Write an equation for the trend line shown on the scatter plot. WEIGHT (LBS) 50 45 40 35 30 15 10 5 4 6 7 8 9 10 1 2 3 4 5 LENGTH OF TRIP (DAYS) pls help ​

The Algebraic Notation of the expression is :

a) 7 x p

7 is multiplied to the p

b) p x p

p is multiplied itself.

Given,

In the question:

a) ) 7 x p

b) p x p

To write the above expressions in correct algebraic notation.

What are the algebraic notations and operations?

The algebraic expressions are used to solve mathematical equations. There are 3 types of algebraic expressions namely, monomial, binomial, and polynomial expressions. The basic algebraic operations are addition, subtraction, multiplication, and division.

Come to the question:

a) 7 x p

7 is multiplied to the p

b) p x p

p is multiplied itself.

Hence, The Algebraic Notation of the expression is :

a) 7 x p

7 is multiplied to the p

b) p x p

p is multiplied itself.

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In the given ratio, the statement "5 is bigger than 3, so I must have more hits than Katy." is false. Because this one refer the missing rate.

Ratio:

The relationship between two things when it is expressed in numbers or amounts is known as ratio.

Given,

Ben and Katy throw darts at a target. Ben's ratio of hits to misses is

5:1 Katy's ratio of hits to misses is 3:1

Ben says, "5 is bigger than 3, so I must have more hits than Katy."

Here we need to show that this might not be true.

Here we have the following missing ratios,

Ben's missing ratio = 5 : 1

Katy's missing Ratio = 3 : 1

Here Ben says  "5 is bigger than 3, so I must have more hits than Katy."

While we carefully, looking into the given question, we have identified that the given ratios are represents the loosed dart.

So, the given statement is wrong.

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The equation that he can use to find the value of the smaller is 8+2x = y and y-x = 11 where y is the larger number.

According to the question,

We have the following information:

Hynix is comparing two numbers. He knows the larger number is twice the value of 4 more than the smaller number X. He also knows their difference is 11.

Now, let's take the larger number to be y.

So, we have:

y = 2(4+x)

y = 8+2x

y-x = 11 ....(2)

Putting the value of y from above equation:

8+2x-x = 11

8+x = 11

x = 11-8

x = 3

Now, putting the value of x in equation 2:

y-3 = 11

y = 11+3

y = 14

Hence, the equation that he can use to find the value of the smaller is 8+2x = y and y-x = 11 where y is the larger number and the value of x is 3 and that of y is 14.

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Answer:

45 lemons can be bought with $20

Step-by-step explanation:

             +9   +9  +9    +9    +9

Lemons   9   18   27   36    x

Cost       $4  $8  $12  $16  $20

              +4   +4   +4   +4    +4

Answer:

D

Step-by-step explanation:

David requires $13.5 to buy 2 more pumpkins.

Firstly calculating the cost of one pumpkin and then calculating the desired answer.

Cost of one pumpkin = total cost ÷ number of pumpkins

Keep the values in formula to find the cost of one pumpkin

Cost of one pumpkin = 33.75 ÷ 5

Performing division on Right Hand Side of the equation

Cost of one pumpkin = $6.75

Now, the amount required to buy 2 more pumpkins = 2 × 6.75

Performing multiplication on Right Hand Side of the equation

The amount required = $13.5

Thus, the amount required by David is $13.5.

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The volume of sphere in the diagram by entering the given radius into the volume formula is 36π cubic units.

Given that the volume of sphere is (4/3)×π×r³ and the radius is 3 units.

We want to the find the volume of sphere.

As we are given that the radius is 3 units and the volume of the sphere is (4/3)πr³.

So, firstly, we will substitute the value r=3 in the above formula, we get

V=(4/3)×π×(3)³

Now, we will simplify the above expression, we get

V=4π×9

V=36π cubic units

Hence, the volume of the sphere by entering the given radius into the volume formula for a sphere is 36π cubic units.

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Answer:

A. 7.8

B. 9.8

Step-by-step explanation:

A. 2006 = 3 years

y = 7.1(1.03)ˣ

y = 7.1(1.03)⁽³⁾

y = 7.1(1.092727)

y = 7.7511907

y = 7.8

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

B. 2014 = 11 years

y = 7.1(1.03)ˣ

y = 7.1(1.03)⁽¹¹⁾

y = 7.1(1.38423387)

y = 9.82806047

y = 9.8

If it says, "Round to the nearest tenth," the answer is 9.8. If the answer says, "Round to the nearest whole number," the answer is 10

I hope this helps!

Given that there will be 14 fires in a year, there will be an expected number of fires. There are more than 1000 points available in this question. We must determine the probability that a woman owned.

In a year, a fire will harm one in 12 homes. That is, given if n is equal to 12 and that the value of x is equal to 1, the probability of x being equal to 1 is also equal to 1. Hence, due to fire damage. We discovered that the probability value p equals 0.014, and we are aware that, in general, binomial probability, or the probability that x equals x, is equal to c x, p to the power of x times q to the power of n minus x. Substituting all of these values into the formula, where q = 1 - p, gives us the value of 12 c 1, or 0.014. The total power of 1 for q is 1 minus p, or 1 minus 0.014. 11 points is the power of 12 as a whole less 1. The result of simplification is 0.143865, so Therefore, we have determined that the likelihood of one out of every twelve homes experiencing fire damage is 0.143865 percent.

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The standard form of the equation -8x + 3x² = -19 is 3x² - 8x + 19 = 0.

The standard form of quadratic equation is ax² + bx + c = 0, where 'a' is the leading coefficient and it is a non-zero real number.

The standard form of quadratic equation with a variable x is of the form ax² + bx + c = 0, where a ≠ 0, and a, b, and c are real numbers.

Therefore, a, b and c are constant and x are the variables.

Let's represent the quadratic equation in standard form.

-8x + 3x² = -19

using the format ax² + bx + c = 0,

3x² - 8x + 19 = 0

where

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Answer:

- 2.75  or - 2 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Put in zero for x to solve for y

11x -8y = 22

11(0) -8y = 22

-8y = 22  Divide both sides by -8

y = -2.75

(0, -2.75)

Answer:

[tex]-\frac{22}{8}[/tex] or [tex]- \frac{11}{4}[/tex] in mixed number form, [tex]-2\frac{3}{4}[/tex] simplified

Step-by-step explanation:

Minus 11x from 11x and 22.
You will then get -8y=11x+22.
Divide all the numbers by -8y.
You will get y=-11/8x-22/8
So the y-intercept is -22/8 or -11/4
I hope I got this right

The equation of the line is, y = 2x - 9.

What is the point slope form of the equation of line?

The general form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

Consider, the given two points, (11, 13) and (14, 19).

First to find the slope of the line, using the given two points,

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

[tex]m = \frac{19-13}{14-11} = \frac{6}{2} =2[/tex]

Therefore, the slope of the line is, 2.

Now to find the equation of line.

Consider, the point - slope form of the line,

[tex]y-y_1=m(x-x_1)[/tex]                 ..(1)

where, [tex](x_1, y_1)[/tex] is one of the given point and m is the slope of the line.

Here, [tex](x_1, y_1) = (11, 13), m = 2[/tex]

Substitute the values in the equation (1).

[tex]y-13=2(x-11)\\y-13=2x-22\\y=2x-22+13\\y=2x-9[/tex]

Therefore, the equation of line is, [tex]y=2x-9[/tex].

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2x-3y=6

Intercepts

x= 3

y= 2

ordered pairs: (6,2) (1.2,-1.2)

Jimmy ate 8 , 16 , 24 sandwiches in 1 , 2 and 3 hours respectively .

To find : the no . of sandwiches Jimmy eat in 1 hour , 2 hour and 3 hours .

Given : y = the no . of sandwiches Jimmy can eat

      x = no . of hours he take in eating

Relation : y = 8 x

( i ) No . of sandwiches eaten  by Jimmy in 1 hour

x = 1

y = ( 8 * 1 )

y = 8

( ii )   No . of sandwiches eaten  by Jimmy in 2 hours

x = 2

y = ( 8 * 2 )

y = 16

( iii ) No . of sandwiches eaten  by Jimmy in 3 hours

x = 3

y = ( 8 * 3 )

y = 24

Hence , Jimmy ate 8 , 16 , 24 sandwiches in 1 , 2 and 3 hours respectively .

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If f(1) = 3 and f(n) = f(n − 1) – 3 then the value of f(4) is -6.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A function is a type of rule that produces one output for a single input. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

Given,

Function:

f(1) = 3

f(n) = f(n - 1) -3

Let n = 2

f(2) = f(2-1) - 3

f(2) = 3 - 3

Relation:

f(2) = 0

Let n = 3

f(3) = f(3 -1) - 3

f(3) = 0 -3

f(3) = -3

Let n = 4

f(4) = f( 4 -1) - 3

f(4) = -3 -3

Value:

f(4) = -6

If f(1) = 3 and f(n) = f(n − 1) – 3 then the value of f(4) is -6.

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The number of people needed to carry the weight of 360 kg is 10 people.

The number of people are needed to carry the weight of 360kg can be calculated as follows ?

The first step is to put the demanded weight and the known weight of the required number of people into a formula which demanded weight is placed on numerator side and the known weight of the required number of people is placed on denominator side.

Formula

= [tex]\frac{360}{216}[/tex]

The next step is to multiply the number that has been entered into the fractional formula by the number of people who are known to be able to carry 216 kg

 =  [tex]\frac{360}{216}[/tex]  × 6

= 10

Hence, the number of people needed to carry the weight of 360 kg is 10 people.

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You would need 10 people to carry a weight of 360 kg.

To find out how many people are needed to carry a weight of 360 kg, we can set up a proportion based on the information provided.

Let's assume that x represents the number of people needed to carry the weight of 360 kg.

The proportion can be set up as follows:

6 people / 216 kg = x people / 360 kg

We can solve this proportion by cross-multiplying:

216 kg · x people = 6 people · 360 kg

216x = 2,160

Dividing both sides of the equation by 216:

x = 2,160 / 216

x = 10

Therefore, you would need 10 people to carry a weight of 360 kg.

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The probability that the athlete is either a football player or a basketball player is 93%.

What is probability?

Football players= 51%

Basketball players= 43%

Both football and basketball= 1%

Probability = Football players + Basketball players

- Both football and basketball

Probability= 51% + 43% -  1%

Probability= 93%

Inconclusion The probability that the athlete is either a football player or a basketball player is 93%.

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The graph A is correctly shows for the line s, line t, and point P.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The equation of line for s,

⇒ y = 1/3x - 3

And, The equation of line for t,

⇒ y = - x + 5

Now,

Solve the both equation of line for the solution as;

Since, The equation of line for s,

⇒ y = 1/3x - 3

And, The equation of line for t,

⇒ y = - x + 5

Equate both equation, we get;

⇒ 1/3x - 3 = - x + 5

⇒ 1/3x + x = 5 + 3

⇒ 4/3x = 8

⇒ x = 8 × 3 / 4

⇒ x = 2 × 3

⇒ x = 6

And, ⇒ y = - x + 5

⇒ y = - 6 + 5

⇒ y = - 1

Thus, The solution of the lines is;

Point P = (6, - 1)

Clearly, The graph A is correctly shows for the line s, line t, and point P.

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The answer is 1.79.

Division is breaking a number up into an equal number of parts.

Given that, 5.37 divided by 3

5.37÷3 = 1.79

Hence, 5.37 divided by 3 equals to 1.79.

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standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ 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}{(-1)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{4}) \implies y +1= 3 (x -4) \\\\\\ y+1=3x-12\implies y=3x-13\implies \underline{-3x+y=-13}\implies 3x-y=13[/tex]

now, notice, the equation should  have a positivized "x" term, however the material is suggesting "incorrectly" the one that's underlined.

2g³-5g²+6 is the equivalent expression of  (5g⁴+5g³-17g²+6g)-(3g⁴+6g³-7g²-12)/g+2

An expression is combination of variables, numbers and operators.

The given expression is (5g⁴+5g³-17g²+6g)-(3g⁴+6g³-7g²-12)/g+2

5g⁴+5g³-17g²+6g-3g⁴-6g³+7g²+12/g+2

2g⁴-g³-10g²+6g+12/g+2

Factorize the numerator

(g+2)(2g³-5g²+6)/g+2

g+2 in numerator and denominator will be cancelled.

2g³-5g²+6

Hence, 2g³-5g²+6 is the equivalent expression of  (5g⁴+5g³-17g²+6g)-(3g⁴+6g³-7g²-12)/g+2

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Answer:

4-1=3

5(4-1)    15

2(4)-2(1)   6

1-4    -3

Step-by-step explanation:

here you go...

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Answer:

Step-by-step explanation:

a) :x-y=3(a) 5(x-y) = 5×3 =15

:. 5(x-y)=15

b)  2x-2y = 2(x-y)

      2(3) =2*3=6

      :. 2x-2y=6

c) y-x = -(x-y)

     -(x-y) = -(3).

   :. y-x=-3

Answer:

below

Step-by-step explanation

If they EACH  sold 200 pieces

then Lou sold   200 x 20% = 200 x .20 = 40 rings which is 5 more than Jacob

The weight of Piglio is 3/2 times of weight of Whishkers.

Fraction is comparison between two mathematical numbers or quantities.

Given that, Whisker weights 2 2/3 kg

Piglio weights 4 kg

Weight of Piglio is fraction of weight of Whisker = 4/(2 2/3) = 4/(8/3) = (4*3)/8 = 3/2 times

The weight of Piglio is 3/2 times of weight of Whishkers.

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The value of x in the solution set of the inequality 9(2x+1) < 9x-18 is

x <-3.

Given inequality:

9(2x+1) < 9x-18

simplifying

9*2x + 9*1 < 9x - 18

18*x + 9 < 9x - 18

18x + 9 < 9x - 18

combining the like terms

18x - 9x + 9 < -18

9x + 9 < -18

combining the constants

9x < -18-9

9x < -27

divide by 9 on both sides

9x/9 < -27/9

x < -27/9

x < -3

Therefore the value of x in the solution set of the inequality 9(2x+1) < 9x-18 is x <-3.

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Answer:

Step-by-step explanation:

Rewritten equation using a common factor is (1) [tex]\frac{1}{4}xy(x^{2} +3y)[/tex].

Given equation,

[tex]\frac{1}{4}x^{3}y+\frac{3}{4}xy^{2}[/tex]

Taking  [tex]\frac{1}{4}xy[/tex]  common,

[tex]\frac{1}{4}xy(x^{2} +3y)[/tex]

Hence, the equation.

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