What is a rational number ?

Answer:

d=6

Step-by-step explanation:

divide 30 by 5 to get the value of d

Answer:

Hey again d = 6

Step-by-step explanation:

5 × 6 = 30 therefore d = 6 HOPE THAT HELPS!

The value of the sequence is (c) 13, 25, 37, 49

The definition of the sequence is given as

a(1) = 13

a(n) = a(n - 1) + 12

The above definitions imply that we simply add 12 to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a(2) = 13 + 12 = 25

a(3) = 25 + 12 = 37

So, the sequence is 13, 25, 37

Hence, the value is (c)

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Answer:

x=2, y=4. (2, 4).

Step-by-step explanation:

3x-3y=-6 implies 3(x-y)=3(-2), so x-y=-2.

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

x-y=-2

3x+y=10

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

4x=8

x=8/4=2

2-y=-2

y=2-(-2)=2+2=4

The properties of the rational exponents are given and a rational equation is of the form b = aˣ

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the rational exponent equation be A

Now , the properties of the exponent equations are

mᵃ×mᵇ = mᵃ⁺ᵇ

The powers of the exponents are added together

mᵃ / mᵇ = mᵃ⁻ᵇ

The powers of the exponents are subtracted together

( mᵃ )ᵇ = mᵃᵇ

The powers of the exponents are multiplied together

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

Any number raised to the power of 0 is 1

m⁻ᵃ = ( 1 / mᵃ )

Hence , the exponents are solved

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The quadratic functions that have an axis of symmetry at x = -2 are given as follows:

The standard definition of a quadratic function is given by the rule presented as follows:

y = ax² + bx + c, in which a is different of zero.

The axis of symmetry is given by the x-coordinate of the vertex, hence it's equation is defined as follows:

x = -b/2a.

Meaning that the correct options are given by the first and by the fourth options in this problem.

For the first function, we have that:

a = 1, b = 4.

Hence the axis of symmetry is obtained as follows:

x = -4/2 = -2.

For the fourth function, we have that:

a = -2, b = -8.

Hence:

x = -8/4 = -2.

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Answer:

6

Step-by-step explanation:

The growth factor is the number that is raised to an exponent.

Answer: 6

Answer: 1st, 4th, and 5th choices

Given that ON = [tex]x^{2}[/tex] - 10; LM = -2x + 5; NM = 3x + 21; and OL = 4y + 18; with x and y values of [tex]\sqrt{10}[/tex] and -4.5, respectively.

ON = [tex]x^{2}[/tex] - 10 ⇒  [tex]x^2[/tex] = 10 ⇒ x =[tex]\sqrt{10}[/tex]

OL = 4y + 18 ⇒ 4y =-18 ⇒ y = -18/4 ⇒ -4.5 .

The issue at hand is here A parallelogram of O N M L is nm. Suppose   ON = [tex]x^{2}[/tex] - 10 or LM = -2x + 5. Here, we must determine what X's value is. then look up N M N O L. Due to the parallelogram shape of ONA male, there are four.

Since N M is equal to the opposing sides of a parallelogram and an e parallelogram, we can express that as follows. due to the parallelogram's equal opposite sides. We can therefore write [tex]x^{2}[/tex] - 10 where N M = O L. that is four, -2x + 5, and. Change the two sides of the equation, then write four. Nine times X is equivalent to [tex]x^{2}[/tex] - 10.

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Answer:

27

Step-by-step explanation:

Jeffrey has three choices for breakfast: toast, cereal, or pancakes. Then, he has three choices for lunch: toast, cereal, or pancakes. Finally, he has three choices for dinner: toast, cereal, or pancakes.

Putting these together, Jeffrey has 3 * 3 * 3 = 27 possible ways to select the three meals.

Answer:

D

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

30 feet

Step-by-step explanation:

a = l * w

Its a square so l and w are the same

x * x = 900

30 * 30 = 900

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

If you know about square roots

x = √900

x = 30

Answer:

1 ture

2 false

3 false

4 ture

Step-by-step explanation:

The equation equivalent to the equation x + y = 3 is 6x + 6y = 18.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x + y = 3

Multiply 6 on both sides.

6x + 6y = 18

Thus,

The equation that is equivalent is 6x + 6y = 18.

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Answer:x=20

Step-by-step explanation: <2 and <3 must be equal, so set 3x-10 equal to x+30, once simplified you get x equal to 20.

Answer:

x = 20

Step-by-step explanation:

Angle 2 and 3 are alternate (interior) angles which means that they are equivalent to each other.

