What is the slope and y-intercept of the equation on this graph

By using the graph the advantages of word and function notation has been described below.

What is graph of a function ?

At first it is important to know about function.

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Graph of a function  f(x) is the collection of points of the form (x, f(x))

Here,

1) Suppose a situation is presented on a graph and in function form.

We know that graph is the pictorial representation of a situation which is already in words and the functional value is plotted on the graph

Now there are many graph which cannot be interpreted by a layman. For them, presenting the situation in words is a good idea.

2) For calculation purpose, sometimes it might be difficult to understand if the given situation is in words. But if the situation is given in functional form or in graphical form, then the calculation can be done in an easier way.

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Answer:

n=14

Step-by-step explanation:

12.5=n-1.5

-n=-1.5-12.5

-n=-14

n=14

Answer:

It's C

Step-by-step explanation:

Based on the results, the below  list shows a comparison of the overall performance of the portfolios, from best to worst:

Portfolio 2, Portfolio 1, Portfolio 3

Portfolio 1:

total investment=$1250+$575+$895+$800+$1775

total investment = $5295

weighted average ROR= (12.6%*$1250/$5295 + 2.8%*$575/$5295 + 10.4%*$895/$5295 +1.8%*$800/$5295 - 5.6%*$1775/$5295)

weighted average ROR = 3.23%

Portfolio 2:

total investment = $950 + $2025 + $1185 + $445 + $625

total investment = $5230

weighted average ROR= ( 12.6%*$950/ $5230 + 2.8% *$2025/ $5230 + 10.4%*$1185/ $5230 + 1.8%* $445/ $5230 - 5.6%*$625/ $5230)

weighted average ROR = 5%

Portfolio 3:

total investment = $900 + $2350 + $310 + $1600 + $2780

total investment = $7940

weighted average ROR = (  12.6%*$900/$7940 + 2.8% *$2,350/$7940 + 10.4%*$310/ $7940 + 1.8%* $1600 / $7940 −5.6% *$2780/$7940)

weighted average ROR = 1%

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Answer:

The mean of the sampling distribution of sample means is equal to the population mean, which is 5.3 years.

give thanks for more! your welcome!

Step-by-step explanation:

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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9514 1404 393

Answer:

  $131,600

Step-by-step explanation:

If the listing price is P, then the net is the difference between that and all of the various costs.

  P -(5%×P) -94,000 -16000 = 15,000

  0.95P = 125,000

  P ≈ 131,600 . . . . . . divide by 0.95

The minimum listing price must be $131,600.

Answer:

yes

Step-by-step explanation:

first you add 8 plus 36 then done

Answer:

The width cannot be negative, so w = 9, l = 16.

Step-by-step explanation:

w = the width

l = w +7

A = l · w

A= w ( w + 7 )

144 = w2 + 7w

0 = w2 + 7w - 144

0 = ( w - 9 )( w + 16 )

The width cannot be negative, so w = 9, l = 16.

The length of the rectangle in inches is 20 inches.

The formula for calculating the area of a rectangle is expressed as

A = LW

L is the length

W is the width

If the length of a rectangle is 7 inches longer than its width, hence;

L = W + 7

The area of the rectangle will become:

A = (W + 7)W

A = W² + 7W

260 = W² + 7W

W² + 7W - 260 = 0

W² + 20W-13W - 260 = 0

W(W+20)-13(W+20) = 0

W - 13 = 0

W = 13in

On factorizing, the width of the rectangle is 13in

Get the length

L = 260/13

L = 20 inches

Hence the length of the rectangle in inches is 20 inches.

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Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Answer:

10920.176064km

Step-by-step explanation:

Circumfrence = 2*pi*radius

radius = diameter/2

r = 3476/2

c=2(pi)r

c=2(pi)(3476/2)

c=10920.176064

The medians are about the same.

Option C is the correct answer.

The median, in statistical terms, refers to the value in the center of a dataset that has been sorted either in ascending or descending order, and it is a commonly used measure of central tendency. This contrasts with the mean, which calculates the total value of all figures, then divides by the number of figures.

We have,

Movie theater 1.

From the box plot given,

The median is 995.

Movie theater 2.

From the box plot given,

The median is 995.

Thus,

The median in both the box plot is the same.

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Answer:

-2 3/5, -9/4, 1.2, 7/4

Step-by-step explanation:

First, unmix the mixed numbers.

-9/4 = -2 1/4.

Which is greater?

1/4 vs. 3/5

Answer: 3/5 So...

-2 3/5 would be the least.

Then there would be -2 1/4

Then, it would be 1.2 because 1.2 is smaller than 7/4.

Therefore, this pattern would be the correct answer...

From Least to greatest=

-2 3/5, -9/4, 1.2, 7/4

-kiniwih426

Answer:

30

Step-by-step explanation:

g(11)= 11-2=9

f(9)= 9²-54+3= 30

The line of best fit for the set of data in this problem is given as follows:

y = 0.613x + 4.142.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.

