If
x
=
4
and
y
=
6
, evaluate the following expression:
2
(
x
+
y
)

Answer:

Step-by-step explanation:

Correct Answer: C

We can rely on the guess and check method to easily solve this problem. Let’s first pick arbitrary values of x and y to eliminate some answer choices.

Let’s consider the case where |x| and let x = 3 and y = -10.

Because x/y = -3/10 < 1, answer choice A is incorrect.

Because |x|2 = (3)2 = 9 and |-10| = 10, we have that |x|2 < y, so answer choice B is also incorrect.

Because x2 + 1= (3)2 + 1 = 10 and y2 + 1 = (10)2 + 1 = 101, we have that x2 + 1 < y2 + 1, so answer choice D is also incorrect.

Now, let’s consider the case where |x|>|y| and let x = 3 and y = -2.

Then, x-2 = 1/x2 = 1/9 and y-2 = 1/y2 = 1/4. This means that x-2 < y-2 , so answer choice E is also incorrect.

This means that answer choice C is correct. We can manipulate the inequality to see why this is true: (x/3 – 5) > (y/3 – 5)

We add 5 to both sides: x/3 > y/3

We multiply both sides by 3: x > y.

We know this is true since we are given that x > 1 > -1 > y, which simplifies to x > y.

The recursive formula for the geometric sequence is:

[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]

The recursive equation for a geometric sequence is:

[tex]f(n) = qf(n - 1)[/tex]

In this problem, the sequence is: {-320, -80, -20, -5, . . .}

Hence, the recursive equation is:

[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]

You can learn more about geometric sequence at https://brainly.com/question/11847927

The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]

The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]

n the following sequence  -320, -80, -20, -5,...

The The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]is given as:

The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]

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Answer:

-1.5

Step-by-step explanation:

To convert a fraction to a decimal number divide the numerator (-3) by denominator (2)

Answer:

-1.5

Step-by-step explanation:

Answer:

256, 3125

Step-by-step explanation:

This may be the sequence n^n:  1^1, 2^2, 3^3, 4^4, 5^5, 6^6, ...

Let's check with the numbers we see:

1^1 = 1

2^2 = 4

3^3 = 27

6^6 = 46656

Yes, this is the sequence n^n.

The 4th term is:

4^4 = 256

The 5th term is:

5^5 = 3125

Answer:

$39.50 is the final payment.

Step-by-step explanation:

0.3 x 53.95 = 16.185

53.95 - 16.185

= 37.765

0.045 x 37.765 = 1.699425 + 37.765

= 39.464425 and round

28 years

Step-by-step explanation:

The dog is twice as old as the cat

The monkey is twice as old as the dog.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Their total age is 4 years 2 months.

1 year has 12 months

=> 4 years have (4 × 12)

= 48 months

Since, the total age is 4 years 2 months, we can express it in "months" by adding "48" and "2".

= 50 months

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Sum of their ages = 50 months

=> x + 2x + 4x = 50

=> 7x = 50

=>x = 50/ 7 months

If we write this in mixed fractions the whole number will represent the number of years.

=

[tex] \mathsf{7 \frac{1}{7} \: \: months}[/tex]

[tex] = \mathsf{7 \: years \: \frac{1}{7} \: \: months}[/tex]

The value of 1/ 7 is really small,I.e., 0.1428...

So, we can ignore the fraction while rounding off the term that makes it

[tex] \mathsf{x = 7yrs.(approx.)}[/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

x is the age of the cat.

The monkey's age is "4x"

= 4 × 7

= 28 years.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

So, the monkey's age is approximately 28 years

Answer:

the dot would be shaded in and from -6 go to the left

Step-by-step explanation:

Answer:

Since y = −2x − 6 and 4x − y = −36, the solution would be B.) (-7, 8).

A solution to the given system of equations is [tex](\frac{100}{3}, \frac{8}{3} )[/tex]

Given the following system of equations:

[tex]y=-2x-64[/tex]  ...equation 1.

[tex]x-y=-36[/tex]   ...equation 2.

To find a solution to the given system of equations, we would use the substitution method:

First of all, we would make x the subject of formula in equation 2.

[tex]x=-36+y[/tex]  ...equation 3.

Substituting eqn. 3 into eqn. 1, we have:

[tex]y = -2(-36+y)-64\\\\y=72-2y-64\\\\y+2y=72-64\\\\3y=8\\\\y=\frac{8}{3}[/tex]

For the value of x:

[tex]x=-36+y\\\\x=-36+\frac{8}{3} \\\\x=\frac{100}{3}[/tex]

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Answer:

0.5/ 10.2

Well its basically

Well first you gotta make sure the 10.2 is a whole number in order to divide

so we can multiply by 10

that turns it into 102

Now what we do do 10.2 we do to 0.5 to make it equal which makes0.5*10=5

Now its easier so its 5/102

Now we just divide normally

*assuming its rounded to the nearest hundredths

0.05

Answer:

d

Step-by-step explanation:

Answer:

1.5ft

Step-by-step explanation:

32/8=4

32/4=8

6/4=1.5

Answer:

A and B

Step-by-step explanation:

A: 2x3=6 6+4=10 so correct

B: 9-9=0 so correct

Answer:

2x+4=10

Step-by-step explanation:

2x=10-4=

2x=6

x=6÷2=

3

Answer:

ang masasabi ko lang thans sa points

Step-by-step explanation:

Answer:  2x for x=3: 2(3) = 6.

Step-by-step explanation:

Answer:

D  [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

For find the slope of whatever line we use the next formula:

[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So in our occasion we have:

[tex]y_2 = 10 \quad \text{and} \quad y_1 = 3\\x_2 = 2 \quad \text{and} \quad x_1 = -1[/tex]

Replacing in the equation:

[tex]\frac{10 - 3}{2 - (-1)} = \frac{7}{3}[/tex]

So the answer is [tex]\frac{7}{3}[/tex]

Answer:

y = x + 4

Step-by-step explanation:

From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).

slope = m = rise/run = 1/1 = 1

The y-intercept is b = 4

y = mx + b

y = x + 4

Answer:

x < -2

Step-by-step explanation:

2(x+4)<2-x

2x+8<2-x

+x        +x

3x+8<2

   -8  -8

3x<-6

x<-2    Divide both sides by 3

Hope this helps!

Answer:

2x+8<2-x

8-2<-x-2x

-3x>6

x>6/3

x<2

Step-by-step explanation:

I think it's smtg like this

Answer:

Total percent: 3.7%

Step-by-step explanation:

(2000 x 0.01) + (4240 x 0.05) = $232

X/100 = 232/6240

= 23200/6240 = 3.7%

Answer:

1+2+3- -9+236359

Step-by-step explanation:

Answer:

y=-4x-7

Step-by-step explanation:

if you use the slope formula, y2-y1 over x2-x1 using any two points from the grid, you get a slope of -4.

if you use the slope intercept form, y=mx+b, and plug in y, m the slope, and x, you get -3=-4(-1)+b

if you solve that, you get -3=4+b

and if you isolate 4 by subtracing 4 from both sides, b=-7.

then you plug slope and y intercept into formula, and get y=-4x+b

Willie needs to keep same force acting by him on the cart inorder to balance the force.

Let's check how?

[tex]\\ \sf\longmapsto F_{net}=100-100=0N[/tex]

.Hence verified

Answer:

D Each package has 8 yellow candle chips. A total of 18 packages will have 144 yellow candle chips.

Step-by-step explanation:

8/1 is proportional to 144/18

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

Given that, a candle factory makes colored candles to sell in packages.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

A) Does not a represents a proportional relationship

B) Does not a represents a proportional relationship

C) The cost of one package is $1.98 and the cost of 10 packages is $16.99.

Here, the number of packages increases, the cost also increases. So, it is direct proportion.

D) In one package there are 8 yellow candle chips and 18 packages will have 144 yellow candle chips.

Here, the number of packages increases, the number of chips also increases. So, it is direct proportion.

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

To learn more about the proportional relationship visit:

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Answer:

[tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

2 1/4 + 2/5 / (-1/2)-1/4

order of operation states you do division before subtraction or addition

2 1/4 -4/5 -1/4....divide 2/5 by -1/2

2 - 4/5.................combine like terms

6/5........................subtract

1 1/5.......................simplify

Answer:

L - 10 . W - 5

Step-by-step explanation:

Length = 3*width - 5

area = length * width

50 = (3w-5)* w

50 = 3w^2-5w

0 = 3w^2 - 5w -50

0= (3w+10)(w-5)

w = 5 , w can't equal -10/3 because width can't be negative

width is 5

Length = 3 * 5 - 5

Length = 10 , width = 5

Answer:

first lets say w is the width

50(area)=w(idth)+3(w-5)

50=w+3w+15

50=4w+15

35=4w

8.75=w

w equals 8 3/4

Hope This Helps!!!

Answer:

I think 9 days

Pls mark as brainliest answer if it helps you

in one month we have 31 days so

Answer:

Step-by-step explanation:

3/6 x 8

= ( 3 x 8 ) / 6

= 24 / 6

4/7 x 2

= ( 4 x 2 ) / 7

= 8 / 7

9/2 x 3

= ( 9 x 3 ) / 2

= 27 / 2

8/5 x 7

= ( 8 x 7 ) / 5

= 56 / 5

3/9 x 5

= ( 3 x 5 ) / 9

= 15/9

7/4 x 4

= ( 7 x 4 ) / 4

= 28 / 4

6/2 x 6

= ( 6 x 6 ) / 2

= 36 / 2

8/3 x 9

= ( 8 x 9 ) / 3

= 72 / 3

9/4 x 8

= ( 9 x 8 ) / 4

= 72 / 4

5/3 x 6

= ( 5 x 6 ) / 3

= 30 / 3

2/7 x 3

= ( 2 x 3 ) / 7

= 6 / 7

8/4 x 7

= ( 8 x 7 ) / 4

= 72 / 4

6/4 x 2

= ( 6 x 2 ) / 4

= 12 / 4