The perimeter of a rectangle is 150 meters. If the length of the rectangle is 15 meters more than the width, what are the dimensions of the rectangle

Answer:

See attached graph for lines

Left side line is y = -3x-2

Right side line is y = 2x + 8

Point of intersection is at (-2,4)

Step-by-step explanation:

The line graphs are attached

The solution for (x, y) is the point of intersection  of the two lines

This is at point (2,4)

We can also solve this algebraically by solving first for x and then y

–3x – 2 = 2x + 8

The two line equations are

y = -3x - 2 and y = 2x+8

3x – 2 = 2x + 8

==> 3x -2x - 2 = 2x-2x + 8   (subtract 2x on both sides)

==>  -5x -2 = 8

==> -5x -2 + 2 = 8 + 2    (add 2 on both sides to isolate the x term)

==> -5x = 10==> -5x/5 = 10/5 (divide by 5 both sides)

==> x = -2

Plug this value of x into the RHS giving

y = 2(-2) + 8 ==> y = -4 + 8 ==> y = 4

So (-2,4) is the point of intersection of the two lines and is consistent with the point of intersection on the graph

Answer:

Irrational

Step-by-step explanation:

It can not be square rooted, the closest squared number to 35 is 36. The square root of 36 is 6 as 6x6= 3.

Therefore it is irrational.

Answer:

see below

Step-by-step explanation:

sqrt35 is irrational since by the definition of rational: able to be expressed as a whole number or a fraction.

sqrt35 is approximatly 5.91607978. which is not able to be a whole number or a fraction

thus sqrt35 is irrational

The correct option is A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}.

The function which also has an inverse that is also a function is {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}.

An inverse in mathematics is a function which serves to "undo" another function. That is, if f(x) yields y, then placing y into the inverse of f yields x.

In response to the given question

We understand that such a function is really only one that has a unique y value that corresponds to x.

An inverse function is only a function is if function being inversed is also a function.

Thus, option (A) has all x corresponding to y values that are different, but all remaining options have the values repeating, so that will not be a function because only (A) has to inverse.

To know more about the inverse function, here

https://brainly.com/question/3831584

#SPJ4

The complete question is -

Which function has an inverse that is also a function?

A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

B. {(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}

C. {(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}

D. {(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}

The  the required value of function of the expression when x equal to 5 i.e f(5) is 167.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The given expression is

f(x) =[tex]7x^{2} -8[/tex]

We have to find the value of f(5).

According to given question we have

f(x) =[tex]7x^{2} -8[/tex]

Put the value of x= 5  in the given function  we get,

f(x) =[tex]7x^{2} -8[/tex]

f(5) =[tex]7(5)^{2} -8[/tex]

After simplifying we get

f(5)=167

Therefore, the required value of function of the expression when x equal to 5 i.e f(5) is 167.

Learn more details about function here:

https://brainly.com/question/12431044

#SPJ1

He can make 2 meat balls from the remaining turkey.

Total pounds of ground turkey available = 3 pounds.

Turkey used to make 6 meat ball = 3 / 8 of 3 pounds = 9 / 8 pounds

Turkey used to make 1 meat ball = 9 / 8 ÷ 6 = 3 / 16

1 / 8 meat = 1/ 8 of 3 = 3 / 8 pound of meat.

Number of meatballs made = 3 / 8 × 16 / 3 = 2

Therefore, he can make 2 meat balls from the remaining turkey.

Learn more about fraction here:

https://brainly.com/question/11562149

#SPJ9

Answer:

c) 282.5 ft²

Step-by-step explanation:

Formula we use,

A = L × W

The area of one floor will be,

→ 12 1/2 × 10

→ 25/2 × 10

→ 250/2

→ 125 ft²

The area of another floor will be,

→ 15 3/4 × 10

→ 63/4 × 10

→ 630/4

→ 157.5 ft²

Total area of the new carpet is,

→ 125 + 157.5

→ 282.5 ft²

Hence, the total area is 282.5 ft².

If One floor is 12 1/2 feet long, and the other floor is 15 3/4 feet long. Each floor has a width of 10 feet. Then total area of new carpet is 282.5 ft²

The area of Rectangle is length times of width.

Given that new carpet put on the rectangular floors of two rooms in his house.

One floor is 12 1/2 feet long

Second floor is 15 3/4 feet long.

Width is given by 10 feet.

We know that area of rectangle is

Area = Length × Width

The area of one floor will be,

12 1/2 × 10

25/2 × 10

250/2

125 ft²

The area of another floor will be,

15 3/4 × 10

63/4 × 10

630/4

157.5 ft²

Total area of the new carpet is,

125 + 157.5

282.5 ft²

Hence, the total area of new carpet is 282.5 ft².

