please helpjjjjjjjjjjjjjjjj

Equation of the line that passes through the points in the table:

x=0,1,2,3

y=10,7,4,1

is y = -3x + 10

What is Equation of the Line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Key Concept. Y = mx + c is the equation for a straight line with a gradient of m and an intercept of c on the y-axis.

Since, The Equation of the line:

y = mx + b

where m is the slope

For finding slope passing through (0,10) and (1, 7)

m = (y2 - y1)/(x2 - x1)

m = (7 - 10) / (1 - 0)

m = -3/1

m = -3

Therefore, the slope of the line is −3.

Now use the slope and either of the two points to find the y-intercept.

y=mx+b

10 = (-3)(0) + b

10 = b

Write the equation in slope intercept form as:

y=mx+b

y = -3x + 10

Hence, the equation of the line is y = -3x + 10

Now, for other two points (2, 4) and (3, 1)

For finding slope passing through (2, 4) and (3, 1)

m = (y2 - y1)/(x2 - x1)

m = (1 - 4) / (3 - 2)

m = -3/1

m = -3

Therefore, the slope of the line is −3.

Now use the slope and either of the two points to find the y-intercept.

y=mx+b

4 = (-3)(2) + b

4 = -6 + b

4+6 = b

b = 10

Write the equation in slope intercept form as:

y=mx+b

y = -3x + 10

Hence, the equation of the line is y = -3x + 10

To learn more about Equation of the line click on the link

https://brainly.com/question/18831322

#SPJ13

Given:

The equations are:

a.) y = 2x + 7, b.) y = 3/5x + 1, c.) 3x + 2y = 6, d.) y = x^2

To determine what in the equation of part (d) makes its different, we first note that the graph for part (d) is a parabola, which is a curve with an upward opening. In addition, we also note that the power of x in the equation of part (d) is 2, while the other three graphs have a power of 1.

Therefore, the answer is:

The power of x in the equation of part (d) makes its graph different.

Given:

2(3x - 1)

Let's distrubute 2 to the terms in the parenthesis.

To distribute, use distributive property to distribute 2 to (3x - 1).

Thus, we have:

2(3x - 1)

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

= 6x + -2

= 6x - 2

ANSWER:

6x - 2

The workout plan A lasts 1 hour and 30 mins and the workout plans B last around 30 mins only, solved through elimination method.

The equations are either added or subtracted to create an equation in one variable when using the elimination method. When two variables' coefficients are in opposition to one another, you add the equations to eliminate that variable, and when they are equal, you subtract the equations to do the same.

Let the time taken for plan A be x

and the time taken for plan B be y

Then the equation forms

Wednesday = 5x + 3y = 9 hours

Thursday = 2x + 12y =  9 hours

Lets solve this with elimination method

5(2x + 12y = 9 hours)

-2(5x + 3y = 9 hours)

⇒ 10x + 60y = 45 hours    

  -(10x + 6y = 18 hours)

     0 + 54y = 27 hours

⇒ y = 27/54 hours

   y = 1/2 hours

   y = 30 mins

Substituting the value of y in 2x + 12y =  9 hours,

2x + 12(0.5)=  9 hours

2x + 6 = 9 hours

2x = 3 hours

x = 3/2 hours

x = 1 hour 30 mins

Thus, the workout plan A lasts 1 hour and 30 mins and the workout plans B last around 30 mins only.

Learn more about elimination method

https://brainly.com/question/28405823

#SPJ9

In the las t image you can see that when you multiply both sides of the inequality for ( - 1 ) the symbol less than or equal changes to greater than or equal

Looking at the graph of f(x), we can see that some values of y have two corresponding values of x.

Since the inverse function changes y with x and vice versa, there will be values of x that will have more than one corresponding value of y, this way it will not be a function.

In order to ensure that f(x) has an inverse function, we need a domain restriction that makes every value of y have only one corresponding value of x.

The domain restrictions that cause every value of y to have only one corresponding value of x are:

x >= -1

x <= -1

0 <= x <= 3

Therefore the correct options are the first, third and fourth options.

Answer:

H or 1 7/12

Step-by-step explanation:

because 1/3,3/4,1/2 can all multiply to get 12 as the denominator or 3x4=12
2x6=12 4x3=12 so _/12 then on 1/3 you multiplied 3x4 so you multiply 1x4 to get 4 so 4/12 then 3/4 x3=9/12 last 1/2 x 6=6/12




4/12+9/12+6/12=1 7/12

[tex] \frac{1}{3} + \frac{3}{4} + \frac{1}{2} [/tex]

Question above

[tex] \frac{4 + 9 + 6}{12} [/tex]

Transform the expression

[tex] \frac{19}{12} [/tex]

Answer

[tex]1 \frac{7}{12} [/tex]

Alternative form

Mark as brainliest answer.

Find the intercepts and domain and perform the symmetry test on each of the following hyperbola

9x² - 16y² = 144

Domain (-inf, -4] and [4, inf)

Symetry around y-axis

There is no y intercepts

X-intercepts at x = -4 and x = 4

Focus at (-4, 0) and (4, 0)

Answer:

d

Step-by-step explanation:

The number of years must be non-negative.

This eliminates all of the options except for d.

Answer:

The answer is -2.93333 or -44/15

Answer:

See below

Step-by-step explanation:

(1.6 )( 2 1/6 -4)

1.6 ( -1 5/6) =-2.93333    or -2  14/15

The value of the following composite function is as follows:

The composite functions can be solved as follows:

Therefore, the given function are:

f(x) = x² - x

g(x) = 3x + 9

Hence,

a.

(f + g)(-2) = f(-2) + g(-2)

f(-2) + g(-2) = (2)² - 2 + 3(-2) + 9

f(-2) + g(-2) = 4 - 2 - 6 + 9

f(-2) + g(-2) = 5

Therefore, the function (f + g)(-2) = 5

b.

(f - g)(-2) =  f(-2) - g(-2)

f(-2) - g(-2) = (2)² - 2 -  (3(-2) + 9)

f(-2) - g(-2) = 4 - 2 - 3

f(-2) - g(-2) = -5

Therefore, the function (f - g)(-2) = - 5

c.

(fg)(-2)= f(-2) × g(-2)

f(-2) × g(-2) = (-2)² - (-2) ×  3(-2) + 9

f(-2) × g(-2) = 4 + 2 × 3

f(-2) × g(-2) = 6 × 3

f(-2) × g(-2) = 18

Therefore, the function (fg)(-2) = 18

d.

(f/g)(-2) = f(-2) / g(-2)

f(-2) / g(-2) = -2² - -2 / 3(-2) + 9

f(-2) / g(-2) = 6 / 3

f(-2) / g(-2) = 2

Therefore, the function (f/g)(-2) = 2

learn more on function here: https://brainly.com/question/26295771

#SPJ1

Given:

Given that

Required: Convert to rectangular form.

Explanation:

The given equation in polar can be written as

Substitute

Then the equation becomes 3y - x = 5.

Solve for y.

Final Answer:

Answer:

Sydney should be 25 years old

Step-by-step explanation:

Answer:

Sydney is 38 years old.

Step-by-step explanation:

Devaughn is 46 years old, so 46 + 38 = 84.

Subtract 38 from 46.

46 - 38 = 8.

This concludes that Sydney is 38 years old.

Brainliest would mean a lot to me! Thanks!

Answer: x = 11

Step-by-step explanation:

       We can solve for x by isolating the variable with inverse operations.

    Given:

2(x - 5) + 7 = x + 8

    Distirbute:

2x - 10 + 7 = x + 8

    Combine like terms:

2x - 3 = x + 8

    Add 3 and subtract x from both sides of the equation:

x = 11

Answer:

17/12

1 5/12

Step-by-step explanation:

If we make the fractions have common denominators, this problem is a piece of cake.

First, since the closest multiple of 3 and 4 is 12, put 12 instead of the 3 and 4.

Since 3x4=12, multiply 2x4.

2x4=8.

So the first fraction would be 8/12

Next, since the 4 turned into a 12, multiply 3 by 3.

3x3=9

So the second fraction would be 9/12.

Now, add 9/12 and 8/12 together.

9/12+8/12=

17/12

1 5/12

Inverse operation

14 + (-14) =0

Answer:

The number is -14.

Step-by-step explanation:

Up to now, you've been working with whole numbers. These are the positive numbers, those numbers you usually count with your fingers (1, 2, 3, ...), and 0. You've been working with these numbers ever since elementary school, where you would do computation with them, like adding, subtracting, and multiplying them. And, on a number line, they go from left to right, starting at 0.

But what happens when you go to the left on the number line? That is, what's before 0? We actually find negative numbers. The normal numbers that we usually work with, that being the positive numbers, now look like this:

(-1, -2, -3, ...)

A good thing to come from this is that now, we can define an additive inverse. An additive inverse is the negative, or opposite, of a whole number. The sum of a number and its additive inverse is 0.

So, for example, the additive inverse of 1 is -1, and 1 + (-1) = 0.

So clearly, we can see that the additive inverse of 14 is -14, since

14 + (-14) = 0.

(In case you wanted to know, the additive inverse of 0 is 0 because 0 is neither negative nor positive. So, 0 + 0 = 0.)

The most appropriate choice for equation and linear equation will be given by-

c = 175 + 5m is the  equation for calculation of total cost (c) at the end of

the evening for a given number of miles (m).

For travelling 45 miles, total cost at the end of the evening is $400

What is equation and linear equation?

A statement that shows the equality between two mathematical expressions by connecting the two mathematical expression with an equal to (=)  sign is called equation.

A one degree equation is known as linear equation.

Here,

Let the number of miles be m

Fixed cost for renting a limo for prom = $175

For travelling one mile by limo, amount charged = $5

For travelling m miles by limo, amount charged = $5m

Total cost for renting a limo for pron = $(175 + 5m)

By the problem,

c = 175 + 5m

This is the equation for calculation of total cost (c) at the end of

the evening for a given number of miles (m).

Now,

Putting m = 45 in the above equation,

[tex]c = 175 + 5 \times 45\\c = 175 + 225[/tex]

[tex]c =[/tex] $[tex]400[/tex]

For travelling 45 miles, total cost at the end of the evening is $400

To learn more about equation and linear equation, refer to the link-

https://brainly.com/question/2030026

#SPJ9

GIVEN:

We are told that a school wants to estimate the number of students who drive to school.

Required:

To determine which survey would best represent the entire student population..

Step-by-sep solution;

Taking a sample of 11th graders would not correctly represent the entire student population. The result from this survey would at best represent the preference of 11th grade students and not other grades. The same thing applies to a survey of the science club. The science club cannot accurately represent all students (including other clubs).

However, a survey of 25 students from the school would best represent the entire student population since there is a probability of every category of student being represented.

Therefore,

25 students are randomly selected from the school; 4 drive to school.

Part (B):

There are 1750 students at Lincoln High. Use the answer above to estimate the number of students who drive to school.

If the sample of 25 students has 4 students who drive to school, then to estimate the entire population based on this;

Therefore, we now have;

ANSWER:

The solutions are x = -1 and y = 3 of the given system of equations 2x+y=1, −3x+4y=15 which is determined by Cramer's rule.

We put the tiles in the right order and entered the final result for each x and y.

The main principle is to split determinants as shown by the vertical bars (these are not absolute value bars).

The determinant of the matrix [tex]\begin{bmatrix}2 & 1 \\-3 & 4 \\\end{bmatrix}[/tex], which are the coefficients of the left-hand side of each original equation supplied to you, is in each denominator.

This matrix's numerators are somewhat different. The x determinant requires you to replace the first column with 1 and 15 to produce [tex]\begin{bmatrix}1 & 1 \\15 & 4 \\\end{bmatrix}[/tex], which aids in determining the x solution. The y solution is similar, except we replace the y column rather than the x column. This explains the [tex]\begin{bmatrix}2 & 1 \\-3 & 15 \\\end{bmatrix}[/tex].

You just evaluate each determinant using the formula once you have the right determinants in place and then simplify the outcomes.

Thus, the solutions are x = -1 and y = 3 of the given system of equations 2x+y=1, −3x+4y=15 which is determined by Cramer's rule.

