10^{-6}[/tex]

Moving the decimal places to right, an amount of times, will help determine a number's scientific notation form.

Answer:

If you know that the function is not odd, you know that the graph does not have rotational symmetry

Step-by-step explanation:

There is a theorem that says: "A function is odd if, and only if, its graph is symmetric with respect to the origin, or it has rotational symmetry in 180 ° with respect to the origin"

This statement is equivalent to:

If a function is odd, its graph has rotational symmetry with respect to the origin

If a graph has rotational symmetry with respect to the origin then the function is odd.

Therefore, it is impossible for the graph to have rotational symmetry with respect to the origin and the function is not odd.

Then, if you know that the function is not odd, you know that the graph does not have rotational symmetry

Here you go! Hope this helps! :)

To solve the complex number equation and find the missing term, we first multiply (1 + 2i)(2 + i), simplify, and then compare it to the expanded form of 5(2 + i). The missing term is found to be 10.

The student is working on a complex number multiplication and addition problem.

The initial equation is (1 + 2i)(2 + i) + (missing term) = 5(2 + i).

To find the missing term, we must first perform the multiplication of the complex numbers on the left side of the equation.

Multiplying (1 + 2i) by (2 + i) gives:

Add these results to get 2 + i + 4i - 2 = 5i, which simplifies to (0 + 5i). Now, we add the missing term to this, so we have:

(0 + 5i) + (missing term) = 5(2 + i)

Expanding the right side yields:

This gives us (10 + 5i). Subtract (0 + 5i) from both sides to isolate the missing term:

(10 + 5i) - (0 + 5i) = missing term

Therefore, the missing term is 10, and the completed equation is (1 + 2i)(2 + i) + 10 = 5(2 + i).

Final answer:

The question involves finding the missing term in a complex number equation. After expanding and simplifying the complex multiplication, it's determined that the missing term is 10 to balance the equation.

Explanation:

The question is about expanding and simplifying a complex number equation and finding the missing term that makes the equation true. To find the missing term, we first need to expand the left side of the equation.

Step-by-Step Solution:

Therefore, the missing term in the equation is 10.

Set up a proportion:

6 feet over 11 feet long equals x feet over 33 feet long

6/11 = x/33

198 = 11x

x = 18

The height of the tree is 18 feet tall

The height of the tree will be 18 feet.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

A man who is 6 feet tall casts a shadow that is 11 feet long.

At the same time, a tree casts a shadow that is 33 feet long.

Then the height of the tree will be

Let x be the height of the tree.

Then we have

x / 6 = 33 / 11

    x = 3 x 6

    x = 18 feet

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Yea it correct just plug in 12 where it need to go at in the equation

Answer:

Sully is correct there is no error.

Step-by-step explanation:

Given : The cost of a hamburger is $2.50. Each additional hamburger costs $2.00. Sully wrote this explicit rule to explain the sequence of costs [tex]f(n)=2+2.5(n- 1)[/tex].

To find : Using this rule, he found the cost of 12 hamburgers to be $29.50 Is this number correct? If not, identify Sully's error

Solution :

The cost of a hamburger is $2.50.

Each additional hamburger cost $2.00.

Sully wrote this explicit rule to explain the sequence of costs:

[tex]f(n)=2+2.5(n- 1)[/tex]

To find the cost of 12 hamburgers substitute n=12,

[tex]f(12)=2+2.5(12- 1)[/tex]

[tex]f(12)=2+2.5(11)[/tex]

[tex]f(12)=2+27.5[/tex]

[tex]f(12)=29.5[/tex]

The cost of 12 hamburgers to be $29.50.

Therefore, Sully is correct there is no error.

Answer:

a) We can just add Distance from Tulsa to Dallas and distance from Dallas to Houston,

258 + 239 = 497

b) It's the same distance = 497

c) We can tell its the same distance, because we are travelling in the same road, which would mean it would be no different when going to or coming back from Houston.

The vertical angles are congruent (or equal) so,

32 = 2x

2x = 32

2x/2 = 32/2 ..... dividing both sides by 2

x = 16 which is the answer

X=16 because 16 x 2=32 and both sides look pretty equal so.

Answer:

The possible number of miles you run is no more than 24.6 miles.

Step-by-step explanation:

Consider the provided information.

It is given that you run no faster than 8.2 miles per hour.

That means the maximum speed is less than or equal to 8.2 miles per hour.

This can be written as:

S≤8.2

We need to determine the inequality for possible numbers of miles you run.

[tex]Distance=Speed \times time[/tex]

We know time is 3 hr and S≤8.2.

Thus, the required inequity is:

[tex]D \leq 8.2\times 3[/tex]

[tex]D \leq 24.6[/tex]

Hence, the possible number of miles you run is no more than 24.6 miles.

