Evaluate the function for the indicated input

Answer:

36

Step-by-step explanation:

Answer:

1. a)x² + y² = 29  ------------------(1)      

y² - x² = 23 ----------------(2)

y²  = 23 + x²

Using the value of y² in the first equation:

x²  + y²  = 29

x²  + (23 + x²)  = 29

2x²  = 6

x² = 3

x = √3

Using the value of x in equation (2)

y²  - x²  = 23

y²  - 3 = 23

y²  = 26

y = √26            and            x = √3

b) ( 1 - 12x) / 3 < 0   =   1-12x < 0  =  x > 1 / 12

(1-x) / 2 ≤ (3-x) 3  =  3 - 3x ≤ 6 - 2x  =   -3 ≤ x

In these 2 equations, the value of x will be the values of x common to both the inequalities

Since the second equation starts at a much lower value than the first equation, and they are both going up, all the values for the first equation will also stand for the second equation

Hence, the value of x for the given system of equations is

x  > 1/12

2.

3x² - 7x  + 2 ≥ 0

3x² -6x -1x  + 2 ≥ 0       (splitting the middle term)

3x(x - 2) -(x - 2) ≥ 0

(3x - 1)(x-2) ≥ 0

(3x-1) ≥ 0         or     (x-2) ≥ 0

x ≥ 1/3       or    x ≥ 2

Written above are the 2 solutions for the given equation

4.

We are given that Sin α = (2√3) / 3  or 2/√3

According to the pythagorean law:

sin²α + cos²α = 1

4 / 3  + cos²α = 1

cos²α = (3-4)/3

cos²α = -1/3

cos α = √(-1/3)      or    i / √3    since √-1 is also known as i

Cosec α = 1/ Sin α

Cosec α = 1 / (2/√3)

Cosec α = √3 / 2

Sec α = 1 / cos α

Sec α = 1 /  √(-1/3)

Sec α = (√3)  / (√-1)

Since (√-1) is also known as i , we can write this as:

Sec α = (√3)  / i

Tan α = Sin α / Cos α

Tan α = (2√3 / 3) / (i / √3)

Tan α = (2√3 * √3) / 3 * i)

Tan α = 2 / i

Cot α = 1/Tan α

Cot α = 1 / (2 / i)

Cot α = i / 2

Answer:

see below

Step-by-step explanation:

2d+21 ≤11

Subtract 21

2d+21-21 ≤11 -21

2d ≤-10

Divide by 2

2d/2 ≤-10/2

d≤-5

Answer:

4x+y=-4

Step-by-step explanation:

Plug in the intercept after the equal sign and multiply the x coordinate by the slope

Answer:

A burger cost five times as much as a fries.

Step-by-step explanation:

Let F represent fries

Let b represent burgers

From the question:

An order of fries and five burger can be written as:

f + 5b

Three orders of fries and two burgers can be written as:

3f + 2b

But an order of fries and five burgers cost twice as much as three orders of fries and two burgers. This can be written as:

f + 5b = 2(3f + 2b)

Now, we shall make b the subject of the above equation. This is illustrated below:

f + 5b = 2(3f + 2b)

Clear bracket

f + 5b = 6f + 4b

Collect like terms

5b – 4b = 6f – f

b = 5f

Thus, a burger cost five times as much as a fries.

75 feet the penguin walk in 45 seconds and in 27 seconds the penguin walk 45 feet.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

penguin walks 10 feet in 6 seconds

At the same rate we need to find the distance walked by penguin in 45 seconds

Let x be the distance travelled by penguin in 45 seconds

10/6=x/45

Apply cross multiplication

45(10)=6x

450=6x

Divide both sides by 6

x=75

So 75 feet the penguin walk in 45 seconds.

Now let us find how long it takes for penguin to walk 45 feet.

Let x be the time

10/6=45/x

Apply cross multiplication

10x=270

Divide both sides by 10

x=27

In 27 seconds the penguin walk 45 feet.

Hence,  75 feet the penguin walk in 45 seconds and in 27 seconds the penguin walk 45 feet.

To learn more on Ratios click:

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Answer:

12 inches

Step-by-step explanation:

[tex]1200^{3}[/tex] units

15 * 10 * 8 = 1200

Answer:

1,2,3,5

Step-by-step explanation:

Answer:

yes I agree with her because 3 times 4 is 12

Step-by-step explanation:

pls make me brainliest

Answer:

  $766.23

Step-by-step explanation:

The amortization formula is appropriate for this. (Better, use a financial calculator or spreadsheet.)

  A = P(r/12)/(1 -(1 +r/12)^-(12t))

where P is the amount borrowed (25,000), r is the annual rate (0.065), and t is the number of years (3).

Putting the given numbers into the formula, we have ...

  A = $25,000(0.065/12)/(1 -(1 +0.065/12)^(-36))

  A = $25,000(.00541667)/(1 -1.00541667^-36)

  A = $25,000(0.00541667)/(0.1767322)

  A = $766.23

The monthly payment is $766.23.

_____

Comment on tools

A graphing or scientific calculator is useful for these. Something like a TI-84, or any of the equivalents, will have financial calculations like this built in. There are also numerous apps available for phone or tablet that will do financial calculations.

Answer:

the length of MR = 9

Step-by-step explanation:

Looking at the figure, we can tell that segment TR is congruent to segment RA, meaning TR has equal length to RA and the same goes to MR and RH. Since the problem gives us the total length of line TA and line MH, we can say that the length of MR is half of the total length of MH. Therefore, length of MR is 9.

Answer:

The answer is 6

Step-by-step explanation:

Answer on Edgenuity

Answer:

I solved it and my answer is 29

Answer:

6 − 4  x = 6 x − 8 x − 2  Since  x

is on the right side of the equation, switch the sides so it is on the left side of the equation.

6 x − 8 x − 2 = 6− 4 x  Subtract  8 x  from  6 x . − 2 x − 2 = 6 − 4 x

Move all terms containing  x

to the left side of the equation.

Tap for fewer steps...

Add  4 x

to both sides of the equation.

− 2 x − 2  +  4  x =  6  Add  − 2 x  and  4 x . 2 x − 2 = 6

Move all terms not containing  

x  to the right side of the equation.

Tap for fewer steps...

Add  2

to both sides of the equation.

2 x = 6 +  2  Add  6  and  2 . 2 x = 8

Divide each term by  

2  and simplify.

Tap for fewer steps...

Divide each term in  

2 x = 8  by  2 .  2 x 2 =  8  2  Cancel the common factor of  

2  .  Tap for more steps...

x = 8  2  Divide  8  by  2 .

x = 4

Answer:

3(2+15)= 3(2) + 3(15)

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

the line goes through the x axis at 4

Answer:

No

The sides of the triangle do not satisfy the Pythagorean Theorem.

Step-by-step explanation:

If we are given the three sides to a triangle, and we are asked to find out if it is a right triangle, we will have to see if the sides of the triangle satisfies the Pythagorean Theorem. The Pythagorean Theorem is:

a² + b² = c²

where c is the hypotenuse and a and b are the other two sides.

So we can see from the image that 28 would be the length of the "hypotenuse" and 19 and 20 would be the lengths of the other two sides. Lets see if these values satisfy the Pythagorean Theorem:

19² + 20² = 28²

361 + 400 = 784

761 ≠ 784

So no, the triangle is not a right triangle because the sides does not satisfy the Pythagorean Theorem.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

A function is continuous when its graph is a single unbroken curve ... ... that you could draw without lifting your pen from the paper. That is not a formal definition, but it helps you understand the idea.

Step-by-step explanation:

hope this helps ya

the answer is 1 unit

that's the answer

Answer:

esta Frase es correcta se a los amigos de mis Padres true false

Answer:

total no. of possibilities =20

Step-by-step explanation:

probability of $20 bill=4/20=1/5

probability of $10 bill=6/20=3/10

probability of $5 bill=8/20=2/5

Answer:

CI = (3.462, 4.138)

Step-by-step explanation:

We are given;

Sample mean; x¯ = 3.8

Sample standard deviation; s = 1.19

Sample size; n = 50

DF = n - 1 = 50 - 1 = 49

Confidence level; CL = 95%

Significance level = (1 - 0.95)/2 = 0.025

Now,from the table attached using DF = 49, significance level = 0.025, one tail and by interpolation, we have; t = 2.01

Now, formula for confidence interval is;

CI = x¯ ± t(s/√n)

CI = 3.8 ± 2.01(1.19/√50)

CI = 3.8 ± 0.338

CI = (3.8 - 0.338, 3.8 + 0.338)

CI = (3.462, 4.138)

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

All you have to do is divide the t on both sides and you'll get...

[tex]r=\frac{d}{t}[/tex]

Answer:The multiples of 15 are the numbers which are n-times of 15, where n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. So, basically, multiples are n-times of any number, where n is the list of natural numbers. Thus, number 15 has multiples in the form of 15n, such that: 15 x 1 = 15

Answer:

15

Step-by-step explanation:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735,

Answer:

y= 2x + 6

Y=2x + 6

Step-by-step explanation:

The graph of this system of equations will have two lines exactly on top of each other.

Answer:

first u find a common denominator for all of them and then add them all together

Step-by-step explanation:

I really do hope this helps!!!

Answer:

35.61

Step-by-step explanation:

Add 10 +2+16+5= 33

Then add 5/8+7/8= 1.5

Then add 8/9+2/9= 1.1

Then add 33+1.5+1.1= 35.61

Mark me as Brainliest.

Answer:

YES

Step-by-step explanation:

The criterion for formation of a triangle is that the sum of any 2 sides should be greater than or equal to the third side

So, we will test it for all 3 sides

7.4 + 12.5 ≥ 19.9

TRUE

12.5 + 19.9 ≥ 7.4

TRUE

7.4 + 19.9 ≥ 12.5

TRUE

Therefore, the segments with the sides: 7.4 , 12.5 and 19.9 do form a triangle

Answer:

YES

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

the difference between the x coordinates of each point is 6. in order for the slope to simplify to 2/3 the difference in y should be 9.

y=9-4(y coordinates of A)

=5