7.78, 7.8, 6.969, 7.7081 order these numbers from least to greatest

The polynomial, f(x) expressed as a product of linear factors is; f(x) =(-5/2 + √ 5) and (-5/2 - √ 5)

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

Given that ;

[tex]p(A) = 2x^3 - 3x^2 + 10x + 6[/tex]

[tex]P(a)= (2x^3 - 3x^2) + (10x + 6)[/tex]

therefore need to further factorise the quadratic expression (x² + 5x +3) using the quadratic formula;

Quadratic formula;

x = {-b ± √(b² +4ac)}/2a

where; a = 1, b = 5, c = 3.

Therefore; x = -5/2 + √ 5or x = -5/2 - √ 5

Therefore, the other factors are:

(-5/2 + √ 5) and (-5/2 - √ 5)

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Answer: 16\/729

Step-by-step explanation:

Answer:

six raised to the fourth power divided by three raised to the tenth power

Step-by-step explanation:

(6^−2 • 3^5)^−2 = 6^(-2*-2) * 3^(5*-2) = 6^4 * 3^(-10) = 6^4 / 3^10

The equation to show the net effect of these transactions is x - 45 + 150.

The equation is x + 105.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the customer withdrew $45 from a bank account and the customer then deposited $150 into the bank account the next day.

Let the initial amount in the account be x. The amount after the transaction will be:

= x - 45 + 150

= x + 105

The equation is x + 105.

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Answer:

u should ask a teacher

Step-by-step explanation:

they wouldn't get mad but happy asked

7v + 12b = 640

12v + 6b = 456

Multiply the bottom equation by -2 in order to cancel out 12b with 6b.

7v + 12b = 640

- 24v -12b = -912

-17v = -272

17v = 272

v = 272/17

v = 16 students

If we use this: 7v + 12b = 640 ;then:

7(16) +12b = 640

112 +12b = 640

12b = 640 -112

12b = 528

b = 528/12

b = 44 students

So the number of students in each van is 16, and number of students in each bus is 44.

The inverse of the given function is (f^-1)(x) = (1/2)×(√x  - 1) for x ≥ 0.

We are given a function f(x). The function f(x) is defined as (2x + 1)². The domain of the given function f(x) is x ≥ -1/2. We need to find the inverse of the function f(x).

Let us suppose that the function f(x) is represented by the variable "y".

y = f(x)

y = (2x + 1)²

Now we will take the square root on both sides of the equation.

√y = √[(2x + 1)²]

When we cancel out the even powers, we need to take the absolute value using modulus.

√y = |2x + 1|

We already know that x ≥ -1/2, so, modulus will open with a positive sign.

√y = +(2x + 1)

√y = 2x + 1

√y  - 1 = 2x

x = (1/2)×(√y  - 1)

At last, we replace the variables y and x by x and (f^-1)(x).

(f^-1)(x) = (1/2)×(√x  - 1) for x ≥ 0

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To determine what satisfying assumptions 1-3 would mean by considering the variable under consideration.

The regression-inference Assumptions 1-3 must be satisfied if β°, β¹ and σ are constants, which ensures the x dimensions and price of every custom home to be normal, with β° + β¹ and a σ standard deviation.

The residuals should not be linear if the normal probability plot is followed.

In the diagram above, the assumptions for regression inferences appear to be unsatisfactory.

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slope = m = (8 - (-6)) / (8 - 6) = 7

y = mx + b

y = 2x + b

plug in (8, 8) to find b

8 = 2(8) + b

b = -8

y = 2x - 8

Answer:

Step-by-step explanation:

1. Find definition of range: the difference between the highest and lowest values.

Highest value:100

Lowest Value 75

2. Caculate:

100-75=

25 is the range

Answer: 25 is range

Answer:

range is 25.

ffd

Step-by-step explanation:

.... yyyy

Answer:

3 cars

Step-by-step explanation:

We know this because 15 3/4 is the same as 63in and 3 5/8 is the same as 21. So we divide 63÷21=3

Answer:

x= 134 ± 2

Step-by-step explanation:

The ± symbol is used to mark the range of values that should be expected from the first number, 134.