In case you run for 3 hours at a speed no faster than 8.2 miles per hour. an inequality that represents the possible numbers of miles you run is d ≤ 24.6

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

The equation can be written as (Distance ≤ Speed * Time)

d ≤ (8.2 * 3 )

d ≤ 24.6 miles

d ≤ 24.6

This mean

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A= B+C

As given, A+B+C = 50000 seats

A+(B+C) = 50000

2A = 50000

A= 25000 seats

Now section A sells seats at $30 each

So, [tex]25000\times30=750000[/tex]

Now, B+C = 25000

B = 25000-C

B sells at $24 and C sells at $18

So, 24B+18C = 538800

Now as section A incurs an amount of $750000 from booking, so B and C will incur 1288800-750000 = 538800 where $1288800 is the total booking amount.

24B+18C = 538800

[tex]24(25000-C)+18C=538800[/tex]

[tex]600000-24C+18C=538800[/tex]

6C = 61200

C = 10200

Now, B = 25000-C

B = 25000 - 10200 = 14800

Hence, section A has 25000 seats

Section B has 14800 seats

Section C has 10200 seats

part b, if 100 is spent on the racket than 200 on lessons, 5 hours is what she can afford

A: X=100+40(h)

B: 7 hours

The answer to your question is true

Answer with explanation:

→General equation of circle is :

 [tex](x-a)^2+(y-b)^2=r^2[/tex]

having center, (a,b) and radius =r units.

→If the center , of the circle is at Origin (0,0) and have radius equal to r units the equation of circle will be:

x² + y²=r²

Radius= Distance from the center to any point on the circle,which is same for that circle.

⇒So, Yes , With Conformity,All the radii of a circle have the same length is a true Statement.

True

if each block is 2/3 miles long, and he walks 4 1/2 blocks, we can simply multiply to two. It looks like this:

(2/3)(4 1/2)

to multiply, make 4 1/2 into an improper fraction and multiply normally

(2/3)(9/4)

Ton walks 3 miles total.

Final answer:

Ton walks a total distance of 3 miles if each block is 2/3 mile long and he walks 4 1/2 blocks by multiplying the length of one block by the number of blocks walked.

Explanation:

The question asks about the total distance Ton walks if each block in his neighborhood is 2/3 mile long and he walks 4 1/2 blocks. To find the total distance, we can multiply the length of one block by the number of blocks walked:

Convert 4 1/2 blocks to an improper fraction: 4 1/2 = 9/2 blocks.

Multiply the length of one block by the number of blocks: (2/3 mile/block) × (9/2 blocks) = (2×9) / (3×2) = 18 / 6 = 3 miles.

Therefore, Ton walks a total distance of 3 miles.

The answer to your question is 5.03.

I hope that this helped! :)

Solution

The general form of the n-th term = a + (n-1)d

Here we are given the 1st term (a) = 10

6th term = 40

We need to find the 20th term.

Let's find the common difference.

6th term = 10 + (6 - 1) d

6th term is 40, so

40 = 10 + (6 -1)d

40 -10 = 5d

30 = 5d

d = 30/5

d = 6

The common difference is d = 6.

20th term = a + (n -1)d

= 10 + (20 -1)6

= 10 + 19*6

= 10 + 114

20th term = 124

This is the Pythagorean theorem, that equation is a^2 + b^2 = c^2, but if you dont have b you can manipulate the equation, that equation is c^2-a^2=b^2. So you take 15^2 - 12^2 and that equals 81, then you take the square root of 81, which equals 9, so your answer would be 9 feet. Hope that helped :)

The unknown side of the right-angled triangle measures 9 feet. We found this using the Pythagorean theorem.

This problem falls under the topic of Pythagoras theorem in Mathematics. The Pythagorean theorem describes the relationship between the lengths of the sides of a right-angled triangle. It is stated as: a² + b² = c², where c represents the length of the hypotenuse, and a and b are the lengths of the other two sides of the triangle.

If one side (say, a) of the right triangle is 12 feet and the hypotenuse (c) measures 15 feet, we can calculate the length of the other side (b) using the principle of the Pythagorean Theorem. By rearranging the theorem to solve for 'b', we get the equation:

b = √(c² - a²)

Substitute the given values into the equation:

b = √((15)² - (12)²) = √(225 - 144) = √81

Hence, the unknown side 'b' measures 9 feet.

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x-intercept = - 2 , y-intercept = 6

to find the intercepts, that is where the graph crosses the x and y axes

• let x = 0, in the equation for y-intercept

• let y = 0, in the equation for x-intercept

x = 0 : y = 0 + 6 = 6 ⇒ (0, 6 ) is the y-intercept

y = 0 : 3x + 6 = 0 ⇒ x = - 2 ⇒ (- 2, 0 ) is the x-intercept