A quantity y varies inversely with the square of x. If y=8 when x=3, find y when x is 4
A. 3/2
B. 7/3
C. 9/2
D. 5/3

Answer:

D. 6

Step-by-step explanation:

Suppose the triangles are similar:

The side lenghts would be proportional as follows

XZ/DF = XY/DE

12/8 = 9/x cross multiply expressions

12x = 72 divide both sides by 12

x = 6

Answer:

  C.  x - y > x

Step-by-step explanation:

You can compare the values of these expressions by using numerical values for x and y.

__

We can let x = 1 (a positive integer), and y = -1 (a negative integer).

  y > x + y

  -1 > 1 + (-1)

  - 1 > 0 . . . . . . false

  y < xy

  -1 < (1)(-1)

  -1 < -1 . . . . . . false

 x - y > x

  1 - (-1) > 1

  2 > 1 . . . . . . true

  -xy < x

  -(1)(-1) < 1

  1 < 1 . . . . . . . false

Answer:

1 solution

Step-by-step explanation:

8m = - 48 ( divide both sides by 8 )

m = - 6 ← is the only solution

Answer:  [tex]\frac{3(6-3)-2x^{2}+15 }{5} : \frac{-2x^{2}+24 }{5}[/tex]

You're welcome.

Answer:

a=3

Step-by-step explanation:

gradient = rise /run

   for a  =6/2 =3

Answer:

So i think it woulds be a 12 by 12 house beceasue 9+3=12 so it would be 12 by 12

Hope This Helped Sorry if It Is Not What You Wanted.

Answer:

144 ft ²

Step-by-step explanation:

Given:

A tiny house has a length of 12 feet. the width of the kitchen is 9 feet ad the width of the bathroom is 3 feet.

Solve:

The expression 12(9+3) represents the total area in square feet.

Hence you can use the expression 12(9+3) to find the area.

12(9+3)        {Solve in the parentheses}

12(12)           {Multiply}

= 144

Hence, the area is 144 ft ²

Kavinsky

Answer:

3<x<34

Step-by-step explanation:

(Big side to big angle)

Solution: 27>26 => 93°>3x - 9°

102°>3x

34>x

HOPE THIS HELPS AND HAVE A NICE DAY <3

5xy - 4x

Step-by-step explanation:

6xy-xy= 5by

-5x+ x= -4x

Hey there!

6xy - xy - 5x + x

= 6xy - 1xy - 5x + 1x

COMBINE the LIKE TERMS

= (6xy - 1xy) - (5x + 1x)

= 6xy - 1xy - 5x + 1x

= 6xy - xy - 5x + x

= 5xy - 4x

Therefore, the answer should be:

5xy - 4x

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

B

Step-by-step explanation:

circle equation is :

[tex](x - a) ^{2} + (y - b) ^{2} = r^{2} [/tex]

With (a) being the x coordinate of the centre and (b) being the y coordinate of the centre, r is the radius;

make sure to square the radius when using it in this formula

Answer:

50 calories

Step-by-step explanation:

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:

= 90/150 = 3/5

One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:

= 12/120 = 1/10

The fat that are provided by a 100 calorie serving of the microwave popcorn would be:

= 3/5 × 100

= 60

The fat that are provided by a 100-calorie serving of the pretzels would be:

= 1/10 × 100 = 10

The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:

= 60 - 10

= 50 calories

Answer:

A. 42.1%

Step-by-step explanation:

The product of the expression [tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1}[/tex]  is the expression [tex]\frac{2}{k+2}[/tex]

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

Given the expression:

[tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1} \\\\This\ can\ be\ simplified\ to:\\\\(\frac{2(2k+1)(k-2)}{(k+2)(k-2)(2k+1)}) \\\\=\frac{2}{k+2}[/tex]

The product of the expression [tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1}[/tex] is the expression [tex]\frac{2}{k+2}[/tex]

Find out more on equation at: https://brainly.com/question/2972832

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Answer:

1/4.

Step-by-step explanation:

1/8 plus 1/8 is 2/8. This is because if we add the numerators it is 2, and therefore it is 2/8. This simplifies to 1/4 if you divide the numerator and denominator by 2. Hope this helps!

Answer: 1/4

Step-by-step explanation: 1/8 + 1/8= 2/8 and if you simplify that it would be 1/4 sorry if this doesn't help

Answer:

the 6 aunts

Step-by-step explanation:

because all of them together add up to 24. 25 percent of 24 is 6.

She could put 6 markers and 8 stickers in each bag to make 8 bags in total.

Answer:

-7.6

Step-by-step explanation:

there are many correct answers for this problem

The number that is greater than -7.81 and less than -7 is -7.41. This can be written as -7.81 < -7.81 < -7. This is obtained by taking the midpoint or middle integer of the given integers.

Given that a number that is greater than -7.81

so, we can write -7.81 <?

And it is also given that the same number which is less than -7. we can write it as -7 >?

So, from this two we can state that the number which is required lies in between the given two integers.

so, we can write -7.81 <?< -7

To find this, we are applying the average for the two integers.

⇒ -7.81 - 7 = -14.81

⇒ -14.81/2 =-7.405 ≅ -7.41

The obtained number satisfies the given conditions

-7.81 < -7.41 and -7 > -7.41

Therefore, the required number is -7.41.

Learn more about integers here:

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Answer:

coordinate, acute, ray, acute, star, ray

Step-by-step explanation:

The United States has a complex government system. One important tenet of this system is democracy, in which the ultimate power rests with the people. In the case of the United States, that power is exercised indirectly, through elected representatives. Although the U.S. has been a strong proponent of democracy, it did not invent democracy. The Greeks are often credited with pioneering a democratic government that went on to influence the structure of the United States. Read this article that describes how elements of ancient Greek democracy heavily influenced the figures that designed the United States government.

Answer:

x=18

Step-by-step explanation:

we know that in parallelogram opposite sides are equal

Hence on equating we get

x=18

Answer: [tex]No~Solution[/tex][tex]s[/tex]

Step-by-step explanation:

Let's factor then solve to find the complex solutions.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : [tex]-4x-11=2(x-3x)+13[/tex]

Equations that are never true:

[tex]1.1 ~~~~ Solve : -24 = 0[/tex]

This equation has no solution.

A non-zero constant never equals zero.

Therefore your answer is [tex]No~Solution[/tex]

[tex]\text{Compare}~ x^2 +5x +4=0~ \text{with the standard form of quadratic equation}~ \\\\ax^2 +bx +c =0\\\\a=1\\\\b=5\\\\c=4\\\\\sqrt{b^2 -4ac} = \sqrt{5^2 -4 \cdot 1 \cdot 4} = \sqrt{25 -16} = \sqrt{9} =3[/tex]

In ∆DAC and ∆BCA

Diagonals of a parallelogram bisect each other

Opposite angles are equal

Also

And

Opposite sides are equal in a parallelogram

So by Side-angle-side similarity

Both triangles are equal

Hence

Answer:

Step-by-step explanation:

total type of books are 4 types

the probability of one book is 60

so the probability of type of a book is 4/60=1/15

Answer:

Domain is -1 ≤ x ≤ 1.

Range is  0 ≤ y ≤ π/2.

Step-by-step explanation:

The  arcsin only exists for  -1 ≤ x ≤ 1 so this domain is

-1 ≤ x ≤ 1.

When x = 1 or -1 ,  y =  arcsin(1^2) = π/2

When x = 0 , y = 0.

Answer:

35 quizzes

Step-by-step explanation:

We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.

We do this by using the formula [tex]\displaystyle nCr=\frac{n!}{r!(n-r)!}[/tex] which describes the number of ways we can choose [tex]r[/tex] objects given [tex]n[/tex] possible choices. So, if [tex]n=7[/tex] and [tex]r=4[/tex], then:

[tex]_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35[/tex]

Hence, the teacher can make 35 different geometry quizzes.

Answer:

yes

Step-by-step explanation:

lol

Answer:

When X = 24

Step-by-step explanation:

Use derivative to locate the turning point.

48 - 2X = 0, => X = 24

Answer:

A or B because it is the same aswner

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Sadie's earnings varys directly with the number of hours worked.

The number of hours worked in a week where her earnings would be $210 is 20 hours.

Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases. Sadie's earnings increase with hours worked. This is a direct variation.

Hours worked = Total earnings / earning per hour

210 / 10.50 = 20 hours

To learn more about direct proportion, please check: https://brainly.com/question/27233899

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