To learn more on Area of rectangle click:

https://brainly.com/question/20693059

#SPJ2

Answer:

x^2 +3x -10

Step-by-step explanation:

(x+5)(x-2)

x^2 +5x -2x -10

x^2 +3x -10

The polynomial equation is (x³ - 7x² + 20x - 24) = 0 and the Error that made by Andrew is incorrect factors of the roots.

Polynomial Equation:

The equations formed with variables, exponents and coefficients are called as polynomial equations.

Roots of the Polynomial:

Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero.

Given,

Roots of the polynomial are: 3, 2 + 2i, 2 - 2i.

Here we need to find the error he made and the correct form of the equation.

According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is  a factor of P(x).

According to this definition:

=> (x - 3) , (x - (2 + 2i)) , (x - (2 - 2i))

are factors of the required polynomial.

Simplifying the brackets, we get:

=> (x - 3), (x - 2 - 2i), (x - 2 + 2i)

are factors of the required polynomial.

This is the step where Andrew made the error.

The factors will always be of the form (x - a) , not (x + a).

Andrew wrote the complex factors in form of (x + a)  which resulted in the wrong answer.

So, the polynomial would be:

=> (x - 3)(x - 2 - 2i)(x - 2 + 2i) = 0

=> (x - 3) (x² - 2x + 2xi - 2x + 4 - 4i - 2xi - 4i - 4i²) = 0

When we simplify it, then we get,

=> (x - 3)(x² - 4x + 4 + 4) = 0

=> (x - 3)(x² - 4x + 8) = 0

=> (x³ - 4x² + 8x - 3x² + 12x - 24) =0

=> (x³ - 7x² + 20x - 24) = 0.

To know more about Polynomial Equation here.

https://brainly.com/question/25958000

#SPJ4

r = number of reptiles on the endangered species list

2r = twice that number

2r < 127 since the 127 is more than twice the number of reptiles

Solve for r by dividing both sides by 2

2r < 127

r < 127/2

r < 63.5

If r is a positive whole number, then r could be anything from this set: {1, 2, 3, ..., 62, 63}

Unfortunately there isn't enough information to fully pin down what r is.

I would ask your teacher for further clarification.

Answer:

32 is it

Step-by-step explanation:

Answer:

It affects it by profit for 100 downloads is for $90 greater.

Step-by-step explanation:

Profit - 90% * revenue - 50

p(x) - 0.9 * f(x) - 50

=0.9 * 3x - 50

=2.7x - 50

Now find the profit for 100 downloads: p(100) = 2.7 * 100 - 50 =220

220 - 130 = 90

Step-by-step explanation:

15,910 like what said of calculator

The probability that all three of the selected vials have hairline cracks = 0.096

Total number of vials in the shipment = 62

Number of vials with hairline cracks = 14

Number of vials without hairline cracks = 48

Three from 62 vials are selected.

So total outcomes = 62C3

Number of possible outcomes for all 3 of selected vials have hairline cracks = 14C3, which is the number of favorable outcomes

Probability that all three of the selected vials have hairline cracks = Number of favorable outcomes/Total outcomes = 14C3/62C3 = 0.096

Learn more about probability at https://brainly.com/question/251701

#SPJ4

Answer:

Step-by-step explanation:

[tex]1. \: \: - 2 \times - 3 = \\ = 6[/tex]

[tex]2. \: \: ( - 3 \times 4) \div ( - 8) = \\ = ( - 12) \div ( - 8)\\ = ( - 6 )\div ( - 4) \\ = ( - 3 )\div ( - 2 )\\ = 1.5[/tex]

[tex]3. \: \: ( - 2) \times ( - 3) \times ( - 4) = \\ = 6 \times ( - 4) \\ = - 24[/tex]

From the analysis of the above math, the amount she invested in the CD account is 5,000. See the analysis below.

Let A be the amount invested in the CD.

Let B be the amount invested in the savings bond.

A + B = 15, 000

.04A + .07B = 900

Multiply the first equation by -.04 and add it to the second equation to get rid of the A term.

-.04A-.04B = -600  add this equation to the second equation.

.03B = 300  multiplying by 100.  3B = 30,000

dividing by 3 on both sides: B = 10,000.  So A = 5,000

So she invested 5,000 in the CD account

Learn more about math analysis:
https://brainly.com/question/24439065
#SPJ1

The money shared by Natasha and Trisha is $160.

Let the amount paid by the Natasha is 'x'

And the amount Paid by Trisha is 'y';

Their amounts are in the ratio of 5:3

Thus, x/y = 5/3

Trisha shares a amount of $120.

y = $12.

Then, put y = 120 in the ratio.

x/y = 5/3

x = 5y/3

x = (5×12)/3

x = 5×4

x = 40 (amount shared by Natasha)

Total amount  = Natash's share + Trisha's share

Total amount  = 40 + 120

Total amount  = 160

Thus, the total amount of money shared is $160.

To know more about the ratio, here

https://brainly.com/question/1375044

#SPJ9

Answer:

4

16 / 4 = 4

44 / 4 = 11

28 / 4 = 3

easy

Annually The amount after 10 years = $ 7247.295

quarterly compound after 10 years = $7393.5

Continuously interest =$7,419

Given:

P = the principal amount

r = rate of interest

t = time in years

n = number of times the amount is compounding.

Principal =  $4500

time= 10 year

Rate = 5%

To find: The amount after 10 years.

The principal amount is, P = $4500

The rate of interest is, r = 5% =5/100 = 0.05.

The time in years is, t = 10.

Using the quarterly compound interest formula:

A = P (1 + r / 4)4 t

A= 4500(1+.05/4)40

A= 4500(4.05/4)40

A= 4500(1.643)

Answer: The amount after 10 years = $7393.5

Using the Annually  compound interest formula:

A = P (1 + r / 100) t

A= 4500(1+5/100)10

A= 4500(105/100)10

Answer: The amount after 10 years = $ 7247.295

Using the Continuously  compound interest formula:

e stands for Napier’s number, which is approximately 2.7183

[tex]A=Pex^{rt} \\A=4500(e)^{.5} \\A= 4500(2.71)^{.5}[/tex]

A= $2,919

Answer: The amount after 10 years = $4500+$2,919=$7,419

More details :brainly.com/question/13307568

#SPJ9

Answer:

It's the graph with two dots and no area marked, first image (for me).

Step-by-step explanation:

|x| = 1 means "the distance from x to the 0 point on the axis is exactly 1". There's only 2 numbers x that satisfy that condition: -1 and 1

The second and third image both show an area marked, so it cannot be the right answer, while the first image shows precisely two numbers: -1 and 1

Answer:

5 and 6, 3 and 10

Step-by-step explanation:

that's all I can think of

Answer:Yes 90.2 x 10-8 is greater then 90.2 x 10-6

Step-by-step explanation:

Perimeter of rectangle is  9.5 inches

If the length of the rectangle is l and its width is w,

l = 4w + 1, and

lw = (4w+1)×w = 3.

This yields 4w² + 1w -3= 0, which can be solved in the normal way for quadratic equations.

Solving the equation we get as

w=0.75 or w=-1

as it an not be negative value hence w=0.75

l=4

Perimeter of rectangle is 2*(l+w)= 9.5 inches.

Learn more about rectangle here:

https://brainly.com/question/16021628

#SPJ9

The mass m in terms of K and v is expressed as m= 2K/v^2

The subject of formula is a way of representing a variable in terms of other variables.

Given the equation below;

K = 1/2mv^2

Make m the subject of the formula

2K = mv^2

2K/v^2 = mv^2/v^2

2K/v^2 = m

Swap

m= 2K/v^2

Hence the mass m in terms of K and v is expressed as m= 2K/v^2

Learn more on subject of formula here: https://brainly.com/question/21140562

#SPJ1

Answer:

65

Step-by-step explanation:

The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of "Law of Multiple Proportions."

When two elements combine to form and over one compound, the weights with one element which combine with such a fixed weight of the second are in a ratio of small whole numbers, according to the law of multiple proportions.

Some key features regarding the Law of Multiple Proportions are-

To know more about Law of Multiple Proportions, here

https://brainly.com/question/24435494

#SPJ4

The complete question is-

Carbon monoxide can be broken down into carbon and oxygen in a mass ratio of 3:4 or 0.75. Carbon dioxide can be broken down into carbon and oxygen in a mass ratio of 3:8 or 0.375. The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of

Answer:

the most logical answer is

n^2-1

20th term is then 399

Step-by-step explanation:

The rule behind the sequence could be anything, but it is very likely that we're supposed to notice that the terms are all squares minus 1

0 = 1*1 - 1

3 = 2*2 - 1

8 = 3*3 - 1

15 = 4*4 - 1

24 = 5*5 - 1

So we expect that the explicit formula is n^2-1 and the 20th term is 399