(4y - 15) 7y + x = 180

The greatest integer function, shown below, is defended so that it produces the greatest integer less than or equal to x

This is further explained below.

A natural number that is either positive or negative, expressed as an integer, or the number zero itself are all examples of integers.

The additive inverses of the positive numbers that they relate to are represented by the negative numbers.

In conclusion, The biggest integer function, which is shown down below, is validated in such a way that it generates the greatest integer that is less than or equal to x.

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CQ

The greatest integer function shown below, is defined so that it produces the gretest integer__ or equal to x. f(x)=[ [x] ]

Answer:

x = 1/2 or 0.5, y = 1

Step-by-step explanation:

it just means a system of equations.

-4x + 3y = 1

6x - y = 2

let's multiply the second equation by 3 and add both resulting equations :

-4x + 3y = 1

18x - 3y = 6

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

14x 0 = 7

14x = 7

x = 7/14 = 1/2 = 0.5

6x - y = 2

6×1/2 - y = 2

3 - y = 2

-y = -1

y = 1

We cannot write vertical lines in the format y = mx+b

This is because the slope of any vertical line is undefined.

The equation of this red line is x = 5. All points on this line have the same x coordinate of 5. Two such points being (5,0) and (5,1)

Answer:

a) 512cm³    b) 2 × 2 ×2

Step-by-step explanation:

A CUBE'S LENGTH WIDTH AND HEIGHT ARE EQUAL

a) Volume of a cube = length × width × height

as the length width and height are equal so it will be

8 × 8 × 8 = 512

b) Volume of a cube = length × width × height

as length, width and height are equal lets suppose the value of each of them will be = x

volume = x × x × x

vol = x³

8 = x³

∛8 = x

x = 2

Refer to the image for the graph of the lines.

The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.

We need to draw any line with a slope m = 2, and

another line with a slope m = -2.

Disclaimer: Let us assume that the constant c = 0.

Then the equation to the line with a slope of "positive" 2 is given by

y = 2x

Then the equation to the line with a slope of "negative" 2 is given by

y = -2x

Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.

f: green line indicates a line with a slope of "positive" 2.

g: blue line indicates a line with a slope of "negative" 2.

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Answer:

=0.0000541

Step-by-step explanation:

[tex]\frac{0.00541}{10^2}[/tex]
[tex]\frac{0.00541}{100}[/tex]
[tex]=0.0000541[/tex]

Answer:0.0000541

Step-by-step explanation:

Firstly, you'll simplify 10².

10²÷0.00541 ---> 100 ÷ 0.00541

Then, you'll divide 100 by 0.00541.

100 ÷ 0.00541 ---> 18484.2883549

Area = 70,6.5 inch² long is the ribbon if the mirror has a 15 inch radius .

What area is a circle?

A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.

Describe Area -

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Tiffany buys a circular mirror.

r = 15 inch

long is the ribbon if the mirror has = πr²

                                                        = 3.14 × 15 × 15

                                                        = 70,6.5 inch²

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The given problem has 4 different solutions as below.

Given that the product of the two numbers is -100.

And one of the factors is less than 10 and more than 0.

Assume c and d are the two required numbers.

Then we have cd = -100, here 0 < c <10.

We know that the factors of 100, which are less than 10 and greater than 0 are 1, 2, 4, and 5.

When c = 1, we get 1 x d = -100 ⇒ d = -100

When c = 2, we get 2 x d = -100 ⇒ d = -100/2 = -50

When c = 4, we get 4 x d = -100 ⇒ d = -100/4 = -25

When c = 5, we get 5 x d = -100 ⇒ d = -100/5 = -20

So, the other factors corresponding to the above factors are -100, -50, -25, and -20.

Therefore, the given problem has 4 different solutions as below.

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Answer:

11/20

Step-by-step explanation:

this fraction is simplified as much as possible and no longer can be simplified. 11/20 is in its simplest form

hope this helps!

Answer:

Step-by-step explanation:

y  < 19

hope this helps :)

4 cm  is the height of the parallelogram.

What in mathematics is a parallelogram?

The area is always given by squared units and never by single units!

The area of a parallelogram is given by the equation

A = b * h

             b is the base length of the parallelogram

             h is the height of the parallelogram

And so, plugging in our given values, we get

24cm² = 6 cm . h

h = 24 cm/6cm

h = 4 cm

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The complete question is -

The area of a parallelogram is 24 centimeters and the base of the parallelogram is 6 centimeters. What is the height of the parallelogram?

Answer: When students register online, the question appears in a pop-up window that must be answered in order to proceed with registering. If students register in person, make them answer the question before their registration is processed.

Step-by-step explanation:

Answer: we have to divide a

This should be done by using a long division method.

multiply x+1 by

Therefore the quotient is

The remainder is 0

Step-by-step explanation: hope this helps

Answer:

2x^3-7x/2 -1

Step-by-step explanation

Let me know if this is an option. I was unsure if the x was the letter x or the multiplication symbol. Thanks, let me know

Answer:

[tex](-4,-\frac{1}{2})[/tex]

Step-by-step explanation:

The midpoint of a line segment can be found using the midpoint formula below:

[tex]\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}[/tex]

Note that [tex](x_1,y_1)[/tex] is the 1st coordinate and [tex](x_2,y_2)[/tex] is the 2nd coordinate of the end points.

Let's identify the coordinates of the two end points, A and B.

On both axes, a square represents 1 unit.

A(-5, -4) and B(-3, 3)

Applying the midpoint formula,

midpoint

= [tex](\frac{-5-3}{2} ,\frac{-4+3}{2} )[/tex]

= [tex](\frac{-8}{2},\frac{-1}{2} )[/tex]

= [tex]\bf{(-4,-\frac{1}{2}) }[/tex]

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Abby has 36.4 kg rice at first.

Here,

Abby and Brenda had total 190.4 kg rice.

After Abby gave Brenda 64.5kg rice, Brenda had 6 times as much as Abby.

We have to find amount of rice at first.

What is Total amount?

A total is whole or complete amount, and to total is to add numbers or to destroy something.

Now,

Abby and Brenda had total 190.4 kg rice.

Let amount of rice Abby has = x kg

Let amount of rice Brenda has = y kg

x + y = 190.4 kg .....(i)

Abby gave Brenda 64.5kg rice, Brenda had 6 times as much as Abby.

64.5 + y =  6x

6x - y = 64.5 .....(ii)

From equation (i) and (ii) we get;

x = 36.4

Hence, Abby has 36.4 kg rice at first.

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Total assets is $20,120; total liabilities is $3,384; net worth is $16,7366; total cash inflows is $3,804; and total cash outflows is $3,920.

Total assets = Cash in checking account + Savings account balance + Current value of automobile + Household possessions + Stereo equipment + Home computer + Value of stock investment = $1,340 + $2,770 + $8,020 + $3,510 + $3,320 + $1,160 = $20,120

Total liabilities = Balance of educational loan + Credit card balance = $3,050 + $334 = $3,384

Net worth = Total assets - Total liabilities = $20,120 - $3,384 = $16,736

Cash outflows = Rent for the month + Spending for food + Telephone bill paid for month + Loan pyment + Auto insurance + Payment for electricity  + Lunches/parking at work + Donations + Clothing purchase + Restaurant spending = $1,390 + $1,110 + $85 + $143 + $321 + $189 + $204 + $139 + $223 = $3,804

Cash inflows = Monthly take-home salary = $3,920

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The probability that one green and one yellow is selected (without replacement) is 3/7.

What are examples and probability?

Probability that one green and one yellow is selected (without replacement).

Since the cellphone is not replaced, the probability is calculated as follows

Pr = [tex]\frac{G}{n} * \frac{Y}{n - 1 } + \frac{Y}{n} * \frac{G}{n- 1}[/tex]  The subtraction means the cellphones are not replaced

This gives

[tex]Pr = \frac{6}{8} * \frac{2}{8 - 1} + \frac{2}{8} * \frac{6}{8 - 1}[/tex]

[tex]Pr = \frac{3}{4} * \frac{2}{7} + \frac{1}{4} * \frac{6}{7}[/tex]

[tex]Pr = \frac{3}{14} + \frac{3}{14}[/tex]

take lcm

[tex]Pr = \frac{3}{7}[/tex]

Hence, the probability that one green and one yellow is selected (without replacement) is 3/7.

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Solving the given fraction, we get that It will rain for 1 day more, that means a total of 2 days.

According to the question, first day it rained 6 inches. Then it rained 2/3 every day after that. Solving the fractions, we get that second day it will rain,

(6 × 2/3) = 4 inches as it rained 2/3 every day after that .

