What is the formula for the sum of two whole numbers is 72. The difference is 48 what are the two numbers

The values of a and b are:

a = 5 + √7

b = 5 - √7

Given data

x2 − 10x + 26 = 8

Transform the equation to standard quadratic equation by equating to zero

x2 − 10x + 26 = 8

x2 − 10x + 26 - 8 = 0

x2 − 10x + 18 = 0

x2 − 10x + 18 + 5^2 - 5^2 = 0

x2 − 10x + 25 = 25 - 18

(x-5) (x-5) = 7

(x-5)^2 = 7

(x-5) = √7

x = 5 + √7

x = 5 - √7

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Answer:

Your initial inequality should be 5x < 30

Step-by-step explanation:

I saw it on a answer similar to yours but it said "have at least 10$ of your money left"

The statement that is made by Anita is not accurate.

We know that a statement can only be true if it could be proven beyond every reasonable doubt. If the statement can not be proven, then it is a mere assertion. It does not hold water empirically and it can not be the basis for argumentation. It is just a mere guess and may not in any way be thought to reflect the reality of the situation.

In this case, the statement that has been made by Anita is that a jar can hold 288 marbles. How accurate is Anita’s statement. This statement can not be backed by any kind of empirical proof because the marbles were not counted individually. The statement is at best probable and may not reflect the actuality of the situation.

Hence the statement that has been made by Anita is a mere guess and it does not reflect the actual number of the marbles that are found in the container.

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Based on the explanation that is provided below, Holly's conclusion is based on inductive reasoning.

Inductive reasoning can be described as reasoning whose conclusion is based on a pattern of observations.

On the other hand, deductive reasoning refers to reasoning whose conclusion is based on a fact.

As Holly notices that every Saturday, her neighbor mows his lawn, this shows a pattern of observations.

This, therefore, implies that Holly's conclusion is based on inductive reasoning.

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Answer:

The intercept is - 1.

Hope this helps :)

Step-by-step explanation:

In the function y = - x - 1 the initial value which is the y-intercept is - 1, and the line intercepted at -1 on the y-axis. Also, the line on the graph also intercepted at - 1 on the x-axis too. So the interceptes is - 1.

The simple interest rate on the account is 13%

Here Sunil deposited $400 for one and a half years, and the interest he gets is $78. He deposits in at the simple rate of interest.

We know that the simple interest formula is

     Simple interest = Principle × time × rate/ 100

It is given that,

            simple interest = $78

            time = 1 [tex]\frac{1}{2}[/tex] year = 3/2 year

            Principle = $400

Let the rate of interest be r

So we have

     78 =( 400 × 3/2 × r )/100

     r =( 78 × 2×100) / (400 × 3)

     r = 39%

Therefore the simple interest rate on the account is 13%.

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Answer:

something

Step-by-step explanation:

something

The equation of the line is x - 3y = 12 which is parallel to the line x - 3y = 3 and passes through (-3, -5).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation of the line is:

x - 3y = 3

Parallel to the above line:

x - 3y = c

Plug x = -3 and y = -5

-3 + 15 = c

c = 12

x - 3y = 12

Thus, the equation of the line is x - 3y = 12 which is parallel to the line x - 3y = 3 and passes through (-3, -5).

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According to the given statement the weight of each tire in pounds:

For 800 grams = 1.76 pounds.

For 700 grams = 1.54 pounds.

For dry substances, it's crucial to convert to weight. While most recipes

meant for home chefs express the components by volume, most recipes in industrial kitchens express essential ingredients by weight.

A conversion factor is indeed a number that is used to multiply or divide one set of units into another. If a conversion is necessary, it must be carried out with the right conversion factor to produce a value that is identical. That example in the case, when translating between inches and feet, 12 inches equals one foot.

800 grams must be converted to pounds.

(1 pound =453.592 x= 800)

800 must be divided by 453.592 to get the number 1.763699. To round it up: 1.76

We now repeat this for 700.

1,5432 when 700 is divided by 453.592. Rounding that down, we get: 1.54

The given statement the weight of each tire in pounds:

For 800 grams = 1.76 pounds.

For 700 grams = 1.54 pounds

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Final answer:

When two variables are correlated or associated, it does not necessarily follow that one of the variables is the root cause of the other. Correlation does not always indicate cause.

The link between variables is described by correlation. It can be characterized as strong or weak, as well as positively or negatively.

Positive correlation occurs when two variables change in the same direction. There are three fundamental forms of correlation. The two variables fluctuate in opposite directions when there is a negative correlation. No association or meaningful connection exists between the two variables, hence there is no correlation.

The correlation coefficient aids in determining how closely two variables are related in a single figure. Finding the crucial variables that other factors depend on and comprehending economic behavior are both facilitated by correlation analysis.

