X
-2
-1
0
1
2
у
N
3
4
5
6

Answer:

The value of n:

Step-by-step explanation:

Given that the line has slope 6.

i.e. m = 6

The line includes the points

Using the formula to find the slope of the points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]

[tex]m=\frac{4}{8-n}[/tex]

as

m = 6

substituting m = 6

[tex]6=\frac{4}{8-n}[/tex]

[tex]6\left(8-n\right)=4[/tex]

Divide both sides by 6

[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]

[tex]8-n=\frac{2}{3}[/tex]

subtract 8 from both sides

[tex]8-n-8=\frac{2}{3}-8[/tex]

simplify

[tex]-n=-\frac{22}{3}[/tex]

Divide both sides by -1

[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]

[tex]n=\frac{22}{3}[/tex]

Therefore, the value of n:

Answer:

2x - 3 = -7 (add 3 to both sides)

2x = -4 (divide each side by 2 to get x alone)

x = -2

Answer:

29

Step-by-step explanation:

First, we have to find three numbers out of the four that add up to 84. But, it has to be in order because the question says consecutive numbers. In case you don’t know, consecutive numbers are numbers that increase at the same rate. In this problem, the numbers increase by one. I first did 26+27+28, which equaled 81. I have to get to 84 though. So, I did 27+28+29, which equaled 84. I did it correctly because 27, 28, and 29 are consecutive number, since they go inorder, and I added them up to 84. But the question is asking which of the three is the largest number. So, out of 27, 28, and 29, 29 is the largest number.

Hope this helps and answers your question! :)

Answer:

Step-by-step explanation:

i just took the test its 29

Answer:

Profit Function, P(x) Total Income minus Total Cost. Profit ... The next unit will make this Revenue. Marginal Cost Function, C'(x) The next unit will be this Cost ... A manufacturing company produces and sells tables. The cost function is given by: where x is the number of tables. The tables are sold for $200 each. Find . 1. The total cost of ...

Step-by-step explanation:

Answer:

yes because on the second one you have to use the distribution property (multiply the term outside the parenthesis by the terms inside them)

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Distribute 6 to (4x+y), and you will get the same expression of 24x+6y.

4x times 6 = 24x

6 x y = 6y

24x+6y

The solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

We have a graphical representation of two functions f(x) and g(x) and where they intersect.

We have to solve the equation f(x) = g(x)

The total number of solutions can be calculated by counting the points at which these curves intersect each other. Hence, the total number of possible solutions are 3.

In the question given - We have a straight line and a parabola -

Now, we just have to look at the points at which these two graphs intersect each other. It can be seen that - both the graphs cut each other at coordinates - (4, 8) and (-2, 2).

Hence, the solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

Alternative Method -

The general equation of straight line is : y = mx + c and that of parabola is : y = [tex]\sqrt{4ax}[/tex]

The solution can be calculated by equating both of the above expressions and solving them.

mx + c = [tex]\sqrt{4ax}[/tex]

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Answer:

f(x) = x³ - 2x² - x + 2

Step-by-step explanation:

Since, the graph attached has three zeros (x-intercepts) at x = -1, 1 and 2,

Equation of the given function will be,

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

By solving this equation,

f(x) = (x² - 1)(x - 2)

     = x²(x - 2) - 1(x - 2)

     = x³ - 2x² - x + 2

Therefore, answer  will be f(x) = x³ - 2x² - x + 2.

According to the given graph,

Three zeros,

The function will be:

→ [tex]f(x) = (x+1)(x-1)(x-2)[/tex]

By solving this, we get

          [tex]= (x^2-1)(x-2)[/tex]

          [tex]= x^2(x-2)-1(x-2)[/tex]

          [tex]= x^3-2x^2-x+2[/tex]

Thus the function above is right.

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Answer:

12%

Step-by-step explanation:

In order to calculate this we first need to find the total that she would pay if she were to choose either of these options. We do this by multiplying the number of years it would take to pay off the loan by the 12 months in a year, and then we multiply this product by the monthly payment like so...

Minimum Payment:

(12 * 12) * 28 = $4,032

$100 a month payment:

(12* 3) * 100 = $3,600

Now that we have both we need to divide the minimum payment total by the $100 a month payment total to get the percentage increase in decimal form

$4,032 / $3,600 = 1.12

Now we subtract 1 and multiply by 100 to turn this decimal into a percentage

(1.12 - 1) * 100 = 12%

Finally, we can see that if Asa only pays the minimum then she would be paying a 12% increase as opposed to paying the $100 a month

Answer:

[tex] 1\frac{1}{6} [/tex]

Step-by-step explanation:

Given:

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

Required:

Evaluate

SOLUTION:

To evaluate, we need to convert the mixed fraction to improper fraction, then multiply both fractions together.

Thus:

[tex] \frac{2}{3}*\frac{7}{4} [/tex]

Multiply the numerators together, and multiply the denominators together

[tex] = \frac{2 \times 7}{3 \times 4} [/tex]

[tex] = \frac{14}{12} [/tex]

Simply the fraction by dividing the numerator and denominator by 2

[tex] = \frac{7}{6} [/tex]

[tex] = 1\frac{1}{6} [/tex]

Answer:

YES

Step-by-step explanation:

4(Z-3)=16

4Z-12=16

  +12 +12

4Z=28

Z=7

Answer:7

Step-by-step explanation:

4(z-3)=16

4z-12=16

4z=28

4z/4=28/4

z =7

Answer: 1 625.5cm or 16.255m

Step-by-step explanation:

convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.

convert the cm measurements back to m measurements (i only assume because you said . m at the end)

The total amount of fabric she cut is  17.255 m .

The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.

In order to add the different lengths, the lengths have to be in meters.

100cm - 1 meter

475cm = 475 / 100 = 4.75m

245cm = 245 / 100 = 2.45m

Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m

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The percent of interest is he paying is,

⇒ R = 4.62%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.

Hence, Yearly payments to pay is,

⇒ 12 × 77

⇒ $924

Hence, We get;

⇒ Interest = PRT/ 100

⇒ 924 = 4000 × R × 5 / 100

⇒ 92400 / 20,000 = R

⇒ R = 4.62%

Thus, The percent of interest is he paying is,

⇒ R = 4.62%

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Answer:

y = 4/3x - 4.5

Step-by-step explanation:

1) find the slope 4/3

2) find the y-intercept

3) done ------>    y = 4/3x - 4.5

Answer:

(5,2)(-1,-6)

Step-by-step explanation:

-6-2/-1-5

-8/-6

=4/3

Y+1=4/3(x+6)

Y+1=4/3x+8

Y=4/3x+7

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Mean (average) - add all numbers up and divided by the number of addends

Mean = 46.19047619 (50)

Median - arrange numbers in numerical order, and find the one in the middle

Median = 35

Mode - number that appears the mode

Mode = 80

Range - difference between biggest and smallest number

Range = 80

~theLocoCoco

Answer:

f(7) = 11

Step-by-step explanation:

t = 7, so we can just plug in the value 7 for (t) in the given equation.

f(t) = 2t - 3

  f(7) = (2 × 7) - 3

  f(7) = 14 - 3

  f(7) = 11

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

[tex]x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)[/tex]

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

[tex]From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1[/tex]

After solving we get value of y=-1

Now putting in eq(1) to get value of x

[tex]x+2y=0\\x+2(-1)=0\\x-2=0\\x=2[/tex]

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

[tex]5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3[/tex]

So, After solve the equations we get value of k=3

Answer:

45

Step-by-step explanation:

Answer:

The length of the body is 45.

Step-by-step explanation:

The violin and bass have an equal ratio, to find the ratio find the two given lengths and divide them, 72 ÷ 24 = 3. So the ratio is 3:1. To find the body of the bass you just have to do 15 × 3. Which is 45.

Answer:

A. (1, 2) and (4, 3)

B. Slope (m) = ⅓

C. y - 2 = ⅓(x - 1)

D.[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. [tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

Step-by-step explanation:

A. Two points on the line from the graph are: (1, 2) and (4, 3)

B. The slope can be calculated using two points, (1, 2) and (4, 3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 1} = \frac{1}{3} [/tex]

Slope (m) = ⅓

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (1, 2), and m = ⅓ into the point-slope equation, y - b = m(x - a).

Thus:

y - 2 = ⅓(x - 1)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 2 = ⅓(x - 1)

3(y - 2) = x - 1

3y - 6 = x - 1

3y = x - 1 + 6

3y = x + 5

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. Convert the equation in (D) to standard form:

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

[tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

Answer:have a wonderful Christmas!

Step-by-step explanation:70+95

70=2*5*7

95=5*19

70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)

5*33=165 and 70+95=165 also

Answer:

The answer is 165, hope this helps.

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

Answer:

Step-by-step explanation:

a). Formula to be used,

   A = P(1 + i)ⁿ

       = 100(1 + 0.09)¹

       = $109

b). Formula to be used,

   A = [tex]P(1+\frac{i}{12})^{12n}[/tex]

       = [tex]100(1+\frac{0.09}{12})^{12\times 1}[/tex]

       = [tex]100(1+0.0075)^{12}[/tex]

       = 100 × 1.0938

       = $109.38

(c). Formula to be used,

     A = [tex]Pe^{i\times n}[/tex]

         = [tex]100e^{1\times 0.09}[/tex]

         = [tex]100(e)^{0.09}[/tex]

         = $109.42

Brand A: 32 Diapers, $8.99: about 28 cents per diaper

Brand B: 50 Diapers, $12.49: about 24 cents per diaper

You divide the amount of diapers by the money.

For example, 32 diapers/$8.99 equals about 28 cents per diaper and 50 diapers/$12.49 equals about 24 cents per diaper.

Brand B is the better deal since you save about 4 cents more.

Answer:

B is the answer for the question

Answer:

8 ounce

Step-by-step explanation:

The 30 ounce container costs $0.30 per ounce. The 15 ounce container is $0.33 per ounce. The 8 ounce container is $0.25 per ounce. Therefore, the 8 ounce container costs less per each ounce.

Answer:

[tex]3 * 18= 54[/tex] and [tex]54/18 = 3[/tex]

Step-by-step explanation:

Given

[tex]Sections = 3[/tex]

[tex]Measurement=18[/tex] per section

[tex]Total\ Measurement=54[/tex]

Required

Model the scenario

The model of this scenario is:

[tex]Sections * Measurement = Total\ Measurements[/tex]

This gives:

[tex]3 * 18 = 54[/tex] -- This represents the multiplication model

Divide both sides by 18

[tex]3 * 18/18 = 54/18[/tex]

[tex]3 * 1 = 54/18[/tex]

[tex]3 = 54/18[/tex]

Reorder

[tex]54/18 = 3[/tex] -- This represents the division model

Answer:

121*5677*66766.546646

5

Step-by-step explanation: