You want to hang a painting in the center of a 12-
foot wall. The painting is 2 feet wide. How far from
the edge of the wall do you place the nail to hang the
painting?

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:

150

Step-by-step explanation:

3x58=174

3x8=24

174-24=150

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:

$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

In theory, yes. Light that left the earth 65 million years ago is now 65 million light years away, and an alien with a big enough telescope pointed directly at the earth might be able to see dinosaurs. Practically, such a telescope would be impossibly huge.

Answer:

Hmm, rather unusual question. I think that if an alien were looking at Earth 100,000 light years away, I don't think it would be able to see Earth! But if it could, it would see a planet filled with life, buildings, water and land.

Step-by-step explanation:

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

The answer is r and s.

Hope this helps!

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:

[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:

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:

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 %

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

Check the picture below, notice the tickmarks.

for a chord perpendicular to the diameter chord, their intersection makes two equal segements and those twin segments make twin arcs.

[tex]\bf 2x+5=3x-2\implies 5=x-2\implies \boxed{7=x} \\\\\\ y+8=5y\implies 8=4y\implies \cfrac{8}{4}=y\implies \boxed{2=y} \\\\[-0.35em] ~\dotfill\\\\ \widehat{AB}=2(7)+5\implies \widehat{AB}=19~\hfill \overline{DC}=5(2)\implies \overline{DC}=10[/tex]

Answer for arc AB:

since we know FB is the perpendicular bisector of AC then we know AB is the same length as BC so: 2x + 5 = 3x - 2 put everything on the left side

2x + 5 + 2 = 3x -2 + 2    2x + 7 = 3x put the variables on one side

2x - 2x + 7 = 3x - 2x   7 = x  plug it in

2(7) + 5 = 19

AB = 19

Answer for segment DC:

since we know FB is the perpendicular bisector of AC then we know AD is the same as DC.

y + 8 = 5y put the variable on one side

y - y + 8 = 5y - y   8 = 4y simplify

8/4 = 4y/4

2 = y plug it in

5(2) = 10

DC = 10

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:7

Step-by-step explanation:

Answer:

the answer is x+y= 15

:) have a nice day love ❤

Step-by-step explanation:

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:

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

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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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:

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: 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:

[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

[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

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:

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:

The correct distributions are attached.

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