The points for this problem are given as follows:

(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).

Inserting these points into a calculator, the line of best fit is given as follows:

y = 0.613x + 4.142.

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Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

The total number is 80, Among them 30% are under the age of 7, so the number of players under the age of 7 is,

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

Step-by-step explanation:

Function representing the bacterial growth has been given as,

\(b_1(t)=1200(1.8)^t\)

a). Here 1200 represents the initial number of bacteria taken for the study (1).

b). 1.8 represents the growth factor by which the population of the bacteria is multiplying.

c). Second study is modeled by the function given as,

  \(b_2(t)=1000(1.8)^t\)

  Here, initial population of bacteria = 1000

  Difference in 1200 and 1000 in two studies means → Second study was conducted on 1000 bacteria while in study (1) number of bacteria were 1200.

Answer:

48ab+72a/4

Step-by-step explanation:

it is a fraction

Answer:

A f(x + 1) = ⅚ f(x)

each subsequent y is 5/6 of the previous y

so when

x is 1

y is 1296

when

x is 2 (x+1)

y is 1080 (5/6 of 1296)

when

x is 3 (x+1 or 2+1)

y is 900 (5/6 of 1080)

Step-by-step explanation:

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The function which represent the graphical geometric sequence is given by f ( x + 1 ) = ( 5/6 ) f ( x )

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the first term of the GP be a₁ = 1296

Let the second term of the GP be a₂ = 1080

So , the common ratio r = second term / first term

r = 1080 / 1296

r = 5/6

So , the geometric progression is given by the relation

aₙ = a ( 5/6 )ⁿ⁻¹

So , the function is represented by f ( x + 1 ) = ( 5/6 ) f ( x )

Hence , the GP is f ( x + 1 ) = ( 5/6 ) f ( x )

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9514 1404 393

Answer:

  40°

Step-by-step explanation:

The sum of arcs of a circle is 360°, so the measure of arc CD is ...

  CB +BD +CD = 360°

  CD = 360° -140° -140° = 80°

The measure of inscribed angle B is half the measure of the arc it subtends:

  ∠B = arc CD/2 = 80°/2

  ∠B = 40°

Answer:

40 degrees

Step-by-step explanation:

Answer:

7/13

Step-by-step explanation:

Answer:

x times square then subtract

Answer:

work is shown and pictured

Answer:

It's x > 2 D the last one

Step-by-step explanation:

edge 2021 i got it right on test!

Considering the polynomial f(x) = x^4  - 16x³ + 70x² + 48x - 219, we have that:

a) The zeros are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.

b) The linear factors are: (x + 1.995)(x - 1.995)(x - 8 + 3i)(x - 8 - 3i).

c) The solutions to f(x) = 0 are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.

The given zero of the polynomial is:

8 + 3i

Hence it's conjugate is also a zero, that is:

8 - 3i.

Thus the first two factors are given as follows:

(x - 8 - 3i)(x - 8 + 3i) = x² - 16x + 64 + 9i² = x² - 16x + 55.

Then the polynomial can be written as follows:

x^4  - 16x³ + 70x² + 48x - 219 = (ax² + bx + c)(x² - 16x + 55).

As a fourth order polynomial can be the product of two second order polynomials. Applying the distributive property to the right side of the equality, we have that:

x^4  - 16x³ + 70x² + 48x - 219 = ax^4 + x³(b - 16a) + x²(55a + c - 16b) + x(55b - 16c) + 55c.

Then the coefficients are given as follows:

Hence the other two factors are given as follows:

x² - 3.98 = 0

x = ± sqrt(3.98)

x = ± 1.995.

The linear factors are:

(x - x')(x - x'')(x - x''')(x - x'''').

In which x', x'', x''' and x'''' are the roots.

The solutions to f(x) = 0 are the roots.

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Answer:

Step-by-step explanation:

Area and perimeter are both measurements used to describe geometric shapes, but they are fundamentally different concepts and therefore change in different ways.The perimeter of a shape is the distance around the outside of the shape. It is a measure of the total length of the boundaries or sides of the shape. Perimeter depends on the length of each side of the shape, and if one or more sides change in length, the perimeter will change accordingly. For example, if you take a square and double the length of one of its sides, the perimeter will double as well.On the other hand, the area of a shape is the measure of the surface enclosed by the shape. It is a measure of the amount of space inside the shape. The area depends on the length and width of the shape, and if one or both of these dimensions change, the area will change accordingly. For example, if you take a square and double the length of one of its sides, the area will increase by a factor of four.In summary, the perimeter of a shape depends on the length of its sides, while the area of a shape depends on its length and width. Therefore, changes to the length of a side will affect the perimeter, but not necessarily the area, while changes to the length or width will affect the area, but not necessarily the perimeter.

Answer:

(x+1.2)2=68.3

Step-by-step explanation:

(x+1.2)2=68.3