Find the quadratic equation whose solutions have a sum of 3/4 and a product of 1/8. To start, you will need to find the values of the coefficient a, b, and c. Then show that equation works by solving the equation, followed by checking that the solutions have the indicated sum and product. Your final equation should have coefficients that are integers, with no common factors between them all (other than 1). Please please please help me!!!

The answer is D: 351 ft2. Hope it helps

Answer= D) 351 ft2

Step-by-step explanation: Alright check it. First lets break it down. 2 rectangles which we need the area for. 24*9 for the bottom one and since 18-9=9 then the top rectangle is 15*9 so basically (15*9) + (24*9) = 135+216=351

Answer:

to everyone that needs it the awnser is 29.0% its not 0.31

i got it correct

Step-by-step explanation:

Therefore, Option ( C ),P(Microbial Contamination from Salmonella | Capsule A)=0.31%

The probability of capsule B having microbial contamination is greater than the probability of capsule D having it.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

It is given that the table shows the probabilities of contamination in medicine capsules from the presence of heavy metals and different types of microbes.

Now, By given table, we have;

The probability of capsule B having microbial contamination is, 0.33%

And, the probability of capsule D having it is, 0.22%

Hence, The probability of capsule B having microbial contamination is greater than the probability of capsule D having it.

Above is the table of conditional probabilities of contamination from various sources given type of capsules.

P(Microbial Contamination from Salmonella | Capsule A)=0.31%

Thus, the chance the is from contamination salmonella option (C) is correct.

Correct Answer:

The probabilities of contamination in medicine capsules due to the presence of heavy metals and different types of microbes are given in the table.

The probability of capsule B having microbial contamination is [blank] the probability of capsule D having it.

Answer choices in drop down menu are:

A. the same as

B. greater than

C. less than​

Answer:

The graph shows the solution to the system inequalities

y ≥ -3x + 3 and y ≥ 2x ⇒ answer D

Step-by-step explanation:

* Lets study the graph to solve the question

- There are two solid lines, that means the sign of the inequalities

  are ≤ or ≥

- One of the two line passes through the origin and the other

  intersect the y-axis

- The shaded region is over the two lines, then the signs of the

  inequalities are ≥ (greater than or equal)

* Lets make the equations of the two lines

∵ The form of the equation is y = mx + c, where m is the slope of the

   line and c is the y-intercept

- The rule of the slope of the line wich passes through points (x1 , y1)

  and (x2 , y2) is m = (y2 - y1)/(x2 - x1)

- Y-intercept means the line intersect the y-axis at point (0 , c)

* Now lets find from the graph two points on each line to make the

 equations of the lines

# The line which passes through the origin

∵ Points (0 , 0) and (5 , 10) are on the line

- Let (0 , 0) is (x1 , y1) and (5 , 10) is (x2 , y2)

∴ m = (10 - 0)/(5 - 0) = 10/5 = 2

∴ The equation of the line is y = 2x + c

∵ The line passes through the origin

∴ c = 0

∴ The equation of the line is y = 2x

- The shaded is over the line

∴ The inequality is y ≥ 2x

# The line which intersect the y-axis at point (0 , 3)

∵ Points (0 , 3) and (1 , 0) are on the line

- Let (0 , 3) is (x1 , y1) and (1 , 0) is (x2 , y2)

∴ m = (0 - 3)/(1 - 0) = -3/1 = -3

∴ The equation of the line is y = -3x + c

∵ The line passes through the point (0 , 3)

∴ c = 3

∴ The equation of the line is y = -3x + 3

- The shaded is over the line

∴ The inequality is y ≥ -3x + 3

∴ The graph shows the solution to the system inequalities :

   y ≥ -3x + 3 and y ≥ 2x

The graph shows the solution to the system inequalities

y ≥ -3x + 3 and y ≥ 2x ⇒ answer D

Explanation:

* Lets study the graph to solve the question

- There are two solid lines, that means the sign of the inequalities

 are ≤ or ≥

- One of the two line passes through the origin and the other

 intersect the y-axis

- The shaded region is over the two lines, then the signs of the

 inequalities are ≥ (greater than or equal)

* Lets make the equations of the two lines

∵ The form of the equation is y = mx + c, where m is the slope of the

  line and c is the y-intercept

- The rule of the slope of the line wich passes through points (x1 , y1)

 and (x2 , y2) is m = (y2 - y1)/(x2 - x1)

- Y-intercept means the line intersect the y-axis at point (0 , c)

* Now lets find from the graph two points on each line to make the

equations of the lines

# The line which passes through the origin

∵ Points (0 , 0) and (5 , 10) are on the line

- Let (0 , 0) is (x1 , y1) and (5 , 10) is (x2 , y2)

∴ m = (10 - 0)/(5 - 0) = 10/5 = 2

∴ The equation of the line is y = 2x + c

∵ The line passes through the origin

∴ c = 0

∴ The equation of the line is y = 2x

- The shaded is over the line

∴ The inequality is y ≥ 2x

# The line which intersect the y-axis at point (0 , 3)

∵ Points (0 , 3) and (1 , 0) are on the line

- Let (0 , 3) is (x1 , y1) and (1 , 0) is (x2 , y2)

∴ m = (0 - 3)/(1 - 0) = -3/1 = -3

∴ The equation of the line is y = -3x + c

∵ The line passes through the point (0 , 3)

∴ c = 3

∴ The equation of the line is y = -3x + 3

- The shaded is over the line

∴ The inequality is y ≥ -3x + 3

∴ The graph shows the solution to the system inequalities :

  y ≥ -3x + 3 and y ≥ 2x

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Answer:

[tex]x=1[/tex] and [tex]x=4[/tex]

Step-by-step explanation:

We have the following system of equations:

[tex]y=\sqrt{x}[/tex] and [tex]y=x-2[/tex]

To solve the problem, we need to equal the two equations:

[tex]x-2=\sqrt{x}[/tex] ⇒ [tex](x-2)^{2} =x[/tex] ⇒ [tex]x^{2} -4x + 4 = x[/tex]  

⇒ [tex]x^{2} -5x + 4 = 0[/tex]  

So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are [tex]x=-1[/tex] and [tex]x=-4[/tex].

Then, the factorized form of the polynomial is: [tex](x-1)(x-4)[/tex].

The, the solution to the system of equations is: [tex]x=1[/tex] and [tex]x=4[/tex].

Answer:

x=1.5 & x=1.2

Step-by-step explanation:

I took the mastery test for Edmentum and I got it right :)

Answer: -2, 0, 4

Set the equation equal to zero.

x³ - 2x² - 8x = 0

Factor out x in the equation, since all the terms (x³, -2x², and -8x) are divisible by x. You can check your accuracy using the Distributive Property.

x(x² - 2x - 8) = 0

Factor out the polynomial. To do this, find two numbers that multiply to get the last term, -8, and add together to get the middle term, -2. In this case, those two numbers are -4 and 2 (-4 × 2 = -8 and -4 + 2 = -2). Don't forget about the x that was factored out before!

x(x - 4)(x + 2) = 0

Set each factor equal to zero and solve for x. The factors in the equation are x, (x - 4), and (x + 2).

        x = 4

        x = -2

The zeros of the polynomial function are -2, 0, and 4.

Answer:

D

Step-by-step explanation:

To find out the price lets divide

11.16/ 4 = 2.79 per pack

17.94/6= 2.99 per pack

24.96/8= 3.12 per pack

39.75/15= 2.65 per pack

2.65 is the cheapest out of all of the choices

Answer:

Step-by-step explanation:

The given table is

Packs     Cost ($)

   4           11.16

   6           17.94

   8           24.96

   15          39.75

So, the best value here refers to the cheapest napkins. To find their price per unit , we need to divide the cost of the pack by the number of packs

[tex]\frac{11.16}{4}= \$2.79\\\frac{17.94}{6}=\$ 2.99\\\frac{24.96}{8} =\$3.12\\\frac{39.75}{15}=\$2.65[/tex]

You can observe that the cheapest price is $2.65.

Therefore, the best choice is D. 15 packs for $39.75, because ti gives the best offer per pack.

Answer:

y = (-1/6)x^2

Step-by-step explanation:

Original function and graph:  y = x^2

Reflection across the x-axis is y = -x^2

Vertical scaling by a factor of 1/6:    y = (-1/6)x^2

The given parabola y=x^2 when reflected over the x-axis becomes y=-x^2. After applying a vertical scale factor of 1/6, it becomes y = -(1/6)x^2.

The parabola given, y=x^2, when reflected across the x-axis, results in a graph of y = -x^2.

Then, when we apply vertical scaling by a factor of 1/6, we have to multiply the y-values by this factor. If y = -x^2 is our equation after reflecting, then after scaling, it becomes y = -(1/6)x^2.

A key point to remember is that when a parabola is reflected over the x-axis, it flips upside down. Then, when it's vertically scaled by a factor, we multiply the y-values by the factor, which stretches or squishes the graph depending on the factor's value.

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Answer: the first is direct and the second is inverse.

Step-by-step explanation: There is no variation in the Y axis on the first, but there is lots of variation in the second

Answer:

Part 1) [tex]sin(\theta)=-\frac{5\sqrt{61}}{61}[/tex]  or [tex]sin(\theta)=-\frac{5}{\sqrt{61}}[/tex]

Part 2) [tex]csc(\theta)=-\frac{\sqrt{61}}{5}[/tex]

Part 3) [tex]cot(\theta)=\frac{6}{5}[/tex]

Step-by-step explanation:

we know that

The point (-6,-5) lies on the III Quadrant

so

sin(theta) is negative

csc(theta) is negative

cot(theta) is positive

Part 1) Find the sine of angle theta

we know that

The function sine is equal to divide the opposite side to the angle theta by the hypotenuse

[tex]sin(\theta)=\frac{y}{r}[/tex]

we have

[tex]x=6\ units,y=5\ units[/tex]

Applying the Pythagoras Theorem

[tex]r^{2}=x^{2}+y^{2}[/tex]

substitute

[tex]r^{2}=6^{2}+5^{2}[/tex]

[tex]r^{2}=61[/tex]

[tex]r=\sqrt{61}\ units[/tex] -----> the hypotenuse

substitute

[tex]sin(\theta)=\frac{5}{\sqrt{61}}[/tex]

Simplify

[tex]sin(\theta)=\frac{5\sqrt{61}}{61}[/tex]

Remember that the sin(theta) is negative

so

[tex]sin(\theta)=-\frac{5\sqrt{61}}{61}[/tex]

Part 2) Find the cosecant of angle theta

we know that

The function cosecant is equal to divide the hypotenuse by the opposite  side to the angle theta

[tex]csc(\theta)=1/sin(\theta)=\frac{r}{y}[/tex]

we have

[tex]sin(\theta)=-\frac{5}{\sqrt{61}}[/tex]

so

[tex]csc(\theta)=-\frac{\sqrt{61}}{5}[/tex]

Part 3) Find the cotangent of angle theta

we know that

The function cotangent is equal to divide the adjacent side to the angle theta by the opposite side to the angle theta

[tex]cot(\theta)=\frac{x}{y}[/tex]

we have

[tex]x=6\ units,y=5\ units[/tex]

substitute

[tex]cot(\theta)=\frac{6}{5}[/tex]

The exact values of sin theta, csc theta, and cot theta for a point (-6, -5) on the terminal side are -5/sqrt(61), sqrt(61)/-5, and 6/5 respectively.

In this problem we have a point (-6, -5) on the terminal side of theta. The x-coordinate corresponds to the cosine of theta and the y-coordinate corresponds to the sin theta.

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Answer:

6.37%

Step-by-step explanation:

A deck of cards have 52 cards.  There are 4 suits of 13 card each, those suits are Hearts, Clubs, Diamond and Spades.

The probability that the first card is a heart is:

[tex]P(Hearts) = \frac{13}{52}[/tex]

Now, the probabily that the second card is a diamond is:

[tex] P(Diamond | First card is Heart) = \frac{13}{51}[/tex]

The Probability that the first card is a heart and the second one a diamond is given by:

[tex]P(Hearts)[/tex]×[tex]P(Diamond | First card is Heart)[/tex]

[tex]= \frac{13}{52}\frac{13}{51}[/tex]

[tex]= 6.37[/tex]%

Answer:

6.37 %

Step-by-step explanation:

First card is 13/52 , the second card is 13/51.

So the probability is (13/52 × 13/51) = 6.37 %

Answer:

the answer is 2,800

Step-by-step explanation:

Answer:

The elephant would weigh 14,400 pounds

explanation:

2,000 pounds equals 1 ton.

First you would multiply 2,000 by 7 and that would equal 14,000.

So 7 tons converted to pounds would be 14,000

Finally, you would add the 400 pounds to 14,000 and you would get 14,400

Hopes this helps :)  - A.Hazle

Answer:

The correct distributions are attached.

Answer:

-100

Step-by-step explanation:

[tex] \frac{x}{5} + 6 = - 14[/tex]

Subtract 6 from both sides

[tex] \frac{x}{5} = - 20[/tex]

Multiply both sides by 5

[tex]x = - 100[/tex]

The value of the x is -100.

Equation, statement of equality between two expressions consisting of variables and/or numbers.

We have an equation with one variable. We will try to have the unknown on the left side and all the numerical values on the right side.

x/5 +6  = -14for making all numerical terms on the right side, we will have to do the following steps:

Step 1:Subtracting -6 on both sides x/5 +6 - 6 = -14-6x/5 = -20

Step 2 :Multiplying 5 on both sides x/5 *5 = -20x5x = -100

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Alright! Let me draw one out for you! c: Here you go! I hope this helps! It took me a while ~w~

Don't juge my handwriting It took a while T~T I couldn't put in the whole picture but the pattern was.

Turkey - Japan : 1.7

UK - Finland: 2.8

Austria - Germany : 3.3

Spain - Sweden : 4.4

Denmark- Switzerland : 5

France - Norway : 5.5

Canada - U.S : 7.5

Hope this helps!~

Answer:

Classes           Frecuency        

0.0 - 0.9                    1                  

1.0 - 1.9                      5            

2.0 - 2.9                    5

3.0 - 3.9                    2  

4.0 - 4.9                    1

Step-by-step explanation:

The scale of equal intervals is characterized by a common and constant unit of measure that assigns a number equal to the number of units equivalent to that of the magnitude of the observed element. It is important to note that the zero point in the scales of equal intervals is arbitrary, and does not reflect at any moment absence of the magnitude that we are measuring.

This scale, besides having the characteristics of the ordinal scale, we find that the assignment of the numbers to the elements is so precise that we can determine the magnitude of the intervals (distance) between all the elements of the scale. Undoubtedly, we can say that the scale of intervals is the first truly quantitative scale and the characters that have this scale can be calculated all the statistical measures except the coefficient of variation.

The data is classified into classes divided into equivalent intervals. The range is then divided by the number of classes, which gives the common difference.

1. Define the number of equals intervals .

Each interval increase 0.9.

2. Make a frecuency table.

We select each country which is within the range of each class and we add in the frecuency column the countries that fall within the range of that class.

Classes           Frecuency        

0.0 - 0.9                    1                  

1.0 - 1.9                      5            

2.0 - 2.9                    5

3.0 - 3.9                    2  

4.0 - 4.9                    1

Answer:

B.

Step-by-step explanation:

(b+3c)+(b+3c)

=2(b+3c)

Note:x+x=2x

[tex]2(b+3c)=2b+2(3c)=b+3c+b+3c[/tex]

The answers are B and C.

Hope this helps.

r3t40

Answer:

[tex]P (even,\ then\ not\ 2) = \frac{5}{12}[/tex]

Step-by-step explanation:

When launching a numerical cube there are 6 possible results

S = {1, 2, 3, 4, 5, 6}

Among these possible outcomes only 3 are even numbers

S = {2, 4, 6}

So the probability of obtaining an even number is

[tex]P = \frac{3}{6}\\\\P = \frac{1}{2}[/tex]

Then, the probability of obtaining a number other than 2 is:

[tex]P = \frac{5}{6}[/tex].

If 2 launches are made then the events are independent,

Thus:

P(even, then not 2) is

[tex]P (even,\ then\ not\ 2) = \frac{1}{2} * \frac{5}{6}\\\\P (even,\ then\ not\ 2) = \frac{5}{12}[/tex]

Answer:

b=1.005

Step-by-step explanation:

b=(1+0.5%)

=1+0.005

=1.005

Answer:

b=1.005

Step-by-step explanation:

b=(1+0.5%)

=1+0.005

=1.005

Step-by-step explanation:

Answer: r and s because these are the lines that 1 and 9 are on

The answer is r and s.

Hope this helps!

Answer:

Yes, because the sum of all of the probabilities is 1.

Step-by-step explanation:

The given probability equation is:

[tex]P(x)=\frac{2x-1}{16}[/tex], where x belongs to {1,2,3,4}.

[tex]P(1)=\frac{2(1)-1}{16}=\frac{1}{16}[/tex]

[tex]P(2)=\frac{2(2)-1}{16}=\frac{3}{16}[/tex]

[tex]P(3)=\frac{2(3)-1}{16}=\frac{5}{16}[/tex]

[tex]P(4)=\frac{2(4)-1}{16}=\frac{7}{16}[/tex]

Let us sum all the probabilities to obtain;

[tex]P(1)+P(2)+P(3)+P(4)=\frac{1}{16}+ \frac{3}{16}+\frac{5}{16}+\frac{7}{16}[/tex]

[tex]P(1)+P(2)+P(3)+P(4)=\frac{1+3+5+7}{16}[/tex]

[tex]P(1)+P(2)+P(3)+P(4)=\frac{16}{16}[/tex]

[tex]P(1)+P(2)+P(3)+P(4)=1[/tex]

Since the sum of all the probabilities is 1, it is a probability distribution

Answer:

see below

Step-by-step explanation:

We can round the original price of the jacket to 100 dollars

30% off means we pay 70%

70 % of 100

.70*100 = 70

The jacket will cost just less than 70 dollars

Our estimate is high since we rounded up

Answer:7

Step-by-step explanation:

Answer:

c = - 2, c = 7

Step-by-step explanation:

Given

c² - 14 = 5c ( subtract 5c from both sides )

c² - 5c - 14 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the constant term (- 14) which sum to give the coefficient of the c- term (- 5)

The factors are - 7 and + 2, since

- 7 × 2 = - 14 and - 7 + 2 = - 5, hence

(c - 7)(c + 2) = 0

Equate each factor to zero and solve for c

c - 7 = 0 ⇒ c = 7

c + 2 = 0 ⇒ c = - 2

ANSWER

The paths do not cross each other.

EXPLANATION

The equation that models one of the paths is

[tex]y = - 6x - 5[/tex]

and the other is modeled by:

[tex]y = - 4 {x}^{2} - 13x - 12[/tex]

We equate the two equations and solve for their point of intersection.

[tex]- 4 {x}^{2} - 13x - 12 = - 6x - 5[/tex]

[tex]- 4 {x}^{2} - 13x + 6x- 12 + 5 =0[/tex]

[tex]- 4 {x}^{2} - 7x- 7 =0[/tex]

[tex]4 {x}^{2} + 7x + 7 =0[/tex]

The discriminant is

[tex]D= {b}^{2} - 4ac[/tex]

[tex]D= {7}^{2} - 4(4)(7) = - 63[/tex]

The discriminant is negative so the equation has no real roots.

This means that, the two paths do not cross.

Answer:

the answer is x+y= 15

:) have a nice day love ❤

Step-by-step explanation:

ANSWER

[tex]a_n=4( { (- 2)}^{n - 1} )[/tex]

for n≥1

EXPLANATION

The explicit equation for a geometric sequence is found using the formula:

[tex]a_n=a_1( {r}^{n - 1} )[/tex]

where

[tex]a_1 = 4[/tex]

is the first term and

[tex]r =\frac{- 8}{4}=-2[/tex]

is the common ratio.

We substitute the values into the formula to obtain,

[tex]a_n=4( { (- 2)}^{n - 1} )[/tex]

This is the explicit formula for the geometric sequence.

The domain is n≥1

Answer:

$2.59 per pound of bark.

Step-by-step explanation:

Convert 3 tons to pound

1 ton = 2,000 pounds.

3 x 2,000 = 6,000

Now divide the $ and the pounds to find the $ per pound rate

6,000 ÷ 15,540 = 2.59

$2.59

Answer:

The length of side BC is 2.8 units

Step-by-step explanation:

* Lets revise how to find the distance between two points

- If there are two points their coordinates are (x1 , y1) and (x2 , y2),

 then we can find the distance between them by this rule:

 d = √[(x2 - x1)² + (y2 - y1)²]

- Now lets solve the problem

∵ B = (3 , 3)

∵ C = (5 , 1)

- To find the length of BC use the rule of the distance above

- Let point B is (x1 , y1) and point C is (x2 , y2)

∵ x1 = 3 and x2 = 5

∵ y1 = 3 and y2 = 1

∴ BC = √[(5 - 3)² + (1 - 3)²]

∴ BC = √[(2)² + (-2)²]

∴ BC = √[4 + 4] = √8 = 2.8 units

* The length of side BC is 2.8 units

Answer: Its 2.8 when rounded to the nearest tenth. :)

Answer:

150

Step-by-step explanation:

3x58=174

3x8=24

174-24=150

Answer:

C and D

Step-by-step explanation:

You have to use the distributive property.

C. 9 times y is 9y and 9 times 7 is 63

D. 3 times 3y is 9y and 3 times 21 is 63