So, it rained a total of, 6 + 4 inches = 10 inches in a week.

We have been given that it rained a total of 10 inches in a week. While solving the fraction, we found that it rained for 10 inches in just days, 6 inches in a day and 4 inches the other day. This tells us that it will not rain for the remaining 5 ( 7 - 2 ) days.

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Answer:  First graph

Step-by-step explanation:

We first rewrite the equation in slope-intercept form y = ax + b, where a is the slope and b is the y-intercept(where x is equal to 0).

24x + 64y = 384

         64y = -24x + 384

             y =  [tex]-\frac{24}{64}[/tex]x + 6

The y-intercept for this graph is equal to 6. Only the first graph satisfied the slope of the linear equation that we are looking for. In the first graph, when x was equal to 0, y was equal to 6.

Answer:

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Which is the graph of the given function?

Here we have the exponential decay:

f(x) = 100*(0.7)^x

So, as x increases, y will tend to zero (because this is a decay, the number with the exponent x is between zero and 1).

Now, if we evaluate in x = 0 we get:

f(0) =  100*(0.7)^0 = 100

Then it goes through the point (0, 100).

If we evaluate in x = 2, we get:

f(2) = 100*(0.7)^2 = 49

Then it also goes through the point (2, 49).

With all that in mind, the correct option is:

"On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100)."

Please check the image attached aside with the graph of the quadratic equation.

In this problem we have a quadratic equation, of which we should plot the graph by matching five points. We can make use of its vertex, two roots, y-intercept and other point. First, determine the vertex of the quadratic function:

- x² - 12 · x - (35 + y) = 0

x² + 12 · x + (35 + y) = 0

12² - 4 · 1 · (35 + y) = 0

144 - 4 · (35 + y) = 0

144 - 140 - 4 · y = 0

4 · y = 4

y = 1

- x² - 12 · x = 36

x² + 12 · x + 36 = 0

(x + 6)² = 0

x = - 6

The vertex of the quadratic equation is (x, y) = (- 6, 1).

Second, calculate the roots of the quadratic equation:

- x² - 12 · x - 35 = 0

x² + 12 · x + 35 = 0

(x + 5) · (x + 7) = 0

The roots of the quadratic equation are (x, y) = (- 5, 0) and (x, y) = (- 7, 0).

Third, determine the y-intercept of the quadratic equation:

y = - 0² - 12 · 0 - 35

y = - 35

The y-intercept of the quadratic equation is (x, y) = (0, - 35).

And fourth, find another point by evaluating the quadratic equation:

y = - 1² - 12 · 1 - 35

y = - 48

The remaining point is (x, y) = (1, - 48).

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Answer:

[tex] \sf \large \: −2r+73[/tex]

Step-by-step explanation:

Let's simplify step-by-step.

2r+1−4r+72

=2r+1+−4r+72

Combine Like Terms:

=2r+1+−4r+72

=(2r+−4r)+(1+72)

=−2r+73

Answer:

1.5

2.1/5

Step-by-step explanation:

There are three possible positive and one negative root for the equation.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

We have been given the equation as

⇒ -4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0

Check the polynomial "as is" for positive zeros, the symbol changes three times. This means that you might either have one or three positive zeros. If they are imagined, they will depart in pairs.

So changes signs 3 times: possible positive roots 3 or 3-2=1

The polynomial must be rewritten as  [tex]f(-x)[/tex] for negative zeroes, or

⇒ -4x⁶ + 3x⁵ + 2x² + 4x + 1

This polynomial changes signs just once, So There will have 1 negative zero.

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The question seems to be incomplete the correct question would be

According to Descartes's rule of sign, how many possible positive and negative roots are there for the equation

-4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0

The dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.

The perimeter of rectangle is expressed as;

P = 2( l + w )

Given the data in the question;

Let x represent the width of the rectangular base.

Plug these values into the equation above.

P = 2( l + w )

810 = 2( (3x-75) + x )

810 = 6x - 150 + 2x

810 = 8x - 150

8x = 810 + 150

8x = 960

x = 960/8

x = 120

Hence,

Width of the rectangle = x = 120ft

Length of the rectangle = 3x-75 = 3(120) - 75 = 285ft

Therefore, the dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.

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Answer: x = -5

Step-by-step explanation:

3x + 4 = 2x - 1

3x = 2x -5

x = -5