This diagram is a scale drawing of a store. To the nearest 50 square feet, what is the area of the actual store

The value of all the real zeros of the quadratic function are,

⇒ x = - 2.83

⇒ x = - 0.175

We have to given that;

A quadratic equation is,

⇒ f (x) = - 2x² - 6x - 1

Now, We can apply the quadratic formula as;

⇒ f (x) = - 2x² - 6x - 1

⇒ x = - (- 6) ± √(-6)² - 4×- 2×- 1 / 2×-2

⇒ x = (6 ± √36 - 8) / - 4

⇒ x = - (6 ± √28)/4

⇒ x = - (6 ± 5.3) / 4

This gives,

⇒ x = - (6 + 5.3) / 4

⇒ x = - 11.3/4

⇒ x = - 2.83

⇒ x = - (6 - 5.3) / 4

⇒ x = - 0.7 / 4

⇒ x = - 0.175

Thus, The value of all the real zeros of the quadratic function are,

⇒ x = - 2.83

⇒ x = - 0.175

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Answer:theyre the same

Step-by-step explanation:

Answer:

No, they are equal try multiplying the denominator and numerator by 2.

Step-by-step explanation:

Multiply Top and bottom number by two for 4/5

Answer:

1.33317792381

Step-by-step explanation:

Answer:

73.3 feet per second is the answer

Answer:

Step-by-step explanation:

12x6 = 72

So 40x2

72 pies she needs 80

So awnser is no she needs 2 more boxes

Answer:

Yes, 36+ 64 = 100

So bottom right answer

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

Answer:

580

Step-by-step explanation:

"128 less than a number is 452" is represented by:

n - 128 = 452

Solve for 'n':

n - 128 + 128 = 452 + 128 (Addition Property of Equality)

n = 580

The value of 2*(3*5) = 68.

The value of (2*3)*5 = 68.

What is multiplication?

A mathematical formula that specifies the objects to be multiplied, known as a factor, produces a product. For instance, the product of 6 and 5 is 30.

Given: The operation * is defined as,

a*b = a + b - 2ab

We have to find the value of 2*(3*5) and (2*3)*5

First to find the value of 2*(3*5).

2*(3*5) = 2*(3 + 5 - 30) = 2*(-22) = 2 + (-22) - 2(-22)(2) = 68.

Now to find the value of (2*3)*5.

(2*3)*5 = (2 + 3 - 12)*5 = -7*5 = (-7) + 5 - 2(-7)(5) = -2 + 70 = 68.

Therefore, 2* (3*5) = 68 and (2*3)*5 = 68.

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Answer:

To divide 3 3/10 by 1 4/7, we first need to convert both mixed numbers into improper fractions.

3 3/10 can be written as (3 x 10 + 3)/10 = 33/10

1 4/7 can be written as (1 x 7 + 4)/7 = 11/7

Now, we can rewrite the division problem as:

33/10 ÷ 11/7

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:

33/10 x 7/11 = (33 x 7)/(10 x 11) = 231/110

This fraction can be simplified to lowest terms by dividing both the numerator and denominator by their greatest common factor, which is 11:

231/110 ÷ 11/11 = (231 ÷ 11)/(110 ÷ 11) = 21/10

Therefore, the quotient of 3 3/10 ÷ 1 4/7 in lowest terms is equal to 21/10.

Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

Answer:

a

Step-by-step explanation:

divide whole equation by 4m

m^3 + 9m^2 + 24m+20

and then factor out (m+5)

4m(m+5)(m^2+4m+4)

end with 4m(m+5)(m+2)(m+2)

or 4m(m+5)(m+2)^2

or (m^2+5m)(2m+4)^2

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

unlock code is 11

A= 27

B=16

C=1

(11)^1 = 11

Step-by-step explanation:

Answer:

by multiplying or dividing

Step-by-step explanation:

Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.

Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equation of the line is y = (3/2)x + 1.

To find the y-intercept of the line, substitute x = 0 into the given equation,

y = (3/2)(0) + 1

y = 1

Note that the y-intercept of the graph of the line is also 1.

The graph of the line passes through points (2,4).

To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:

4 = (3/2)(2) + 1

4 =4

The equation is true.

Hence, it can be said that the given equation represents the graph of the line.

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Answer:

Step-by-step explanation:

We can write the information as equations. We will use variables x and y to find the two numbers

Equation 1: The sum of two numbers is 526

x + y = 526

Equation 2: The difference is 176

x - y = 176

With two variables and two equations, we can first find one variable by elimination:

(See image)

and then substitute y into either equation to find x:

(See image)

Answer:

c StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 5 EndFraction

Step-by-step explanation:

Answer:

Step-by-step explanation:

C. \(\sqrt[3]{100}\)x/5

Hello !

Answer :

Explanation :

\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)

\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)

\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)

Have a nice day ;)

The equation when Nicole charges a flat fee of $3, plus $5 per hour is c = 3 + 5h.

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

Let the number of hours be given as h.

Since Nicole charges a flat fee of $3, plus $5 per hour, this will be:

c = 3 + (5 × h)

c = 3 + 5h

where c = total cost

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Answer:

The average speed of the 747 was of 600 miles per hour.

Step-by-step explanation:

A small airplane flies 750 miles with an average speed of 250 miles per hour.

Velocity is distance divided by time, and here, we find the time of the small airplane. So

\(v = \frac{d}{t}\)

\(250 = \frac{750}{t}\)

\(250t = 750\)

\(t = \frac{750}{250}\)

\(t = 3\)

1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time;

This means that it traveled 750 miles in 3 - 1.75 = 1.25 hours.

What was the average speed of the 747?

\(v = \frac{d}{t} = \frac{750}{1.25} = 600\)

The average speed of the 747 was of 600 miles per hour.

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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The number that has a 4 in the hundred places.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A 4 with a value ten times less than the 4 in the number 123,469.

First, the value of the 4 in the number 123,469 can be found by separating each digit as:

123,469 = 100,000 + 20,000 + 3,000 + 400 + 60 + 9

Then the value of the 4 is 400.

Now we want a number that has a 4 with a value then times less than 400. Then we have

400/10 = 40

Then we want a number that has a 4 in the hundred places.

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The amount received from loans as a number in millions is 242,700 million rand.

Deducing value A requires computation of collective income sources, for which the following summation suffices:

Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A

In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.

Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:

Total Income - Total Expenditure = B

(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B

Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.

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The test scores 78,90,94,72,80,68,72,88,94,98,86,96 for students in Mr.Garcia's study group arranged as box-whisker-plot in option D is the correct form.

What is box-whisker-plot?

It is a type of data representation which is also known as box plot. It shows the main 5 pointed data which includes maximum value of given data, minimum value of the given data, median of the data, upper quartile and the lower quartile. The upper and lower extremes are indicated using end point of the lines. The box indicates the inter quartile range and the whisker inside the box indicates the median of the data.

The observations given are:78,90,94,72,80,68,72,88,94,98,86,96

On arranging the data in ascending order, we get:

68, 72, 72, 78, 80, 86, 88, 90, 94, 94, 96, and 98

As the number of observations are even, the median will be the average of \(\frac{N}{2} and \frac{N}{2}+1\) terms{where N=number of observations}

Median= mean of \(\frac{12}{2} and \frac{12}{2} + 1\) terms

           =mean of 6th and 7th term of the sequence

           =mean of 86 and 88   {6th term=86 and 7th term=88}

Median =87

First quartile Q1: Median of all terms before median{68, 72, 72, 78, 80, 86}

Quartile 1= mean of 3rd and 4th term { \(\frac{N}{2} and \frac{N}{2}+1\) }

               =mean of 72 and 78  {3rd term=72 and 4th term=78}

               =75

Quartile 3=Median of all terms after median{88, 90, 94, 94, 96, 98}

Quartile 3= median of terms {88, 90, 94, 94, 96, 98}

               = mean of 3rd and 4th term { \(\frac{N}{2} and \frac{N}{2}+1\) }

               =mean of 94 and 94  {3rd term=94 and 4th term=94}

               =94

Inter quartile range=quartile 3 - quartile1

                               =94 - 75

                                =19

The 5 points to check the correct box-whisker-plot are:

Minimum observation=68

Lower quartile=75

Median=87

Upper quartile=94

Maximum observation=98

The correct option is D.

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Refer to the figure attached below for options.

The situations that have a net result of zero are:

The first situation results in a debt of $3 and then payment of $3, which cancels out the debt.

The second situation involves combining three atoms with a total charge of zero (2 atoms with a charge of negative 2, and 1 atom with a charge of positive 4).

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Answer:

The miles travelled is the independent variable.

The cost is the dependent variable.

Step-by-step explanation:

hope this helps ;)