Learn about Cramer's rule here:

https://brainly.com/question/18260312

#SPJ1

Answer:

In 3 decimal places (if you prefer):

Step-by-step explanation:

mark up rate = gross profit/ cost (expressed as a percentage)

gross profit   = sale price - cost

mark up rate  = (69-45)/45 *100

                        =24/45 * 100

Answer:

53.33%

Step-by-step explanation:

Hello!

First, let's find out how much the cost went up:

The cost went up by 24 dollars. To find the markup, we have to see what percentage of 45 is 24.

The markup is 53.33 percent.

Factor the expression.

So answer is,

Answer:

28th 5577e535r5ytt

Step-by-step explanation:

so h just Aliquippa well all am to PIZ well keep.

Answer:

d

Step-by-step explanation:

The number of years must be non-negative.

This eliminates all of the options except for d.

There is 30 ‘g’s in the club by using proportions.

Mathematically compare two numbers by comparing them proportionally. In terms of proportion, two sets of given numbers are said to rise or decrease in the same ratio if they are directly proportionate to one another.

Two ratios are said to be in proportion when they are the same. For instance, a train needs to cover 250 kilometers in 5 hours if it is moving at a speed of 50 kilometers per hour. 250 km/5 hours at 50 km/h, for instance.

Given, for 5 ‘g’ there are 4 ‘b’

There are 24 ‘b’ in drama club,

g = 24/4×5

g=30

To know more about proportion, visit:

https://brainly.com/question/1496357

#SPJ9

In one cup of milk there is 1.5 tablespoons of cocoa and one tablespoon of cocoa is mixed in 0.67 cups of milk.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the value of single unit according to the needs.

Given is Han who made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa.

There are 6 tablespoons of cocoa in 4 cups of milk.

Then, in one cup of milk there will be (6/4) tablespoons of cocoa or 1.5 tablespoons of cocoa.

Similarly, 6 tablespoons of cocoa are mixed in 4 cups of milk.

1 tablespoon of cocoa will be mixed in (4/6) cups of milk or 0.67 cups of milk.

So, in one cup of milk there is 1.5 tablespoons of cocoa and one tablespoon of cocoa is mixed in 0.67 cups of milk.

Therefore, in one cup of milk there is 1.5 tablespoons of cocoa and one tablespoon of cocoa is mixed in 0.67 cups of milk.

To solve more questions on unitary method, visit the link below-

https://brainly.com/question/13326898

#SPJ1

Using the properties of alternate angles, the value of x = 8 and ∠ A = 30

A transversal that crosses two parallel lines produces alternate exterior angles. They form two pairs (four total angles) of alternate outside angles since they are situated "outside" the two parallel lines but on different sides of the transversal.

For the given question,

∠A=6x−18

∠B=14x+38

As, both parallel lines are intersected by a transversal,

the value of angle ∠A and ∠180 - B is same as they are alternate angles,

⇒ 6x−18 = 180 - 14x - 38

⇒ 6x + 14x = 142 + 18

⇒ 20x = 160

⇒ x = 8

∠A = 6x−18

⇒ ∠ A = 30

To learn more abut alternate angles from given link

https://brainly.com/question/26167358

#SPJ13

Correct question -

The probability that among 4 randomly selected Internet​ users, at least one is more careful is 0.988.

Because of the bias toward convenience when retrieving the sample, the outcome might be higher. because respondents to the survey were chosen voluntarily, not at random.

Calculating the likelihood of an event occurring, which is represented as a number between 1 and 0, is the subject of the mathematical branch known as probability. A coin toss, for instance, has a probability of 1 because, assuming the coin lands flat, there are only two possible outcomes: "heads" or "tails."

This means that any event with this probability is guaranteed to occur. For instance, a coin toss has an equal chance of coming up "heads" or "tails," so an event with a probability of.5 can be regarded as having equal odds of happening or not happening.

According to the poll, 67​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot.

Which means the probability of more careful is 0.67

And probability of not careful is: 1-0.67 = 0.33

We have selected four random Internet​ users and we need to find the probability that at least one is more careful about personal information.

P(At least one careful) = 1 - P(None of them careful)

P(At least one careful) = 1 - (0.33×0.33×0.33×0.33)

P(At least one careful) = 1 - 0.012

P(At least one careful) = 0.988

Learn more about probability

https://brainly.com/question/25870256

#SPJ9