Find the equation of the regression line for the data in the table.
X
y
25 6
44 13
46 14
52 10
57 13
Round your answers to the nearest tenth.
x + =
y
Submit

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ1

30f is Factorised form of the expression 8f × 2 + 7f × 2.

Factoring is the opposite of expanding brackets, so an example would be to change 2x2 + x - 3 to (2x + 3). (x - 1). This approach to solving quadratic equations is crucial.

The first step in factorising an expression is to "take out" any shared factors that the terms have. In order to factorise x2 + x, you would therefore write x(x + 1) because x appears in both terms.

8f × 2 + 7f × 2

= 2(8f + 7f)

= 2(15f)

= 30f

30f is Factorised form of the expression 8f × 2 + 7f × 2.

To learn more about Factorise

https://brainly.com/question/20293447

#SPJ1

The length of the road after D days of construction (L) is equal to the original length of the road (10 miles) plus the number of miles added by the construction crew each day (1 mile/day) times the number of days the construction has been going on (D).

So the equation relating L to D is:

L = 10 + 1D

This equation can be graph on a Cartesian plane with D on the x-axis and L on the y-axis. The graph will be a straight line passing through the point (0,10) and having a slope of 1, meaning that for every one increase in D there is a one increase in L.

It will look like this:

graph{10+x [-12, 12, -6, 6]}

Where D=x and L=y.

Answer: L - 10 = D

Step-by-step explanation:

1 Day = 1 Mile
After 1 Day of construction a 1 Mile is added to the road
Original length is 10 miles
Length (e.g. 11 miles) - 10miles = Day 1
So:
L - 10 = D

Answer: im pretty sure its y=18x-5

Step-by-step explanation: yuh yuh

Answer:

(−∞,−82)

Step-by-step explanation:

Eighty-two less than r, r−82 is less than <−164.

Now we can solve the inequality by adding 82 to each side.

r−82r−82+82r<−164<−164+82<−82

In interval notation, we write this as (−∞,−82).

The value of r in the statement eighty-Two less than r is less than −164

is r < - 82.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The given statement is Eighty-Two less than r is less than −164 which can be numerically expressed as,

r - 82 < - 164.

r < - 82.

learn more about inequalities here :

https://brainly.com/question/20383699

#SPJ5

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

Read more about range at

brainly.com/question/27910766

#SPJ1

Answer:

\(8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^{14} - 2x^{12}}{x^{10}y^8}\)

Step-by-step explanation:

Given

\(8x^{-10}y^6 - 2x^2y^{-8}\)

Required

Simplify

Rewrite as:

\(8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^6}{x^{10}} - \frac{2x^2}{y^8}\)

Take LCM

\(8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^6*y^8 - 2x^2 * x^{10}}{x^{10}y^8}\)

Apply law of indices

\(8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^{14} - 2x^{12}}{x^{10}y^8}\)

Answer:

26

Step-by-step explanation:

90-64=26

Answer: that would be 26

Step-by-step explanation: A right triangle  angles measure 90 degrees. With this knowledge you had to just subtract 90 and 64.

Answer:

-50

Step-by-step explanation:

Answer:

-------------------------

Apply the Triangle Inequality Theorem.

It states that:

We'll take the sum of two shortest sides and compare with the longest:

It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.

The matching answer choice is e).

Answer:

---------------------------------

Answer:

$582.68

Step-by-step explanation:

Total amount will be,

→ $266.63 + $317.29 + $62.78

→ 266.63 + 380.07

→ $646.7

Then the final price will be,

→ ($646.7 - 15%) + 6%

→ (646.7 - (646.7/100) × 15) + 6%

→ (646.7 - 97.005) + 6%

→ 549.695 + (549.695/100) × 6

→ 549.695 + 32.9817

→ 582.6767

→ $582.68

Hence, the answer is $582.68.

Answer:

B (middle one)

Step-by-step explanation:

Answer:

The answer is zero

Step-by-step explanation:

Hope it helps

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

For more such questions on functions

https://brainly.com/question/10439235

#SPJ8

Answer:

3

Step-by-step explanation:

2*1+1

2+1

3

how this helps :)

Answer:hope i helped! sry for the wait .-.

Step-by-step explanation:

Answer:

The answer to your question is:  Area and Circumference Like all geometric shapes, circles take up space and a formula is required to calculate the area.

Step-by-step explanation:

I hope this helps and have a wonderful day!

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

To know more about line, visit:

https://brainly.com/question/30003330

#SPJ1

The domain and range of the function y = 1/2 - 1 lies on  (-∞, ∞)

The collection of all input values (sometimes referred to as independent variables) for which a function is defined and yields a valid output is known as the domain of the function. It is the collection of all possible values that can be entered into a function.

All real numbers, for instance, fall inside the domain of the function        f(x) = x², since any real number may be squared to yield an accurate result.

On the other hand, a function's range is the collection of all feasible output values (also known as the function's dependent variable) that it can generate. It is the collection of all outcomes that the function is capable of producing.

For instance, since squaring real numbers makes the range of the function f(x) = x² all non-negative values.

It's vital to remember that not all functions have the same range or are defined for all conceivable input values. For instance, because the square root function x is not defined for negative numbers, all real numbers that are not negative fall within its domain.

In conclusion, the collection of all input values for which a function is defined and yields a valid output is known as the domain of the function. The collection of all potential output values that a function may produce is known as its range.

In the given function;

y = 1/2x - 1

The domain of this function is (-∞, ∞)

The range of the function f(x) = 1/2x - 1 is (-∞, ∞)

Learn more on domain and range of a function here;

https://brainly.com/question/28801359

#SPJ1

Answer:

Elizabeth

Step-by-step explanation:

Her answer shows the ratio of 6:24- lemonade to punch.

Answer:

cierto

Step-by-step explanation:

porque son diferentes cosas?

The following are the functions which are even, odd or neither

a) neither even nor odd

b) neither even nor odd

c) even

d) neither even nor odd

To check whether a function in odd or even or neither, we use the following methods :

for Odd -

f(-x) = - f(x)

for Even -

f(-x) = f(x)

If neither of the conditions follow then the function is neither odd nor even

We'll check for the first given polynomial,

f(x) = \(6x^{4} - 4x^{2} + 8x -2\)

for Even =

f(-x) = \(6(-x)^{4} - 4(-x)^{2} + 8(-x) - 2\)

= \(6x^{4} - 4x^{2} - 8x -2\)

\(\neq\)f(x)

Hence, The polynomial is not even

Similarly, We'll check that the function is odd

for Odd =

f(-x) =    \(6(-x)^{4} - 4(-x)^{2} + 8(-x) - 2\)

= \(6x^{4} - 4x^{2} - 8x -2\)

\(\neq\) - f(x)

Hence, the given function is not odd function

So, we've come to a conclusion that neither the given function is odd not it is even

Similarly, we'll check for the other parts of the question

b) neither even nor odd

c) even

d) neither even nor odd

To learn more about, polynomial, here

https://brainly.com/question/20121808

#SPJ1

The extent of a square prism is given by V = l × w × h, so that you can quantity without the hollow would be 18×22×77=30,492cm³

Determine the most intensity to which the container can be packed with water so that when the water freezes, the ice does not move above the top of the container.?

The surface region is:

A = 2 × (l × w + w × h + h × l)

= 2×(18×22+22×77+77×18)

=4862cm³

Now cut a cylindrical hollow through the middle … however in what route??? because the orientation of the hole isn't given, the valuable axis of the cylindrical hole might be parallel to any individual of the three most important axes of the square prism!

[Note: a ‘round’ hole in any other direction – not parallel to a major axis – would have either elliptical ends, or (worse) cut through vertices or even corners.]

Therefore, The extent of a square prism is given by V = l × w × h, so that you can quantity without the hollow would be 18×22×77=30,492cm³

To learn more about rectangular prism refers to:

brainly.com/question/24284033

#SPJ1

Answer:

41

Step-by-step explanation:

The range of the function is {1,-1,10} for function f(x)=2x³−3x .

A relation is a function if it has only One y-value for each x-value.

In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.

The given function is f(x)=2x³−3x

The domain is {-1,1,2}

Now f(-1)=2(-1)³-3(-1)

=-2+3=1

f(1)=2(1)³-3(1)=2-3=-1

f(2)=2(2)³-3(2)=16-6=10

Hence, the range of the function is {1,-1,10} for  f(x)=2x³−3x .

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ1