Why are rectangles relatable to factors

Answer:

Should be something along the lines of:

3,450 = 326x - 310

Step-by-step explanation:

First, let's start with the number of years. Assume the number of years is x. 3262 greenhouses amounts to about 326 greehouses/year. The other number was the existing greenhouses, but we want just how many greenhouses that were built, per the subtraction sign.

Hope this helps!! : )

Sorry if I am wrong, haven't done equations in a while.

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Answer:

Joel earns $7 per hour to mow his aunt's lawn. If he spends $6 on gas, how many hours, x , will he need to mow to have $ 29 left?

Step-by-step explanation:

The given equation is :

6x - 7 = 29

It is given that total hours be = x

Joel earns $7  per hour, so the total earning of Joel in x hours is = $ 7x

He spends $6 on gas, so = 7x - 6

He is left with $ 29 after spending on gas.

Therefore, the equation becomes :

7x - 6 = 29

Clearly, it can be seen that in this case, the given situation cannot be represented by the given equation, i.e. 6x - 7 = 29.

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

Answer:

use the slope formula to find the slope of a line given the coordinates of two points on the line and the slope formula is m=( y2- y1)/ (x2 - x1) or the change in the y values over the change in x values.The coordinates of the point represent x1 and y1. The coordinates of the second points are x2, y2.

Answer:

One Solution

Explanation:

change sides

one solution ↓

Answer:

One solution

Step-by-step explanation:

When solving for d, you get d = - 8

Answer:

j = 2

Step-by-step explanation:

Combine like terms

6j-11j-11j+10=-13

-16j+19=-13

Subtract 19 from both sides of the equation

-16j+19=-13

-16+19-19=-13-19

Simplify

-16j=-32

Divide both sides of the equation by the same term

Simplify again

Which gives you j=2

Answer:

infinite if you say that you have to find 2 or 3 solution so we can find by putting x value like 0 ,2,1 or also you can put y value

Answer:

Step-by-step explanation:

complex roots always occur in pairs.

so two roots are 4-i and 4+i

[x-(4-i)] and [x-(4+i)] are factors of f(x)

or [(x-4)+i] and [(x-4)-i] are factors of f(x)

[(x-4)+i][(x-4)-i]=(x-4)²-i²=x²-8x+16-(-1)=x²-8x+17

x²-8x+17) x³  -5 x²  -7 x +51( x+3

               x³  -8x²  +17x

             -      +        -

          ________________

                      3x²  -24x +51

                      3x²  -24x +51

                    -        +       -

                ______________

                      0

                ______________

so one more factor is x+3

or zero =-3

Hence zeros of f(x) are -3,4-i,4+i

Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:

The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).

The vertex represents the minimum or maximum point of the parabola.

The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\)  term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)

The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)

On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)

It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.

The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.

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Answer:

4.7

Step-by-step explanation:

Answer:

4.7

Step-by-step explanation:

Answer:

3/11 for two red balls

2/11 for two green balls

Step-by-step explanation:

6 red and 5 green balls

Answer:

3/11

2/11

Step-by-step explanation:

Answer:

x = -4, y = 7

Step-by-step explanation:

The two equations are:

5x + y = -13  ... (1)

-5x - 6y = -22 ...(2)

Isolate for x in (1)

5x + y = -13

5x = -13 -y

x = (-13-y)/5

Substitute this value of x into equation (1) -5x - 6y = -22

-5 · (-13-y)/5 -6y = -22

-1(-13-y) - 6y = -22

13 + y -6y = -22

y - 6y = -22 - 13

-5y = - 35

y = -35/-5 = 7

Substitute y = 7 in equation 1
5x + 7 = -13

5x = -13 - 7

5x = -20

x = 20/-5 = -4

Ans:

x = -4, y = 7

In the given map, the approximate area of the Central Park is 450 blocks

Froom the question, we are to determine the approximate area of the central park.

The park is a rectangular park and the approximate area of the park can be calculated by using the formula for calculating the area of a rectangle.

If Central Park is about 50 blocks long by 9 blocks wide, we can find its approximate area by multiplying the length and width:

Area = Length x Width

Area = 50 x 9

Area = 450

Hence, the approximate area of Central Park is 450 blocks.

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Answer:

Step-by-step explanation:

4/(8/9)-(1/2)=4

Answer:

122

Step-by-step explanation:

Given information, line t is parallel to line s.

angle 1 and angle 2 are alternate angles and so their measure is equal to each other:

10x + 2 = 12x - 22 transfer like terms to the same side of the equation

2 + 22 = 12x - 10x

24 = 2x divide both sides by 2

12 = x to find the measure of angle 2 replace x with the value we found

12*12 - 22 = 122

Please find attached photograph for your answer

Answer:

-1

Step-by-step explanation:

x = the slope. Since it says -x we know that it'd be -1.

