(x+6)(x-5) what is the degree,leading coefficient,constant term,horizontal interception,vertical intercepts

The linear equation that represents the given rule is f(x) = 221x + 447.

To find the linear equation, we need to determine the slope and y-intercept. Looking at the given rule, we can observe that the values of f(x) increase by 221 as x increases by 1. This indicates that the slope of the line is 221.

Now, we need to find the y-intercept. From the given rule, we can see that when x is 0, f(x) is 447. Therefore, the y-intercept is 447.

Combining the slope and y-intercept, we can write the linear equation as f(x) = 221x + 447. This equation represents the given rule, where f(x) is determined by multiplying x by 221 and adding 447 to it.

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Answer:

There are 3 common factors of 8 and 20, that are 1, 2, and 4. Therefore, the greatest common factor of 8 and 20 is 4.

Answer:

i think its 48

since 144384 divided by 48 would be 3008 and 432 divided by 48 would be 9. I believe thats the highest it can go to.

Answer:

y + 10 =2( x +1)

or

y -2 + 2( x -5)

These both name the same line.

Step-by-step explanation:

First we need to find the slope.  The slope is the change in y over the change in x.  In the point (-1,-10)

-1 is the x and -10 is the y.

In the point (5,2)  

5 is the x and 2 is the y.

\(\frac{2- -10)}{5 - -1)}\)  Subtracting a negative is the same as adding a positive.

\(\frac{2+ 10}{5+1}\) = \(\frac{12}{6}\) = 2

We know know the slope.  We will use the form

y - \(y_{1}\) = m (x-\(x_{1}\))  we will plug in the numbers that we know.  

If we use point (-1, -10)

y -- -10 = 2(x - -1)

y + 10 = 2( x+1)

If we use the point (5,2)

y -2 = 2(x -5)

Both equations mean the same thing.

Answer:i think its 115 degres

Step-by-step explanation:

The value of ta(u) 1 5 9 is and ta(v) is  9 -1 11.

To find the matrix transformation corresponding to a =

| 3 -1 |

| 1 2 |

| 1 4 |

and the transformation of vectors u =

| 1 |

| 2 |

and v =

| 3 |

|-2 |

We can compute ta(u) and ta(v) as follows:

ta(u) = a * u =

| 3 -1 |

| 1 2 |

| 1 4 | *

| 1 |

| 2 | =

| 1 |

| 5 |

| 9 |

So, ta(u) =

| 1 |

| 5 |

| 9 |

Similarly,

ta(v) = a * v =

| 3 -1 |

| 1 2 |

| 1 4 | *

| 3 |

|-2 | =

| 9 -7 |

|-1 2 |

|11 - 5 |

So, ta(v) =

| 9 |

|-1 |

|11 |

Note that the dimensions of ta(u) and ta(v) are 3x1 and 3x1 respectively, since the matrix transformation ta maps vectors in R^2 to vectors in R^3.

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The required ratio of the number of boy to the number of girl is 3/4.

A ratio is a method for showing a relationship or look at two quantities of a similar kind. We use proportions to think about things of a similar kind. For instance, we might utilize a proportion to contrast the quantity of young men with the quantity of young ladies in your study hall.

Let us consider number of boys is x and that of girls is y.

x + y = 70 ------------------------(1)

And

y = x + 10

Put the value of y in eq(1),we get

x + x + 10 = 70

2x = 60

x = 30

So, the number of boys are 30, then girls are 30 + 10 = 40

Now, the ratio of the number of boy to the number of girl is

x/y = 30/40 = 3/4

Thus, ratio is 3/4.

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The work done by the force F in moving an object over the curve r(t) from t=1 to t=e is approximately 22.1 Nm.

To find the work done by the force F in moving an object over the curve r(t), we need to evaluate the line integral of the dot product of the force and the curve over the given interval. The line integral can be expressed as:

W = ∫ F · dr

where dr is the differential vector of the curve r(t). In this case, we have:

r(t) = e'i + (ln t)j + tk

Taking the differential of r(t), we have:

dr = (e'dt)i + (1/t)j + dk

Next, we need to evaluate the dot product of F and dr:

F · dr = (e'i + (ln x)j + 3zk) · ((e'dt)i + (1/t)j + dk)

= e'dt + (ln x)/t + 3t

Now, we can integrate this dot product over the given interval [1, e] to find the work done by the force F:

W = ∫ F · dr = ∫1e (e'dt + (ln x)/t + 3t)dt

= [et + (ln t)^2/2 + (3/2)t^2]1e

Plugging in the limits of integration and simplifying, we get:

W = e^2 + (1/2)(ln e)^2 - 1/2 + (3/2)e^2 - (3/2)

W = 22.1 Nm

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Point-slope form

\(y-2=4(x+1)\)

Slope-intercept form

\(y-2=4x+4 \\ \\ y=4x+6\)

Standard form

\(4x-y+6=0\)

Answer:

\(\textsf{Point-slope form}: \quad \sf y-2=4(x+1)\)

\(\textsf{Slope-intercept form}: \quad \sf y=4x+6\)

\(\textsf{Standard form}: \quad \sf 4x-y=-6\)

Step-by-step explanation:

Given information:

Point-slope form of linear equation:  

\(\sf y-y_1=m(x-x_1)\)

(where m is the slope and (x₁, y₁) is a point on the line)

Substitute the given slope and point into the formula:

\(\implies \sf y-2=4(x-(-1))\)

\(\implies \sf y-2=4(x+1)\)

Slope-intercept form of a linear equation:

\(\sf y=mx+b\)

(where m is the slope and b is the y-intercept)

Substitute the given slope and point into the formula and solve for b:

\(\implies \sf 2=4(-1)+b\)

\(\implies \sf b=6\)

Therefore:

\(\sf y=4x+6\)

Standard form of a linear equation:

\(\sf Ax+By=C\)

(where A, B and C are constants and A must be positive)

Rearrange the found slope-intercept form of the equation into standard form:

\(\implies \sf y=4x+6\)

\(\implies \sf 4x-y+6=0\)

\(\implies \sf 4x-y=-6\)

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The height of the storage box is,

Height = 8 inches

We have to given that,

Morgan has a storage box with a volume of 216 cubic inches.

And, the area of the base measures 27 inches squared.

Since, We know that,

Volume of cuboid = Base area x height

Substitute all the values, we get;

216 = 27 × Height

Height = 216 / 27

Height = 8 inches

Therefore, the height of the storage box is,

Height = 8 inches

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(25) The equation of volume is x³+5x²+4x-84 = 0.

(26) Rational zeros = ±{1, 2, 3, 4, 6, 7, 14, 21, 42, 84}

(27) The dimension of the box is 3, -4.-3.5i and -4+3.5i.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Give that,

The equation for the volume of box,

V= x³+5x²+4x.

(24)

The volume of the box is 84,

⇒x³+5x²+4x = 84

⇒x³+5x²+4x-84 = 0

The equation of volume is x³+5x²+4x-84 = 0.

(25)

To find rational zeros,

Coefficient of constant term = -84

Factor of constant term =± {1, 2, 3, 4, 6, 7, 14, 21, 42, 84}

Coefficient of leading term = 1

Factor of leading term =± 1

Rational zeros = ±{1, 2, 3, 4, 6, 7, 14, 21, 42, 84}

(26)

To find the dimension of the box,

Find factor of equation x³+5x²+4x-84 = 0

The factors are 3, -4.-3.5i and -4+3.5i.

The dimension of the box is 3, -4.-3.5i and -4+3.5i.

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Answer:

Step-by-step explanation:

To bring the outside temperature from -20 degrees Fahrenheit to 0 degrees Fahrenheit, a change of +20 degrees Fahrenheit is needed.

The temperature scale used in the US is the Fahrenheit scale. In this scale, the freezing point of water is 32 degrees Fahrenheit, while the boiling point is 212 degrees Fahrenheit.

