a line l1 passes through the point (3,3) and (5,7) find the equation of l1 in form of y=mx+c

The total materials cost before sales tax is $297.21.

The total materials cost is the result of the addition of the total cost of posts, wire mesh, gate, and staples, as follows.

The length of the rectangular space = 6 meters

The width of the space = 10.5 meters'

The perimeter of the space = 33 meters [2(6 + 10.5)]

The space between posts = 1.5 meters

The number of posts = 22 (33 ÷ 1.5)

The cost per post = $2.69

a) The cost of the posts = $59.18 ($2.69 x 22)

The cost of wire mesh:

Cost per meter = $5.96

The number of meters of wire mesh = 33 meters

b) Total cost of the wire mesh = $196.68 ($5.96 x 33)

c) Cost of the gate = $25.39

Cost of Staples:

The number of staples per post = 7

The total number of staples required = 154 (22 x 7)

The number of boxes of staples = 4

The cost per box = $3.99

d) The total cost of staples = $15.96 (4 x $3.99)

The total cost of materials = $297.21 ($59.18 + $196.68 + $25.39 + $15.96)

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Answer:

y=-f(x) is a reflection over the x axis of y=f(x) this will make the graph like this down below.

Step-by-step explanation:

If this helps please mark as brainliest

Answer:

False

Step-by-step explanation:

AB is equal to DE not DF

AC is equal to DF not EF

Answer:

They often have more than one solution.

Answer:

Step-by-step explanation:

Quadratic equations are equations that when rearranged using the 5 operations can yield a polynomial of degree 2 on one side of the equation and 0 on the other. There are 3 commonly taught methods for solving quadratic equations. These methods are factoring, completing the square, and the quadratic formula. These functions are most commonly used to model projectiles, disregarding air resistance.

When using the factoring method one attempts to write a degree 2 polynomial as the product of two degree 1 polynomials. This method works because if we multiply two degree one polynomials together we find  

For example: When factoring , we want to find two number a, b whose product is 6 and sum to 5. The values of a and b we are looking for are 2 and 3.

The method of completing the square centers around using the five operations to replace the original equation with an equivalent equation of the form  by taking advantage of the fact that

The absolute value function takes the value of a number, regardless of whether it is positive or negative. Some problems that the absolute value is useful for modeling include an object bouncing on the ground.

For example, , since we do not care about the negative sign.

Example: Solve  

Solution: Since the absolute value does not care about whether a number is positive or negative, if  then  or . Then we can solve each equation individually to find that x = 1 or 5.

Answer:

The y-intercept is 6

Step-by-step explanation:

The y-intercept of a function is where the graph of an equation touches or crosses the vertical axis. This is usually the value of y when x = 0.

For this particular function, when x = 0 ⇒

f(0) = 0^2 + 4(0) + 6

= 0 + 0 + 6

= 6

Therefore, the y-intercept of this function is 6

Answer:

6

Step-by-step explanation:

the y-intercept is the last number of the equation

so because 6 is the last number, the y-intercept is 6

Answer:

Below(R 230000)

Step-by-step explanation:

14,000(1+10x+5/100)=21,000

but after 60 months 10 percent intrest so

23,000.

Answer:

Below(R 230000)

Step-by-step explanation:

14,000(1+10x+5/100)=21,000

but after 60 months 10 percent intrest so

23,000.

Answer:

90 degrees in clockwise direction on a graph? Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M' (k, -h).

Step-by-step explanation:

Answer:x − x^{2} − 1.

Step-by-step explanation:

.

Let's start with a basic function, denoted as f(x), and apply the given transformations step by step.

1. Shifting left 1 unit:
To shift the graph 1 unit to the left, we replace x with (x + 1). Therefore, the function becomes f(x + 1).

2. Vertically stretching by a factor of 6:
To vertically stretch the graph by a factor of 6, we multiply the function by 6. The function now becomes 6 * f(x + 1).

3. Shifting up 2 units:
To shift the graph up 2 units, we add 2 to the function. The final formula is:
f(x) = 6 * f(x + 1) + 2.

So, the formula for the function, after applying the given transformations, is 6 * f(x + 1) + 2.

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Answer: Explanation

Step-by-step explanation:

For #1 first we have to convert all of the fractions to have the same denominator by finding the LCM(Least Common Multiple), which is 60. 1/4=15/60, 1/5=12/60, and 1/3=20/60. Then you add them up and get 47/60. You take that fraction and multiply it by 850 to get about 665.83, which is the estimate.

As for #2, I don't know sorry, I think you can just draw different lengthed lines to show the different distances traveled.

