Solve for y 4(7y+x)=4

Answer:

12 ft, 13 ft , 17 ft

Step-by-step explanation:

let x be the length of the second side , then

one side is x + 1

third side is x + 5

the perimeter P is the sum of the 3 sides, then

P = x + x + 1 + x + 5 ← collect like terms

P = 3x + 6

given P = 42 , then equating gives

3x + 6 = 42 ( subtract 6 from both sides )

3x = 36 ( divide both sides by 3 )

x = 12

x + 1 = 12 + 1 = 13

x + 5 = 12 + 5 = 17

the 3 sides are 12 ft, 13 ft , 17 ft

The required expression is 3h(150) + h(270) which is the correct answer would be an option (D).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Since each house will have 3 smaller bedrooms that required 150 square feet of carpet

⇒ 3 × 150

Each house will have 1 larger bedroom that requires 270 square feet of carpet.

⇒ 270

So, (3 × 150 + 270) × h

⇒ 3h(150) + h(270)

Thus, The required expression is 3h(150) + h(270).

Hence, the correct answer would be an option (D).

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The question seems to be incomplete the completed part has been attached below

The balance in Lee's account at the end of 6 years is $384,830.53.

The first step is to determine the future value of the initial amount deposited in the savings account.

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

Balance at the end of 3 years: $17,000 x (1.045)^(3 x2) = $22,138.42

The total value of the account after $42,000 is deposited is:

$42,000 + $22,138.42 = $64,138.42

The future value of $64,138.42 at the end of 6 years is:

Balance at the end of 6 years: $64,138.42 x (1.045)^(3 x2) = $384,830.53

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The amount of profit made by JMP is 102000.

Given,

In the question;

JMP made a profit of $85,000 last year.

If the profit margin increased by 20% this year.

To find the amount of profit made by JMP.

Now, According to the question:

Based on the given condition:

Formulate:

= 85000 x (20% + 1)

Calculate;

85000 x (0.2 + 1)

Calculate the sum or difference

85000 x 1.2

= 102000

Hence, The amount of profit made by JMP is 102000.

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Answer:

C. -16

Step-by-step explanation:

Hope this helps you! :))

16

Step-by-step explanation:

the answer is c

just took a test and I got it right

Yes, the graph goes through those two points.

What is Graph?

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.  

The points on the graph often represent the relationship between two or more things.

What is linear equation?

A linear equation is an algebraic equation of the form y=mx + b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Explanation for the answer:

The equation can be graphed by plotting the two given points and drawing a line through them. Such a graph is shown in the attachment.

You can graph a line for any linear equation from any two points that fit the equation. So you can use the points (0, -75) and (15, 0) to graph the line representing the situation.

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The given points gives us a line with constant slope of -2.

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

The points are in the form of ( x, y) , where y= g(x)

Plot these points on the graph and join the points through a line.

Refer to the attachment for the graph.

The slope is constant.

consider any 2 points:

(x,y) = (0,7)

(m,n) =(2,3)

Slope = change in y values/ change in x values

         = (7-3)/(0-2) = 4/-2 = -2

The given points gives us a line with constant slope of -2.

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Answer:

A,C,D

Step-by-step explanation:

The value of f(2) is 2.

What is graph function?

The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph. We may alternatively say that the graph of f is the graph of y = f. (x). As a result, the graph of an equation is a particular instance of the graph of a function.

All y-coordinates of the graph function are an output of the graph function.

All x-coordinates of the graph function are an input of the graph function.

f(2) is an output of the function.

Here find the y-coordinates of the point on the graph when the value of x is 2.

(2,3) is a point on the graph.