Answer:

221

Step-by-step explanation:Order of operations

Answer:

0.3144654088

Step-by-step explanation:

6/19.08=0.3144654088

Answer: X'=

(7,-4)

Step-by-step explanation: We have the rule (x+3,y-5) so using the given coordinates (4, 1), we can find the answer by doing this => (4+3,1-5)=(7,-4)

The fraction -(13/10) × 6 is equal to the mixed fraction -7 whole number 4 divided by 5.

From the given fracion;

-(13/10) × 6 = -[13/(2×5)] ×2 × 3

we divide the common factor 2 for 10 and 6

-(13/10) × 6 = -(13/5) × 3

multiply the numerators

-(13/10) × 6 = (-13×3)/5

-(13/10) × 6 = -39/5

divide -39 by 5

-(13/10) × 6 = -7 whole number, 4/5 in mixed fraction

Therefore, the mixed fraction for -(13/10) × 6 is -7 4/5.

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The domain includes all real numbers, and the range is y > 0

What are domain and range?

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range. In general, a function's domain and range are denoted as follows: Range(f) = f(x): x domain(f) and domain(f) = f(x): x R

Domain: The domain is the set of all possible x-values.

Range: The range of a function is the complete set of all possible resulting values of the dependent variable y.

We can see from the graph, x values include all real numbers and range ( y values greater than 0 because the graph line does not intersect at 0.

we know that

The domain of the function of the graph is the interval (-∞,∞)

That means the domain is all real numbers.

The range of the function of the graph is the interval is (0,∞)

That means the domain is all real numbers greater than zero.

So, Option d is correct.

Therefore,

The domain includes all real numbers, and the range is y > 0.

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If the dimensions of a right rectangular prism are (8)/(5)cm,(10)/(3)cm, and (7)/(4)cm. Then volume of the prism is 401/60 cm³

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases

The dimensions of a right rectangular prism are width is 8/5 cm, Length is 10/3cm and Height is 7/4cm

Volume=Width×Height×Length

=8/5×10/3×7/4

=96+200+105/60

=401/60 cm³

Hence volume of the right rectangular prism is 401/60 cm³

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(4n+1)^2 = 16n^2 + 8n + 1

(16n^2 + 8n + 1) - (2n - 1) = 16n^2 + 6n + 2

this means that it must always be an even number because the positive integer n is multiplied by an even number. and then it is added by 2, which will keep it even. should be right

The growth rates in 1950, 1988 and 2010 are 13.9%, 23.4 and 29.8% respectively

The function of the growth rate equation is given as:

y = -0.0000081x^3+0.00267x^2+8.231

Rewrite properly

So, we have

y = -0.0000081x³ + 0.00267x² + 8.231

From the question, we have

x represents the number of years after 1900

In 1950, x = 50

So, we have

Growth rate in 1950, y = -0.0000081 x 50³ + 0.00267 x 50² + 8.231

Growth rate in 1950, y = 13.9

In 1988, x = 88

So, we have

Growth rate in 1988, y = -0.0000081 x 88³ + 0.00267 x 88² + 8.231

Growth rate in 1988, y = 23.4

In 2010, x = 110

So, we have

Growth rate in 2010, y = -0.0000081 x 110³ + 0.00267 x 110² + 8.231

Growth rate in 2010, y = 29.8

Hence, the growth rate in 2010 is 29.8%

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Answer:

2/3

Step-by-step explanation:

Since 6 *6 = 36 , the square root of 36 is 6

In other words:

[tex]\sqrt{36} \\= 6\\[/tex]

Since 9*9 = 81, the square root of 81 is 9

[tex]\\\/\sqrt{81}\\ = 9[/tex]

Now we have the fraction [tex]\frac{6}{9}[/tex]

Now we reduce [tex]\frac{6}{9}[/tex] to lowest terms:

[tex]\frac{6}{9 } = \frac{2}{3}[/tex]

Therefore, the answer is  [tex]\frac{2}{3}[/tex]

Hope this helps :)

Answer:

100%

Step-by-step explanation:

If all 27 votes for hunger relief, that would be 100% or all of them.

The price of one sweater - x

The price of one shirt - y

From what the problem states, we can assume:

x + 4y = 55

4x + 5y = 110

Multiply both sides of x +4y = 55 by four. This results in 4x + 16y = 220. We then subtract 16y on both sides, resulting in 4x = 220 - 16y. We then insert this into the other equation, which, as a reminder, is 4x + 5y = 110. We replace 4x with 220 - 16y, which results in 220 - 16y + 5y = 110. Now, we can solve it.

Now that we have found out the value of y, we can replace all instances of y in the first equation.

The values of x and y will be 10 and 4 respectively, using congruent of the triangle.

What is congruent of the triangle?

The shapes maintain their equality regardless of how they are turned, flipped, or rotated before being cut out and stacked. We'll see that they'll be placed entirely on top of one another and will superimpose one another. Due to their identical radius and ability to be positioned directly on top of one another, the following circles are considered to be congruent.

Any two figures can be perfectly positioned over one another to demonstrate their congruence. The relationship between two figures that are said to be congruent is described using the word "congruence."

Here, ΔRWS ≅ ΔTUV

Here 2y + 10 = 30

2y = 30-10

y=20/2

y=10.

Agian ∠R = ∠T

Here ∠T = 90 -32 =58°

So 8x+26 = 58°

8x = 58-26

x = 32/8

x = 4.

Hence the values of x and y will be 10 and 4 respectively.

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The percent change from the old model to the new model estimation of a 5-year old dog's age is 41.66%  .

The traditional model involved multiplying the dog's age with seven to calculate their age in human years. for example if the age of dog is 3 years , so in human years he/she will be 3x7 = 21 years old in human years.

Here we calculate the age of 5-years old dog in human years. So we multiply the 5 with 7 and get the answer as 35 years .

As per the new convention 5-years old dos's age is nearly equal to 60 in human years.

So the difference in age in both the methods is

age difference = 60 - 35

                          =  25

So the percent change in age = (25/60) x 100

                                                  = 41.66 %

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Answer:

Step-by-step explanation:

To plot

(

−

4

,

−

3

)

, start at the origin

(

0

,

0

)

and move left

4

units and down

3

units.

(

−

4

,

−

3

)

Yes, it indicates that the number of single people under the age of 25 is higher than the national percentage reported by the large insurance company, according to the calculated z-score.

here the sample size is = 25(n), therefore sample proportion will be, p⁰= 41/25 =0.774 .since the  null  hypothesis is  :H₀:p =0.68 and the alternative hypothesis  is  :H₁:p>0.68 .The  z-test  is :

Z=p⁰−p/ √(p(1-p)/n

  = 0.774-0.68/root(0.68(1-0.68)/52

    =1.453

The p-value for  the z score = 1.453 is 0.0731.Here the P-value is greater than the 5% level of significance. We come up short to dismiss the null hypothesis at the 5% level of significance. it can be concluded that the number of single individuals under the age of 25 is higher than the national percentage detailed by the large insurance company.

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The y-intercept in the equation is 10. This is the initial height of the flower.

An exponential equation can be described as an equation with exponents. The exponent is usually a variable. When an exponential function is drawn on a coordinate graph, it is usually nonlinear because the slope is not constant.

The general form of exponential equation is f(x) = [tex]e^{x}[/tex]

Where:

The y-intercept of an exponential function is the value of y when x is zero. It is the point where the graph intersects the y-axis. The y-intercept represents the initial height of the flower.

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Answer:

36 = 2x + y

x = y

x = 12

y = 12

Step-by-step explanation:

Answer:A=12 C=24

Step-by-step explanation:

there are 3 shares[2x and theunknown]

36=3shares so 1 share=36divided by3=12

ad=12

ch=12x2=24

12+24=36