slope of the line that passes through (10, 4) and (5, 13). as a integer

Hello,

I hope you and your family are doing well!

The polynomial x^3-13x^2+25x+50 can be factored as (x+5)(x-5)(x+10).

The polynomial x^4+7x^3+13x^2+6x-45 can be factored as (x+5)(x-5)(x+3)(x-3).

So the correct match is:

(x+5) - x^3-13x^2+25x+50

(x-5) - x^3-13x^2+25x+50

(x+10) - x^3-13x^2+25x+50

(x-10) - x^4+7x^3+13x^2+6x-45

Please leave stars and brainliest if you find this answer helpful since it does encourage me to continue helping others.

Happy Holidays!

The constant of proportionality (p) for the data points on this graph would then be determined as follows: [tex]p = y/xp = 420/6 = 560/8p = 70.[/tex]

following equation: y = px

Where:

p is the constant of proportionality.

y represents the gems collected.

x represents the game levels.

The constant of proportionality (p) for the data points on this graph would then be determined as follows: [tex]p = y/xp = 420/6 = 560/8p = 70.[/tex]

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Total number of seats for the center aisle z  = 400 + 10x + Y

The cafeteria would have a total of 3z = 1200 + 30 x + 3y chairs.

The word "total" refers to the addition of numbers or the destruction of something, and a total is a whole or full sum. In mathematics, adding two or more integers yields the sum. When you multiply 8 by 8, you get 16.

If z represents the total number of seats, then z=z1 + z2.

The equation for the first ten rows would be 10 (30 + x)= z1.

The equation for the final five rows would be 5 (20 + y) = z2.

Therefore, there would be z= z1+ z2  seats in the center aisle.

So total number of chairs in the middle aisle would be

z= z1+ z2

z= 10 ( 30 + x)+5 ( 20 + y)

z= 300 + 10x + 100 + y

z= 400 + 10x + y

The total number of chairs in the cafeteria would be z +z +z ( for the 3 aisle right , middle and left)

3z = 3(400 + 10x + y)

3z= 1200 + 30 x+ 3y

Total number of seats for the center aisle z  = 400 + 10x + Y

The cafeteria would have a total of 3z = 1200 + 30 x + 3y chairs.

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Answer:

400

Step-by-step explanation:

403.1 rounded is 400

Answer:

All are rational except 47.444...

After 5 years the value of the farmhouse would be $23675 more than the value of the farmhouse when it was built.

What is the exponential function?

The exponential function is a mathematical function denoted by [tex]f(x)=e^{x}[/tex]. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to complex numbers or generalized to other mathematical objects like matrices or Lie algebras.

The value of a farmhouse, in dollars, x years from the year it was built can be predicted by the function

               [tex]g (x) = 65500(1.05)^x[/tex]

Now the given table shows that the value of the farmhouse over the years

Now the value of the farmhouse when it was built = $70000

Now after 5 years, the cost would be

                [tex]g(x) = 65500(1.05)^x\\\\g(5)=65500(1.05)^5\\\\g(5) = 93675\\[/tex]

Now the difference would be = 93675 - 70000

                                                 = $23675.

Hence, After 5 years the value of the farmhouse would be $23675 more than the value of the farmhouse when it was built.

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Answer:

I'm not sure but x1=3 that's all I know I didn't do it on edge tho

Answer:

  r = 11

Step-by-step explanation:

Since we have a slope and one confirmed point, a good approach would be to find the equation of the line that goes through that point.  The equation can then be used to find r, for x = 3.

The standard format for an equation of a straight line is y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).  The slope is -3:

  y = -3x + b

To find b, enter the given point and solve for b:

  -1 = -3*(7) + b  [for (7,-1)]

   b = 20

The equation for this line is y = -3x + 20

Now enter (3,r)

y = -3x + 20

r = -3(3) + 20

r = 11

The point (3,r) is (3,11)

See the attached graph

Answer:8

Step-by-step explanation: isaid it is

Answer:

c is correct

Step-by-step explanation:

take 8 common bro

This data collection may be characterized as numerical and univariate.

What is numerical and univariate?

If the collection of all potential values for a numerical univariate data is finite or countably infinite, the data is discrete. Usually, discrete univariate data are used in counting (such as the number of books read by a person). If the range of all potential values is a set of numbers, then a numerical univariate data is continuous.

Categorical data:

Categorical variables represent different sorts of data that may be categorized. Race, sex, age group, and educational level are some examples of categorical variables.

Data types that may be kept and recognized based on the names or labels assigned to them are referred to as categorical data.

Numerical data refers to the data that is in the form of numbers, and not in any language or descriptive form. Also known as qualitative data as it qualifies data before classifying it.

Over here we have the data for the average time spent reading per day for students in an 8th grade class.

Average Time is a numerical data

Bivariate data deals with two variables univariate data, which is one variable data we have numerical data and one variables so its Numerical and univariate.

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The value of x is 0.636.

What is logarithms?

The opposite of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

f(x) = [tex]log_{a}x[/tex] (r) y = [tex]log_{a}x[/tex], where a > 0. It is the inverse of the exponential function a^y = x. Log functions include natural logarithm (ln) or common logarithm (log).

Given equation is

e^(5x) = 24

taking log with base e on both sides:

ln e^(5x) = ln 24

Applying the formula ln e^a = a

5x = ln 24

Divide both sides by 5:

x = 0.636

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By solving equations we know that he should mix 4 grams and 16 grams of the 30% and 60% bottles, respectively.

In mathematical equations, the equals sign is used to show that two expressions are equal.

According to algebra, an equation is a statement that shows the equality of two mathematical expressions.

For instance, the formulas 3x + 5 and 14, which together make the equation 3x + 5 = 14, are separated by the word "equal."

So, John requires a total of 20 grams.

Let x equal the 30% that he requires.

Let 20-x equal 60% of what he needs.

So, we have:

(x/20 * 30) + (20-x/20 * 60) = 54

Evaluate as follows:

1.5x + 60 -3x = 54

-1.5x = -6

x = 4 grams

20-x = 16 grams

Therefore, by solving equations we know that he should mix 4 grams and 16 grams of the 30% and 60% bottles, respectively.

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The value of side JK in the Rhombus JKLM is 3√41.

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape.

Given that,

JKLM is a rhombus,

And side MN = 15 and diagonal JL = 24,

Since, In rhombus diagonal bisects each other at equally at 90°.

Therefore, ∠JNK = 90°, and JN = JL/2 = 12

Also, NK =MN = 15

Use Pythagorean formula to find side JK,

JK² = JN² + NK²

      = (12)² + (15)²

      = 144 + 225

JK² = 369

JK  = 3√41

The required value of side JK is 3√41.

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(a) This is the factored form of the equation.

(b) The x - intercepts are  (√2, 0) and (-√2, 0).

(c) The value of f(-1) is -8.

What is x - intercept?

We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept.

(a)  Consider, the given equation

f(x) = 8x^2 - 16

First to factor the equation.

Take 8 common from both the terms,

f(x) = 8(x^2 - 2)

This is the factored form of the equation.

(b) Now to find the x- intercept.

Let y = 8x^2 - 16

Set y = 0

So,

0 = 8x^2 - 16

8x^2 - 16 =0

x^2 - 2 = 0

x^2 = 2

x = ±√2

Hence, the x - intercepts are  (√2, 0) and (-√2, 0).

(c) Now to find the value of f(-1)

plug x = -1 in the given equation.

f(-1) = 8(-1)^2 - 16

f(-1) = 8(1) - 16

f(-1) = 8 - 16

f(-1) = -8

Hence, the value of f(-1) is -8.

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For the given similar triangle the value of x will be 9 inches.

It is required by law to demonstrate that two triangles are identical in shape, although size is not a requirement. The comparable angles are congruent and the ratio of the respective sides is in the same proportions.

It is given that, the unknown side is x, from the observation it is obtained that the two triangles are similar

The derived formula is, because the sides of the similar triangles are all equal in ratio.

8/6=12/x

x=12×6 / 8

x=9 inches

Thus, for the given similar triangle the value of x will be 9 inches.

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Answer:

-7x(to the power of 2)-2x-16

Explanation:

Therefore ,the answer that states, "Infinitely many solutions, both sides are equivalent expressions" is the one that should be selected in this case.

Equations are mathematical expressions that have two algebraic expressions on either side of an equals (=) sign.  For an unknown quantity represented by an unknown variable, equations can be solved to determine its value.

Here,

The number of solutions is unlimited if there are more variables than linear independent equations.

A single solution or no solution is possible if there are the same number of linearly independent equations and variables.

In the following scenarios, we are at a loss for solutions:

y = x + 3

y = x - 3

this causes:

x + 3 = x - 3

+3 = -3

Consequently, this system lacks a solution.

The first set of equations is

y = x + 5

y = 2x + 5

You can see that there is only one solution for this system because there are only two variables and two linear independent equations.

Thus, "One solution, the graph of these lines should connect at one point" is what we have here. The key idea is (0, 5)

Another system is:

y =x+x+5 = 2x + 5

y = 2x+ 5

Since both equations are identical and there are just two variables in this situation, there are an endless number of solutions to the system.

The answer that states, "Infinitely many solutions, both sides are equivalent expressions" is the one that should be selected in this case.

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Answer:

353340 + x + 33

Step-by-step explanation:

real life sum situation

Answer: point A will stay where it is.

Step-by-step explanation: point A is the point of rotation

The reciprocal of 7 3/7 is 7/52

Answer: I'm pretty sure it's 7/52

Step-by-step explanation:

7*7 is 49, plus the 3 is 52, then the reciprocal of that. 7/52 is already in it's simplest form. Hope this helps!

The combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.

According to the question,

We have the following information:

A sandwich hop serve 4 ounce of meat and 3 ounce of cheese on each sandwich. After making sandwiches for an hour the hop owner has used 91 combined ounce of meat and cheese.