Thus f(2) = 3

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Answer:

Step-by-step explanation:

The solution to the equation given as 2x + 4y = 6x − y has the ordered pair of (3, 4)

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

2x+4y=6x−y

Solving further, we need to collect the like terms

So, the equation becomes

2x - 6x = -4y - y

Next, we evaluate the like terms in the above equation

So, we have the following representation

-4x = -3y

Divide both sides by -3

The equation becomes

x = 3/4y

At this point, we assume any value for y and then solve for x

Assume that the value of y is 4

So, we have the following representation

x = 3/4 * 4

Evaluate the products

x = 3

So, we have

x = 3 and y = 4

Express as ordered pairs

(x, y) = (3, 4)

Hence, the ordered pair of the solution is (3, 4)

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Answer:

the answer is 18 lol....

The value of P=2 and Q=8 as in AP, The difference in two terms is equal between all the terms.

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. Sn = n/2[2a + (n 1) d] is the formula to determine the sum of an arithmetic progression. where an is the first term in the arithmetic progression, n is the total number of terms, and d is the common difference. If there is always the same difference between any two consecutive terms in a series of numbers, that progression is known as an arithmetic progression. Simply put, it means that the previous number in the series is added to determine the next number in the series.

Here,

18--12=30/3=10

P=-12+10

=-2

Q=-2+10

=8

P=2 and Q=8 as in AP, the difference between the two terms is equal for all terms.

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Degree of a polynomial is the highest power that its terms contain which is 3 in the given monomial.

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

WE have been given an expression as 43πr³ represents the volume of a sphere, with radius r.

Terms can be added or subtracted to make a polynomial. They are composed of variables and constants all in multiplication.

So we know that if there is one term, then the polynomial will be called monomial.

Therefore, this expression is a monomial which have inly one term as 43πr³ .

Degree of a polynomial is the highest power that its terms contain which is 3 in the given monomial.

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The angular value of x is 3° as per the given the given information in the question.

An angle in Euclidean geometry is the figure produced by two rays, called the sides of the angle, that have a common termination, called the vertex of the angle. Angles formed by two rays lie in the plane containing the rays. Angles are also generated by the intersection of two planes. These are referred to as dihedral angles. Two intersecting curves can also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

Given,

m ∠GQP=80

m ∠RQP=3+59x

m ∠RQG=32x+4

From the figure,

m ∠RQG+ m ∠GQP= m ∠RQP

32x+4+80°=3+59x

27x=81°

x=3°

Therefore, the value of x=3°

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The value of x in the second ordered pair is - 0.5 or - 1/2 and that of y in the first ordered pair is 8.

The given ordered pair is (-3,y) and (x,2)

the equation y=-2x+2

In the first step we put the value of x as -3 as given in (-3,y) in the equation y=-2x+2, we get

y=-2(-3)+2

⇒y=6+2

⇒y=8

So the value of y is 8 then the ordered pair will be (-3,8).

Again, in the second step, we put the value of y as 2 as given in (x,2) in the equation y=-2x+2, and we get

2=-2x+2

⇒2x=2-2

⇒2x=0

⇒x=0

So the value of x is 0, and the ordered pair will be (0,2).

The table:

I have provided a photo of the table:

Answer:

2

Step-by-step explanation:

This is because yes. If you add 1 and 1 (use your fingers) and count the two, you simply get 2.

Answer:

Step-by-step explanation:

The ellipse given by x^2+xy+2y^2=7. The y-coordinate(s) of all points are -11.3, 11.2, -5.665, 5.585 where the ellipse has a vertical tangent line.

Differentiation is the process of determining a function's derivative. Differentiating algebraic functions, trigonometric functions, and exponential functions are the three fundamental derivatives.

Given,

Ellipse given,

x²+ xy + y ² = 7

Differentiating:

dy/dx

x²+ xy + y² = 7

d/dx(x² + xy + y²) = d/dx(7)

2x + 1y + x dy/dx + 2y dy/dx = 0

dy/dx = 2x + y/ x + 2y

dy/dx = 0

2x + y = 0

x + 2y = 0

Now, we have 2 equations,

x² + xy + y² = 0

y = -2x

Solving equations by substitution method,

x² + x(-2x) + (-2x)² = 7

x² - 2x² + 4x² = 7

3x² = 7

x = ±√21/3

Using y = -2x

Points are:

( -2√21/3 , √21/3) and (2√21/3 , -√21/3)

±√21/3 = ±1.528

x² + xy + y² = 7 [-11.3, 11.2, -5.665, 5.585]}

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[tex]{ \pink{ \boxed{ \purple{ \sf{f(3) = 98}}}}}[/tex]

Step-by-step explanation:

[tex]{ \blue{ \tt{f(x) = 2 {x}^{4} - 8 {x}^{2} + 5x - 7}}}[/tex]

[tex]{ \blue{ \tt{f(3) = 2( {3})^{4} - 8( {3})^{2} + 5(3) - 7}}}[/tex]

[tex]{ \blue{ \tt{f(3) = 2(81) - 8(9) + 15 - 7}}}[/tex]

[tex]{ \blue{ \tt{f(3) = 162 - 72 + 8}}}[/tex]

[tex]{ \blue{ \tt{f(3) = 162 - 64}}}[/tex]

[tex]{ \red{ \boxed{ \green{ \sf{f(3) = 98}}}}}[/tex]

The missing values of the ordered pairs using the given equation are:

x = -1; y = 8

The computed table is:

x  | y  

-3   8

-1,   2

To complete a table of values, we can plug in the known value of each of the ordered pairs that are represented in a table into the given equation that models the relationship, then find the value of the missing variable.

The equation that represents the relationship between x and y is given as y = -3x - 1.

Find the value y in the ordered pair (-3, y) by substituting x = -3 into y = -3x - 1:

y = -3(-3) - 1 = 8

y = 8

Find the value x in the ordered pair (x, 2) by substituting y = 2 into y = -3x - 1:

2 = -3x - 1

Add 1 to both sides

3 = -3x

Divide both sides by -3

x = 3/-3

x = -1

The ordered pairs with the missing values are: (-3, 8) and (-1, 2).

The table would be computed as:

x  | y  

-3   8

-1,   2

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Answer:

Multiply and divide by √2 . You'll get √22

Step-by-step explanation:

The equation of the line perpendicular to the given line is, y = 3x + 1.

What is slope of the line?

The change in y coordinate relative to the change in x coordinate is referred to as a line's slope in mathematics. The symbols Δy and Δx stand for the net change in the y-coordinate and the net change in the x-coordinate, respectively. where "m" denotes a line's gradient. tanθ then represents the slope of a line.

Consider, the given equation of line

[tex]y = -\frac{1}{3}x+4[/tex]

We have to find the equation of line passes through the point (-2, -5) and perpendicular to the given line.

Here, the point is (-2, 5).

First to find the slope of the line.

Since, the slope of the line, perpendicular to the given line is negative reciprocal of the slope of given line.

Here, the slope of given line is, -1/3.

So, the slope of perpendicular line is [tex]-(\frac{1}{(-\frac{1}{3}) }) = 3[/tex]

Therefore, the slope of the line is 3.

Now to find the equation of the line.

Consider, the point - slope form of the line

[tex]y-y_1=m(x-x_1)[/tex]

Plug [tex](x_1, y_1) = (-2, -5) , m = 3[/tex]

⇒

[tex]y-(-5)=3(x-(-2))\\y+5=3(x+2)\\y+5=3x+6\\y=3x+6-5\\y=3x+1[/tex]

Hence, the equation of line in slope - intercept form, is y = 3x + 1.

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The sign of coordinate of x of a point after the reflection along the y-axis will be interchanged thus the coordinate of K'(2,5).

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

The given point K(-2,-5)

If we reflect a point(x,y) along the y-axis then the coordinate after reflection converts as K'(-x,y)

The reflection of K(-2,-5) along the y-axis will be  K'(2,5).

Hence "The sign of coordinate of x of a point after the reflection along the y-axis will be interchanged thus the coordinate of K'(2,5)".

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Answer:

3x  + 12

Step-by-step explanation:

3(x+1)+9

= 3x  + 3 + 9

= 3x  + 12