A change of 1 degree Fahrenheit is equivalent to a change of 5/9 degree Celsius. Therefore, to bring the temperature from -20 degrees Fahrenheit to 0 degrees Fahrenheit, we need to add 20 degrees Fahrenheit.

This means the temperature would have to increase by 20 degrees Fahrenheit to reach 0 degrees Fahrenheit.

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Answer: Triangular Prism I think

Step-by-step explanation:

Answer:

C 71/248

Step-by-step explanation:

College Board

The probability that the selected student will be be in grade 10 given that the student ordered French fries is 71/245

The conditional probability can be defines thus :

Hence,

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Answer:

39

Step-by-step explanation:

65/5=13

13x3=39

Answer:

39

Step-by-step explanation:

Note that p = 5. Plug in 5 for p in the expression. Remember to follow the  

left-> right rule:

65/p • 3

65/5 • 3

(65/5)  •  3

(13)  •  3 = 39

39 is your answer.

~

Answer:

a = 9 ; b = 26 ; c = 24

Step-by-step explanation:

(x^2+3x+2x+6)(x+4)

(x^2+5x+6)(x+4)

x^3+5x^2+6x+4x^2+20x+24

x^3+9x^2+26x+24

We could expect $30.00 to gain after 20 tosses.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

The probability of all the events occurring need to be 1.

if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.

We need to find out How much would you expect to gain after 20 tosses (in $ dollars).

Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.

Therefore, We could expect $30.00 to gain after 20 tosses.

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After solving the given expression the values for x will be equal to x = 1 and x = 13.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

The given equation is,

(x - 7)² = 36

x - 7 = √36

x = ±6

Then the values for x will be,

x1 = 6 + 7 = 17

x2 = -6 + 7 = -1

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Answer:

A parallelogram is a quadrilateral that has both pairs of opposite sides parallel. Theorem 15.5: A diagonal of a parallelogram separates it into two congruent triangles. Example 2: Write a formal proof of Theorem 15.5.

Answer:

2x -1

Step-by-step explanation:

x*x =2x 3-4 =-1

2x+-4

The slope of the line is undefined.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-4, 6) and (-4, 1)

Now,

Since, The equation of line passes through the points (-4, 6) and (-4, 1)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 6) / (-4 - (-3))

m = - 5 / 0

m = ∞

Thus, The slope of the line is undefined.

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Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

Answer:

y = | x | + 1

Step-by-step explanation:

Given y then y + c represents a vertical translation of y

•  If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 1 unit up, thus

y = | x | + 1

Answer: 32.75

Step-by-step explanation:

So you can break this trapezoid into two parts: a square and a triangle. the square has an area of 25 square feet. For the triangle, we can just use 3.1 (the base) * 5 (the height)/2 because the triangle is just a half of a rectangle, so we can just treat it as a normal rectangle, but them divide by two at the end. so 3.1*5/2 = 7.75 square feet, and 25 + 7.75 square feet = 32.75 square feet

Answer:

PLS SOMEONE ANSWER MY QUESTION

Step-by-step explanation:

Anthony's "hiring process" or "recruitment period" was 30 days.

The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.

The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.

In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.

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Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

4x - 1 = 7x - 16

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 19 does indeed equal 19.

∴ x = 5 is a solution to the equation.

Answer:

4x−1=7x−16

Step 1: Subtract 7x from both sides.

4x−1−7x=7x−16−7x

−3x−1=−16

Step 2: Add 1 to both sides.

−3x−1+1=−16+1

−3x=−15

Step 3: Divide both sides by -3.

−3x

−3

=

−15

−3

x=5

Step-by-step explanation:

Answer: 55% of 180, 12% of 700, and 30% of 260.

Step-by-step explanation:

55% of 180 = 99…

30% of 260 = 78…

and 12% 700 = 84…

Answer:

55% of 180 > 12% of 700 > 30% of 260

Step-by-step explanation:

55% of 180 = 99

30% of 260 = 78

12% of 700 = 84