Combined ounces for 1 sandwich:

Ounces of meat + ounces of cheese

4+3

7 ounces

It is given that in an hour 91 ounces of combined cheese and meat are used.

Now, we have:

Number of sandwiches made in 1 hour = 91/7

Number of sandwiches = 13

Ounces of meat used in 13 sandwiches can be found using multiplication as follows:

13*4

Ounces of meat used in 13 sandwiches = 52 ounces

Ounces of cheese used in 13 sandwiches can found using multiplication as follows:

13*3

Ounces of cheese used in 13 sandwiches = 39 ounces

Hence, the combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.

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Answer: To find the number of liters of water in the first pool after x minutes have passed, we can use the formula:

972 + 17x

To find the number of liters of water in the second pool after x minutes have passed, we can use the formula:

44x

Note that both of these formulas assume that the pools are being filled continuously, without any interruptions. If the flow of water into either pool is interrupted at any point, the actual amount of water in the pools may be different from what these formulas predict.

Answer:

a)

17x + 972

44x

b)

972 + 17x = 44x

Step-by-step explanation:

The following is not the same across classification and regression decision trees is a . type of predicted variable .

Given :

which of the following is not the same across classification and regression decision trees a. type of predicted variable b. impurity measure/ splitting criteria .

What is classification and regression decision trees ?

CART is a predictive algorithm used in Machine learning and it explains how the target variable's values can be predicted based on other matters.

The  not same across classification and regression decision trees is type of predicted variable .

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Brace's boat is 225 feet from the bottom of the lighthouse.

What do you mean by trignoemtry?

Trigonometry (“triangles” and “measures”) is the branch of mathematics that studies the relationship between the side lengths and angles of triangles.

Trigonometry is one of the important branches in the history of mathematics that studies the relationship between the sides and angles of right triangles.

Trigonometric ratios of triangles are also called trigonometric functions. Sine, cosine, and tangent are three important trigonometric functions, abbreviated sin, cos, and tan.

It is given that Dontaya is at the top of a lighthouse which is 250 feet above sea level. From the top, the measure of the angle of depression to Brace's boat on the water is 48 degrees

Let Brace's boat is x feet from the bottom of the lighthouse.

Using trignometric ratios,

tan 48 = [tex]\frac{P}{B}=\frac{250}{x}[/tex]

1.11 = [tex]\frac{250}{x}[/tex]

x = [tex]\frac{250}{1.11} = 225.23[/tex] ≈ 225 feet

Therefore, Brace's boat is 225 feet from the bottom of the lighthouse.

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Integers lying in between in interval  (1, 8) are 3, 4, 5, 6, 7, which  satisfy the given inequality.

4x - 5 > 4

4x > 9

x > 2.25

Integers lying in between in open interval  (1, 8) are 3, 4, 5, 6, 7

Thus, integers lying in between in interval  (1, 8) are 3, 4, 5, 6, 7, which  satisfy the given inequality.

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The correct question is-

State all integer values of x in the interval (1, 8) that satisfy the following inequality:

4x - 5 > 4

Answer:

Part A: $32.10

Part B: 156 miles

Step-by-step explanation:

Part A:

$0.05 per mile. 0.05 times 42 = $2.10

30 + 2.10 = $32.10

Part B:

The rent cost a day is $30

37.80 - 30 = $7.80

7.80 is the money for miles

7.80 divided by 0.05 = 156 miles

The degree measure of ∠W if m∠X = 29.8° is 60.2 °.

Given:

Angles W and X are complementary, determine the degree of measure of ∠W if m∠X = 29.8° .

Let x be the measure of angle w.

we know that ,

Complementary angles :

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

m <X + m <W = 90°

substitute angle x value

29.8 ° + x = 90 °

x = 90 ° - 29.8 °

x = 60.2 °

Therefore the degree measure of m <W = 60.2 °.

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Full question :

Angles W and X are complementary. Determine the degree measure of m <W if m∠X = 29.8°.

2 monthly = 2 m, an equation for calculating the total number of movies she will watch over the course of m months.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, etc.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.

According to our question-

Mai may view the following number of films each month if he watched two per month:

movies available = n

m = months

2 monthly = 2 m

Hence, 2 monthly = 2 m, an equation for calculating the total number of movies she will watch over the course of m months.

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The distance from the the point on the ground bellow the hot air balloon is 1039 feet

Distance here talks about how far the person stands from a point

The given parameters are

The angle of depression from the point 30⁰

Height of the air balloon = 600 feet

The distance from the the point on the ground bellow the hot air balloon = x

To find x we use the trigonometric ratio:

TanB = opposite/Adjacent

Tan30 = 600/x

This implies that x*tan30 = 600

Making x the subject we have 600/tan30

⇒x = 600/0.5774

x=1034 feet

In conclusion, the distance from the the point on the ground bellow the hot air balloon is 1039 feet

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