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

The graph of s(x) = -6x + \(8x^2\) + 5x + 3 is concave up at the point with x-coordinate -1. Let us consider the second derivative.

To determine the concavity of a function at a specific point, we need to analyze the second derivative of the function. If the second derivative is positive, the graph is concave up, and if it is negative, the graph is concave down.

Given s(x) = -6x + \(8x^2\) + 5x + 3, let's find the second derivative:

s'(x) = -6 + 16x + 5

s''(x) = 16

The second derivative is a constant, 16, which is positive. Since it is always positive, the graph of s(x) is concave up for all values of x. Therefore, at the point with x-coordinate -1, the graph is also concave up.

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The progress reports may be given verbally to immediate supervisors, management, and users.

The above statement is False.

Progress reports are reports in which you update project information. Progress reports allow management and clients to stay informed of project status and to modify or adjust tasks, schedules and budgets.

Progress reports are important beyond simply tracking and managing various projects happening at the same time. Progress reports also provide valuable insight into how your team can complete projects more efficiently.

In addition to providing an overview of ongoing projects, well-structured progress report templates allow project managers to identify critical issues affecting team productivity and project progress.

Although progress reports may be given orally to immediate supervisors, they are usually communicated in writing to management and users.

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The power series for f(x) = 2/x allows us to approximate the function for different values of x, making it a valuable tool in calculus and other fields of mathematics.

To write the power series using summation notation for f(x) = 2/x, we need to first understand what a power series is. A power series is a series that represents a function as a sum of infinitely many terms, each containing a variable raised to a different power. In this case, we want to represent f(x) = 2/x as a power series.
The power series for f(x) = 2/x can be written in summation notation as follow
∑(n=1 to ∞) (−1)^(n−1) (x−1)^n
In this notation, the series starts from n=1 and goes to infinity. The term (-1)^(n-1) alternates between positive and negative values with each term, and (x-1)^n represents the variable raised to a power. The first term in the series, when n=1, is (x-1). The second term, when n=2, is -(x-1)^2/2. The third term, when n=3, is (x-1)^3/3, and so on.
The power series notation is a useful tool for representing functions in a compact and efficient way, allowing us to perform calculations with greater ease and accuracy. In this case, the power series for f(x) = 2/x allows us to approximate the function for different values of x, making it a valuable tool in calculus and other fields of mathematics.

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The answer is 8.

8x4=32

(8x7)-(8x3)=32

Hope this helps!

Answer:

80% passed

Step-by-step explanation:

1. 24 out of 30 passed

2. In order to make it a % you have to multiply

3. 100 * 24/30

4. = 2400/30

5. Therefore the answer is 80

The woman bought 3 apples, 4 oranges, and 5 pears.

The woman bought "a" apples, "o" oranges, and "p" pears.

According to the given information, the total number of fruit purchased is a dozen, which is equal to 12 pieces. We can express this in the equation:

a + o + p = 12 ---(Equation 1)

Additionally, the total cost of the fruit purchased is $6.30. We can set up another equation using the individual prices:

0.75a + 0.30o + 0.60p = 6.30 ---(Equation 2)

Since she bought at least one fruit of each kind, we know that a, o, and p are greater than or equal to 1.

Now, we can solve the system of equations (Equation 1 and Equation 2) to find the values of a, o, and p that satisfy both conditions.

Solving the equations, we find that a = 3, o = 4, and p = 5.

Therefore, the woman bought 3 apples, 4 oranges, and 5 pears.

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Answer:

2x^2=80

Step-by-step explanation:

Answer:

(f - g)(x) = x² - 3x - 70

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² - 2x - 63

g(x) = x + 7

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Answer:

2(8 x 4) + 2(4 x 10) + 2(8 x 10)

Step-by-step explanation:

the expression represents the surface area, because it is finding the area of the three different sizes of sides, doubling them, then adding them together

Answer: 4.1 feet : 4 feet

Step-by-step explanation:

From the question, we are informed that Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.

The conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet goes thus:

Since 1 feet = 0.305 meters

2.5 meters will be = 2.5/0.305 = 8.2 feet

Therefore the conversion ratio will be:.

= 8.2 : 8

Reducing to lowest term will be

= 4.1 feet : 4 feet.

= 4.1 : 4