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Write f(x) = 2×2 44x + 185 in vertex form. to write f(x) = 2×2 44x + 185, factor out from the first two terms. next, form a perfect square trinomial keeping the value of the function equivalent: f(x) = 2(x2 22x + 121) + 185 242 the function written in vertex form is f(x) = (x )2 + .

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Answer:

To write f(x) = 2×2 – 44x + 185, factor out   2 from the first two terms.

Next, form a perfect square trinomial keeping the value of the function equivalent:

f(x) = 2(x2 – 22x + 121) + 185 – 242

The function written in vertex form is f(x) = 2 (x –
11
)2 +  -57.

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Which expression is equivalent to 17s – 10 + 3(2s + 1)

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Which expression is equivalent to 17s – 10 + 3(2s + 1)

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The table shows conversions of common units of length. Unit of Length Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers How many miles are equivalent to 800 meters? Round answer to the nearest hundredth. 0.50 miles 1.29 miles 2.62 miles 4.97 miles

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The table shows conversions of common units of length. Unit of Length Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers How many miles are equivalent to 800 meters? Round answer to the nearest hundredth. 0.50 miles 1.29 miles 2.62 miles 4.97 miles

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Which expression is equivalent to 7a^2b + 10a^2b^2 + 14a^2b^3? A) ab(7a^2 + 10ab + 14b^2) B) a^2b(7 + 10b + 14b^2) C) 7a^2(b + 3b^2 + 7b^3) D) 7a^2b^3(b^2 + 3b + 7)

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Answer:

Option: B is the correct answer.

           B) a^2b(7+10b+14b^2)

Step-by-step explanation:

We are given an algebraic expression in terms of the variable ‘x’ and ‘y’ as:

7a^2b+10a^2b^2+14a^2b^3

Now we are asked to find the expression that is equivalent to the above expression.

We could clearly observe that each of the term in the expression has a common term as: a^2b

Hence, we take out common this common term and write the remaining expression in  bracket as:

                    a^2b(7+10b+14b^2)

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Which is equivalent to 4/9 1/2^x

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Which is equivalent to 4/9 1/2^x

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What expression is equivalent to (x^27y)^13

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What expression is equivalent to (x^27y)^13

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Which value is not equivalent to the other values 1/25 , 0.04 , 4% , 0.4?

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Which value is not equivalent to the other values 1/25 , 0.04 , 4% , 0.4?

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Equation equivalent to r=1+2sin Ø

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Equation equivalent to r=1+2sin Ø

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Which expression is equivalent to -28 xy + 35 y

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Which expression is equivalent to -28 xy + 35 y

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For anybody that's like decent at math. Find an equivalent function to f(x) = 3(6)2x. f(x) = 3(36)x f(x) = 182x f(x) = 108x f(x) = 9x(36x)

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For anybody that’s like decent at math. Find an equivalent function to f(x) = 3(6)2x. f(x) = 3(36)x f(x) = 182x f(x) = 108x f(x) = 9x(36x)

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Describe how to verify whether expressions are equivalent and explain the purpose of verifying equivalent expression

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In order to determine whether two expressions are equivalent to one another, they are equated using an equals to sign (=) and then simplified. Upon simplification, the expressions should yield a logical and true statement. For example, a simplified expression may present
2 = 2
If such a case is present, then we know that the expressions are indeed equal. However, if the two sides are not equal, lets say
2 = 3
Then the expressions are not equal.

By verifying expressions, we are usually able to cross check our solutions to problems and also determine whether the answer(s) obtained makes sense. 

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Which percent is equivalent to 2.5? 2.5% 25% 250% 2,500%?

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Answer:

The correct option is 1.

Step-by-step explanation:

It is given that Inez has to pay 4 percent in closing costs and 16 percent for the down payment on a purchase of $225,500 with an ARM.

So, Inez has to pay 20% of $225,500.

225500times frac{20}{100}=45100

Therefore Inez has to pay $45100 as closing cost and down payment.

Over the life of the loan, she will pay $262,072.72.

The total cost of her house is the sum of $262,072.72 and $45100. Because the total cost is the sum of down payment, closing cost and the payments over the life of the loan.

$262,072.72+$45100=$307,172.72

Therefore the correct option is 1.

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Which expressions are equivalent when m1 and m4

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Answer:  The correct option is (B) dfrac{sqrt{17}+sqrt{2}}{sqrt{17}+sqrt{2}}.

Step-by-step explanation:  We are given to select the correct fraction by which the following be multiplied to produce an equivalent fraction with a rational denominator.

F=dfrac{3}{sqrt{17}-sqrt2}~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

to rationalize the denominator having radical terms, we multiply both numerator and denominator by a common term which contains the opposite sign before the radical term as in the original denominator.

In the given denominator, both terms are radical ones, so we can change the sign of any one of them and then multiply to the denominator and numerator simultaneously.

So, we will multiply both numerator and denominator by the term sqrt{17}+sqrt2.

From (i), we have

F\\=dfrac{3}{sqrt{17}-sqrt2}\\\=dfrac{3(sqrt{17}+sqrt{2})}{(sqrt{17}-sqrt{2})(sqrt{17}+sqrt{2})}\\\=dfrac{3(sqrt{17}+sqrt{2})}{17-2},~~~~~~~~textup{since}~(a+b)(a-b)=a^2-b^2\\\=dfrac{3(sqrt{17}+sqrt{2})}{15}\\=dfrac{sqrt{17}+sqrt{2}}{5}.

Thus, the denominator is rationalized and the required fraction to be multiplied is

dfrac{sqrt{17}+sqrt{2}}{sqrt{17}+sqrt{2}}.

Option (B) is CORRECT.

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If the lease factor is given 0.00045, what interest rate is that equivalent to

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Answer:  The correct option is (B) dfrac{sqrt{17}+sqrt{2}}{sqrt{17}+sqrt{2}}.

Step-by-step explanation:  We are given to select the correct fraction by which the following be multiplied to produce an equivalent fraction with a rational denominator.

F=dfrac{3}{sqrt{17}-sqrt2}~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

to rationalize the denominator having radical terms, we multiply both numerator and denominator by a common term which contains the opposite sign before the radical term as in the original denominator.

In the given denominator, both terms are radical ones, so we can change the sign of any one of them and then multiply to the denominator and numerator simultaneously.

So, we will multiply both numerator and denominator by the term sqrt{17}+sqrt2.

From (i), we have

F\\=dfrac{3}{sqrt{17}-sqrt2}\\\=dfrac{3(sqrt{17}+sqrt{2})}{(sqrt{17}-sqrt{2})(sqrt{17}+sqrt{2})}\\\=dfrac{3(sqrt{17}+sqrt{2})}{17-2},~~~~~~~~textup{since}~(a+b)(a-b)=a^2-b^2\\\=dfrac{3(sqrt{17}+sqrt{2})}{15}\\=dfrac{sqrt{17}+sqrt{2}}{5}.

Thus, the denominator is rationalized and the required fraction to be multiplied is

dfrac{sqrt{17}+sqrt{2}}{sqrt{17}+sqrt{2}}.

Option (B) is CORRECT.

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The relationship between feet and inches is described by the equation y = 12x, where x = a given length in feet and y = the equivalent length in inches. If a table is 7.25 feet long, what is its length in inches? A. 84 inches B. 87 inches C. 81 inches D. 90 inches

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The relationship between feet and inches is described by the equation y = 12x, where x = a given length in feet and y = the equivalent length in inches. If a table is 7.25 feet long, what is its length in inches? A. 84 inches B. 87 inches C. 81 inches D. 90 inches

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Which of the following are equivalent to 160%? 0.16 1.6 1 3/5 5/8

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Which of the following are equivalent to 160%? 0.16 1.6 1 3/5 5/8

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The four steps necessary to complete a cost of production report in a process cost system are 1. allocate costs to transferred and partially completed units 2. determine the units to be assigned costs 3. determine the cost per equivalent unit 4. calculate equivalent units of production the correct ordering of the steps is 2, 3, 4, 1 2, 4, 3, 1 4, 2, 3, 1 2, 3, 1, 4

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127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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Department w had 2,400 units, one-third completed at the beginning of the period; 16,000 units were transferred to department x from department w during the period; and 1,800 units were one-half completed at the end of the period. assume the completion ratios apply to direct materials and conversion costs. what is the equivalent units of production used to compute unit conversion cost on the cost of production report for department w? assume the company uses fifo.

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The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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Which number is equivalent to the fraction 18/5

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Answer:

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

So, AD=AB=44.8 cm

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=  x+y=84.8 …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

H^2=P^2+B^2

(44.8)^2=x^2+z^2  ………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

H^2=P^2+B^2

(72)^2=y^2+z^2 …………[3]

Subtract [2] and [3]

(72)^2-(44.8)^2=y^2+z^2-x^2-z^2

5184-2007.04=(x+y)(x-y)

3176.96=(84.8)(x-y)

37.464=x-y ……….[4]

Add equation [1] and [4], to get values of x and y

x+y+x-y=84.8+37.464

2x=122.264

x=61.132

Substitute x in [1]

x+y=84.8

61.132+y=84.8

y=23.668

Substitute value of x in equation [2], to get z

(44.8)^2=x^2+z^2

(44.8)^2=(23.668)^2+z^2

2007.04-560.174224=z^2

z=sqrt{1446.865776}

z=38.06

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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What logarithimc equation is equivalent to 8 square equal 64

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The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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Which expression is equivalent to 3(8 + 7)?

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127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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What is equivalent to y-0.32y?

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Answer:  The correct option is (B) dfrac{sqrt{17}+sqrt{2}}{sqrt{17}+sqrt{2}}.

Step-by-step explanation:  We are given to select the correct fraction by which the following be multiplied to produce an equivalent fraction with a rational denominator.

F=dfrac{3}{sqrt{17}-sqrt2}~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

to rationalize the denominator having radical terms, we multiply both numerator and denominator by a common term which contains the opposite sign before the radical term as in the original denominator.

In the given denominator, both terms are radical ones, so we can change the sign of any one of them and then multiply to the denominator and numerator simultaneously.

So, we will multiply both numerator and denominator by the term sqrt{17}+sqrt2.

From (i), we have

F\\=dfrac{3}{sqrt{17}-sqrt2}\\\=dfrac{3(sqrt{17}+sqrt{2})}{(sqrt{17}-sqrt{2})(sqrt{17}+sqrt{2})}\\\=dfrac{3(sqrt{17}+sqrt{2})}{17-2},~~~~~~~~textup{since}~(a+b)(a-b)=a^2-b^2\\\=dfrac{3(sqrt{17}+sqrt{2})}{15}\\=dfrac{sqrt{17}+sqrt{2}}{5}.

Thus, the denominator is rationalized and the required fraction to be multiplied is

dfrac{sqrt{17}+sqrt{2}}{sqrt{17}+sqrt{2}}.

Option (B) is CORRECT.

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Which expression is equivalent to 3(8 + 7)? 24 + 7 24 + 21 11 + 10 11 + 7

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127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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Which pair of algebraic expressions is equivalent? A. 7(1 – k) and 7 – k B.7(1 – k) and 1 – 7k C.7(1 – k) and 7 – k D.7(1 – k) and 7 – 7k IF THERE'S WORK PLEASE SHOW THANKS:)

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Which pair of algebraic expressions is equivalent? A. 7(1 – k) and 7 – k B.7(1 – k) and 1 – 7k C.7(1 – k) and 7 – k D.7(1 – k) and 7 – 7k IF THERE’S WORK PLEASE SHOW THANKS:)

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Choose the best Spanish equivalent to the phrase.Give them to me! (the papers) A ¡Dámelas!B ¡Dámelos!C ¡Me los da!D ¡Me las da!

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The correct answers are A. Written in an elevated language, B. Celebrates the life of a legendary hero and E. Is a long narrative

Explanation:

The Epic poetry is a type of poetry that originated in Ancient Grece and that was mainly used to narrate the actions of a hero or heroine, especially in relation to extraordinary deeds that implied struggling against supernatural forces and represented a positive example of moral. Because of this, it was common epic poems were long narratives as they do not only celebrated the life and features of a hero or heroine but tells the actions and story behind them. Additionally, to this, it was common epic poems were written in a complex elevated language or highly stylized language, considering these poems combined the lyrical and dramatic traditions found in other forms of literature such as plays or myths. Considering this, the main characteristics of an epic poem were (A) written in complex or elevated language that mixes different literary styles, (B) use to celebrate the actions and features of a hero and (E) long narrative as the story of the hero including the difficulties faced were explained.

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