Which equation best represents the graph shown below? Explain in detail how you arrived at your answer by stating each of the mathematical transformations necessary and to produce the graph
Answer step by step

A. Y = (x - 2)^2 - 3

B. Y = (x + 2)^2 - 3

C. Y = - ( x - 2 )^2 - 3

D. Y = 1/2 ( x + 2)^2 - 3

Answer:

2x^2+2x+2

Step-by-step explanation:

7-7+5x-5x+2+2x^2+2x

ok first off i see 7-7, which is zero so we can leave that out

i also see 5x-5x which is also zero

now we have 2+2x^2+2x left, and to order it properly we put the number with the exponent and variable first, then the number with the variable, and then the number

so your final answer would be

2x^2+2x+2

i hope that helps! if you have any questions just ask!

Three answers all equivalent:

5.476190...

115/21

5 10/21

pick whichever is applicable, they are all the same

Answer:

Answer:

1/2 y > 22

Solved: y > 44

Step-by-step explanation:

We are trying to write an inequality

One-half of a number y

1/2 y

is more than

>

22

1/2 y > 22

Solving the inequality

Multiply each side by 2

1/2y * 2 > 22*2

y > 44

According to the given statement:

Minimum value has space complexity S(N) = N

Auxiliary space complexity S(N) = k.

The correct option is D.

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I understand that the question you are looking for is:

An algorithm that uses a constant number k of integer variables to find a number list's minimum value has space complexity S(N) = _____ and auxiliary space complexity S(N) = _____.

Group of answer choices:

A.  k, N

B. N, N

C. k, k

D.  N, k

A linear pair , m∠7 = 58°, m∠6 = 122° are the measurement of each angle.

What is Linear Pair?

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.

Linear Pairs add up to equal 180°.

Step 1: Define

m∠6 + m∠7 = 180°

2m∠6 = 4m∠7 + 12

Step 2: Rewrite systems of equations

I will set m∠6 = x and m∠7 to y

x + y = 180°

2x = 4y + 12

Step 3: Rewrite 2nd equation

2x = 2(2y + 6)

x = 2y + 6

Step 4: Use Substitution

2y + 6 + y = 180

3y + 6 = 180

3y = 174

y = 58°

Step 5: Find x by plugging y back into an original equation

x + 58 = 180

x = 122°

Step 6: Rewrite

x = m∠6

y = m∠7

m∠6 = 122°

m∠7 = 58°

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The value of an item is greater than or equal to 5. This statement is represented by the inequality [tex]x\geq 5[/tex] .

An inequality is a mathematical relation which compares the values of two different entities.

The various symbols used in expressing inequalities are

Linear inequalities in one variable are represented on the number line.

For example: a>100 represents all numbers greater than 100 along the number line

Linear inequalities in two variables are represented as a region in a cartesian plane.

For example: 2x+3y<6 represents a region below the straight line 2x+3y=6.

The given statement denotes that the value of the item is greater than or equal to 5.

Therefore the required inequality is : [tex]x\geq 5[/tex].

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Answer:

0 + 47 = 47

Step-by-step explanation:

➟ 0 + __ = 47

Let's Change __ to x

➟ 0 + x = 47

Calculate 0 + x = x

➟ x = 47

∴ 0 + 47 = 47

Property used is Identity property of addition

Left-handedness is _more_______ common than usual among mathematicians and ___more_____ common than usual among artist

The relationship between handedness and mathematical ability is still highly controversial.

While some researchers have claimed that left-handers are gifted in mathematics and strong right-handers perform the worst in mathematical tasks, others have more recently proposed that mixed-handers are the most disadvantaged group.

However, the studies in the field differ with regard to the ages and the gender of the participants, and the type of mathematical ability assessed.

To disentangle these discrepancies, we conducted five studies in several Italian schools (total participants: N = 2,314), involving students of different ages (six to seventeen) and a range of mathematical tasks.

The results show that (a) linear and quadratic functions are insufficient for capturing the link between handedness and mathematical ability; (b) the percentage of variance in mathematics scores explained by handedness was larger than in previous studies.

The last theory drawing a causal link from handedness to mathematical ability through cognition is the hemispheric indecision hypothesis.

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The intersection of two plans is represented by the pair of equations y = 1, z = 7. The set of points is (0,1,7) and the line is parallel to the x axis.

In geometry, a plane is a flat plate which extends in all directions to infinity.

Now, as per the question;

Consider the following equation.

y = 1 denotes a vertical plane in the xy plane.

Z = 7 denotes a horizontal plane parallel to the xy plane.

Both planes intersect and are perpendicular to each other.

y = 1 and z=7 is the intersection of two plans where x is zero and y = 1 and z = 7.

Therefore, the points are (0,1,7), and also the line is parallel to the x axis.

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Using translation concepts, the first graph is the correct one.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the function y = |x - 1| is a shift right of 1 unit of the function y = |x|. For the inequality, all the values above the line, including the line, are marked.

The graph of |x - 1| is triangular positive, with vertex at x = 1, hence the first graph is the correct one.

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Answer:

48

Step-by-step explanation:

set up a proportion of 1/3 and x/144 and then divide 144 by 3 which is 48

[tex]\stackrel{\textit{ratio of 1~:~3}}{\cfrac{males}{females}~~ = ~~\cfrac{1}{3}}\implies \cfrac{males}{144}~~ = ~~\cfrac{1}{3}\implies 3males=144 \\\\\\ males=\cfrac{144}{3}\implies males=48[/tex]

The total costs are the same when a kayak is rented for 5 hours

How do we determine the hours that both have the same costs?

The hours that both shops have the same cost is determined by equating the total cost in shop A to the total  cost in shop B, in short, we need to first of all , model the total cost in each shop based on the straight-line equation formula shown below since the total cost is made of fixed charge and variable charge

y=a+bx

y=total cost

a=fixed charge for each shop

b=hourly fee

x=number of hours

Shop A:

total cost=8+3x

Shop B:

total cost=3+4x

8+3x=3+4x

8-3=4x-3x

5=x

At 5 hours both Shops A and B would have the same cost

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The hours when the cost of renting the kayaks would be the same is 5 hours.

The total cost of renting a kayak is $23.

The equation that can be used to represent the total cost of renting a kayak is a linear function. A linear equation is an equation whose graph is a straight line. A linear equation increases by a predetermined constant. An example of a linear equation is x + 2.

The form that the equation would be is:

Total cost = rental fee + (hourly fee x number of hours)

Total cost at Shop A = $8 + $3h

Total cost Shop B = $3 + $4h

Where h is the number of hours the kayak was rented.

When the total costs are equal, the two above equations would be equal.

$3 + $4h  =  $8 + $3h

Combine similar terms: $4h - $3h=  $8 - $3

Add similar terms together: h = 5 hours

Total cost = $3 + $4(5)

$3 + $20 = $23

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Answer:

reflection

Step-by-step explanation:

triangle ABC reflected to become triangle DEF

Blaise Pascal invented the statistical method known as regression. False. The author learned through the reading that adding a bathroom increases home prices more than adding a bedroom does.

What does a statistical regression mean?

What does regression mean?

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Step-by-step explanation:

-2x<10

decide both side by -2

when ever we divide by negative number the sign will change. so this < sign will change to >

x>-5

Hey there!

-2x < 10

DIVIDE -2 to BOTH SIDES

-2x/-2 < 10/-2

SIMPLIFY IT!
x < 10/-2

x > 10/-2

x > -5

Therefore, your answer should be:

x > -5

Good luck on your assignment & enjoy your day’

~Amphitrite1040:)

Answer:

irrational number

Step-by-step explanation:

because it has no repeating pattern

The number x = 90.790170  is rational number as it is a finite decimal and can be represented as a fraction.

Given data:

Let the number be represented as x.

Now, the value of x = 90.790170

Rational numbers can be positive, negative, or zero, and they can be written in the form a/b, where a is the numerator and b is the denominator, with b not equal to zero.

The number 90.790170 is a rational number. A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero.

Since 90.790170 is a finite decimal (it doesn't repeat or go on forever), it can be represented as a fraction of two integers.

Hence, 90.790170 is rational.

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Based on the number of seals that were tagged near Avila Beach, the approximate number of seals near Avila Beach is 44 seals

The number of seals near Avila beach can be said to be x. If it is x, then the formula is:
12 = 27% x ×

27%x = 12

0.27x = 12

Solving for x then gives:

x = 12 / 0.27

x = 44.44

= 44 seals

In conclusion, there are approximately 44 seals near Avila beach.

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Answer:

243

Step-by-step explanation:

3 to the power of 5

3 x 3 x 3 x 3 x 3

3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243

Answer:

<

Step-by-step explanation:

Since the angle is greater than 95, y must be greater than x

Answer:

8 3/4 is a mixed number

Step-by-step explanation:

I don know how to explain

Answer:

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

Step-by-step explanation:

The point at which Leila should stop to take break is (6.25 , 3.75)

Given P(10 , 3) and R (0 , 4)

The ratio is 3:5

Let the break point be point B.

The formula is : (n(x₁) ₊ m(x₂)/ m₊n , n(y₁) ₊ m(y₂)/ m₊n)

P(10,3) = (x₁ , y₁)

R(0,4) = (x₂ , y₂)

m:n = 3:5

B = (5(10) ₊ 3(0)/3₊5 , 5(3) ₊ 3(4)/3₊5)

B = (50₊0/8 , 15₊12/8)

B = (50/8 , 27/8)

B = (6.25 , 3.75)

Hence Leila should stop at point (6.25 , 3.75) for her break.

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False, Mathematically, an odds ratio equates to a risk ratio, therefore, odds ratios can be interpreted in an exactly same way as risk ratio.

What distinguishes risk from probability?

The fundamental distinction is that the relative risk is a ratio of two probabilities, but the odds ratio is a ratio of two odds (yes, it's that clear). (The risk ratio is another name for the relative risk.)

Used to approximate the relative risk in case-control studies, when the occurrence of diseases are KNOWN

odds of an event = the number of ways an event can occur to the numbers of ways an event cannot occur

odds ratio = P / (1-P)

where P = probability of occurrence

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The inference is that Ah Fo's reply to the magician giving him the three brass pennies is D.

Ah Fo tells the magician that he doesn't want a reward for his help.

It should be noted that the information is about how the character helped the magician. Despite the help, he didn't request for anything in return.

Therefore, the inference is that Ah Fo's reply to the magician giving him the three brass pennies is that Ah Fo tells the magician that he doesn't want a reward for his help.

In conclusion, the correct option is D.

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Read the excerpt from "The Three Brass Pennies."

“And what might your decision be?” asked the magician, as he spread out the three brass pennies before him.

“I would ask first,” went on Ah Fo, “for the power to read accurately the thoughts of others; secondly, for the power to foretell my own future at least a month in advance of any given moment; third, for the power to acquire all learning without any effort!”

When he had finished, the magician sat back with a gasp, took off his spectacles and wiped them, put them on once more, and stared at Ah Fo in astonishment and not a little dismay. “This is most unusual,” he stammered, “not to say somewhat dangerous! Have you duly considered, my son, the extent of all you ask?”

Answer:

Step-by-step explanation:

1

6

10

15

id

id

By using the concept of dilation, we find that scale factor from A to B is equal to l' / 5, where l' is the length of the shortest side of the quadrilateral B.

Scale factor is a key variable used to dilate lengths and distances by rigid transformations. Then, the length of the shortest side of the quadrilateral B is equal to the product of the scale factor and the length of the shortest side of the quadrilateral A. Mathematically speaking, this kind of rigid transformation is represented by the following formula:

r = l' / l      

Where:

If we know that l = 5, then the length of the shortest side of the quadrilateral B is equal to the following linear equation:

l' = 5 · r

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Answer:

The GCF is 1.

Step-by-step explanation:

The factors of 1 are: 1

The factors of 1 are: 1

The factors of 2 are: 1, 2

The factors of 3 are: 1, 3

The factors of 4 are: 1, 2, 4

The factors of 5 are: 1, 5

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 89 are: 1, 89

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The factors of 176 are: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Then the greatest common factor is 1.

Answer:

Step-by-step explanation:

That expression can be written as:

Hope it helped,

The solution is:

[tex]-7\leq x\leq -4[/tex] or [tex]-2\leq x\leq 1[/tex]