3x-10=x+30

-x       -x

2x-10=30

  +10  +10

2x=40

x=20

A Pythagorean triple is a set of three positive integers a, b, and c that satisfies the equation a2 + b2 = c2.

In this case, the triple is (3, 4, 5) and (5, 12, 13).

The equation for the first triple is 32 + 42 = 52.

3² = 9

4² = 16

9 + 16 = 25

25 = 25

The equation for the second triple is 52 + 122 = 132.

5² = 25

12² = 144

25 + 144 = 169

169 = 169

Therefore, both sets of numbers are Pythagorean triples because they both satisfy the equation a2 + b2 = c2.

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Answer:

1

Step-by-step explanation:

did it

Answer:

the Total surface area is your answer. it is 708.4 meters squared.

Step-by-step explanation:

see answer above.

Answer:

The rate of interest will be 40%

Step-by-step explanation:

So first consider the principal to be x

Then the SI (Simple interest) will become six times of itself that is 6x

The time is 15 years

Rate = SI × 100 / P × T

Now put the values

Rate = 6 × x × 100 / x × 15

Then after simplifying the rate will come 40 %

A) The model that expresses the revenue R as a function of x is R(X) = -1/7x + 200

B) The domain of R is (-∞, +∞)

C) If 200 units are sold, then the revenue is $228.57

D) The quantity that maximizes revenue is 200 and the maximum revenue is $228.57

E) The price should the company charge to maximize revenue $228.57

Here we have given the function that can be model  that expresses the revenue R as a function of x is written as,

=> R(X) = -1/7x + 200

Here the domain value of R has take the value from negative infinity to positive infinity.

When we take the value of x as 200, then the revenues of the sold goods is calculated as,

=> R(200) = -1/7 (200) + 200

When we simplify this one then we get the value of R as

=> R = 28.57 + 200

=> R = 228.57

As per the given function the maximum number of units sold is written as 200, and the maximum revenue is written as 228.57

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Where m and c are integers or fractions, the equation of a straight line in the form of y = mx + c becomes y = x/2 + 8.

A straight line is made up of many points connected at each end. Any straight line's slope, m, is determined by the formula. The slope-intercept formulation of a linear equation is y = mx + b. The equation's variables are X and Y. The slope of the line (m) and the value of y when x is 0 are represented by the values m and b, respectively.

[tex]m = \frac{y2-y1}{x2 - x1}[/tex]

given

the graph is,(0,8) and (9,2)

The slope of the line is,

m = 1/2

Because it crosses the y-axis at the point where the intercept C is equal to 8,

The equation of the line will be :

⇒ y = mx + c

⇒ y = (1/2)x + (8)

⇒ y = x/2 + 8

Where m and c are integers or fractions, the equation of a straight line in the form of y = mx + c becomes y = x/2 + 8.

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The probability of the two cards being D and D, P(D, D), is 4/9. The correct option is: 4/9.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.

Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.

Calculating probability of selecting a card:

From the question, we are to determine the probability of selecting two cards with D and D

From the formula for probability, we have that

P(D) = Number of favorable outcomes to D / Total number of possible outcomes

From the given information,

Number of favorable outcomes to D = 2

Number of possible outcomes = 3

Thus,

P(D) = 2/3

Then,

The probability of selecting two cards that have D and D with replacement is

P(D, D) = P(D) × P(D)

P(D, D) = 2/3 × 2/3

P(D, D) = 4/9

Hence, the probability is 4/9.

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Answer:

C.58.3

Step-by-step explanation:

Im pretty sure im right

Answer: Y= 1/8x -2

Step-by-step explanation:

Y = mx+ b

Slope = y2-y1/x2-x1 = -1+2 / 8-0 = 1/8

Initial Y-Value = -2

Answer:

10 cm, 6cm, 8cm

Step-by-step explanation:

Answer:

10 cm,6 cm,8 cm

Step-by-step explanation:

Answer:

im pretty sure its d

Step-by-step explanation:

According to probability, total number of handshakes will be 36.

Handshakes equal n * (n - 1)/2. This is the case because a handshake between two people is not counted twice and each of the n people can shake hands with n - 1 people (they wouldn't shake their own hand). Any number of people can be calculated using this formula.

The first person will need to shake eight (8) people's hands. Only seven (7) hands will need to be shook by the second person because the first handshake will not be repeated. Due to the same factors as mentioned above, only six (6) people will require a handshake from the third person. This continues until the final person has no one left to shake hands with because everyone has already done so.

The formula to calculate how many handshakes were exchanged is n = 8 + 7 + 6 +... + 1 = 36.

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