A line passes through point 6, 1 and has a slope of 43. Write an equation in =+AxByC form for this line. Use integers for A, B, and C.

Answer:

Step-by-step explanation:

Given the quadratic equation y = 2x² +7x -9, you want the coordinates of the x- and y-intercepts.

The values of x where y=0 can be found by factoring the equation.

  y = (2x +9)(2x -2)/2 = (2x +9)(x -1)

The constants 9 and -2 in the binomial terms are factors of the product of leading and trailing coefficients (2)(-9) = -18. Those factors are chosen because their sum is 7, the middle coefficient.

The x-intercepts are the values of x that make these factors zero:

  2x +9 = 0   ⇒   x = -9/2

  x -1 = 0   ⇒   x = 1

Points A and B are ...

The y-value at point C is where x=0. It is the constant in the quadratic equation.

  y = 2(0²) +7(0) -9 = -9

Point C is ...

Answer:

bca

Step-by-step explanation:

5x5=25 5 to the power of 2 is 25 plus the power of x on all of them

The driver’s average speed for the laps driven is 192.972mph

The formula for average speed is given below:

    Average speed = (Sum of the lap speeds driven by the driver) / (Total   number of the lap speed driven by the driver)

Sum of the lap speed = 195.3 + 190.456 + 193.557 + 192.575 mph

                                = 771.888 mph

Number of lap speed driven by the driver = 4

Now putting the required values in the formula of average speed we get

   Average speed = 7771.888/4 mph

                               = 192.972 mph

Hence the driver’s average speed for the laps driven is 192.972mph

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Answer:

5

Step-by-step explanation:

f(2) = (2)^2 +2(2) - 3

f(2) = 4 + 4 - 3

f(2) = 8 - 3

f(2) = 5

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Answer:

What's the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

s = d/t = 100/2.5

Answer:

Only one equation fits all the information on the table which is:

y = 1/6x

Answer:

y = 1/6x

Step-by-step explanation:

To find the equation, let's see if each option works by plugging in x into each equation.

y = –1/4x

Plug -6 into x

y = –1/4(-6)

y = 1.5

y = –1/4x doesn't work because we didn't get -1.

y = 6x

Plug -6 into x

y = 6(-6)

y = -36

y = 6x doesn't work because we didn't get -1.

y = 1/6x

Plug 1/6x into x

y = 1/6(-6)

y = -1

Let's see if the other x values work.

Plug 0 into x

y = 1/6(0)

y = 0

Plug 12 into x

y = 1/6(12)

y = 2

y = 1/6x works.

y = –2x

Plug -6 into x

y = –2(-6)

y = 12

y = -2x doesn't work because we didn't get -1.

y = 1/6x is the only linear equation that worked and got all y values, so that is your answer.

Hope that helped and have a lovely rest of your day!

.

3(x+5) + 2(x-3) = 6(3(1/6))

3x + 15 + 2x - 6 = 3 X 1

5x + 9 = 3

5x = - 7

x = - 7/5

Step-by-step explanation:

We will assume “a number” is “a”. When it is cubed it will be represented by

= “a³”.

When we multiply the number with 5 then the new cube will be

= (5a)³

Now distribute the exponent to the factors inside the parentheses.

= 125a³

What happens in the parentheses is 5*5*5 = 125

a*a*a = a³

So by multiplying your number with 5 it gets increased by 125 times.

We use parenthesis if an interval is infinite on both boundries in order to exclude end-points .

Square brackets mean the set of all points from a to b .

If we use square brackets , it would mean we are including - infinity and + infinity , which is practically impossible .

When we , use parenthesis only the nos . lying between the two points are taken into consideration , the two points are not included .

So , we use parenthesis to exclude - infinity and + infinity .

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Equation giving the length of this rod at temperature is g = 0.000085t + 84.991075 cm.

What is temperature ?

Given that,

Temperature denoted by T

G - L = aL(t - T)

G = aLt +  L(1 - aT)

Slope = aL

Intercept = L(1 - aT)

g = 0.000085t + 84.991075 cm

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The batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins

The given parameters can be represented on the following table

                 Bread (x)                    Muffins (y)

Prepare         4                                 1                         16

Bake             0.5                            0.5                        10

Profit            35                               10

The parameters from the above table are

Max P = 35x + 10y

Subject to

4x + y <= 16

0.5x + 0.5y <=10

x, y > 0

Solving the above constraints using a graphing calculator, we have the following points

(x, y) = (4, 0) and (0, 16)

Substitute these values in Max P = 35x + 10y

So, we have

P = 35 x 4 + 10 x 0 = 140

P = 35 x 0 + 10 x 16 = 160

160 is greater than 140

Hence, the batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins

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She will lease out 21 apartments in the month of October.

We are given that a leading agent leases 15 apartments in the month of September.

Number of apartments in the month of September = 15.

Now, it is also given that she leases 40 % more apartment in the next month that is October.

Number of apartments in the month of October. = 15 + 40 % of 15

Number of apartments = 15 + 40 / 100 × 15

Number of apartments = 15 + 6

Number of apartments = 21 apartments.

Therefore, she will lease out 21 apartments in the month of October.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{a\times b}}[/tex]

[tex]\mathsf{= 24\times8}[/tex]

[tex]\mathsf{= 192}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{192}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

B x=√28 using Pythagorean theorem

[tex]1/3 \longrightarrow 0.33 \\ \\ 1/2 \longrightarrow 0.50 \\ \\ 1/4 \longrightarrow 0.25 \\ \\ 3/4 \longrightarrow 0.75 \\ \\ 2/3 \longrightarrow 0.66[/tex]

Over a year, a prison's population dropped by 312 inmates. We know that 1 Year = 12 Months.

Additionally, considering that each of the 12 months declined at the same rate.

the Monthly decrease  in members = 312 / 12 = 26

Therefore, the expression used to calculate the monthly drop in prisoner population = Number of prisoners decreased per year / Number of months

Note: If the monthly drop rate is the same, the aforementioned equation is correct ( for all months in that year)

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the correct answer is 6259

Answer:

E) Line 5

Step-by-step explanation:

Line 5 contains the first incorrect mathematical process

Process

x−5(x+1)>3x+2

−4x−5>3x+2

−7x−5>2

−7x>7

x<−1

The cost of the dryer will be $450

In the given sum the combined cost of the washer and dryer is $813

let the cost of the dyer be x

the cost of the washer will be (87 - x) as it is mentioned in the question washer costs $87 less than the dryer

According to the problem :

∴  x + (x-87) = 813

=> x+x-87 = 813

=> 2x - 87 = 813

=> 2x = 813 +87

=> 2x = 900

=> x = 900/2

=> x = 450

So the cost of the dryer is $450

The cost of the washer is = x - 87 = 450 - 87 = $363

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Answer:

4n^2 + 5n.

Step-by-step explanation:

If the number is n, then:

4n^2 + 5n.

1. The number of edible portions (EP) is 64.

2. The food cost per portion = $0.75 per portion.

The number of edible portions can be determined by first converting the case weight in pounds into ounces.

There are 16 ounces in a pound. 20 pounds will equal 320 ounces by multiplication (16 x 20).

Then, divide 320oz by 5oz to determine the number of portions.

Yield:                      90%

Purchase Unit:       10 boxes = 1 case

Case Weight:        20 lbs

Case Cost:           $48.00

Portion Size:         5oz

1lb = 16oz

20lbs = 320oz (20 x 16)

Edible portions (EP) = 64 (320oz/5oz)

Food cost per portion = $0.75 per portion ($48/64).

Thus, the number of edible portions is 64 with the food cost per portion as $0.75.

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Answer:

Step-by-step explanation:

Mustafa's soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100.

The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending

the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

Answer:

Step-by-step explanation:

This article is about the basic inequality {\displaystyle z\leq x+y}{\displaystyle z\leq x+y}. For other inequalities associated with triangles, see List of triangle inequalities.

Three examples of the triangle inequality for triangles with sides of lengths x, y, z. The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.[1][2] This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality.[3] If x, y, and z are the lengths of the sides of the triangle, with no side being greater than z, then the triangle inequality states that

{\displaystyle z\leq x+y,}z\leq x+y,

with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about distances, and it is written using vectors and vector lengths (norms):

{\displaystyle \|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,}\|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,

Answer:

your answer is 7/2

Answer:

y = 19.2

Step-by-step explanation:

We know there is relationship between y and x, so according to the formula [tex]y = kx[/tex]

k = 12/5

we get one function y = 2.4x

when x = 8, input it into the function,

y = 2.4×8 = 19.2

Shirley will take 8 hours to complete mowing the field alone.

We are given that Shirley and Pam, working together, can mow the lawn in 6 hours.

So, work done if 1 hour together = 1 / 6

Also, we are given that Pam takes three times as long as Shirley when she works alone.

Time taken by Pam = 3 times Time taken by Shirley.

Let the time taken by Shirley be y.

Job done in 1 hour = 1 / y

Time taken by Pam = 3 y

Job done in 1 hour = 1 / 3y

ATQ:

1 / y + 1 / 3 y = 1 / 6

4 / 3 y =1 / 6

24 = 3 y

y = 24 / 3

y = 8 hours.

Therefore, Shirley will take 8 hours to complete mowing the field alone.

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