x^2-18-6 completing the square

Answer: 55.9% appex

Step-by-step explanation:

The probability that a data value is between 55 and 63 is 54.7%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

We can use the standard normal distribution to solve this problem by standardizing the values of 55 and 63:

z1 = (55 - 62) / 4 = -1.75

z2 = (63 - 62) / 4 = 0.25

Using a standard normal distribution table (or a calculator), we can find the area under the curve between z1 and z2:

P(-1.75 < z < 0.25) = 0.5466

Rounding to the nearest tenth of a percent, we get:

0.5466 ≈ 54.7%

Therefore,

The probability that a data value is between 55 and 63 is 54.7%.

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Answer:

(-15,12),(6,18)(12,-9)

Step-by-step explanation:

Given

A (-5, -4), B (2, 6), and C (4, -3)

Dilated from (x,y) to (3x,3y)

Required

Vertices of the dilated image

First, the scale factor has to be calculated

This is calculated as thus;

Dilation = Original * Scale Factor;

In case of (x,y) to (3x,3y)

So, we have

[tex](3x,3y) = Scale\ Factor * (x,y)[/tex]

Simplify brackets

[tex]3(x,y) = Scale\ Factor * (x,y)[/tex]

Divide both sides by (x,y)

[tex]\frac{3(x,y)}{(x,y)} = \frac{Scale\ Factor * (x,y)}{(x,y)}[/tex]

[tex]\frac{Scale\ Factor * (x,y)}{(x,y)}=\frac{3(x,y)}{(x,y)}[/tex]

[tex]Scale\ Factor =\frac{3(x,y)}{(x,y)}[/tex]

[tex]Scale\ Factor =3[/tex]

Now, the vertices of the new image can be calculated;

Using the formula: Dilation = Original * Scale Factor;

At vertex A(-5,4)

Dilation = (-5,4) * 3

Dilation = (-5*3 ,4*3)

Dilation = (-15,12)

At vertex B(2,6)

Dilation = (2,6) * 3

Dilation = (2*3 ,6*3)

Dilation = (6,18)

At vertex C(4,-3)

Dilation = (4,-3) * 3

Dilation = (4*3 ,-3*3)

Dilation = (12,-9)

Hence, the vertices of the dilated image are (-15,12),(6,18)(12,-9)

Answer:

c/a/a

Step-by-step explanation:

Answer:

B for the first one. A is for the second one. A for the third one.

Step-by-step explanation:

A is for the second one because 4* 10^4=40,000 while 4*10^5= 400,000 and a marathon is 42,000 and 40,000 is closer to 40,000. Therefore, A.

A for the third one because 1*10^0=1 while 1*10^1=10 and a stride is 1.44 and 1 is closer to 1.44 than 10. Therefore, A.

B for the first one because if a stride is 1m and the marathon is 4*10^4 which is 40,000 then. 40,000/1 = 40,000= 4*10^4

I hope this helps!

P.S.- Just an FYI in case you don't know. An* means to multiply and a ^ means to the power.

Answer:

Option d is the answer

(X + 8)(x2 – 3)

Step-by-step explanation:

x3 + 8x2 – 3x – 24

= (X + 8)(x2 – 3)

Check all the options by expansion

(a)

(x-8)(x2 - 3)

=x3-3x-8x2+24

(b)

(X + 8)(x2 + 3)

=X3+3x+8x2-24

(c)

(x-8)(x2 + 3)

=X3+3x-8x2-24

(d)

(X + 8)(x2 – 3)

=X3-3x+8x2-24

Answer:

230 - 151 + 180 + (43 - 12) = 290

Step-by-step explanation:

Use PEMDAS.

Evaluate the expression in the parentheses:

230 - 151 + 180 + (43 - 12)

43 - 12 = 31

230 - 151 + 180 + 31

Add and Subtract From Left to Right:

230 - 151 + 180 + 31

79 + 180 + 31

259 + 31

290

None of the given options are correct.

Answer:

18

Step-by-step explanation:

Evaluate the expression: 23^(0) - 15^(1) + 18^(0) + (43 - 12) = 18

Answer:

See below

Step-by-step explanation:

Attached below is the graph of [tex]x\geq 2[/tex]. Since x=2 is a vertical line, everything shaded are the x values larger or equal to 2. Hope this helps!

