Write the equation of the line in slope-intercept form for each question below.
7. slope = 3, y-intercept = 2
holow

The average of the numbers expressed as a mixed number is  2⁴⁶⁷/₁₁₄₀

The average of a given set of numbers is given by X = ∑x/N where

Since we are given the numbers

So,the average is X = ∑x/N

= (x₁ + x₂ + x₃)/N

= (4²/₅ + ³/₃₈ + 2³/₄)/3

= (22/5 + 3/38 + 11/4)/3

Taking the L.C.M of the numbers in the bracket. So, the L.C.M of the nunbers in the bracket is 380. So, simplifying, we have

= (1672 + 30 + 1045)/380 ÷ 3

= 2747/(380 × 3)

= 2747/1140

= 2⁴⁶⁷/₁₁₄₀

So, the average of the numbers expressed as a mixed number is  2⁴⁶⁷/₁₁₄₀

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Answer:

30 petunias

Step-by-step explanation:

p=petunias

0.25p +12 = 0.15p + 15

-0.15p          -0.15 p                 Subtract 0.25 with 0.15

0.10p + 12 = 15

           -12    -12                       Subtract 15 with 12

0.10p = 3                                 Divide 0.10p with 3

p=30

Answer: [tex]y=x^2 -4x-2[/tex]

Step-by-step explanation:

The equation in vertex form is [tex]y=a(x-2)^2 -6[/tex]. Substituting in the coordinates (5, 3),

[tex]3=a(5-2)^2 -6\\\\3=9a-6\\\\9=9a\\\\a=1[/tex]

So, the equation is [tex]y=(x-2)^2 -6[/tex]. This expands as follows:

[tex](x-2)^2 -6\\\\=x^2 -4x+4-6\\\\=x^2 -4x-2[/tex]

Answer:

f(x) = [tex]x^{2}[/tex] -4x -2

Step-by-step explanation:

Answer:

(22 × 3) - 62

Step-by-step explanation:

(22 × 3)-62

66 - 62

The answer is therefore 4

Answer:

2(46+w) + 2(w)

Step-by-step explanation:

A stadium has 20,000 reserved seats and 25,000 general admission seats. if reserved seats are $17.50 and general admission seats are $10.75. The total money taken is $618750

a stadium has 20,000 reserved seats

cost of reserved seats are $17.50

total cost of reserved seats are 20000 x $17.50

total cost of reserved seats = $350,000

the stadium has 25,000 general admission seats

cost of general admission seats are $10.75

total cost of general admission seats is 25000 x $10.75

total cost of general admission seats = $268,750

total money taken if tickets of all seats are sold is summation of cost of reserved seats and general seats

= $ 350000 + $268750 = $618750

Therefore the total money taken is $618750

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The information about the triangle will be:

Length of the shorter leg: = 5cm

Length of the longer leg: = 12cm

Length of the hypotenuse: = 13cm

It should be noted that the formula for illustrating the information is:

c² = a² + b²

where c = hypothenuse

The shorter leg = x

Longer leg = x + 7

Hypothenuse = 13

Therefore, c² = a² + b²

13² = x² + (x + 7)²

169 = x² + x² + 14x + 49

169 = 2x² + 14x + 49

169 - 2x² - 14x - 49 = 0

-2x² - 14x + 120 = 0

Multiply through by minus

2x² + 14x - 120 = 0

Divide through by 2

x² - 7x - 60

x² - 12x + 5x - 60

x(x - 12) + 5(x - 12)

Therefore, the smaller length is 5cm and the bigger Length is 12cm

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Answer:

y = -5x + 10

Step-by-step explanation:

Answer:

-5x + 10

Step-by-step explanation:

If a line 2 is perpendicular to line 1 and line 1 has slope m, then line 2 must have slope = [tex]\sf -\dfrac{1}{m}[/tex] which is the negative of the reciprocal of m

Essentially the product of the two slopes = -1

The line
[tex]y = \dfrac{1}{5}x - 19[/tex]
has slope of  [tex]\dfrac{1}{5}[/tex] so the slope of line h which is perpendicular to this line must have slope = negative of reciprocal of [tex]\dfrac{1}{5}[/tex]

Reciprocal of [tex]\dfrac{1}{5}[/tex] is 5
Negative of reciprocal is thus -5

Equation of h is of the form
y = -5x + b where b is the y intercept, the value of y at x = 0

Since line h passes through (3, 0) we plug in these values for x and y and solve for b
0 = -5(3) + b

0 = -15 + b
15 = b                  (Adding 15 on both sides)
b = 15

Equation of line h is y = -5x + 15

Line g is parallel to line h. Parallel lines have the same slope so the equation for line g is
y = -5x + b                     (since slope of g = slope of h = -5)

Since this line passes through x = -1, y = 15 we can solve for b as before by plugging these values into the equation

15 = -5(-1) + b
15 = 5 + b
10 = b         (Subtracting 5 on both sides)
b = 10

So equation of line g = -5x + 10

The value of C3, when B2 is changed from 7 to 9 is 18.

