what is y-2=3(x-1) in slope intercept form?

a. y=3x-1
b. y=4
c. y=2x-20
d. 3x=2y

i’m thinking it’s A but i’m not sure?

The amount of hydrogen in 79.2 grams of water is 8.8 grams.

Given is that each gram of water contains 0.111 g of hydrogen.

1 gram of water contains 0.111 grams of hydrogen.

So, 79.2 grams of water will contain -

A{H₂} = 79.2 x 0.111 = 8.8 grams (approx.)

A{H₂} =  8.8 grams (approx.)

Therefore, the amount of hydrogen in 79.2 grams of water is 8.8 grams.

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Answer:

D

Step-by-step explanation:

I had this question on a quiz :)

The answer of the function found to be x = −4 and x = 2,  with M = 38.

We must consider the function,

f (x) = x³ + 6x² + 6

Over the interval  

-5 \(\leq\) x \(\leq\) 2

To obtain the extrema we start from the function's derivative.

f' (x) = 3x² + 12x

Equating it to 0,

f' (x) = 0 = 3x(x +4) = 0

We arrive at two solutions,

x1 = 0,     x2 = -4   both inside the interval.

Evaluating the function at the stationary points,

f (x1) = 6

f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38

These values must be compared to that of the function at the interval frontiers,

f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31

f (2) = 2³ + 6 . 2² + 6 = 38

Comparing the results we can conclude that the function attains its absolute minimum at,

x = 0,      m = 6

Meanwhile, the absolute maximum is attained at the points,

x = −4 and x = 2,  with M = 38.

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Answer:

99 and 33

Step-by-step explanation:

let x and y be the 2 numbers, with x being the larger of the 2, then

x + y = 132 → (1)

x - y = 66 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y) = 132 + 66

2x + 0 = 198

2x = 198 ( divide both sides by 2 )

x = 99

substitute x = 99 into (1) and solve for y

99 + y = 132 ( subtract 99 from both sides )

y = 33

the 2 numbers are 99 and 33

The given terminating decimal 0.66 can be expressed as the quotient of integers 33/50, which is already in its lowest terms.

To convert the decimal 0.66 into a fraction, we follow the given steps:

Step 1: Move the decimal point two places to the right to obtain the numerator:

0.66 = 66

Step 2: The denominator is 100 since we moved the decimal point two places to the right.

Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.

In this case, the greatest common divisor of 66 and 100 is 2:

66 ÷ 2 = 33

100 ÷ 2 = 50

Thus, the simplified fraction is 33/50, and it cannot be further reduced because 33 and 50 do not have any common factors other than 1.

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THE COMPLETE QUESTION IS:

Convert the given decimal number, 0.66, into a fraction with integers as the numerator and denominator. If possible, simplify the fraction to its lowest terms.

Answer:

42

Step-by-step explanation:

Given : -

f ( x ) = 4x^2 + 6

To find : -

f ( 3 ) = ?

f ( 3 ) = 4 ( 3 )^2 + 6

= 4 x 9 + 6

= 36 + 6

f ( 3 ) = 42

Answer: F(x)=43x3+6x+C

Step-by-step explanation:

Answer:

Step-by-step explanation:

dddfykb

In quantitative research, data collection from the same respondents at 2 or more points (waves) in time is referring to "longitudinal."

A method for gathering and interpreting numerical data is known as quantitative research. It can be used to discover patterns and averages, to make predictions, to verify causal linkages, and to generalize results to larger groups.

Some features regarding quantitative research are-

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Using the substitution method we know that the value of y in the given situation is 2 respectively.

The substitution method is typically used in mathematics to solve an equation system.

In this approach, you solve the equation for one variable first, then you enter its value into the other equation.

A false statement is produced if the variables x = 3 and y = 2 are substituted into the first equation: 2(2) = 3 + 9.

Try changing the first equation as x = 2y 8 to solve this system.

Next, change x in the second equation to 2y 8, and then solve for y.

The right response is x = 2, y = 3.

So, get the value of y as follows:

3x - 9y =8 ...(1)

-2x + 2y= 8 ...(2)

Now, take equation (1):

3x - 9y =8

3x = 8 + 9y

x = (8 + 9y)/3

Now, substitute x = (8 + 9y)/3 in equation (2):

-2x + 2y= 8

-2[(8 + 9y)/3] + 2y= 8
-2[(8 + 9y)] + 2y= 8*3
-16 + 18y + 2y = 24

20y = 24 + 16

20y = 40

y = 40/20

y = 2

Therefore, using the substitution method we know that the value of y in the given situation is 2 respectively.

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Answer:

There will be 180 mp3s defective

Step-by-step explanation:

Since out of 50, there are 4 defective, so you have to do 2,250 divided by 50, which is 45. Then multiply 45 by 4 to get 180

Answer(s):

\(\displaystyle y = -29sin\:(\frac{\pi}{6}x + \frac{\pi}{2}) + 44\frac{1}{2} \\ y = -29cos\:\frac{\pi}{6}x + 44\frac{1}{2}\)

Step-by-step explanation:

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 44\frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-3} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{6}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{12} \hookrightarrow \frac{2}{\frac{\pi}{6}}\pi \\ Amplitude \hookrightarrow 29\)

OR

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 44\frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{12} \hookrightarrow \frac{2}{\frac{\pi}{6}}\pi \\ Amplitude \hookrightarrow 29\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the centre photograph displays the trigonometric graph of \(\displaystyle y = -29sin\:\frac{\pi}{6}x + 44\frac{1}{2},\)in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [centre photograph] is shifted \(\displaystyle 3\:units\)to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD \(\displaystyle 3\:units,\)which means the C-term will be negative, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{3} = \frac{-\frac{\pi}{2}}{\frac{\pi}{6}}.\)So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = -29sin\:(\frac{\pi}{6}x + \frac{\pi}{2}) + 44\frac{1}{2}.\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit \(\displaystyle [12, 15\frac{1}{2}],\)from there to the y-intercept of \(\displaystyle [0, 15\frac{1}{2}],\)they are obviously \(\displaystyle 12\:units\)apart, telling you that the period of the graph is \(\displaystyle 12.\)Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 44\frac{1}{2},\)in which each crest is extended twenty-nine units beyond the midline, hence, your amplitude. Now, there is one more piese of information you should know -- the cosine graph in the photograph farthest to the right is the OPPOCITE of the cosine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

14d-10.50

Step-by-step explanation:

clear the brackets by putting an invisible one in front for example: (5)= 1 x 5, then simplify the like terms example: -5 + 1.05 = -3.95 ( it's a positive sign because the invisible one in front of the (1.05) is positive), then do the distributive law for example: 2( 7d - 3.95) is equal to 14d-10.50

66.67%.

Divide the two; 400/600. Then, multiply by 100 to get a percentage.

One of the ways to solve a system of equation is by using the substitution method

The values of x and y are -9 and 5

The equations are given as:

2x + 6y = 12

x + y = -4

Make x the subject in the second equation

x = -4 - y

Substitute x = -4 - y in the first equation

2(-4 - y) + 6y = 12

Expand

-8 - 2y + 6y = 12

Add 8 to both sides

- 2y + 6y = 20

So, we have:

4y =20

Divide through by 4

y = 5

Recall that:

x = -4 - y

So, we have:

x = -4 - 5

x = -9

Hence, the values of x and y are -9 and 5

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The total cost of the engagement ring is $10,975. The sales tax is calculated as follows: $10,000 x 0.0975 = $975.

A sales tax is a type of consumption tax that local or state governments apply on the sale of products or services that consumers pay for when they make a purchase. When a company has a link to the jurisdiction in some way, it is responsible for collecting sales tax and remitting payment to the government.

It is only imposed and paid when the taxable supply is produced while engaging in a "taxable activity". Taxes should be based on the value of the goods or service. Because of the way the sales tax is structured, consumers are required to bear the majority of the tax burden. Because sales tax is an indirect tax, this is true.

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The data suggests a direct relationship between force and distance in the spring experiment.

Based on the given data, as the force increases (4 N, 8 N, 12 N, 16 N, 20 N), the distance the spring stretches also increases (10.0 cm, 20.0 cm, 30.0 cm, 40.0 cm, 50.0 cm). This indicates a direct relationship between force and distance. In other words, as the force applied to the spring increases, the amount by which the spring stretches also increases.

To describe this relationship quantitatively, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement or stretch of the spring from its equilibrium position. Mathematically, Hooke's Law is expressed as F = k * x, where F is the force applied to the spring, k is the spring constant, and x is the displacement from the equilibrium position.

In the given data, the force (F) corresponds to the weight applied to the spring, and the distance (d) corresponds to the displacement. Therefore, the variation model that describes the relationship between force and distance in this experiment is F = k * d, where k represents the spring constant specific to the spring being used.

By analyzing the data and applying Hooke's Law, we can conclude that the force and distance have a direct relationship, and the variation model F = k * d represents this relationship.

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The ladder is 26ft far up to the wall if the bottom of a 10-foot ladder is 2 ft closer to the wall.

A unit of length is any arbitrarily defined and agreed reference standard for measuring length.

The measurement or extent of something from end to end is defined as its length. In other words, it is the larger of two or the highest of three geometrical shapes or objects' dimensions. A rectangle, for example, has length and width dimensions.

Distance on the ground = 10 feet

Length of the  ladder (hypotenuse) = x      

Height on the wall =  x-2

According to the  Pythagorean theorem of a right angle,

a²+b²=c²

100  + (x-2)²  =x²

100 + x² -4x + 4 =  x²      

100 -4x + 4 = 0              

104 - 4x = 0                  

-4x = -104              

x = 26ft

The ladder is 26ft far up to the wall.

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Answer:

10,000,000,:6

Step-by-step explanation:

I think

Answer:

10^7:6

Step-by-step explanation:

\(10000000 = {10}^{7} \)

Answer:

w = 49

Step-by-step explanation:

w - 39 = 10

=> w = 10 + 39

=> w = 49

Answer:

2 longer sides would be 4000 each, so that's 8000 total

and the 2 shorter sides could be 1000 each, so that's 2000 total

8000+2000=10,000

Step-by-step explanation:

sides

13 X 42 = 546 square foot there are four of these

546 X 4 = 2184 square foot.

triangles

A= 0.5 X b X h

0.5 X 13 X 12 = 78 square foot again there are four of these 78 X 4 = 312 square foot

2184 + 312 = 2496 square foot

2496/277 = 9.010

9 gallons of paint will need to be purchased.

Answer:

9 gallons

Step-by-step explanation:

Answer:

x=4 I'm sorry that I used

The null hypothesis and alternative hypothesis for the given data is equal to  H0: μ = 436 and Ha: μ ≠ 436.

Weight of the bag filled with machine works = 436 grams

The null hypotheses for the bag filled with machine work will be the statement of no effect

And it'll be the mean weight of the bag which is equal to 436grams.

Null hypothesis is equal to ,

H0: μ = 436

The alternative hypotheses for the above scenario representing that the bag isn't filled with 436grams.

They are either less filled or that is below 436grams or overfilled that is above 436grams.

Alternative hypothesis is equal to,

Ha: μ ≠ 436

Statistics is the study of surveys and research on numerical data.

Two different kinds of hypotheses.

A null hypothesis is one that holds true.

And an alternate hypothesis is another.

The null hypothesis is a default condition which represents there is nothing happening.

If there is no relationship between two given measured between groups.

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Answer:

8(a+2c)

Step-by-step explanation:

Answer:

C. 8(a + 2c)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the distance formula:

Answer:

40

Step-by-step explanation:

60-20=40

Bern has 60. Delhi has 20. Subtracting those =40

The number of phones sold is 15 and the number of accessories sold is 24, and the graph is attached below.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

Samir earns an $8 commission for every phone he sells and a $4 commission for every accessory he sells,

Total money earned = $216,

Total number of phones  and accessories sold = 39

Write the equation of the above statement as shown below,

8x + 4y = 216,

x + y = 39

Assume the number of phones sold is x and the number of accessories sold is y,

Solve the equation by elimination as shown below

x = 15,

y = 39 - 15 = 24

The graph is also attached below,

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Answer:

19

Step-by-step explanation:

Simplify the following:

35/5 + 3 (30 - 3^3 + 1)

The gcd of 35 and 5 is 5, so 35/5 = (5×7)/(5×1) = 5/5×7 = 7:

7 + 3 (30 - 3^3 + 1)

3^3 = 3×3^2:

7 + 3 (30 - 3×3^2 + 1)

3^2 = 9:

7 + 3 (30 - 3×9 + 1)

3×9 = 27:

7 + 3 (30 - 27 + 1)

30 + 1 = 31:

7 + 3 31 - 27

| 2 | 11

| 3 | 1

- | 2 | 7

| 0 | 4:

7 + 3×4

3×4 = 12:

7 + 12

7 + 12 = 19:

Answer: 19

Answer:

3(4−x)²

Step-by-step explanation:

Answer:

3(4-x)^2

Step-by-step explanation:

factor