For #3 its 850/9 which is about 94.44

#4 I would recommend stopping through the night because they have about 184 miles to go and since they would only complete about 94 of those miles and would still have to drive tomorrow, they might as well do it all tomorrow.

Answer:

4/5 inches of snow per hour

Step-by-step explanation:

let 's' = snow

5 hrs / 4 inches = 1 hr / s

cross-multiply to get:

5s = 4

s = 4/5

4/5 inches of snow per hour

Answer:

132.25

Step-by-step explanation:

Answer:

m = 7/2              y = 7/2x + b

Step-by-step explanation:

Answer:

The inverse of f(x) is \(f^{-1}\)(x) =  ± \(\sqrt{\frac{x+\frac{11}{4}}{3}}\) + \(\frac{1}{2}\)

Step-by-step explanation:

To find the inverse of the quadratic function f(x) = ax² + bx + c, you should put it in the vertex form f(x) = a(x - h)² + k, where

∵ f(x) = 3x² - 3x - 2

→ Compare it with the 1st form above to find a and b

∴ a = 3 and b = -3

→ Use the rule of h to find it

∵ h = \(\frac{-(-3)}{2(3)}\) = \(\frac{3}{6}\) = \(\frac{1}{2}\)

∴ h =  \(\frac{1}{2}\)

→ Substitute x by the value of h in f to find k

∵ k = 3( \(\frac{1}{2}\))² - 3( \(\frac{1}{2}\)) - 2

∴ k = \(-\frac{11}{4}\)

→ Substitute the values of a, h, and k in the vertex form above

∵ f(x) = 3(x -  \(\frac{1}{2}\))² + \(-\frac{11}{4}\)

∴ f(x) = 3(x -  \(\frac{1}{2}\))² - \(\frac{11}{4}\)

Now let us find the inverse of f(x)

∵ f(x) = y

∴ y = 3(x -  \(\frac{1}{2}\))² - \(\frac{11}{4}\)

→ Switch x and y

∵ x = 3(y -  \(\frac{1}{2}\))² - \(\frac{11}{4}\)

→ Add \(\frac{11}{4}\) to both sides

∴ x + \(\frac{11}{4}\) = 3(y - \(\frac{1}{2}\))²

→ Divide both sides by 3

∵ \(\frac{x+\frac{11}{4}}{3}\) = (y - \(\frac{1}{2}\))²

→ Take √ for both sides

∴ ± \(\sqrt{\frac{x+\frac{11}{4}}{3}}\) = y - \(\frac{1}{2}\)

→ Add  \(\frac{1}{2}\) to both sides

∴ ± \(\sqrt{\frac{x+\frac{11}{4}}{3}}\) + \(\frac{1}{2}\) = y

→ Replace y by \(f^{-1}\)(x)

∴ \(f^{-1}\)(x) =  ± \(\sqrt{\frac{x+\frac{11}{4}}{3}}\) + \(\frac{1}{2}\)

∴ The inverse of f(x) is \(f^{-1}\)(x) =  ± \(\sqrt{\frac{x+\frac{11}{4}}{3}}\) + \(\frac{1}{2}\)

Answer:

-1.2

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

hope it helps have a good day/night :)

Answer:

Alternate Exterior Angles

Step-by-step explanation:

The alternate exterior angle theorem is when two different lines are corssed by a transversal. Essentially alternate exterior angles are when two different angles are on opposite sides of the transversal. In the given photo, 6 and 12 are on opposite sides of one transversal which makes them alternate exterior angles.

Best of Luck!

Answer:

  with respect to transversal l, angles 6 and 12 are "alternate interior" angles

Step-by-step explanation:

Angles 6 and 12 are at different intersections. The line joining those intersections is line l.

The transversal is l.

__

With respect to that transversal, angle 6 is between lines m and n crossing that transversal. Likewise for angle 12. Since both are "inside" angles, they are "interior."

Angles 6 and 12 are on opposite sides of the transversal l, so are "alternate" angles.

Angles 6 and 12 are "alternate interior" angles.

Answer: 1. -8, 2. 12, 3.-4 , 4.-7 , 5.3 , 6.15 , 7. 1, 8. 12, 9. -15, 10.318 ,

Step-by-step explanation:

The centre line of a control chart is calculated by computing the average (mean) of the data for every period.

In control chart analysis, the centre line represents the central tendency or average value of the process being monitored. It is typically obtained by calculating the mean of the data points collected over a specific period. The purpose of the centre line is to provide a reference point against which the process performance can be compared. Any data points falling within acceptable limits around the centre line indicate that the process is stable and under control.

The calculation of the centre line involves summing up the values of the data points and dividing it by the number of data points. This average is then plotted on the control chart as the centre line. By monitoring subsequent data points and their distance from the centre line, deviations and trends in the process can be identified. Deviations beyond the control limits may indicate special causes of variation that require investigation and corrective action. Therefore, the centre line is a critical element in control chart analysis for understanding the baseline performance of a process and detecting any shifts or changes over time.

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Answer:

(-1,-8)

Step-by-step explanation:

The experimental probability of rolling a 2 is 1/90 based on the given theoretical information.

Based on the given information, Jamie rolled a 6-sided die 30 times and found that the experimental probability of rolling a 2 was 1/15 the theoretical probability.

To calculate the theoretical probability, we divide the number of favorable outcomes (rolling a 2) by the total number of possible outcomes (rolling a 6-sided die).

The theoretical probability of rolling a 2 on a 6-sided die is 1/6.

To find the experimental probability, we divide the number of times the event occurred (rolling a 2) by the total number of trials (30 rolls).

Let's call the experimental probability of rolling a 2 "p". We know that p is equal to 1/15 times 1/6.

Simplifying this expression, we find that p is equal to 1/90.

Therefore, the experimental probability of rolling a 2 is 1/90.

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The 3rd one: "Converse of the Same-Side Interior Angles Postulate"

Is that all the information given? Does it say how much does each individual stamp cost?

Answer:

72r^3t^4

Step-by-step explanation:
* and x = times tables btw

First you'll want to rewrite the equation:
12r^3
18r^2t
24t^4

Then factor the monomial, 12r^3=2*2*3*r*r*r
18r^2t
24t^4

Finding the lease common multiple of the expressions, write the product of all factors the greatest number of times they appear in factorization.

12r^3=2*2*3*r*r*r
18r^2t=2*3*3*r*r*t
24t^4=2*2*2*3*t*t*t*t
Your answer is
2 x 2 x 2 x 3 x 3 x r x r x r x t x t x t
simplify it and you get
72r^3t^4

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:

Displacement = 0 mi

Distance = 164,996.45 mi

Step-by-step explanation:

In this case, the displacement will be zero because the satellite goes back to its starting point after one day. If there is no distance traveled between the starting point and the ending point, then the Displacement will be zero.

When it comes to the distance, we will need to calculate the perimeter of the circle the satellite describes when making one whole turn around the earth.

The perimeter of a circle is given by the equation:

\(p=2\pi r\)

so we need to start by finding what the radius of the circle is. This radius if found by adding the radius of the earth and the distance above the equation the satellite is located at, so we get that:

\(r=r_{earth}+h\)

where h is the height of the satellite, so the radius of the circle is:

\(r=22,300mi + 3,960 mi\)

so

r=26,260 mi

so now we can use the perimeter equation to get:

\(p=2\pi r\)

\(p=2\pi (26,260)\)

So the distance traveled by the satellite in one day will be:

P=164,996.45 mi.

9514 1404 393

Answer:

  150

Step-by-step explanation:

The increase is by the factor 5/3, so the increased number is ...

  90×(5/3) = 150

90 increased in the ratio 5 : 3 is 150.

The vertex form of the quadratic equation that represents the height, h, of the projectile after t seconds is given byy = -(x - 6)² + 64.

An alien from the planet Tellurango, shoots a flaming projectile straight up into the air from the edge of a cliff that is 28 meters high.The height of the projectile, h, after t seconds is modeled by a quadratic equation. The projectile reaches a maximum height of 64 meters after 6 seconds. Therefore, we can say that the vertex of the quadratic equation is (6,64).

Let's write the quadratic equation in the vertex form:y = a(x - h)² + ky = a(x - 6)² + 64

Here, the vertex of the quadratic equation is (h, k) = (6, 64)We have to find the value of "a". The value of "a" can be determined using the given points which are (0,28), (6,64).

The equation of the quadratic equation can be written as follows:y = a(x - h)² + ky = a(x - 6)² + 64.

Using the vertex form of the quadratic equation, we can say that the projectile reaches a maximum height of 64 meters after 6 seconds and the height of the cliff is 28 meters.

Hence, the equation can be written as follows:28 = a(0 - 6)² + 6428 = 36a + 6436a = - 36a = -1Therefore, the vertex form of the quadratic equation that represents the height, h, of the projectile after t seconds is given byy = -(x - 6)² + 64Answer: y = -(x - 6)² + 64.

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