Given that, B2 is changed from 7 to 9.

The formula is a fact or a rule written with mathematical symbols. It usually connects two or more quantities with an equal sign. When you know the value of one quantity, you can find the value of the other using the formula.

The given formula = B2 × 2

When B2 is 7, the value of C3 is 14

When B2 is changed from 7 to 9, the value of C3 is B2 × 2 = 9 × 2

=18

Therefore, the value of C3, when B2 is changed from 7 to 9 is 18.

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If the event of a coin is being flipped eight times. If that event is repeated 10000 different times. it is expected that the event would result in 8 heads about 39.06times

The probability of flipping heads onetime= 1/2

Hence,

Probability of flipping heads 8  times in a row is:

Probability= (1/2)^8

Probability=0.00390625

Now let determine the expected times

Number of times=0.00390625×10,000

Number of times=39.06 times

Therefore If the event of a coin is being flipped eight times. If that event is repeated 10000 different times. it is expected that the event would result in 8 heads about 39.06 times

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Answer: 5

Step-by-step explanation:

2(x-3)=4

2x-6=4

Add 6to each side

2x=10

Divide each side by 2

X=5

Does this help?

The expression in factored form for the polynomial of the least possible degree is f(x) = (3 / 16) · (x + 2) · (x + 1) · (x - 2) · (x - 4).

A polynomial can be written as a product of a constant named lead coefficient and binomials of the form x - r, where r is the root of the polynomial. A root is a value of x such that the polynomial is equal to zero and the lead coefficient can be determined by using the y-intercept of the graph, then:

f(x) = a · (x + 2) · (x + 1) · (x - 2) · (x - 4)

Where a is the lead coefficient.

If we know that f(0) = 3, then the value of the lead coefficient is:

3 = a · (0 + 2) · (0 + 1) · (0 - 2) · (0 - 4)

3 = 16 · a

a = 3 / 16

The expression in factored form for the polynomial of the least possible degree is f(x) = (3 / 16) · (x + 2) · (x + 1) · (x - 2) · (x - 4).

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Answer:

2:46 p.m.

Step-by-step explanation:

Answer:

2:46 p.m.

Step-by-step explanation:

Start time: 10:11 a.m.

movie end time: 10:11 a.m. + 2hrs 30 min = 12:41 p.m.

soccer end time: 12:41 p.m. + 2hrs 5 min = 2:46 p.m.

Answer:

.8976 per yard

Step-by-step explanation:

30-24.67=5.33

13÷5.33= 2.43 yards

Answer:

d is the answer to your question

The approximate number for people living in City B is 2612500 people

The given parameters are

City A = about 1,045,000, people

City B = 2.5 times that number of people living in City B

Substitute City A = about 1,045,000, people in City B = 2.5 times that number of people living in City B

So, we have

City B = 2.5 times 1,045,000, people

Rewrite as

City B = 2.5 * 1,045,000, people

Evaluate the product

So, we have

City B = 2612500 people

Hence, the approximate number for people living in City B is 2612500 people

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[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]

- - - - - - - - - - - - - - - - - - -

[tex]\textsf{The illustrated property is the associative property, which states that you}\\\textsf{can change the grouping of the numbers, but the result will be the same.}\\\textsf{In other words,}\\\textsf{(a+b)+c=a+(b+c)}[/tex]

[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]

Answer:

B

Step-by-step explanation:

we need to look at the y-intercept (the y value when x=0).

we need equating with +2 and +4 at the end.

that eliminates A and C, leaving B and D as potential right answer.

but then we see that the y-intercept "+2" must be in an equation for x <= 0, because that line with +2 intercept only covers negative x.

so, B is correct.

The measure of the angle RQS is 100 degrees, and the measure of the angle TQS is 80 degrees.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

ZRQT is a straight angle

The sum of the angle RQS and angle TSQ will be 180 degrees

9x + 1 + 7x + 3 = 180

16x + 4 = 180

16x = 176

x = 176/16

x = 11

RQS(9x+1)° = 9x11 + 1 = 100

TQS(7x+3)° = 7x11 + 3 = 80

Thus, the measure of the angle RQS is 100 degrees, and the measure of the angle TQS is 80 degrees.

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Answer:

[tex]5x - 20[/tex]

Step-by-step explanation:

Product means the result of the multiplication of two numbers. A part of our expression will include the product of five and a number. We don't know what number it is, therefore, we'll call it [tex]x[/tex]. The product of those two numbers can be algebraically expressed as [tex]5x[/tex] (we usually eliminate the multiplication sign between numbers and variables).

We are then asked to express the number that is 20 less than the product we found earlier. To find this expression, we should subtract 20 from the product, giving us [tex]5x - 20[/tex].

Answer: The quotient is when x+ 5x + 2 = 6

The reminder is when x+ 5x + 2 = -4  

Step-by-step explanation:

Given data,

The quotient and the remainder when x + 5x + 2 is divided by x + 1

Let, f(x) = x + 5x + 2

      g(x) = x+1

we can write,

   g(x) = x+1 = 0

   g(x) = x = -1

so,        f(x) = x + 5x + 2

we can substitute x = -1 value

             f(x) = x + 5x + 2

             f(-1) = (-1) + 5(-1) + 2

             f(-1) = (-1) - 5 + 2

              f(-1) = (-1) - 3

              f(-1) = -4

Therefore,

The quotient is when x+ 5x + 2 = 6

The reminder is when x+ 5x + 2 = -4        

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The dividend payout ratio is -53.43% when a growth rate of 14 percent per year and a debt-equity ratio of .5. The profit margin is 4.6

percent, and total asset turnover is constant at 1.16.

To calculate the ROE we would have to use the following formula:

ROE=Profit margin x Total asset turnover x Equity multiplier

ROE=0.046 x 1.16 x (1 +0.5)

ROE=0.08004

Therefore, dividend payout ratio would be calculated as follows:

0.14 = (0.08004 x dividend payout ratio) / [ 1 - (0.08004 x dividend payout ratio))

0.14 = 0.08004 x dividend payout ratio / (1 - 0.08004 dividend payout ratio)

0.14 - 0.0112056 dividend payout ratio = 0.08004 dividend payout ratio

0.14 = 0.0912456 dividend payout ratio

dividend payout ratio=1.53432

Therefore, dividend payout ratio=1-1.53432

dividend payout ratio=-53.43%

The dividend payout ratio is -53.43% when a growth rate of 14 percent per year and a debt-equity ratio of .5. The profit margin is 4.6

percent, and total asset turnover is constant at 1.16.

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Answer:

2. 4f+s, 3. 3c+10, 4. b-3, 5. f < 2t, 6. 3p + b, 7. 5w + 2, 8. c + 2w + f < 100

2 is the input value, while 6 is the result.

We know the rule is Multiply the input by 6 to get the output.

= (2*5)-4

=10-4

=6.

A function rule is the equation-based relationship between dependent and independent variables. How to calculate the value of the dependent variable, say y, in terms of the independent variable, say x, is explained by the function rule of a particular function. A function table includes a function rule as well as input and output values. If we plug in various values for the input, we obtain corresponding values of output according to the function rule. The relationship between the input values x and the output values y always follows a pattern that is specified by the function rule.

Hence, the input and output value of a table is 2 and 6.

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Answer:

11x - 16

Step-by-step explanation:

3x + (8x-16)

3x + 8x-16

11x - 16

The explanation that could be used to verify whether the functions are inverses is; The point of intersection of the two functions is not on the line y = x; therefore, the functions are not inverses of each other.

If we assume that (a, b) is a point that lies on both the graph y = f(x) and the graph y = f⁻¹(x), then from the second condition, it follows that the point (b, a) lies on the graph of f.

So, we’re looking for a function whose graph includes two points (a, b) and (b, a) and we want a ≠ b. An example is;

f(x) = -1/x³

So that the inverse function is f⁻¹(x) = 1/x^(1/3)

Thus, applying that concept to this question and we can conclude that the point of intersection of the two functions is not on the line y = x; therefore, the functions are not inverses of each other.

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Answer:

51.92

Step-by-step explanation:

135/260 = .51923076923  x 100 to get the percentage

51.923076923 and round

Answer:.05*1493.47 = $74.67 also

Step-by-step explanation: