Rite and equation in slope-intercept form of the line that passes through (6,-2) and (12,1)

Answer:

B~48

Step-by-step explanation:

I think its 48....let me know if right or wrong sorry if wrong..

Answer:

f(- 10) = 74

Step-by-step explanation:

To find f(- 10) , substitute n = - 10 into f(n) , that is

f(- 10) = - 7(- 10) + 4 = 70 + 4 = 74

Hello there!

We are given a function below:

\( \displaystyle \large{f(n) = - 7n + 4}\)

To find f(-10), substitute n = -10.

\( \displaystyle \large{f( - 10) = - 7( - 10) + 4}\)

Evaluate the f(-10)

\( \displaystyle \large{f( - 10) = 70 + 4}\)

Recall

Therefore,

\( \displaystyle \large{f( - 10) = 74}\)

f(-10) = 74

Let me know if you have any questions!

Topic: Functions

To find the roots of the equation and determine the value of k, we can use the fact that if one root exceeds the other by 2, the roots must be of the form (x - r) and (x - (r + 2)), where r is a real number.

Let's assume that the roots of the equation are (x - r) and (x - (r + 2)), where r is a real number. According to the given information, one root exceeds the other by 2, which means the second root is 2 more than the first root.

Expanding the equation, we get:\(x^2 - (2r + 2)x + (r(r + 2)) = 0.\)

Comparing this equation to the original equation (X^2 - 4x + k = 0), we can determine that k = r(r + 2).

To find the roots, we set the equation equal to zero and solve for x: x^2 - (2r + 2)x + (r(r + 2)) = 0.

Using the quadratic formula, x =\((-b ± √(b^2 - 4ac)) / (2a),\)where a = 1, b = -(2r + 2), and c = r(r + 2).

Simplifying the formula, we get: x =\((2r + 2 ± √((2r + 2)^2 - 4r(r + 2))) / 2.\)

Further simplifying, we get: x = \((2r + 2 ± √(4r^2 + 8r + 4 - 4r^2 - 8r)) / 2.\)

Simplifying the expression inside the square root, we have: x = (2r + 2 ± √(4)) / 2.

Therefore, the roots of the equation are x = r + 1 and x = r + 1.

From this, we can see that both roots are the same, indicating that the equation has only one root.

To determine the value of k, we substitute the roots into the original equation: \((r + 1)^2 - 4(r + 1) + k = 0.\)

Expanding and simplifying the equation, we get: \(r^2 + 2r + 1 - 4r - 4 + k = 0.\)

Combining like terms, we have:\(r^2 - 2r - 3 + k = 0.\)

Since we know that the equation has only one root, it means that the discriminant \((b^2 - 4ac)\)in the quadratic formula must be zero.

Therefore,\((2r + 2)^2 - 4r(r + 2) = 0.\)

Expanding and simplifying the equation, we get: \(4r^2 + 8r + 4 - 4r^2 - 8r = 0.\)

Simplifying further, we have: 4 = 0.

Since 4 is not equal to zero, there is no real value of r that satisfies this equation.

Hence, there is no solution for the equation \(X^2 - 4x + k = 0\), and we cannot determine the value of k.

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A

64 :) i think

Step-by-step explanation:

The cost of ordering 22 solder-less lugs at the list price less 35% will be $101.20.

Solder-less lugs are priced at $4.25 each, including a 40% discount when purchased in standard packages of 100. To find the original price without the discount, we'll first calculate the price before the 40% discount:

$4.25 / (1 - 0.40) = $4.25 / 0.60 = $7.08 (rounded to 2 decimal places)

Now, if you only need 22 solder-less lugs and are eligible for a 35% discount, we'll calculate the discounted price for each lug:

$7.08 * (1 - 0.35) = $7.08 * 0.65 = $4.60 (rounded to 2 decimal places)

Finally, to find the total cost for 22 solder-less lugs with a 35% discount, we'll multiply the discounted price by the quantity ordered:

$4.60 * 22 = $101.20

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Answer:

the answer is d

Step-by-step explanation:

7*y^-2*2y^4

D. 14y^2

Step-by-step explanation:

please mark brainliest :)

Answer:

Refer to the attachment !!

#Hope it helps !!

Answer:

Yes.

because 2:3 =0.666...

Step-by-step explanation:

Answer:

yes i agree

Step-by-step explanation:

i agree because 0.66 is 2/3 of 1 if you take 1 and divide it by 3 you get 0.33 which would be 1/3 so 2/3 would be 0.66

Answer:

A) 8cm

Step-by-step explaination:

TR = 4 + x

Also,

TR = 8 + (2x - 16)

Therefore,

4 + x = 8 + 2x - 16

4 + x = (8 - 16) + 2x

4 + x = -8 + 2x

4 + 8 = 2x - x

12 = x

SR = 2x - 16

= 2(12) - 16

= 24 - 16

= 8

Answer:

12/37

Step-by-step explanation:

SOH - CAH - TOA

O = opposite

A = adjacent

H = hypotenuse

Sin = O/H

Sin N = 12/37

Answer:Find sin N

sinN=

hypotenuse/opposite

​12/37

Step-by-step explanation:

It has been shown that \(3P_{n} =T_{3n-1}\), \(3P_{n} =T_{3n-1}\) and hence \(3P_{n} =T_{3n-1}\).

Given: \(T_{n}\) is the nth triangular number. \(Q_{n}\) is the nth square number. \(P_{n}\) is the nth pentagonal number.

To show:

Triangular numbers are numbers formed by addition of consecutive natural numbers starting from 1. Square numbers are numbers formed by squaring natural numbers. Pentagonal numbers are numbers formed by distinct dots in a pattern of dots consisting of the outlines of regular pentagons with sides up to n dots, when the pentagons are overlaid so that they share one vertex.

The formula for each of them is given by:

\(T_{n}=\frac{n(n+1)}{2}\)

\(Q_{n}=n^{2}\)

\(P_{n}=\frac{3n^{2}-n}{2}\)

(a).

Now, put \(n=3n-1\) in \(T_{n}=\frac{n(n+1)}{2}\) to get,

\(T_{3n-1}=\frac{(3n-1)(3n)}{2}\)

\(T_{3n-1}=3\frac{n(3n-1)}{2}\)

\(T_{3n-1}=3\frac{3n^{2}-n}{2}\)

Put \(P_{n}=\frac{3n^{2}-n}{2}\) in \(T_{3n-1}=3\frac{3n^{2}-n}{2}\) to get,

\(T_{3n-1}=3P_{n}\)

So, \(3P_{n}=T_{3n-1}\)

(b).

Now,

\(P_{n}-Q_{n}=\frac{3n^{2}-n}{2}-n^{2}\)

\(P_{n}-Q_{n}=\frac{3n^{2}-n-2n^{2}}{2}\)

\(P_{n}-Q_{n}=\frac{n^{2}-n}{2}\)

Put \(n=n-1\) in \(T_{n}=\frac{n(n+1)}{2}\) to get,

\(T_{n-1}=\frac{(n-1)(n-1+1)}{2}\)

\(T_{n-1}=\frac{(n-1)n}{2}\)

\(T_{n-1}=\frac{n^{2}-n}{2}\)

Comparing \(P_{n}-Q_{n}=\frac{n^{2}-n}{2}\) and \(T_{n-1}=\frac{n^{2}-n}{2}\), we get,

\(P_{n}-Q_{n}=T_{n-1}\)

Now, put \(n=3n\) in \(P_{n}-Q_{n}=T_{n-1}\) to get,

\(P_{3n}-Q_{3n}=T_{3n-1}\)

As shown in part (a), \(T_{3n-1}=3P_{n}\)

Put \(T_{3n-1}=3P_{n}\) in \(P_{3n}-Q_{3n}=T_{3n-1}\) to get,

\(P_{3n}-Q_{3n}=3P_{n}\)

\(P_{3n}-3P_{n}=Q_{3n}\)

So, \(P_{n}-Q_{n}=T_{n-1}\) and hence \(P_{3n}-3P_{n}=Q_{3n}\)

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Answer:

ad =4

Step-by-step explanation:

Answer:

the answer is the side length of ab and db

Answer: D on edge

Step-by-step explanation:

A scientific hypothesis is a proposed explanation or prediction based on limited evidence or prior knowledge, which is subject to further investigation and testing.

A guess is a speculative, unsupported statement without any logical basis, whereas a hypothesis is an educated assumption derived from existing knowledge, observations, or theories. Unlike a guess, a hypothesis is testable and can be supported or refuted by evidence gathered through scientific methods.

Scientists need a hypothesis to provide a framework for their research and guide their investigations. It helps them define the specific question they want to answer and provides a starting point for designing experiments or making observations. By formulating a hypothesis, scientists can systematically evaluate and analyze data, ultimately leading to a deeper understanding of the phenomenon under investigation.

There are indeed scientific hypotheses that cannot be directly tested or proven due to practical or ethical constraints. For example, hypotheses related to historical events that occurred in the distant past may not have accessible evidence for direct testing. Additionally, some questions related to consciousness, subjective experiences, or philosophical concepts may lie beyond the scope of scientific inquiry, as they may not be objectively measurable or observable.

While science has its limitations, it is a powerful tool for investigating and understanding the natural world. However, there are questions that fall outside the realm of scientific inquiry and require other methods of investigation, such as philosophical or ethical considerations.

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Answer:

e < 6         n > 4           w > 2

Step-by-step explanation:

e/2 < 3

e < 6

n - 1 > 3

n > 4

5 < 3 + w

w > 2

Answer:

bts

Step-by-step explanation:

BTSSS SSSSSSSTU6T

Answer:

3) 12 yd^2

4) 27.5 m^2

5) 48 ft^2

6) 96 m^2

Step-by-step explanation:

3) 4(2x3x0.5) = 12 yd^2

4) (9x5)-(0.5)(7x5) = 27.5 m^2

5) (10x6)-(6x2) = 48 ft^2

6) 12x8 = 96 m^2

(b) There are two Nash equilibria in this game:(S, S): Both A and B choose to Stop. Neither player has an incentive to deviate as they both receive a payoff of 0, and any deviation would result in a lower payoff.

(C, C): Both A and B choose to Continue. Similarly, neither player has an incentive to deviate since they both receive a payoff of -1, and any deviation would result in a lower payoff. (c) There is no dominant strategy in this game. A dominant strategy is a strategy that yields a higher payoff regardless of the actions taken by the other player. In this case, both players' payoffs depend on the actions of both players, so there is no dominant strategy. (d) The Subgame Perfect Nash equilibria (SPNE) can be found by considering the game as a sequential game and analyzing each subgame individually.

In this game, there is only one subgame, which is the entire game itself. Both players move simultaneously, so there are no further subgames to consider. Therefore, the Nash equilibria identified in part (b) [(S, S) and (C, C)] are also the Subgame Perfect Nash equilibria of this game.

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Answer:

6(5 x 5) + 6(3 x 3) - 2( 3 x 3)

Step-by-step explanation:

Each side of the bigger cube is 5 x 5 and there's 6 sides 6(5 x 5)

Each side of the smaller cube is 3 x 3 and there's 6 sides 6(3 x 3)

We need to deduct the overlapping space which is equivalent is 3 x 3 and we calculated it twice so 2(3 x 3)

Step-by-step explanation:

1)Take the time he is traveling divided by the speed to get the time.

2)Subract the time you have got from the average time,then subtract the average distance from the traveling distance,then divide the two to get the speed.

3)Take the total distance, divide it by the total time to get the average speed.

Answer:

proportional i think but let me check my textbook i might have that there

Step-by-step explanation:

A runner will have to run approximately 1 mile before seeing both a water station and trail marker at the same location.

To calculate the approximate number of miles a runner will have to run before seeing both a water station and trail marker at the same location, we need to find the least common multiple (LCM) of the distances between the two locations.

Let's assume the distance between the water station and trail marker is in yards.

To find the LCM, we need to consider the common factors and the greatest power of each factor.

The distances between the water station and trail marker can be written as:

Distance 1 = 1 mile = 1 * 1,760 yards = 1,760 yards

Distance 2 = 1 trail marker = 1 yard

The LCM of 1,760 yards and 1 yard is simply 1,760 yards.

To convert this distance to miles, we divide the LCM by the conversion factor of 1,760 yards per mile:

1,760 yards ÷ 1,760 yards/mile = 1 mile

Therefore, a runner will have to run approximately 1 mile before seeing both a water station and trail marker at the same location.

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Answer:

152 x 10 =1520

1520/32 = 46.06

1520 x 33 = 50,160

1520-33 = 1487

Answer:

0.013

Step-by-step explanation:

20 hundredths = 0.2

65 thousandths = 0.065

0.2 × 0.065 = 0.013

The image of the point (3,4)(3,4) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin is (-3,4).

A point's reflection

The mirror's "reflection" of the specified point P causes it to appear at an equal distance away on the other side of the line. To view this, move the point P. According to tradition, the "image" of point P is the reflection of point P across the line, which is designated by the term P' (pronounced "P prime").

As the rotation is counterclockwise around the origin,

the coordinates of the image will be - (-3,4)

The graph is attached at the end of the solution.

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Answer:

-4, 3

Step-by-step explanation:

The area of the rectangle is changing at a rate of 18 cm²/min at the instant when the other side is 13 cm and increasing at 3 cm per minute.

To solve this problem, we need to use the formula for the area of a rectangle, which is A = lw, where l is the length and w is the width.

We know that one side of the rectangle is 6 cm, so we can call that the width (w). The other side is increasing at a rate of 3 cm per minute, so we can call that the length (l) and represent it as l(t) = 13 + 3t, where t is the time in minutes.

To find how fast the area (A) of the rectangle is changing, we need to take the derivative of the area formula with respect to time:

dA/dt = d/dt (lw)
dA/dt = w dl/dt + l dw/dt

Now we just need to plug in the values we know:

w = 6 cm
l = 13 + 3t cm
dw/dt = 0 (since the width is not changing)
dl/dt = 3 cm/min (since the length is increasing at a rate of 3 cm per minute)

dA/dt = 6(3) + (13 + 3t)(0)
dA/dt = 18 cm^2/min

So the area of the rectangle is increasing at a rate of 18 cm^2 per minute when the width is 6 cm and the length is increasing at a rate of 3 cm per minute to reach 13 cm.

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A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.

Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."

Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.

Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05

False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'

Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis

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Jerry's cost of going to college is $29,000.

Jerry's cost of going to college is $29,000. The cost of going to college is a major concern for many students. As a result, making a sound financial plan is essential when considering post-secondary education. It is important to weigh the costs of going to college against the benefits of obtaining a degree. Jerry has to make a choice between going to college or working in a store. If he chooses to go to college, he will have to spend $15,000 on tuition, $12,000 on room and board, and $2,000 on books. Therefore, his total cost of attending college is

$29,000 ($15,000 + $12,000 + $2,000).

If he decides not to go to college, Jerry will earn $27,000 by working in a store and spend $10,000 on room and board. By adding up his earnings and expenses, he will have a total of

$17,000 ($27,000 - $10,000)

In this case, it is less expensive for Jerry not to go to college. He will have $12,000 more in his pocket ($17,000 - $29,000) if he does not go to college. Therefore, Jerry's cost of going to college is $29,000.

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