Answer:

C. (2,-2), (7,-1), (12,0), (17, 1), (22,2)

Step-by-step explanation:

a p e  x , just took the quiz

Answer:

if 52x=1 what is the value of x

Answer:

5.

Step-by-step explanation:

Khan academy (I tried 5 and it was correct)

Answer:

x=-3/4 x=-1/4

Step-by-step explanation:

x-1=5x+2

-3=4x

x=-3/4

x+1=5x+2

-1=4x

x=-1/4

Answer:

median a= 65 b= 75 c=68

This shows the median of each fat content of each restaurant showing that restaurant c is closer to that of 'restaurant a ' than a is to 'restaurant b' and near to 1/7 lower than that of restaurant b which shows they are all highly skewed with each other upon their graph.

The measures of spread start with 55 to 72 for 'restaurant a' where the upper and lower quartiles  are 70-60 showing a distribution 10-17 into the whisker plot.

Compared to restaurant b which shows a measure of spread start with 65 to 90 for 'restaurant b' where the upper and lower quartiles are 85 - 68 into the whisker plot and show a spread of 3 in the left exterior and 5 spread in the right exterior to the upper quartile. So in comparison to restaurant a that restaurant b has a greater spread in the interquartile range = 15  where restaurant a =10.

For the outer quartile the comparison to restaurant a is twice as small meaning restaurant a is greater by over double and shown as   53 <a < 60 which when showing both outer quartiles we can use the amounts being 7 and 70<a<72 = 2

and show closed dots on equality line number line separately showing a<-7  and a>2 for each outer exterior quartile. For restaurant b this shows opposite similar equalities 65<b< 68 = b>-3 and   82<b<89 = b>7

So the differences are smaller for b for left side by 4 and larger for b by 5 up on the right side.

We compare both to restaurant c and find c =   60<c<61 = c>-1 and 70<c<71 = c>1 so the differences are that the outer quartile for c through the other quartiles = -2> c < -6 . This shows how smaller c is compared to a and b outer quartiles). We can also prove that while the outer quartiles are much more smaller for c than a and b we cna prove that c actually has an inner quartile more similar to c and closer distribution of b as the median is more closer for a and c where b has a greater output for median as restaurant b has the higher fat content and greater distribution within the inner quartiles over all.

Summary findings Restaurant c outer quartile is moderately skewed as they show -1 -0.5  on the left side and 1-0.5 on the right side. Restaurant a has a closer median inner quartile to c and closer distribution of inner distribution of c. It's output outer quartile distribiution is a distribution that is higher than b but a smaller inner quartile compared to b, when this happens then the distribution spread shows less range and fewer products to account for.

So i think restaurant b has the higher fat content to its menu.

Where restaurant a must be the healthiest as it holds the lowest range and larger gap is such range for healthier food.ie) when compared to the others. 

Meanings of what we are asked.

In a box and whisker plot: the ends of the box are the upper and lower quartiles, so the box spans the interquartile range. the median is marked by a vertical line inside the box. the whiskers are the two lines outside the box that extend to the highest and lowest observations.

Skewness refers to distortion or asymmetry in a symmetrical bell curve, or normal distribution, in a set of data. If the curve is shifted to the left or to the right, it is said to be skewed. Skewness can be quantified as a representation of the extent to which a given distribution varies from a normal distribution.

As a general rule of thumb:

If skewness is less than -1 or greater than 1, the distribution is highly skewed.

If skewness is between -1 and -0.5 or between 0.5 and 1, the distribution is moderately skewed.

If skewness is between -0.5 and 0.5, the distribution is approximately symmetric.

Step-by-step explanation:

Answer:

The x-int.s are (2, 0) and (4, 0) so the midpoint will be (3, 0).

Answer:

Step-by-step explanation:

Answer:

X=131

Step-by-step explanation:

9+40+? = 180

All triangles =180

40+9=49

180-49=131

answer is x=131

Answer:

41

Step-by-step explanation:

This is a pythagorean theorem question, which is represented by the formula [tex]a^{2} + b^{2} = c^{2}[/tex]

c always represents the hypotenuse, which is the longest side of the triangle

your two given numbers are represented by a and b

plug in the two numbers into the formula and solve. the formula should look like this: [tex]9^{2} + 40^{2} =c^{2}[/tex]

it should then be: 81+1600=[tex]c^{2}[/tex]

Add the two numbers and take the square root

Answer:

80% of the rectangle is shaded.

Step-by-step explanation:

There are 10 rows and of those rows 8 are shaded.

Answer:

D

Step-by-step explanation:

80/10

10 20 30 40 50 60 70 80 90 100

 8 shaded so 80 percent

Answer:

4

Step-by-step explanation:

A and B meet at G which is 50 moving up the degree ould still stay 50

Answer:

x = 12

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

Step-by-step explanation:

20x?=1800 20x90=1800

Sarah will earn $ 21.60 following the percentage increase

A ratio or figure stated as a fraction of 100 is called a percentage. The percent marker is frequently used to indicate it,%

The approximation error in a data value is the distinction between a precise value and one that is close to it. This error may be referred to as either an absolute error or a relative error.

The difference between the measured value and the true value, expressed as a percentage of the true value, is known as a percentage change.

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Let the amount Sarah will get following the percentage increase be A given the available facts.

Right now, Sarah's starting salary is $ 18.00.

20% is the proportion that hourly work will rise.

Hence, the amount of increased hourly work equals 20% of Sarah's starting salary.

Simplifying results in

The increase in hourly pay is (20/100) times 18 ($3.60)

Now, the amount Sarah will get following the % increase is A = the starting sum Sarah earns + the increase in hourly pay.

And Sarah will earn A = $ 18.00 + $ 3.60 = $ 21.60 after the percentage increase.

Hence, an increase of $ 21.60 is required for hourly employment.

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Answer:

I would say the 2-cup container is the best buy.

Step-by-step explanation:

Value for money and 2 cups are enough.

Answer:

1.2 million

Step-by-step explanation:

First multiply the equation by 100. You get:  

600,000 = 100bu + 400,000

Now recognize that you can substitute:

600,000 + 100bu + 400,000

= 600,000 + (600,000)

= 1,200,000

That’s 1.2 million.

The value of the equation given is 1.2 millions.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, an equation, 6,000 = bu + 4,000, we need to find the value of the equation 600,000 + 100 bu + 400,000,

So, In the equation 1, multiply by 100, we get,

6,000 = bu + 4,000

600000 = 100 bu + 400000

Now, put this in equation 2,

600,000 + 100 bu + 400,000

= 600000 + 600000

= 1200000

= 1.2 millions

Hence, the value of the equation given is 1.2 millions.

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Answer:

a)  f(x) = x² -9

function is an even function

b)  g(x) = |x -3|

function is an even function

c) f(x)= x / x²-1

function is  odd function

d) g(x) = x + x²

Given function is not an even not odd function

This function is neither even or odd

Step-by-step explanation:

Explanation:-

a) Given f(x) = x² -9

Even function

If f(-x) = f(x) , then the function is even function.

f(-x) = (-x)² -9

      =  x² -9

      = f(x)

f(-x) = f(x)

∴ Given function is an even function

b)

Given g(x) = |x -3|

Even function

If g(-x) = g(x) , then the function is even function.

g(-x) = |-(x-3)|

      = |x-3|

g(-x) = g(x)

∴ Given function is an even function

c)

odd function

If f(-x) =- f(x) , then the function is odd function.

f(-x) = [tex]f(-x) = \frac{-x}{(-x)^{2}+1 } = \frac{-x}{x^{2}+1 } = - f(x)[/tex]

      = -f(x)

f(-x) = -f(x)

∴ Given function is odd function

d)

If g(-x) = g(x) , then the function is even function.

g(x) = x + x²

g(-x) =  -x + (-x)²

     = - (x - x²)

This is not either even or odd function

∴ Given function is neither function

a)  f(x) = x² -9

function is an even function

b)  g(x) = |x -3|

function is an even function

c) f(x)= x / x²-1

function is  odd function

d) g(x) = x + x²

Given function is not an even not odd function

This function is neither even or odd

Here, we have,

a) Given f(x) = x² -9

Even function

If f(-x) = f(x) , then the function is even function.

f(-x) = (-x)² -9

     =  x² -9

     = f(x)

f(-x) = f(x)

∴ Given function is an even function

b)

Given g(x) = |x -3|

Even function

If g(-x) = g(x) , then the function is even function.

g(-x) = |-(x-3)|

     = |x-3|

g(-x) = g(x)

∴ Given function is an even function

c)

odd function

If f(-x) =- f(x) , then the function is odd function.

f(-x) = -x/(-x)²-1

     = -f(x)

f(-x) = -f(x)

∴ Given function is odd function

d)

If g(-x) = g(x) , then the function is even function.

g(x) = x + x²

g(-x) =  -x + (-x)²

    = - (x - x²)

This is not either even or odd function

∴ Given function is neither function.

