Finding slope for (-1,1) and (5,4)

The rate of change of the equation, y = 2/3x - 18, is: 2/3.

The rate of change of a linear equation that is expressed in slope-intercept form as y = mx + b is represented by the value of m in the equation. It is also referred to as the slope of the equation.

For example, if we are given the equation, y = 4x + 5, the value of m is 4. This implies that the rate of change, which is the slope, is equal to 4.

In the same vein, we are given the equation, y = 2/3x - 18.

The value of m, which is the slope or rate of change in the equation y = 2/3x - 18 is equal to 2/3.

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Histogram for the following intervals will be,

5-9 (4)

10-14 (3)

15-19 (5)

20-24 (3)

Acc to our question-

hence, histogram will show the values.

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Answer:

18.0833333333

Step-by-step explanation:

online calculator

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{3}}x+7\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is -1/3 and that it passes through (-2 , 5.5)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{5.5})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5.5}=\stackrel{m}{- \cfrac{1}{3}}(x-\stackrel{x_1}{(-2)}) \implies y -5.5= -\cfrac{1}{3} (x +2)[/tex]

[tex]y-5.5=-\cfrac{1}{3}x-\cfrac{2}{3}\implies y=-\cfrac{1}{3}x-\cfrac{2}{3}+5.5\implies y=-\cfrac{1}{3}x-\cfrac{2}{3}+\cfrac{55}{10} \\\\\\ y=-\cfrac{1}{3}x-\cfrac{2}{3}+\cfrac{11}{2}\implies {\Large \begin{array}{llll} y=-\cfrac{1}{3}x+\cfrac{29}{6} \end{array}}[/tex]

Answer: 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

I believe that the volume of the rectangular prism is 512.

Explanation: V = whl = 8 · 8 · 8 = 512

V=Volume

W= Width

H= Height

L= Length

The correct interpretation is Q(3) = 0; If Quincy sells 3 bracelets, he will earn $0.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Q(x) = 8.25x − 24.75, where x is the number of bracelets he sells.

So, for x= 3 them Q(3)

Q(3)= 8.25 (3) - 24.75

Q(3) = 24.75 - 24.75

Q(3) = 0

Hence, Q(3) = 0; If Quincy sells 3 bracelets, he will earn $0.

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The features of the functions when a quadratic function is given in the form: y = a (x − p) (x − q)

y = value in the y coordinates

a = constant in the equation

p and q = zeros or roots

x = value in the x coordinates

When quadratic equation is written of the form y = a (x − p) (x − q), it is called the factored form of quadratic equation

The other form is ax^2 + bx + c and called standard form of quadratic equation

a in both cases are same and it helps to da if the curve opens upward or downward

when a is positive the curve opens upward but when it is negative the curve opens downward

Expanding the factored form of quadratic equation brings the equation to the standard form

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The length of one sides of the square Tito's Kitchen is 13 feet.

A square is a quadrilateral with 4 sides equal to each other. The opposite sides of a square is parallel to each other.

The sum of angles in a square is 360 degrees. Each angle is 90 degrees.

The kitchen is a square and has an area of 169 square feet.

The length of one side of the kitchen can be calculated as follows:

area of the square kitchen = l²

where

Therefore,

area of the square kitchen = 169 ft²

169 = l²

square both sides of the equation

√169 = √l²

l = 13 ft

Therefore,

length of the square kitchen = 13 feet.

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Answer:

Step-by-step explanation:

You have a total of 114 legs among hippos and birds, of which there are a total of 42. You want the number of each kind of animal.

Let h represent the number of hippos. Then 42-h is the number of birds, and the total number of legs is ...

  4h +2(42 -h) = 114

Simplifying the equation gives ...

  2h +84 = 114

  2h = 30 . . . . . . subtract 84

  h = 15 . . . . . . . . number of hippos

  42 -h = 27 . . . . number of birds

There were 15 hippos and 27 birds.

The percent that Desmond average speed increase is 25%.

From the information, with his old trainer, Desmond averaged a pace of 24 MPH and with his new trainer, he rode at an average speed of 30 MPH.

It should be noted that the percentage increase in speed will be:

= Change in speed / Initial speed × 100

= (30 - 24) / 24 × 100

= 6/24 × 100

= 25%

The percentage is 25%.

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Answer:

Hope the picture will help you

Answer:

100

Step-by-step explanation:

x = 20

x ÷ 2

= 20 ÷ 2

= 10

y = 10

y ( x ÷ 2 )

= 10 x 10

= 100

Answer:

Step-by-step explanation:

area=10×5+[(15-5)+7]/2×(10-6)

=50+(17)/2×4

=50+34

=?

Answer: 35 miles

Step-by-step explanation:

First we divide 280 by 8 to get the answer per gallon. 280 / 8 = 35, therefore each gallon equals 35 miles.

The expected change in the dividend of a 6% preferred stock is $75.

Given that, the required rate of return drops instantly from 8% to 6%.

A return, also known as a financial return, in its simplest terms, is the money made or lost on an investment over some period of time.

The value of preferred stock = $100

Annual dividend = 100 × 6% = $6

Price of preferred stock when required return is 8% = Annual dividend / Required rate of return

= 6/8%

= 6 ×100/8

= $75

Therefore, the expected change in the dividend of a 6% preferred stock is $75.

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The required simplified value of the given expression is given as -13/20.

Given that,
An expression is given, −1 4/5 + (−1/4) + (−1/5) we have to determine the sum of the expression.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
= -1 4/5 + (-1/4) + (-1/5)
= -1/5 -1/4 -1/5
= -2/5 -1/4
= -13/20

Thus, the required simplified value of the given expression is given as -13/20.

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Answer:

The new value is $292,110

Step-by-step explanation:

321,000 - (1 - 0.09) = 292,110

Answer:

depends on how many sections there are

Step-by-step explanation:

if there were 2 then it would be one foot 4 sections equal 2 and so on. the ratio for this 2:1 meaning there has to be 2 sections for there to be one foot.

Answer:

Scientific notation: 5.2516 x [tex]10^{7}[/tex]

Standard notation 52,516,000

Step-by-step explanation:

Are you asking for the answer to be in scientific notation?

5.2516 x [tex]10^{7}[/tex] or 52,516,000

(1.8066 x [tex]10^{7}[/tex]) + (3.445 x [tex]10^{7}[/tex])

(1.8066 + 3.445) x [tex]10^{7}[/tex]

5.2516 x [tex]10^{7}[/tex]

Answer:

y = 8 [tex](\frac{1}{2}) ^{x}[/tex]

Step-by-step explanation:

an exponential function can be expressed in the form

y = a [tex]b^{x}[/tex]

to find a and b use points that lie on the graph

using (0, 8 ) , then

8 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then a = 8

y = 8[tex]b^{x}[/tex]

using (1, 4 ) , then

4 = 8[tex]b^{1}[/tex] = 8b ( divide both sides by 8 )

[tex]\frac{4}{8}[/tex] = b , that is b = [tex]\frac{1}{2}[/tex]

y = 8 [tex](\frac{1}{2}) ^{x}[/tex] is the exponential function

I think the answer is C. Because the energy from the sun does break Down rocks and release salt

Answer: 1.367

Step-by-step explanation:

csc47° = 1.3673 ≈ 1.367

The value of cosec 47° is 1.367.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

cosec 47°

The value of cosec 47°.

= 1.367334

Rounding to the nearest thousandth.

= 1.367

Thus,

The value of cosec 47° is 1.367.

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The simple interest is $420 and the maturity value is $$6,720

Using this formula to find the simple interest

Simple interest = Principal  × Interest rate × Time

Where:

Principal = $6300

Interest rate =4% or 0.04

Time = 20 month = 20/12 = 1.6666666

Let plug in the formula

Simple interest = $6,300 × 0.04 × 1.6666666

Simple interest = $420

Using this formula to find the maturity value

Maturity value = Principal + Interest

Maturity value = $6,300 + $420

Maturity value = $6,720

Therefore the interest is $420.

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The Mathematical Expression formed is 4(10-8)

What is a Mathematical Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations.

Solution:

The mathematical expression formed frrom the statement;

Multiply the difference of 10 and 8 by 4

is as follows,

4(10-8)

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Amount of money left in Lee pocket after he buys a $35.20 leather jacket from the given amount is equal to $1.3.

As given in the question,

Conversion of quarter into dollars is :

1 quarter = 0.25 dollars

Amount of money with Lee in his pocket is equal to :

= ( 7 × 5) dollars + ( 6 × 0.25) dollars

= (35 +1.5) dollars

=$ 36.5

Cost of leather jacket buy by Lee = $35.20

Amount of money left in lee's pockets after purchasing jacket

= $( 36.5 - 35.20)

= $ 1.3

Therefore, amount of money left in Lee pocket after he buys a $35.20 leather jacket from the given amount is equal to $1.3.

The complete question is :

Lee has seven 5-dollar bills and 6 quarters in his pocket. How much money would he have left in his pocket if he buys a leather jacket

worth $35.20?

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The arithmetic sequence has the 73rd term of 306

The sequence is given as:

18,22,26,30,....

The above sequence has the following parameters

This means that the sequence is an arithmetic sequence

The nth term of an arithmetic sequence is calculated as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation

So, we have the following equation

f(73) = 18 + (73 - 1) * 4

Evaluate

f(73) = 306

Hence, the 73rd term for the arithmetic sequence is 306

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