Explanation:

A correlation test determines whether two variables are related. Nevertheless, just because two variables are traveling together does not necessarily mean they are connected. This is why the phrase "correlation does not indicate causation" is used frequently.

As two factors are connected or related, it does not necessarily imply that one of the variables is the main cause of the other. Correlation not always show cause.

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Answer: It is -6

Step-by-step explanation:

1. Add 6:
n - 6 +6 = -12 +6

2. Simplify and complete:
n = -6

Answer:

the answer is simple you just p times a

and d

Step-by-step explanation:

:]

Answer:

hope this help you

Step-by-step explanation:

p times x and d

Answer:

Y-intercept is -1

Step-by-step explanation:

Slope-intercept form:

y=mx+b

b=y-intercept

m=slope

y=3x-1

b=-1

Hope this helps!

Please mark as brainliest if correct!

The inequalities are matched with their correct graph respectively as follows:

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.

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Complete Question:

Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)

1. A = {(x, y): y > x^2}

2. B = {(x, y): y ≥ x^2+ 3}

3. C = {(x, y): y ≤ 3x^2 + 2}

4. D = {(x, y): y ≥ 2x^2- 5x + 1}

6. x^2- 3x ≥ 0

7. x^2- 3x + 2 ≤ 0

8. {(x, y): y ≤ 1 - x^2}

9. {(x, y): y ≥ -1}

Answer:

$459.47

Hope this helps!

The three consecutive numbers are 58, 59 and 60.

Consecutive numbers are the numbers that follow each other continuously in a sequence from smallest number to largest number.

Let the first number = x

Let the second number = y

And Let the third number = z

As given in the question that the sum of the first and third number is 118, So we can write mathematically as

x + z = 118

The first and third numbers  are 58 and 60 and their sum is 118.

The second number automatically will be 59.

So, the three consecutive numbers are 58, 59 and 60.

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Answer:

24

Step-by-step explanation:

4 x 6 = 24

Answer: 24c

Step-by-step explanation:

c = cost

6x4=24

24 times the amount it costs per hour c

24c

Answer:

O Scatterplot C

Step-by-step explanation:

Sales Revenue

(Millions of $)

1.5

4

6

8

10

11

Customer Satisfaction

(Scale: 1-100)

78

75

62

50

35

15

Examine the scatterplots provided in this graphic.

Which one correctly displays these data?

By evaluating in x = 8 we can see that the value of g(8) is 45.

Here we have the function:

g(x) = (1/3)*(2x - 1)^2

We want to get the value of g(8), this means that we need to evaluate the function in x = 8.

To do this, we just need to replace the variable "x" in the equation by the number 8.

We will get:

g(8) = (1/3)*(2*8 - 1)^2 = (1/3)*(15)^2 = 3*15 = 45

g(8) = 45

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Answer:

145 I think

Step-by-step explanation:

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We get the value of f ( - 1 ) as - 5 for the function f (x) = x + 4 x³.

We are given a function:

f (x) = x + 4 x³

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

We need to find the value of f ( - 1 )

We will do this by substituting the value of x as - 1

Put x = -1, we get that:

f ( x = -1 ) = ( - 1 ) + 4 ( - 1 )³

f ( - 1 ) = - 1  + 4 ( - 1 )

f ( - 1 ) = - 1 - 4

Simplifying the function:

f ( - 1 ) = - 5

Therefore, we get the value of f ( - 1 ) as - 5 for the function f (x) = x + 4 x³.

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A = { 0,6,7} is the complement of the set given.

What is the set in math?

What is sets and its types?

Given  U = { 0,1 , 2 , 3, 4,5,6,7 }

Let set  A  = { x/x < 6  and  x ∈ NI}

   A = { 1,2,3 ,4,5}

∴ AC = Complement of A = { 0,6,7}

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Answer:

(4r - 3)(r + 1)(r - 1)

Step-by-step explanation:

In order to factor the polynomial [tex]\sf 4r^3 - 3r^2 - 4r + 3[/tex], we can use various factoring methods.
In this case, we can use grouping.

Let's break down the expression and factor it step by step:

Group the terms in pairs:

(4r^3 - 3r^2) +(-4r + 3)

Factor out the greatest common factor from each group:

[tex]\sf r^2(4r - 3) - 1(4r - 3)[/tex]

Notice that both groups have a common factor of (4r - 3): and keeping remaining in bracket

[tex]\sf (4r -3)(r^2-1)[/tex]

Now, the expression r² - 1 can be factored further using the difference of squares:

(r + 1)(r - 1)

So, the fully factored form of the polynomial 4r³ - 3r² - 4r + 3 is:

(4r - 3)(r + 1)(r - 1)

Existence and value - Are the accounts for the AR really there, and can they be collected.

Money owed to a business in the near future is represented by the asset account known as accounts receivable on the balance sheet. When a business permits a customer to pay for its products or services on credit, accounts receivable are generated. Similar to accounts receivable, accounts payable tracks money that is due as opposed to money that will be collected. The ratio of accounts receivable to sales outstanding or days sales outstanding can be used to determine how strong an organization's AR is. To determine when the AR will really be received, a turnover ratio study might be performed.

Existence is an audit affirmation that the auditor must examine to ensure that all accounts receivable are present.

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Answer:

8

Step-by-step explanation:

You times 4 by 4 since it's squared =16

You have to times 2 by 2 by 2 like this=8

2x2=4 4x2=8

then subtract them= 16-8= 8
put it over the line where 4 and 2 were

after you subtract 5 and 3= 2

than times 2 by the squared= 2x2= 4

times the 2 with 4= 8

put the 8 under the line so you can divide it

8 divided by 8 is 1

lastly, add 7 and 1= 8

=8

the answer is eight

four squared is 16 and two cubed is eight so sixteen minus eight is eight then five minus three is two then you would figure out what 2 squared us and its four so two times four is eight so the first part is eight over eight which is one and one plus seven in eight

The numeric values of the functions are given as follows:

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the functions are given as follows:

At x = -1, the values are given as follows:

Hence:

At x = 2, the values are given as follows:

Hence:

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She makes 12 earrings and 8 bracelets of each type of jewelry. (option 3 is correct.)

Jenny sells earrings and bracelets on Etsy

The cost of a pair of earrings = $5

The cost of bracelets = $12.

If Jenny made 20 pieces on Saturday for the cost of $156.

Each type of jewelry made by Jenny is

Let she made X pair of earrings

Y  number of bracelet

Then the linear equation will be

$5X +$12Y = $156

by using the given values in option we get the answer

X = 12

Y = 8

She makes 12 earrings and 8 bracelets of each type of jewelry. (option 3 is correct.)

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Solve for [tex]z=f(x,y)[/tex] in the plane equation.

[tex]4x + 5y + z = 7 \implies f(x,y) = z = 7 - 4x - 5y[/tex]

Let [tex]E[/tex] be the set of points in the plane [tex]z=0[/tex] bounded by the ellipse [tex]\frac{x^2}{25}+\frac{y^2}{100}=1[/tex], i.e.

[tex]E = \left\{(x,y) ~:~ \dfrac{x^2}{25} + \dfrac{y^2}{100} \le 1\right\}[/tex]

Then the area of the plane bounded by the elliptic cylinder is

[tex]\displaystyle \iint_E dA = \iint_E \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\frac{\partial f}{\partial y}\right)^2} \, dx \, dy \\\\ ~~~~~~~~ = \iint_E \sqrt{1 + (-4)^2 + (-5)^2} \, dx\, dy \\\\ ~~~~~~~~ = \sqrt{42} \iint_E dx \, dy[/tex]

which is simply √42 times the area of the ellipse in the plane [tex]z=0[/tex]. This ellipse has a minor axis of length 5 and a major axis of length 10, so its area is π•5•10 = 50π, and so the area of the plane in question is 50√42 π.

To confirm this result: In polar coordinates, with

[tex]\begin{cases}x(r,\theta) = 5r\cos(\theta) \\ y(r,\theta) = 10r\sin(\theta) \\ \frac{x^2}{25}+\frac{y^2}{100}=r^2\end{cases}[/tex]

the area element is

[tex]dA = \begin{vmatrix}\frac{\partial x}{\partial r}&\frac{\partial x}{\partial\theta} \\ \frac{\partial y}{\partial r} & \frac{\partial x}{\partial\theta}\end{vmatrix} \, dr \, d\theta \\\\ ~~~~~~~~ = \begin{vmatrix}5\cos(\theta)&-5r\sin(\theta)\\10\sin(\theta)&10r\cos(\theta)\end{vmatrix} \, dr \, d\theta \\\\ ~~~~~~~~ = \left(50r\cos^2(\theta)+50r\sin^2(\theta)\right)\,dr\,d\theta \\\\ ~~~~~~~~ = 50r \, dr \, d\theta[/tex]

The ellipse can be parameterized by

[tex]E = \left\{(r,\theta) ~:~ 0\le\theta\le2\pi \text{ and } 0\le r\le1\right\}[/tex]

so that the integral for the area of the ellipse in the plane [tex]z=0[/tex] is

[tex]\displaystyle \iint_E dA = \int_0^{2\pi} \int_0^1 50r \, dr \, d\theta \\\\ ~~~~~~~~ = 100\pi \int_0^1 r \, dr \\\\ ~~~~~~~~ = 100\pi\left(\frac12-0\right) = 50\pi[/tex]

Step-by-step explanation:

1/4, 1/8, 1/16. :)

You're welcome :)