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Answer:x+y=24  

is the respuesta

1 whole or 4/4 time's what its being compaired to then multiply to get your answer! :D stay safe!

Answer:

224

Step-by-step explanation:

Khan hehe

Answer:

1/6 <x

Step-by-step explanation:

-2(8x - 4) < 2x + 5

Distribute

-16x +8 < 2x+5

Add 16x to each side

-16x+16x +8 < 2x+16x+5

8 < 18x +5

Subtract 5 from each side

8-5 <18x

3 <18x

Divide by 18

3/18 <x

1/6 <x

-2(8x - 4) < 2x + 5

Expand the brackets.

-16x +8 < 2x + 5

Add -2x and -8 on both sides.

-16x -2x<5-8

-18x<-3

Multiply both sides with -1 (reverse the inequalty).

18x>3

Divide 18 into both sides.

18x/18>3/18

Answer:

x = 30

Step-by-step explanation:

4x+2x=180

6x=180

x=30

The value of x is 30.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given is a line EB where another line FA is intersected at the point A on the line EB.

Angles formed on a line is supplementary.

The angles EAF and BAF are the angles formed on a line.

∠EAF + ∠BAF = 180°

4x + 2x = 180°

6x = 180°

x = 180° / 6

x = 30

Hence the value of the x in 4x and 2x is x = 30.

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Answer:

Prime

Step-by-step explanation:

x^2 + 64 cannot be factored any further

It is prime because it cannot be factored further.

Prime numbers have two elements, themselves and 1, however, those are the trivial factors that every variety has. Due to the fact they can not be factored in every other manner, we are saying that they cannot be factored.

Prime factorization is a way of expressing a variety of as a made from its prime elements. A high wide variety is a number that has precisely two elements, 1 and the variety itself. For instance, if we take the range 30. We realize that 30 = 5 × 6, however, 6 isn't always a high wide variety.

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If the only perimeters are that the length has to be twice the width and less than 108 meters then there are an infinite amount of possible values for width. For example: 1.0002 and 2.0004 or 4 and 8. You can use an infinite amount of decimal places and therefore have an infinite amount of values.

The largest the width can be is the limit approaching 18 and it has to be greater than 0 tho

Answer:

20 liters

Explanation:

To find out how much jam Devon would jar if she spent four days making jam, we must first find out how much jam she makes in one day. In order to do that, we must divide how many liters of jam she makes in three days by the amount of days it took her to make it (three days).

15 liters ÷ 3 days = 5 liters per day

So, Devon jars 5 liters of jam per day.

Now that we found out how much jam she makes in a day, let's find out how much jam she makes in four days. To do that, we must multiply the amount of jam she makes in a day by four days.

5 liters × 4 days = 20 liters

Therefore, Devon will jar 20 liters of jam if she spends four days making jam.

Answer:

on ixl its 48.

Step-by-step explanation:

check the photo and if u feel I made any mistakes pls do let me know

Answer:

[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\[/tex]

Step-by-step explanation:

We are to factorize the expression [tex]a^{3y} + 1[/tex] completely. To do this, we will apply the expression below;

The expression can be rewritten as [tex]a^{3y} + 1^{3}[/tex]

To factorize the expression, we need to first factorize [tex](a^{y}+1 )^{3}[/tex] first

[tex](a^{y}+1 )^{3} =(a^{y}+1 )(a^{y}+1 )^{2}\\= (a^{y}+1 )((a^y)^{2} } + 2a^{y} +1)\\= (a^y)^{3} +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y+1\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +3(a^y)^{2}+3a^y\\[/tex]

The we will make [tex]a^{3y} + 1^{3}[/tex] the subject of the formula as shown;

[tex](a^y)^{3} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\(a^y)^{3} + 1^{3} = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]

[tex](a^y)^{3} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]

[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]

[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\[/tex]

This last result gives the expansion of the expression

Answer:

x^12 * z^3 (zy^2/3 - 2) ^3/2

x to the power of 12 times z cubed (zy to the power of two thirds minus 2) exponent three halves

Step-by-step explanation: