Given that D( x ) = 2 x , select all of the following that are true statements. D( x ) is a direct variation. D( x ) is a function. D( x ) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). x is the dependent variable. D(6) = 3 1 Attempts Remain

1. 3x + 9 = -4.5x + 20 ; This is true for one value of x.

2. 9(x + 3) = 9x + 12 ; This is true for no values of x.

3. 4(2x + 3) = 12 + 8x ; True for any values of x.

Given,

The equations;

1. 3x + 9 = -4.5x + 20

2. 9(x + 3) = 9x + 12

3. 4(2x + 3) = 12 + 8x

We have to find whether each equation is true for all, one or no values of x.

Here,

1. 3x + 9 = -4.5x + 20

Solve for x;

3x + 4.5x = 20 - 9

7.5x = 11

x = 11/7.5

x = 1.47

Then,

This is true for one value of x.

2. 9(x + 3) = 9x + 12

Solve using distributive property;

9x + 27 = 9x + 12

9x - 9x = 12 - 27

0 = -15

This is true for no values of x.

3. 4(2x + 3) = 12 + 8x

Use distributive property and solve;

8x + 12 = 12 + 8x

8x - 8x = 12 - 12

0 = 0

True for any values of x.

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Answer:

Get the roundend answer to 10

Step-by-step explanation:

The solution for the given polynomial are x = -9, 9 and -10.

What is polynomial?

Polynomials are algebraic expressions that contain coefficients and variables. Variables are sometimes known as indeterminates. Mathematical operations like addition, subtraction, multiplication, and positive integer exponents can be performed on polynomial equations but division by variables cannot.

Given polynomial:

(x+9)(x-9)(x+10)

Equating it wit zero,

we get solutions as:

x = -9, 9, -10

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Considering the figure of a right angle triangle, the given length is the hypotenuse,. The unknown side x is calculated to be 6.86 cm

information given in the question

hypotenuse = 9.7 cm

opposite = x

adjacent =  x

The problem is solved using the Pythagoras theorem is applicable to right angle triangle.  the formula of the theorem is

hypotenuse² = opposite² + adjacent²

opposite = adjacent

plugging the values as in the problem

let x be the required distance

9.7² = x² + x²

94.09 = 2x²

47.045 = x²

x² = 47.045

x = √47.045

x = 6.8589

x = 6.86 to 3 significant figures

side x is 6.86 cm

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Answer:

[tex]{ \boxed{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}[/tex]

- \theta = 25°

- opposite = x

- hypotenuse = z

[tex]{ \tt{ \sin(25 \degree) = \frac{x}{z} }} \\ [/tex]

Answer: x/z

Step-by-step explanation:

sin25 uses soh from sohcahtoa

sin25 = opposite/hypotenuse = x/z

Answer:

D

Step-by-step explanation:

The equation of the line is y = 2x + 8

To find the y intercept we make x=0

When x=0 y=8

if y is total cost and x is number of visits then at zero visits (x=0) the total cost is 8, which is what you would find using choice D

Answer:

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

It represents the cost with zero visits, likely the membership cost, therefore the correct choice is D.

Answer:

156°

Step-by-step explanation:

m5 = m7 (vertical angles)
m4 + m5 = 180 (supplementary)
m5 = 180 - 124 = 156

So measure of both angle 5 and 7 is 156

If the Jackson family just bought 15 pack of Lacroix at Costco and the family drinks about eight cans a week, then after 1.25 weeks

Total number of packs they bought = 15 pack

The average cans they finish each week = 8

Number of cans left = 5 cans

Number of cans used = Total number of packs they bought - Number of cans left =

= 15 - 5

= 10 cans

After how many weeks will there be only five cans left = Number of cans used ÷ The average cans they finish each week

Here we have to use the division

Substitute the values in the equation

After how many weeks will there be only five cans left = 10 /8

= 1.25 weeks

Hence, if the Jackson family just bought 15 pack of Lacroix at Costco and the family drinks about eight cans a week, then after 1.25 weeks

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The system of equation to describe the situation below is x= 1.

What is equation?

an equation is a formula that is to expresses the equality of two expressions, by the  connecting them with in the equals sign.

The process of equting one thing with another is called the equation of science with objective.

Sol- Based on the given condition-

The formulate is- 36+2x=35+3x

Rearrange variables to the left side of the equation

2x-3x=35-36

Combine like terms

-x= 35-36

Calculate the sum or difference

-x=-1

Devide both side of the equation by the coefficient of variable we get

X=1

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Answer:yes

Step-by-step explanation:

for every week he gets 3 cars so it can only incre ment by 3. (1,3) (2,6) (3,9) and so on.

Answer:

85 ggoooofffffyyy

Step-by-step explanation:

The possible amount of time for which they could rent the meeting room is 1, 2, and 3 hours.

In the question,

It is given that,

Reservation fee is $49.

Additional fee is $5.80 per hour.

The math club can spend maximum of $72.20.

The inequality will be:

49 + 5.8*t < 72.20

5.8*t < 23.2

t < 4

Hence, the possible amount of time for which they could rent the meeting room is 1, 2, and 3 hrs.

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3x²-2x+5 is the other factor of the above polynomial (6x³-x²+8x+5) other than (2x+1).

In mathematics, a polynomial is an equation made up of coefficients and indeterminates, also referred to as variables. Only addition, subtraction, multiplication, and powers of positive-integer variables may be utilized to solve it. An example of a polynomial with one uncertain x is x² + 4x + 7.

Polynomials are commonly used in calculations in both mathematics and science. For instance, in the fundamental sciences of chemistry, physics, economics, and social science, they are used to define polynomial functions. They are also used in numerical analysis and calculus to approximate other functions. Simple word problems to complex scientific conundrums are all represented by polynomial equations. Polynomials are used in advanced mathematics.

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Answer:

2+4K

Step-by-step explanation:

distribute the 2

2(1+2k)

2(1)+2(2k)

2+4K

Hopes this helps please mark brainliest

The equation ; x + 1/y = 7 as given in the task content is a linear equation.

It follows from the task content that the equation given in the task content is to be identified as linear or not.

Since the given equation is; x + 1/y = 7;

It is noteworthy to know that a linear equation is one in which case, the greatest exponent of the variable is; 1.

Therefore, since the greatest exponent of a variable in the given equation is 1; it follows that the equation is a linear equation.

Hence, the equation given in the task content; x + 1/y = 7 is a linear equation.

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Answer:

[tex]a_{n}[/tex] = n - 5

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

- 3 - (- 4) = - 2 - (- 3) = - 1 - (- 2) = 1

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 4 and d = 1 , then

[tex]a_{n}[/tex] = - 4 + 1 (n - 1) = - 4 + n - 1 = n - 5

1. An exponential equation modeling the skateboard's value, y, in x years is y = 380 x 1.07ˣ.

2. The value of the skateboard will be worth $610.28 in seven years.

An exponential equation is a mathematical function that depicts an equation with variable exponents.

The exponential function is always written in the form of y = abˣ.

Where a = the constant or initial value, b = the continuous growth rate, and x  or t = the time variable.

Y represents the value that we are looking for after the growth rate has been applied for several (t) years.

The current worth of the skateboard = $380

Annual increase = 7% = 0.07

Number of years = 7 years

Y = 380 x 1.07⁷

= 380 x 1.606

= 610.28

= $610.28

Thus, in seven years, using the exponential equation, the skateboard will be worth $610.28.

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Answer:

2x^2 -x -10 is the answer as a product

3x-3 as a sum

Step-by-step explanation:

Assuming (2x-5)(x+2)=0

Let's distribute.

(2x^2+4x)(-5x-10)=0

Then combine like terms

2x^2 -x -10 is the answer as a product

3x-3 as a sum

Dan has money left is £30.

Given:

Dan spends 3/4 of his wages on rent and 1/8 on food.

If he makes £240 per week.

Money left =  240 - 240* 3/4 - 240 * 1/8

= 240 - 60*3 - 240/8

= 240 - 180 - 30

= 60 - 30

= 30.

Therefore Dan has money left is £30.

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the correct format for a multiple regression equation is

ŷ= [tex]b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}[/tex]

multiple regression: The relationship between a single dependent or criterion variable and multiple independent or predictor variables is typically explained by multiple regression. The constant term and multiple independent variables with their corresponding coefficients are used to model a dependent variable. The term "multiple regression" refers to the fact that it requires two or more predictor variables.

because, the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; and the maximum number of passengers.

thus, ŷ=[tex]b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}[/tex] is the multiple regression equation.

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Answer:

60 [tex]in^{2}[/tex]

Step-by-step explanation:

Volume = the area of the base times the height.

