Determine the domain and range of the following relation.
x + 2 = [y]

Answer:

y = 4x-7

Step-by-step explanation:

slope = difference of y-values / difference of x-values

= (9-5) / (4-3)

= 4/1

select a point to use in the slope-intercept form of a line:  y = mx + b where 'm' is the slope and 'b' is the y-intercept

(3,5)

5 = 4(3) + b

5 = 12 + b

-7 = b

slope is 4 and y-intercept is -7

y = 4x-7

Answer:

[tex]\frac{11}{24}[/tex]

Step-by-step explanation:

To change into fraction divide it by 100

[tex]\frac{275}{6}/100[/tex]

[tex]\frac{275}{6}*\frac{1}{100}[/tex]

[tex]\frac{275}{600}[/tex]

[tex]\frac{275/25}{600/25}[/tex]

[tex]\frac{11}{24}[/tex]

[tex]45 \frac{5}{6}[/tex] ÷ [tex]100[/tex] [tex]=[/tex] [tex]\frac{11}{24}[/tex]

Hence, Answer = 11/24

[RevyBreeze]

Answer:

Step-by-step explanation:

First, you should turn this into an improper fraction. Forget the fact that it is a percent for the time being.

275 / 6

Now put this over 100 to get the fractional part

275 / 6 // 100/1

Invert and multiply the denominator

275 / 6 * 1 / 100 = 275 / 600  You need to reduce this. Start by dividing numerator and denominator by 25

275 / 25 // 600 / 25

11 /  24

Answer:

4.17% (nearest hundredth)

Step-by-step explanation:

percent change = [ (difference between initial value and final value) ÷ initial value] x 100

⇒ percent change = [ (50 - 48) ÷ 48 ] x 100 = 4.17% (nearest hundredth)

Answer: 2x+3 and -1

Step-by-step explanation:

a)

[tex]A=\pi r^2 = 4\pi x^2 + 12\pi x + 9\pi\\r^2 = 4x^2 + 12x + 9\\r^2 = (2x+3)^2\\r = 2x+3[/tex]

b) Radius has to be greater than 0, so 2x + 3 > 0

2x > -3

x > -1.5

So least possible integer value is -1

Answer:

2 tens and 8 ones

Step-by-step explanation:

2 tens =20 , 8 ones = 8 . 20+8=28

Hope this helped

Answer:

[tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment

Or  [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James

Step-by-step explanation:

exponential model:  [tex]y=ab^t[/tex],  where [tex]t[/tex] is the time (in years) from investment

when t = 0, y = 750

[tex]\implies 750=ab^0[/tex]

As [tex]b^0=1[/tex]

[tex]\implies 750=a[/tex]

Therefore, [tex]y=750b^t[/tex]

If the savings increase by 5% each year, then b = 105%.

105% = 105/100 = 1.05

Therefore, b = 1.05

So final model: [tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment

Or, we can write this as [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James

Answer:

72

Step-by-step explanation:

156 ÷ 13 × 6 = 72

Hope this helps!

Good luck!

Answer:

156÷13=12(the number of 13s'in 156)

there are 12

12*6=72

seventy two students live on campus

Answer:

x - 10 = -6

Step-by-step explanation:

9x + 12 = 48

Subtract 12 from both sides. 

9x + 12 = 48

      - 12  - 12

+ 12 and - 12 cancel out. 48 - 12 is 36. 

9x = 36

Divide 9 from both sides.

9x = 36

÷ 9  ÷ 9

9 ÷ 9 cancels out. x is left. 36 ÷ 9 is 4.

x = 4

Knowing x = 4, solve the equation.

x - 10 = ?

Plug in 4.

4 - 10 = -6

4 - 10 equals -6. This is your answer.

Hope this helped!

Answer:

i)

9x + 12 = 48

or,9x=48-12

or,9x=36

or,x=36/9

or,x=4

Thus,the value of x is 4.

ii)

x-10

=4-10(Putting x as 4)

=-6

Answer:

Step-by-step explanation:

We can count two heads out of 3 coin tosses, this is 10 out of 25:

The experimental probability of getting exactly 2 heads out of 3 coin tosses is 40% option second is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The total outcome set

T = {HTT, HHH, HTH, THT, THH, THT, THH, THT, HHT, TTH, HHH, TTT, HHT, THH, HTT, HHH, THT, HTT, HHT, HTH, THH, HTT, THH, TTH, HTT}

n(T) = 25

Total favourable outcome n(E) = 10

The probability = 10/25 = 0.4

= 0.4×100 = 40%

Thus, the experimental probability of getting exactly 2 heads out of 3 coin tosses is 40% option second is correct.

Learn more about the probability here:

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Okay, so the function is to do x times 2, then subtract 4.

6 x 2 = 12, 12 - 4 = 8. The first one is 8.

2 x 2 = 4. 4 - 4 = 0.

-4 x 2 = -8. -8 - 4 = -12. The last is -12.

With this information we can tell that it is C, 8, 0, -12.

Answer:

x < 21

Step-by-step explanation:

Let x = the number of grapes James has left

x + 4 < 25

x < 21

Answer:

C) Addition property of equality and division property of equality

Step-by-step explanation:

To find the answer, let's first solve the equation for x...

3x-6=12

Add 6 to both sides (Addition property of equality)

3x=6

Divide both sides by 3 (Division property of equality)

x=2

We used both the addition property of equality and the division property of equality therefore the answer is C

Step-by-step explanation:

4. 0.9

5. 0.4

6. 0.21

hope this helps you.

Step-by-step explanation:

This is the way to do this I hope it will help you!!

Answer:

Step-by-step explanation:

Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...

  speed = distance/time

  p +w = (2565 mi)/(4.5 h) = 570 mi/h

  p -w = (2205 mi)/(4.5 h) = 490 mi/h

Adding these speeds, we get ...

  (p +w) +(p -w) = (570) +(490) mi/h

  2p = 1060 mi/h

  p = 530 mi/h

Then the speed of the wind is ...

  w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h

The plane's speed is 530 mi/h; the wind speed is 40 mi/h.

The the product of the initial amplitude and the exponential decay rate

of raised to the power of the time taken give the amplitude of 0.1 mm.

Correct option:

The given parameters are;

The initial amplitude = 0.75 mm

The decay rate, i = 25%

Required:

The time it takes the guitar to decay to 0.1 mm.

Solution:

The series of the sizes of the amplitude that has constant decay uses an

exponential decay formula.

When the amplitude is 0.1 mm, we have;

y = a·rⁿ

Where;

r = 1 - i

a = 0.75

n = The time taken

Which gives;

r = 1 - 0.25 = 0.75

y = 0.1 = 0.75 × 0.75ⁿ

[tex]\dfrac{0.1}{0.75} = \mathbf{0.75^{n}}[/tex]

n = 7.0

Learn more about exponential growth and decay formula here:

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Answer:

5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.

Step-by-step explanation:

5 and 5 1/2 have the most dots, which means the most friends have those shoes. There are no dots above 6 1/2, meaning no friends have that shoe size.

The solution is, 5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.

Data is a collection of discrete values that convey information, describing quantity, quality, fact, statistics, other basic units of meaning, or simply sequences of symbols that may be further interpreted. A datum is an individual value in a collection of data .

here, we have,

from the given data, we get,

the given information, gives,

5 and 5 1/2 have the most dots, which means the most friends have those shoes.

There are no dots above 6 1/2, meaning no friends have that shoe size.

Hence,  5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.

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Answer:

n+4

Step-by-step explanation:

A factor is what makes up a multiplication sentence. It is a number that is multiplied with another number that gives us the product, the answer to a multiplication sentence.

Answer:

x = 21

Step-by-step explanation:

Using ratios:

75 : 25 = x : 7

75/25 = x/7

3 = x/7

21 = x

Using Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle:

[tex]72^2+x^2=75^2[/tex]

[tex]\implies x^2=75^2-72^2[/tex]

[tex]\implies x=\sqrt{75^2-72^2}[/tex]

[tex]\implies x=21[/tex]

Nathan needs 12b + 12p fruits while Linda needs 3b + 3p fruits

An equation is an expression used to show the relationship between two or more numbers and variables.

Given each kebab needs the same number of blueberries, b, and the same number of pineapple pieces, p.

a) For 12 kebabs:

Number of fruit = 12(b + p) = 12b + 12p

b) For Linda 3 kebab:

Number of fruit = 3(b + p) = 3b + 3p

Nathan needs 12b + 12p fruits while Linda needs 3b + 3p fruits

Find out more on Equation at: https://brainly.com/question/18831322

Answer:

  1500 ft²

Step-by-step explanation:

The area of the triangle is given by the formula ...

  A = 1/2bh

For a base of 120 ft and a height of 25 ft, the area is ...

  A = 1/2(120 ft)(25 ft) = 1500 ft²

_____

Additional comment

As you can see from the attachment, the area from side lengths is different. The actual height is not 25 ft, but is closer to 24.65 ft.

Answer:

1500 ft

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

the area of a triangle is 1/2 base times hight (a=1/2bh)

Answer:

20 cm squared

Step-by-step explanation:

The formula is Area equals (base times height) divided by 2, so (5*8)/2=20

Answer:

Combine like terms

x^2 + 2x + 3 + 3x^2 + x + 1

4x^2 + 3x + 4

Answer:

mean= m7.8571428571429  Mode 1, 2

Step-by-step explanation:

The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores.    The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Answer:

false

Step-by-step explanation:

Answer:

False is the one you would choose.

Step-by-step explanation:

Answer:

A number added by 25

In a problem it is: Ben has m dollars, his Mom gave him 25 dollars how much does Ben have now?

Hope this helps!

Answer:

False

Step-by-step explanation:

By the Central Limit Theorem, as the sample size [tex]n[/tex] gets larger, the smaller the standard deviation [tex]\sigma[/tex] of the sampling distribution gets.