What is the equation of the line that passes through the point (4, 4) and has a slope
of 3?

Answer:x=1

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

4x - 2(x + 3) = 8

4x - 2x - 6 = 8

2x - 6 = 8

2x = 14

x = 7

First step is to distribute -2 to x and 3, which equals -2x and -6

Second step is to subtract 4x - 2x, which equals 2x

Third step is to add -6 to 8, which equals 14

last step is to divide, 2x / 14, which equals 7

I hope this is correct

Answer: B

Step-by-step explanation:

(x,y) (-3,0) look for the point located at -3 on the x-axis and 0 on the y-axis

Answer:

The variable representation is x, x+2 and x+4 for this sequence.

Step-by-step explanation:

Given that:

The sum of 3 consecutive even numbers is 78.

Let,

The first even number is represented by x.

As the numbers are consecutive, thus,

First even number = x

Second even number = x+2

Third even number = x+4

Hence,

The variable representation is x, x+2 and x+4 for this sequence.

Answer:1.-40

2.Ig

Step-by-step explanation:

Answer:

ight bet

Step-by-step explanation:

1+1=4

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.

For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.

To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.

The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

Learn more about Polynomial here:

brainly.com/question/28973842

#SPJ11

Answer:

x = 7.98ft or x = 8ft

Step-by-step explanation:

Hope that helps :)

The function f(x) = x² - 1/x + 1, with domain [0, ∞), does not have an absolute maximum on its domain, but this does not contradict the extreme value theorem.

The extreme value theorem states that if a real-valued function f is continuous on a closed interval [a, b], then f must have both an absolute maximum and an absolute minimum on that interval.

However, the theorem does not apply to functions that have an open interval as their domain, such as f(x) = x² - 1/x + 1 with a domain of [0, ∞).

In this case, f(x) approaches infinity as x approaches 0, but it does not have a maximum value within the given domain. The lack of an absolute maximum for f(x) on [0, ∞) is consistent with the behavior of the function, and it does not violate the extreme value theorem since the domain is not a closed interval.

Therefore, the function f(x) = x² - 1/x + 1, defined on [0, ∞), lacks an absolute maximum, but this does not violate the extreme value theorem.

To know more about extreme value theorem, refer here:

https://brainly.com/question/30459993#

#SPJ4

Answer:

TSA=115.5cm²

Step-by-step explanation:

T.S.A=3πr²

Given r=3.5cm

eq.

3×22/7×3.5×3.5

=3×22×0.5×3.5

=115.5cm²

Answer:

\(19.25cm^{2} \\\)

Step-by-step explanation:

Formula

\(\frac{\pi r^{2} }{2}\)

Solve

\(\frac{(\frac{22}{7} )(3.5cm)^{2}}{2}= \frac{(\frac{22}{7} )(3.5cm)(3.5cm)}{2}=\frac{((\frac{22}{7} )(3.5cm))(3.5cm)}{2}=\frac{(\frac{77}{7}cm)(3.5cm) }{2}\)=

\(\frac{(11cm)(3.5cm)}{2}=\frac{38.5cm^{2}}{2}=19.25cm^{2}\)

Answer:

Undefined

Step-by-step explanation:

The slope on the graph is horizontal so there's no slope and the answer is just y = 3

For a line to be perpendicular to a horizontal line, it is going to be a vertical line.

All vertical lines have an undefined slope.

Answer:

\(y - 2x - 1 = 0\)

Step-by-step explanation:

the slope is :

\( \tan( \alpha ) = 4 \div 2 = 2\)

at a pt on graph , when

\(x = 1 \\ y = 3 \\ \)

therefore, coordinates are (1,3)

The equation is :

\((y - 3) = slope \times (x - 1) \\ (y - 3) = 2 \times (x - 1) \\ y - 3 = 2x - 2 \\ y - 2x - 1 = 0\)

To test the claim that the amounts dispensed by the new machine have a smaller standard deviation, we can perform a hypothesis test using the F-distribution. The null and alternative hypotheses for this test are:

Null Hypothesis (H₀): The standard deviation of the amounts dispensed by the new machine is greater than or equal to the standard deviation of the original machine. Symbolically, σ₁ ≥ σ₀.