Base:

[tex]\frac{lengthxwidth}{2}[/tex]

[tex]\frac{3x4}{2}[/tex]

6  multiply this by the height of 10

Volume = 60 [tex]in^{3}[/tex]

Answer:

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

The domain of the function represented as .f(x) is (b) All positive integers less than or equal to 4

The equation of the function is given as

f(x) = 3x

Where

x = Number of splits

f(x) = number of new roots in each split

From the question, we have

Splits = 4

This means that the maximum value of x is 4

The other values of x would be

x = 1, 2, 3, 4

This can be represented as

0 ≤ x ≤ 4

The interpretation of the above notation is all positive values less than or equal to 4

Hence, the domain value is option (b)

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Equation -15x + 4x + 2-x= -12x+3 has no solution.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities. The x + 4 = 12 equation states that the left and right sides of the equation are equal. A assertion that "this equals that" is what constitutes an equation.

Given,

Equation:

-15x + 4x + 2 - x = _x +3

For no solution, value of x on both sides should be equal,

So,

-15x + 4x - x

-12x

Value of x will be -12.

Equation -15x + 4x + 2-x= -12x+3 has no solution.

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We have an absolute value function that opens upwards. The interval where it is decreasing only is:

(-∞, 2)

All absolute value equations of the form:

y = |x - a| + b

have graphs that open upwards, and a vertex in the point (a, b).

While ones of the form:

y = -|x - a| + b

have graphs that open downwards, and again, a vertex in the point (a, b).

In this case we have one that open upwards:

h(x)=|x-2|+6

With a vertex at (2, 6)

The function will be decreasing on the left side of the vertex, so the interval where the function is only decreasing is:

(-∞, 2)

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If 9 seeds are planted, what is the probability that exactly 3 don't grow will be 1/5832000 as 5% chance are there that plant will not grow.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The chances of seed to be not growing is 1–0.95 =0.05.

For 3 seeds not to grow being simultaneous occurring events have the probability = 0.05×0.05x0.05=0.000125

As 9 seeds being planted the probability of selecting 1 out of 9 is (1/9).

So for 3 mutual occurring case is (1/9)×(1/9)x(1/9)= 1/729

So the probability will be (1/729)×1/8000=1/58,32,000

The likelihood that exactly 3 seeds out of 9 will not germinate is 1/5832000, or 5%, so there is a chance that the plant won't grow.

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The Probability of an odd number = 0.5.

What is Probability?

One of the areas of probability theory is the estimation of the chance of experiments occurring. Using probability, we can calculate everything from the possibility of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. The formula for computing probabilities in equiprobable sample spaces, the probability of the complementary event, etc., as well as the likelihood of two occurrences coming together, are essential to understand in order to properly appreciate this field of mathematics.

In the given question, we have:

The odd numbers on the given spin are 1,3,5,7 and 9;

So, The number of odd numbers is 6;

That is, n(odd) = 6;

and,

Total number of Spin = 12;

So, The probability of an odd number = [tex]\frac{odd number}{total number}[/tex]

The probability of an odd number = [tex]\frac{6}{12}[/tex]

Hence, The Probability of an odd number = 0.5.

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The equation of the parabola is f(x) = 7(x-3)^2+5.

Given:

The equation of the parabola that has the same shape has f(x) = 7x^2 but with vertex(3,5) in the form of f(x) = a(x-h)^2 + k.

If the parabola has same shape then its a values are same.

so f(x) = 7x^2

here a = 7

so the equation with vertex (3,5) also has a value is 7.

(h,k) = (3,5)

f(x) = a(x-h)^2+k

= 7(x-3)^2 + 5.

Therefore the equation of the parabola is f(x) = 7(x-3)^2+5.

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The probability of not getting 6 at all is 11/36

The term "probability" is most commonly used to refer to the likelihood that a specific event (or set of events) will occur, expressed as a linear scale from 0 (impossibility) to 1 (certainty), or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.

Given,

A die is rolled 2 times  

6 was on the first roll, but there was no 6 on the second,

6 came up on the second roll but not the first.

2 sixes

A) It is evident that 1/6 of the time you will roll a six.

B) There is a 5/6 chance of not getting a six on a single roll.

1/6x5/6 + 5/6x1/6 + 1/6x1/6

= 5/36 + 5/36 + 1/36

= 11/36

The probability of not getting 6 at all is 11/36

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The required value of RT is 10 units when RS = 7, ST = 3x, and RT = x + 9.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment RT, where the length of line segment RT refers to the distance between its endpoints, R and T.

RS = 7, ST = 3x, and RT = x + 9

R______________S______________T

⇒ RT = RS + ST ....(i)

Substitute the values of RS = 7, ST = 3x, and RT = x + 9,

⇒ x + 9 = 7 + 3x

⇒ 3x - x = 9 - 7

⇒ 2x = 2

⇒ x = 1

Substitute the values of x = 1 in RT = x + 9

So RT = 1 + 9 = 10

Hence, the value of RT is 10 units.

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