Given that y varies directly as x², find the percentage increase in y when x doubles.

Answers

Answer 1

Answer:400%

Step-by-step explanation: by the commutativity of multiplication we find (2x)^2=4(x^2)=4(y)


Related Questions

Work out the bearing of Y from W.
(Not drawn accurately)

Answers

Answer:

206°

Step-by-step explanation:

The bearing of y from w is the angle y makes with w moving from the north pole in clockwise direction.

So from the north pole, move in clockwise direction and stop at the line joining w and y

the angles there are 90+116= 206°

Therefore the bearing of Y from W is 206°

D is the midpoint of AB and E is the midpoint of BC. If AC=48, what is the length of DE ?

Answers

Answer:

24 is the answer for the following

Step-by-step explanation:

please mark me as brainlest

Can line r be parallel to line s and line p be parallel to line q at the same time ? Explain

Answers

Yes, the line r is parallel to the line s and the line p is parallel to the line q.

Parallel lines are straight lines that do not intersect at any point.They never meet. They are always in the same distance. But they are not always ways inIf two lines AB and CD are parallel, then it can be represented by AB || CD. Some examples: Cricket stumps, white lines of zebra crossing, opposite boundaries of an rectangular box, etc.

Here the given lines are p, q, r, s.

Line p and q are parallel to each other.

and the line p is parallel to the line q.

Therefore, Yes, the line r is parallel to the line s and the line p is parallel to the line q.

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The sum of three consecutive multiples of 7 is 693. Find the no​

Answers

Let x be a multiple of 7

The next two consecutive multiples of 7 are x + 7 and x + 7 + 7 (i.e. x + 14)

Three consecutive multiples of 7 are

xx + 7x + 14

According to the condition

[tex] \\ \large\blue\longrightarrow\rm \large \:x \: + \: (x \: + \: 7) + (x \: + \: 14) \: = \: 693[/tex]

[tex] \large\blue\longrightarrow \rm \large \:3x \: + \: 21 \: = \: 693[/tex]

[tex] \large\blue\longrightarrow \rm \large \:3x \: = \: 693 \: - \: 21[/tex]

[tex] \large\blue\longrightarrow \rm \large \:3x \: = \: 672[/tex]

Dividing both sides by 3 , we have

[tex]\large\blue\longrightarrow \rm \large \: \frac{3x}{3} \: = \: \frac{672}{3} \\ [/tex]

[tex]\large\blue\longrightarrow \rm \large \: \ \: \frac{ \cancel3x}{ \cancel3} \: = \: \frac{ \cancel{672} \: \: ^{ \red{224}} }{ \cancel3} \\ [/tex]

[tex]\large\blue\longrightarrow \rm \large \:x \: = \: 224 \\[/tex]

x = 224x + 7 = 224 + 7 = 231x + 14 = 224 + 14 = 238

Three consecutive multiples of 7 are

224231238

Charlie is installing new carpet in his rectangular living room, which is 5 feet longer than it is wide. He has received quotes for the total
installation costs from two different contractors for the same style of carpet.
Contractor A charges an installation fee of $125 plus $2 per square foot for the carpet.
Contractor B charges an installation fee of $75 plus $2.50 per square foot for the carpet.
Based on this information, which system of equations could be used to determine the width of the living room, x, in feet, at which the
quote for the installation costs, y, is the same for both companies?

Answers

Considering the area of a rectangle, the equation that could be used to determine the width for which the costs are the same is:

125 + 2(x² + 5x) = 75 + 2.5(x² + 5x)

What is the area of a rectangle?

The area of a rectangle of length l and width w is given by the multiplication of dimensions, that is:

A = lw

In this problem, the dimensions are given as follows:

w = x, l = x + 5.

Hence the area in square feet is:

A = x(x + 5) = x² + 5x.

Then the costs are given as follows:

A(x) = 125 + 2(x² + 5x).B(x) = 75 + 2.5(x² + 5x).

The costs will be equal when:

A(x) = B(x)

125 + 2(x² + 5x) = 75 + 2.5(x² + 5x)

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Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

when 7 is subtracted from 3 times a certain number , the result is 28. What is the number

Answers

The number will be equal to 11.67.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be formed from the given data. Let the number be x so the expression will be:-

3x - 7 = 28

3x = 35

x = 35 / 3

x = 11.67

Therefore the number will be equal to 11.67.

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Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to
complete the statement.
(11j³k²) (³4)
When j = -8and k = 7

Answers

The value of the expression for the given values is 1294139

Evaluating an expression

From the question, we are to rewrite the expression

(11j⁻³k²) (j³k⁴)

This can be rewritten as

11 × j⁻³ × k² × j³ × k⁴

11 × j⁻³ × j³ × k² × k⁴

11 × j⁻³⁺³ × k²⁺⁴

11 × j⁰× k⁶

= 11 × 1 × k⁶

= 11k⁶

Now we are to evaluate the expression for when j = -8 and k  = 7

The expression is

= 11 × k⁶

= 11 × 7⁶

= 1294139

Hence, the value of the expression for the given values is 1294139

Here is the complete question:

Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to

complete the statement.

(11j⁻³k²) (j³k⁴)

When j = -8 and k = 7

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Answer:

539

Step-by-step explanation:

Find the value of x. Then find the measure of each labeled angle.

Answers

Answer:

x = 70 and the labeled angles are 110 and 70

Step-by-step explanation:

This is a trapezoid, the bases are parallel.

Since the bases are parallel, given two angles are supplementary and their sum is equal to 180:

x + 40 + x = 180 add like terms

2x + 40 = 180 subtract 40 from both sides

2x = 140 divide both sides by 2

x = 70 and the labeled angles are 110 and 70

inequalities i need help question is in picture

Answers

Answer:

19-73 19-73 is fine thanks 70-65-46 024 465 8554 48-57

Find the value of x. Round the length to the nearest tenth.

Answers

Answer:

6 m

Step-by-step explanation:

[tex]sin22 = x/16\\x = 16sin22\\x = 6[/tex]

Help please I'll mark you as brainlist if the answer is correct

if (x + q) is a factor of two polynomials x2 + px + q and x2 + mx + n, then prove that a = n-q m-p​

Answers

If (x + q) is factor of two polynomial [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex] than [tex]a = \frac{n - q}{m- p}[/tex].

x + a is factor of equations  [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex]

What is a polynomial equation?

Polynomial equation is equation of independent variables.


Putting it in both the equations

[tex]x^2+px+q=0[/tex]                          
[tex](-a)^2+p(-a)+q=0\\a^2-ap+q=0 ........(1)[/tex]  

[tex]x^2+mx=n = 0\\(-a)^2+m(-a)+n=0\\a^2-am+n=0 .....(2)[/tex]

subtracting (2) from (1)

[tex]-am+ap+n-q=0[/tex]
[tex]a=\frac{n-q}{m-p}[/tex]

Thus, the required expression is [tex]a=\frac{n-q}{m-p}[/tex].

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Hi, can someone help please? Thanks! Calculate the correlation coefficient of the following data

Answers

Answer:

Option C is correct

Correlation coefficient of the following data is 0.37

Step-by-step explanation:

Correlation coefficient formula :

r = Σ [([tex]x - x_{m}[/tex]) × ([tex]y - y_{m}[/tex])] ÷ √ [Σ [tex](x - x_{m})^{2}[/tex] × Σ [tex](y - y_{m}) ^{2}[/tex]]

x =  Data points in Data set x

y =  Data points in Data set y

[tex]x_{m}[/tex]= Mean of Data set x

[tex]y_{m}[/tex]= Mean of Data set y

Now put all the values and sumation it as of given in the formula

Mean of Data set x = (1+4+8+6+2)÷5 = 21÷5 = 4.2

Mean of Data set y = (16+20+15+22+9)÷5 = 82÷5 = 16.4

Now put the values in the equation

r = Σ [(x - 4.2) × (y - 16.4)] ÷ √ [Σ [tex](x - 4.2)^{2}[/tex] × Σ [tex](y - 16.4) ^{2}[/tex]]

Now put every single value of x and y and after we will get the required Correlation coefficient.

And that is Correlation coefficient of the following data is 0.37

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John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.

Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic?

w(w – 2) = 48
w(w + 2) = 48
2w(w – 2) = 48
2w(w + 2) = 48

Answers

The equation that could John solve to find w, the greatest width in centimeters he can use for the mosaic is option B: w(w + 2) = 48.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The mosaic to be formed is rectangular in shape.

Area of a rectangle = length x width

The length is longer than the width by 2,

So, length = w+2

Area of a rectangle = (w+2) x w

The correct equation is B: w(w + 2) = 48

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Answer: B

Step-by-step explanation:

If angle D is an acute angle and its tangent ratio is 1.055, then what is the measure of angle D to the nearest tenth of a degree?

Answers

The measure of angle D to the nearest tenth of a degree is 47 degrees

Application of SOH CAH TOA

This theorem is used to determine the measure of sides and angles of a triangle.

According to the theorem

tan theta = opp/adj = 1.055

theta = arctan(1.055)

theta = 46.53 degrees

Hence the measure of angle D to the nearest tenth of a degree is 47 degrees

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4(p+q) /p-q x q+p/8(p+q)

Answers

Answer:

[tex]\frac{q+p}{2(p-q)}[/tex]

Step-by-step explanation:

[tex]\frac{4(p+q)}{p-q} *\frac{q+p}{8(p+q)}[/tex]

We will cancel out like terms.

[tex]\frac{4}{p-q} *\frac{q+p}{8}\\=\frac{4(q+p)}{8(p-q)} \\=\frac{q+p}{2(p-q)}[/tex]

2) You translate an object point 3 units to the right and 2 units down. Explain (with the aid of an equation) how you would find the coordinates of the image point. (4 marks)​

Answers

Answer: By adding 2 to y and subtracting x by 3.

Step-by-step explanation: Let’s use the equation y = x since it’s simple. In order to translate an equation anywhere to the right, you have to subtract x by a unit. Since it’s 3 units, the equation is now y = x - 3. To translate an equation down, you have to add a unit to y. Since the questions asks for two units, add 2 to y. The equation should now be y + 2 = x - 3.


a city's monthly precipitation amounts, in inches, for the last two years are recorded in the table. which histogram corresponds to the table?

Answers

Based on the given histograms, and the table on the city's monthly precipitation amounts, the histogram that corresponds to the table is Histogram 1.

Which histogram is the appropriate fit?

The number of months with 0 - 1.992 inches is 8 months which means that the first bar on the histogram of between 0 to 2 inches should reach the 8 month mark.

6 months had 1.992 - 3.994 inches so the next bar should stop at the 6th month mark. The next bar should stop at the 4 month mark.

The one after that should stop at the 5 month mark. The last bar would stop at the 1 month mark.

The only histogram that has this is histogram 1 which is not shown clearly but it likely the only one with these qualities as the others don't have it.

Rest of the question:

Amount (inches) 0 - 1.992 - 3.99 4 -5.996 - 7.998 - 9.99

Number of Months 8           6          4          5            1

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Solve this question please

Answers

The expansion of the polynomial is given as:

[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The expansion is given as:

[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]

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can someone please help and explain these problems ??

Answers

Answer:

AAA

Step-by-step explanation:

yesss

The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42
(x minus 1) + x + (x + 1) = 42
(x minus 2) + x + (x + 2) = 42
x + 2 x + 3 x = 42

PLS HELP

Answers

Answer:

x+(x+1)+(x+2)=42

3x+3=42

3x=42-3

3x/3=39/3

x=13

Step-by-step explanation:

hope I helped

Golf balls cost $0.90 each at Jerzy’s Club, which has an annual $25 membership fee. At Rick and Tom’s sporting-goods store, the price is $1.35 per ball for the same brand. Where you buy your golf balls depends on how many you wish to buy. Explain, and illustrate your reasoning with a graph.

Answers

Answer:

See attached graph.

Step-by-step explanation:

Each situation can be expressed as an equation:

Jerzy: Total Cost (y1) is the $25 membership fee plus $0.80/golf ball (x):

y1 = $25 + $0.90x

Rick and Tom's:  Total Cost (y2) is $1.25 per golf ball, x.

y2 = $1.25x

See the attached graphs of these two equations.  Jerzy's cost less after 56 balls are purchased.

2+2 I
dont know how but 4 was wrong guys am I not thinking right?

Answers

Answer:

Maybe the question could've been 2+2+1. I'd say read the question properly.

Step-by-step explanation:

In which case, 2+2+1= 5

A ration of two numbers is equal to 3:8 if the smaller number is 14 find the greatest number

Answers

Answer:

34 and ⅔

Step-by-step explanation:

added in the picture

Which point has coordinates (5,-7pi/6)?

Point A
Point B
Point C
Point D

Answers

The answer is Point C

a television set was priced $1659 after a 30% discount. What original price before the discount?​

Answers

Answer:  $2370

=======================================================

Work Shown:

x = price before the discount

30% of x = 0.30x = amount saved

x - 0.30x = 0.70x = price after discount = 1659

0.70x = 1659

x = 1659/(0.70)

x = 2370

Given:SP= $1659Discount given= 30%OP= ?Note that:SP= Selling Price OP= Original Price To find:The original price of the television set before the discount was given.Solution:Original price is the actual selling price of an item which is also know as list price.

First we'll have to convert the percent into decimal.

We'll have to divide the value by 100.

[tex]\frac{30}{100}[/tex]

[tex]\bold{=0.30}[/tex]

Now, we can find the original price.

[tex]\large\boxed{\bold{Formula:OP= \frac{price}{1-Discount}}}[/tex]

We have all the necessary values to find the original price.

Let's solve!

Substitute the values according to the formula.

[tex]OP=\frac{1659}{1-0.30}[/tex]

OP= $2370

Therefore, the original price of the television set is $2370

Which of the following is equivalent to the logarithmic equation below? in x=3​

Answers

it’s A or x=e^3


on edge, hope that helps :)

what is the ratio 3:1

Answers

Answer:

3:1

Step-by-step explanation:

3 and 1 is not divisible by any number

Use properties to evaluate 3/4(1/5÷3/5)(-8).
A. 2
OB. 5
O C. -2
OD. -5

Answers

Answer:

C. -2

Step-by-step explanation:

Use A-P-E-X

How I solved it:

3/4(1/5÷3/5)(-8)

3/4(1/5×5/3)(-8)

3/4(1/3)(-8)

1/4(-8)=-2

Hope this helps!

If not, I am sorry.

If f(x) = 3x^2 - x, find f(-2).

Answers

Answer:

14

Step-by-step explanation:

to find f(value), we plug that x value into the equation

so, if..

f(x)= 3x² -x

f(-2)= 3 · (-2)² - (-2)

f (-2) = 3 · 4 + 2

f (-2) = 12 + 2

f (-2)  = 14

Answer:

14

Step-by-step explanation:

f(x) =3x^2-x

here,

f(-2)= 3(-2)^2 -(-2)

=3*4+2

=12+2

=14 Answer.

Please help answer needed asap

Answers

Answer:

A

Step-by-step explanation:

a = 3n-30       solve for 'n'

a + 30 = 3n

n = (a+30)/3

n(a) = (a+30)/3

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