Alternative Hypothesis (H₁): The standard deviation of the amounts dispensed by the new machine is smaller than the standard deviation of the original machine. Symbolically, σ₁ < σ₀.

In this case, σ₁ represents the standard deviation of the new machine, and σ₀ represents the standard deviation of the original machine.

To perform the hypothesis test, we can use the F-test statistic:

F = (s₁² / σ₁²) / (s₀² / σ₀²),

where s₁ is the sample standard deviation of the new machine (26 milliliters), σ₁ is the population standard deviation of the new machine (unknown), s₀ is the sample standard deviation of the original machine (81 milliliters), and σ₀ is the population standard deviation of the original machine (known).

We will compare the computed F-test statistic with the critical F-value obtained from the F-distribution table or calculated using statistical software. The critical F-value will depend on the desired level of significance (0.05) and the degrees of freedom associated with the numerator and denominator of the F-test statistic.

If the computed F-test statistic is less than the critical F-value, we will reject the null hypothesis and conclude that there is evidence to support the claim that the amounts dispensed by the new machine have a smaller standard deviation.

Please note that the specific degrees of freedom for the F-distribution depend on the sample sizes used and can be calculated as (n₁ - 1) for the numerator and (n₀ - 1) for the denominator, where n₁ and n₀ are the sample sizes for the new machine and original machine, respectively.

Learn more about distribution here:

https://brainly.com/question/29664127

#SPJ11

Our initial assumption that m is odd and p is even is false, and m + p must be even. Hence, it is proved that m + p is even.

Suppose that m is an odd integer and p is an even integer. Then, their sum m + p is odd. In this case, it is required to find what kind of proof is used to determine that m  p is even.

The direct proof was used to find that m + p is even because it is a valid logical argument that establishes the truth of a proposition.

The method requires identifying the statements that are considered true (known as premises) and using them to establish the validity of the proposition being proven.

In this case, the proof uses the fact that m is odd and p is even to show that their sum is even.

Let's consider the definition of an even integer.

An integer is said to be even if it can be expressed in the form 2n, where n is an integer. Therefore, an even integer can be expressed as 2n and an odd integer can be expressed as 2n + 1.

The direct proof used to find that m + p is even is as follows: Suppose m is odd and p is even. Then, m can be expressed as m = 2k + 1 for some integer k, and p can be expressed as p = 2l for some integer l.

Therefore, their sum can be written as:m + p = (2k + 1) + 2l = 2k + 2l + 1 = 2(k + l) + 1

Since k and l are both integers, k + l is also an integer.

Thus, we can write the expression above as: m + p = 2(k + l) + 1

Since 2(k + l) is an even integer, and the sum of an even integer and an odd integer is always odd, we can conclude that m + p is odd. However, this contradicts the given statement that m + p is even.

Therefore, our initial assumption that m is odd and p is even is false, and m + p must be even.

Hence, it is proved that m + p is even.

For more such questions on assumption, click on:

https://brainly.com/question/29672185

#SPJ8

Answer:

Step-by-step explanation:

Testing if 6 is the solution:

6 is not a solution

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

Solving for x:

Answer:

x = 7

Step-by-step explanation:

The fraction of the whole circle denoting the sector is 23/72.

What is fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

The whole circle has an angle of = 360°.

The measure of the sector of the angle is =  115°.

The fractional value of the sector is -

Measure of Sector angle / Measure of whole circle angle

Substitute the value into the expression -

115/360

23/72

Therefore, the fraction is 23/72.

To learn more about fraction from the given link

https://brainly.com/question/20323470

#SPJ1

A sampling distribution is normal only if the population is normal. This  statement is false because A sampling distribution is normal only if n≥30.

If the underlying population is normally distributed, the sampling distribution (such as the sample mean distribution, also known as the xbar distribution) is also normally distributed. Even though the population is not normally distributed, the x(bar) distribution is approximately normal if n > 30, due to the central limit theorem. Some textbooks may use values ​​above 30, but after a certain threshold the x(bar) distribution is effectively "normal".

Option B is close, but misses the normal population part. n > 30 is not necessary if we know the population is normal.

A sampling distribution is the probability distribution of a statistic obtained from a large number of samples drawn from a particular population. The sampling distribution for a given population is the frequency distribution of a range of different outcomes that can occur in the population.

In statistics, a population is the entire basin from which a statistical sample is drawn. A population can refer to an entire population of people, objects, events, hospital visits, or measurements. Thus, a population can be said to be a global observation of subjects grouped by common characteristics.

Learn more about Population:

https://brainly.com/question/29117685

#SPJ4

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

Learn more about Scheduling here:

brainly.com/question/30012511

#SPJ4

Answer:60%

Step-by-step explanation:

90/150= 9/15 ÷ by 3 = 3/5=60%

Answer:

orge has not read 60% of the book.

Step-by-step explanation:

Percentage not read = (Pages not read / Total pages) * 100

Percentage not read = (90 / 150) * 100

Percentage not read = 0.6 * 100

Percentage not read = 60

Therefore, Jorge has not read 60% of the book.

I have to make this unnecessary long because yeah but the correct answer I believe is going to be the second one

Question :

Solution :

⇒ 3 [-x + 2x + 1] = x - 1

⇒ 3 [x + 1] = x - 1

⇒ 3 × [x + 1] = x - 1

⇒ 3x + 3 = x - 1

⇒ 3x - x + 3 = -1

⇒ 2x + 3 = -1

⇒ 2x = -1 - 3

⇒ 2x = -4

⇒ x = -4 / 2

⇒ x = -2

Simplifying

3[-1x + (2x + 1)] = x + -1

Reorder the terms:

Remove parentheses around (1 + 2x)

Reorder the terms:

Combine like terms: -1x + 2x = 1x

Reorder the terms:

Solving

Solving for the variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

Combine like terms: 3x + -1x = 2x

Combine like terms: x + -1x = 0

Add '-3' to each side of the equation.

3 + -3 + 2x = -1 + -3

Combine like terms: 3 + -3 = 0

Combine like terms: -1 + -3 = -4

Divide each side by '2'.

Simplifying

Answer:

the option C

Step-by-step explanation:

have a great day

Therefore, the expected value(using probability) of the scratch ticket that Dida bought is $1.15. This means that, on average, if Dida were to buy many such scratch tickets, she could expect to win an average of $1.15 per ticket over the long run.

It is built on the prospect of a coming event. One of the most important aspects of probability theory is the justification for probability. For instance, there is a theoretical one in two chance that a coin would land on its head.

The expected value of the scratch ticket is the sum of the products of each possible value and its corresponding probability.

Expected value = (0.00 * 0.15) + (0.50 * 0.50) + (1.00 * 0.20) + (2.00 * 0.10) + (10.00 * 0.05)

Expected value = 0.00 + 0.25 + 0.20 + 0.20 + 0.50

Expected value = 1.15

Therefore, the expected value of the scratch ticket that Dida bought is $1.15. This means that, on average, if Dida were to buy many such scratch tickets, she could expect to win an average of $1.15 per ticket over the long run.

To know more about probability visit:

brainly.com/question/30034780

#SPJ1

The equation that represents a line that is parallel to y = 5x - 4 and passes through the point (3, 4) is y = 5x - 11.

We are given that

Slope of parallel lines is the same, so slope of the line parallel to the given line will be m = 5

We have the slope and a point, using the point-slope form we can write the equation of the line:

\(\rightarrow\text{y} - 4 =5 \ (\text{x} - 3)\)

\(\rightarrow\text{y} = 5\text{x} - 15 + 4\)

\(\rightarrow\bold{y = 5x - 11}\)

Hence, the equation that represents a line that is parallel to y = 5x - 4 and passes through the point (3, 4) is y = 5x - 11.

To know more about point-slope form, visit:

https://brainly.com/question/28895991

Your question is incomplete. The complete question is-

Which of the following equations represents a line that is parallel to y = 5x - 4 and passes through the point (3, 4)?

A. y = 5x - 7

B. y = 5x + 19

C. y = -1/5x -4

D. y = 5x - 11

Answer:

24/34=12/17=.7058..................

Step-by-step explanation:

Answer:

115.395 min

Step-by-step explanation:

First we find the volume of 6 cm of water. We use the formula:

\(\pi *radius^2 *height\)

\(\pi *35^2*6 = 23,079 cm^3\)

1 L/min = 1000 cm^3 / min

0.2 L/min = 200 cm^3 /min

\(\frac{23,079}{200} = 115.395 min\)

The ratio of the number of students who joined the class to the number of students who were initially in the class is 2:1.

Age ratio refers to the comparison of the number of individuals in different age groups in a population. It is often expressed as a ratio or percentage of the number of people in a particular age group to the total population or the number of people in another age group.

Given by the question.

Now, when the group of students with an average age of 16 years joins the class, the average age of all the students becomes 17 years. This means that the total age of all the students in the class would now be 17 times the total number of students.

Let "y" be the number of students who joined the class. Then, the total number of students in the class after they joined would be x + y.

So, we have two equations:

18x = 17(x+y) (because the total age of all the students remains the same before and after the group joins)

16y = (x+y)*1 (because the average age of the new group is 16)

Simplifying the above equations, we get:

x = 17y

x = 34y

Equating both the equations, we get:

17y = 34y

y = 2

To learn more about age ratio:

https://brainly.com/question/29963980

#SPJ1

Answer:

Add and subtract digits in an alternating pattern (add digit, subtract next digit, add next digit, etc). Then see if that answer is divisible by 11.

For example, 121 is divisible by 11 because 1-2+1=0, and 0 is divisible by 11.

Categorical data is data that can be divided into different categories. Examples of categorical data include hair color, number of suitcases on a plane, tree height, and amount of rainfall.

Hair color would be classified as categorical data because it can be divided into categories such as black, brown, blonde, and red. Number of suitcases on a plane would also be classified as categorical data because the amount of suitcases can be divided into categories such as 0, 1, 2, 3, etc. Tree height would be classified as categorical data as it can be divided into categories such as small, medium, and large. Amount of rainfall would also be classified as categorical data as it can be divided into categories such as light rainfall, moderate rainfall, and heavy rainfall.

Learn more about  Total Amount here:

https://brainly.com/question/26082270

#SPJ4

The values of x that make the vectors (6, x, -11) and (5, x, x) orthogonal are x = 5 and x = 6.

To find all values of x such that (6, x, -11) and (5, x, x) are orthogonal, we will use the dot product of the two vectors. Two vectors are orthogonal if their dot product is zero.
2 vectors are called orthogonal if they are perpendicular to each other, and after performing the dot product analysis, the product they yield is zero.

In mathematical terms, the word orthogonal means directed at an angle of 90°. Two vectors u,v  are orthogonal if they are perpendicular, i.e., they form a right angle, or if the dot product they yield is zero.
1: Write down the two vectors.
Vector A = (6, x, -11)
Vector B = (5, x, x)
2: Calculate the dot product of the two vectors.
A · B = (6 * 5) + (x * x) + (-11 * x)
3: Set the dot product equal to zero, as the vectors are orthogonal.
30 + x^2 - 11x = 0
4: Rearrange the equation to solve for x.
x^2 - 11x + 30 = 0
5: Factor the quadratic equation.
(x - 5)(x - 6) = 0
6: Solve for x.
x = 5 or x = 6

Learn More About Vector's: https://brainly.com/question/3184914

#SPJ11

Answer: Slope = -7

Concept:

Here, we need to know the formula that helps to find the slope by two points.

The slope of a line is a number that describes both the direction and the steepness of the line.

Slope = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)

Solve:

Given information

(x₁, y₁) = (1, 4)

(x₂, y₂) = (0, 11)

Given expression

Slope = (y₂ - y₁) / (x₂ - x₁)

Substitute values into the expression

Slope = (11 - 4) / (0 - 1)

Simplify the values in the parentheses by subtraction

Slope = (7) / (-1)

Simplify by division

\(\boxed{Slope=-7}\)

Hope this helps!! :)

Please let me know if you have any questions