You need to make party favors for a friend's birthday. 48 people were invited, but you'll only have to make favors for those who say they will attend. Some of the favors will be yellow and the rest will be xanadu. Make a graph using paper or technology that shows all of the possible combinations of yellow or xanadu party favors you might choose to make. Let a represent the xanadu favors and y represent the yellow favors. Your graph should be labeled with x-intercept, y-intercept, shaded region, linear boundary (solid or dashed). Also include an additional point with coordinates clearly labeled in the solution region that shows me how many of each favor you choose to make after all RSVP's are received

For a quadrilateral to be a square, the diagonals must be congruent and must be perpendicular.

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

The equation of the function is given as:

f(x) = x^3 + 4x^2 + x - 6

Expand the function

f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6

Reorder the terms of the function

f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6

Factor the expression

f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)

Factor out x -1

f(x) = (x^2 + 5x + 6)(x -1)

Expand

f(x) = (x^2 + 3x + 2x + 6)(x -1)

Factorize

f(x) = [x(x + 3) + 2(x + 3)](x - 1)

Factor out x + 2

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

The function has been completely factored;

And it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

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The statement "151.8​​ is what percent of 69​​ is expressed as 0.69p =  151.8

Equations are expressions separated by an equal sign. Words can be translated to equations.

Let the unknown variable be "p". If p percent of 69is 151.8, this is expressed as;

p% of 69 = 151.8

Convert to decimals

p/100 * 69 = 151.8

0.01p * 69 = 151.8
0.69p =  151.8

Hence the statement "151.8​​ is what percent of 69​​ is expressed as 0.69p =  151.8

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Answer:

A. (-4,0)

Step-by-step explanation:

Given the following parameters DB = 18 ft, AB = 3 ft, and CB = 10 ft. Therefore, The length of the CE is 4.6 ft.

The secant-secant rule states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

Mathematically:

(BA + AD)BA = (BE + EC)BE

Given the following parameters

DB = 18 ft, AB = 3 ft, and CB = 10 ft.

Substitute to check if we can find CE

(BA + AD)BA = (BE + CE)BE

(3+ 15) x 3 = (10 + CE ) x 10

18 x 3 = 100 + 10CE

54 = 100 + 10CE

CE = 4.6

Therefore, The length of the CE is 4.6 ft.

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Answer: [tex]\{x|x \exists \mathbb{R}, x > 3 \}[/tex]

Step-by-step explanation:

Adding 5 to both sides, we get x > 3.

Answer:

x^2+2x+y^2−2y−7=0

Step-by-step explanation:

The method from converting to standard to general is very simple

this equation in standard form would be

(x+1)^2+(y-1)^2=9

This is because whatever the center of the circle is, you take the negative/positive version of that number

The center is at -1, 1.  So it would flip to be put into the equation as 1, -1.

9 is the radius^2.

The radius is 3.

To convert to general form you just simplify

x^2+1+2x = (x+1)^2

y^2 + 1 -2y = (y-1)^2

x^2 - 2x + y^2 - 2y + 2 = 9

get the nine on the left side

x^2 -2x +y^2 - 2y 2 - 9 = 0

x^2+2x+y^2−2y−7=0

Give brainliest, please!

Hope this helps :)

Step-by-step explanation:

mark me brainlist!! hope this helps

Answer:

c

Step-by-step explanation:

its just the dilate of the triangle which both add up to 180

Answer:

Peter spent 14 dollars on movie tickets. Henry spent 10 dollars on popcorn.

Step-by-step explanation:

I hope this helps! :)

The car would travel a distance of 400 km using 20 litres of petrol

The given parameters can be represented using the following scale ratio :

Scale = 340 km : 17 litres

For 20 litres of petrol, we have:

Distance : 20 = 340 km : 17

Express as fraction

Distance/20 = 340 km/17

Multiply both sides by 20

Distance = 400 km

Hence, the car would travel a distance of 400 km using 20 litres of petrol

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An equation is formed of two equal expressions. The correct option is A.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Therefore, the equation shows p, the price in dollars that she paid for her previous car,

Price of new car = 2 (Price of the previous car)

22,500 = 2p

Hence, the correct option is A.

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Answer: a

Step-by-step explanation:

Answer:

D, E, and A

Step-by-step explanation:

Because 4 is also equivelent to square root of 16 and square root of 16 times square root of 3 is equal to square root of 48 which is D, and E is also correct because square root 24 x square root 2 is also square root 48 and same concept with A.

Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003

Decimal numbers are numbers that includes the dot in between. Given the percentage value expressed as:
0.3%

This can be expressed as;

0.3% = 0.3/100

Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003

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Answer:

A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Step-by-step explanation:

Answer:

10π (31.415926)

√101(10.0498756)

9.92749...

0.99853...

Step-by-step explanation:

For 10π, we can simplify π into 3.14 for an approximate amount. 3.14*10=31.4

For the square root of ten, we can estimate it's between 10 and 11 since 10 squared is 100 and 11 squared is 121.

Answer:

See explanation

Step-by-step explanation:

First, we have to put the expressions into numbers. For the square root of 101, it doesn't divide evenly into any whole number. We do know that 10^2 is 100, and 11^2 is 121. That means the square root of 101 is between 10 and 11. Pi is equal to 3.14, so we just multiply 10 by 3.14. If we do this, we get 31.4. From here we can rank the numbers in order from greatest to smallest.

31.4 (10pi) is greater than

The square root of 101 which is greater than

9.92749... which is greater than

0.99853...

Hope this helps!

Answer:

18ft

Step-by-step explanation:

i can't lay out the formula

Answer:

[tex] \boxed{\rm \: Volume_{(Drum)} = 5024 \: in {}^{3} }[/tex]

Step-by-step explanation:

Given :

To Find:

The volume of the drum.

Solution:

We all know that drum is cylindrical.So we'll use the formulae of the volume of cylinder,to find its volume.

[tex] \boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}[/tex]

Where,

The value of radius ain't given,but the diameter is given.We can use the formulae of radius.

[tex] \rm \: Radius = D/2[/tex]

Substitute the value of diameter:

[tex] \rm \: Radius = \cfrac{20}{2} = 10[/tex]

Hence,the radius is 10.

So we could now use the formulae of the volume of cylinder:

[tex] \rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h[/tex]

[Firstly bring the answer in terms of π then plug π = 3.14 and then simplify.]

[tex] \rm \: Volume_{(Drum)} = \pi(10) {}^{2} (16)[/tex]

[tex] \rm \: Volume_{(Drum)} =\pi100(16)[/tex]

[tex] \rm \: Volume_{(Drum)} = 1600\pi[/tex]

[tex] \rm \: Volume_{(Drum)} = 1600 \times 3.14[/tex]

[tex] \boxed{\rm \: Volume_{(Cylinder)} = 5024 \: in {}^{3}} [/tex]

Hence, we can conclude that:

The volume of this drum is 5024 in^3.

Step-by-step explanation:

= ( +2 ) × ( + 6 ) ( -3 )

= + 12 (- 3 )

[tex] = - 36[/tex]

hence - 36 is the answer...

Answer:16  ties

Step-by-step explanation:

there is 19 games if they tied 16 then that 16 points so 28 - 16= 12  

then 4 games left so 4 times 3 is 12

At the end of the tournament, team Olympus have tied for 13,10,7,4,1 times

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

According to question

In a football tournament, each team plays exactly 19 games.

Points for every win (w) = 3

Points for every tie (t)= 1

Points for every loose = 0

Olympus got a total of 28 points

i.e  3w + t = 28 ---------(1)

And each team plays  19 games

T + W  ≤  19 --------------(2)

and T , W ≥ 0

from equation (1) and (2)

=> 2W  ≥  9

=> W ≥ 4.5  

( match can be won in integers only )

=> W  ≥  5  

W       T        Loose

5        13           1

6        10           3

7         7            5

8         4            7

9          1            9    

Hence, Olympus have tied for 13,10,7,4,1 times

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The probability of P(A|B) will be; P(A|B) = 2/5 = 0.4

From the Venn diagram attached, it displays sports played by 10 students.

Let event A = The students play basketball.

Let event B = The student plays soccer.

Then the probability of P(A|B) will be;

P(A|B) = P(A ∩ B)/P(B)

P(A|B) = (2/10)/(5/10)

P(A|B) = 0.40

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Answer:

y=0, y=8

Step-by-step explanation:

y²-8y=0

y(y-8)=0

so either y=0 or y-8=0

so y=0, y=8

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=years\dotfill &2 \end{cases} \\\\\\ A=6000[1+(0.095)(2)]\implies A=6000(1.19)\implies A=7140[/tex]

Answer:

d

Step-by-step explanation:

[tex]\sqrt x > \sqrt{25} \qquad( x\geq 0)\\\sqrt x > 5\\x > 25[/tex]

When [tex]x > 25[/tex].

Answer:

B; because it has two points where x is once 2 and once -4

Answer:

y = 1/40x + 20

Step-by-step explanation:

Slope-intercept equation format:

y = mx + b

m = slope/ gradient/ constant of variation/ rate of change

b = y-intercept

To find the slope, use the formula:

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

Find  two random points:

1 - (0.5, 40) , 2 - (1, 60)

Plug in:

[tex]\frac{60-40}{1-0.5}[/tex]

Solve:

[tex]\frac{20}{0.5}[/tex]

Divide:

[tex]\frac{1}{40}[/tex]

The y-intercept is when the x-coordinate is equal to 0.

The y-intercept is always the beginning.

So observing the graph, the first point is (0, 20)

The x-coordinate is 0.

Y intercept = 20.

Plug in both slope and y-intercept:

y = 1/40x + 20