Please help I’ll mark you as brainliest if correct!

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Work Shown:

1.5/3 = 31.5/x

1.5x = 3*31.5  cross multiply

1.5x = 94.5

x = 94.5/1.5  dividing both sides by 1.5

x = 63

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An alternative equation to solve is

1.5/31.5 = 3/x

1.5x = 31.5*3

1.5x = 94.5

The remainder of the steps are the same as in the previous section above.

Answer.    332.78

Step-by-step explanation:

I subtracted and as awesome its right trust me.

Answer:

the answer to pt 1 is D. x=1.5 x=0 or x=6

and the answer to part 2 is C. x=1±I√29/5

Step-by-step explanation:

1. The solution of this equation is x = 0 or x = 6 which is option D.

2. The solution of this equation is \(x = \dfrac{1 \pm i\sqrt{29}}{5}\) which is option C.

Use the concept of quadratic equation defined as:

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations.

The quadratic equation has the following generic form:

ax² + bx + c = 0

1. The given quadratic equation is,

3x = 0.5x²

Rearranging it,

0.5x² - 3x = 0

Common out x,

x(0.5x - 3) = o

Then we have,

x = 0 or,  

0.5x - 3 = 0

Add 3 on both sides,

0.5x  = 3

Divide both sides by 0.5,

x = 3/0.5

x = 6

Hence the solution of this quadratic equation is,

x = 0 and x = 6 which is option D.

2. The given quadratic equation is:

0 = 5x² - 2x + 6

It can be written as,

5x² - 2x + 6 = 0

Since we know the quadrature formula for ax² + bx + c = 0 is,

\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

Here we have,

a = 5

b = -2

c = 6

Substitute values into the formula,

\(x = \dfrac{2 \pm \sqrt{4 - 120}}{10}\\\\x = \dfrac{1 \pm i\sqrt{29}}{5} \text{ }\text{ \text{ }} \text{\text{ }\ since } \sqrt{-1} = i\)

Hence, option C is correct.

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The complete question is:

Solve each of the quadratic equations.

PT. 1

3x = 0.5x²

A. x = -6 or x = 0

B. x = -4 or x = 3

C. x = -2 or x = 1.5

D. x = 0 or x = 6

PT.2

0 = 5x² - 2x + 6

A.  \(x = \dfrac{1 \pm 3i}{5}\)

B. \(x = \dfrac{1 \pm i\sqrt{11}}{5}\)  

C. \(x = \dfrac{1 \pm i\sqrt{29}}{5}\)

The area of the given figure is 27.5 square centimeter which has a rectangle and triangles

The given figure has a rectangle and triangles

The area of rectangle is length times width

Area of rectangle =5×4

=20 square centimeter

Area of triangle =1/2×base×height

=1/2×2.5×3

=7.5/2

=3.75 square centimeter

As there are two triangle = 2(3.75)

=7.5 square centimeter

Total area = 7.5+ 20

=27.5 square centimeter

Hence, the area of the given figure is 27.5 square centimeter

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Answer:

Down payment is when you are trying to by something that is expensive up front like a house or a car.  It is usually paid in cash or equivalent at the time of finalizing the transaction. A loan of some sort is then required to finance the remainder of the payment.

Step-by-step explanation:

The Equivalent measurements of a given quantity can be useful in a variety of situations, such as when you need to convert between different units of volume

2 1/2 gallons is equal to various measurements depending on the context, but here are a few common conversions:

- 10 pints: There are 2 pints in a quart, and 4 quarts in a gallon, so 2 1/2 gallons would be 2 x 4 + 2 = 10 pints.

- 20 cups: There are 2 cups in a pint, 2 pints in a quart, and 4 quarts in a gallon, so 2 1/2 gallons would be 2 x 4 x 2 + 2 = 20 cups.

- 640 fluid ounces: There are 8 fluid ounces in a cup, 2 cups in a pint, 2 pints in a quart, and 4 quarts in a gallon, so 2 1/2 gallons would be 4 x 2 x 2 x 8 x 2.5 = 640 fluid ounces.

Knowing the equivalent measurements of a given quantity can be useful in a variety of situations, such as when you need to convert between different units of volume, or when you need to mix ingredients in a recipe.

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Answer:

46. f(g(x)) =doesn't exist

because from the range of g(x) there is none in the domain of f(x)

48.f(g(x)) = {(0,2), (1,1)}

Answer:

Step-by-step explanation:

Describe a functiDescribe a function that takes an input, adds 2, and then multiplies by 4on that takes aDescribe a function that takes an input, adds 2, and then multiplies by 4n inpDescribe a function that takes an input, adds 2, and then multiplies by 4ut, adds 2, and then multiplies by 4

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

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Answer:

a i think

Step-by-step explanation:

Answer:

(B) It decreases

Step-by-step explanation:

I figured this out with basic logic, but we can use proof to find it out.

If we have \(35+k\), we can assume that k is around 10.

So \(35+10=45\).

Now let's decrease k by 1, making k=9.

\(35+9=44\)

We can see that the value is decreasing, but let's try one more.

Let's make k=8.

\(35+8=43\)

So we can see the general pattern here is that it's decreasing.

Hope this helped!

Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

Answer:

Step-by-step explanation:

y=mx+b

m=(y2-y1)/((x2-x1)

m=(12-7.5)/(120-30)

m=0.05

y=0.05x+b, using point (30,7.5)

7.5=0.05(30)+b

7.5=1.5+b

b=6

y=0.05x+6

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

Answer:

6.) =37/36 mixed form is 1 1/36 decimal form 1.027 repeating the 7

6.) = 11/35 decimal form 0.3142857repeating

9.) = 23/60 decimal form 0.383 repeating 3

11.) = 11/56 decimal form 0.19642857.....

12.) = 13/45 decimal form 0.28 repeating 8

11.) = 5/6 decimal form 0.83 repeating 3

12.) = 17/48 decimal form 0.35416 repeating 6

Answer:

number 1 is 13/18 number 2 is 19/28 number 3 is 1 5/24 number 4 is 1/2 number 5 is  1   7/40 number 6 is 1  1/36  number 1 on the 2 page is 1   7/12

number 2 is  1    1/8  number 3 is 32/63   number 4 is  1  3/40 number 5 is  31/60 number 6 is 11/35  number 1 is 7/8 number 9 is 23/60 number 11 is 11/56 numbers 11 and 12 are 5/6 and 17/48  numbers 4 5 and 6 are 2/3  43/60  numbers 4 5 6 are  1  1/24   19/56  17/45

Step-by-step explanation:

To determine which rocket flew higher, you have to determine the coordinates of the vertices of both parabolas and compare their y-coordinates.

Rocket 1

The path of this rocket is modeled by the quadratic formula:

To determine the coordinates of the vertex of this parabola you have to calculate the x-coordinate first, using the formula:

Where

a is the coefficient of the quadratic term

b is the coefficient of the x-term

The variable that corresponds to "x" is the time in seconds "t"

The coefficients are a=-16 and b=150

Replace the calculated value in the formula to determine the corresponding value of h:

At the maximum point of the parabola (vertex), the height is approximately 352.56 feet

Rocket 2

To determine the coordinates of the vertex of the parabola described by the path of the second rocket you have to read the values directly for the graph.

On the x-axis are the values of the time, measured in seconds, and on the y-axis are the values of the height from the ground, measured in feet.

The coordinates are t = 6 and h ≈ 600.

This means that the highest point reached was at approximately 600 feet

Rocket 2 had a maximum height of approximately 600ft and rocket 1 reached an approximate height of 352.56ft. So, Rocket 2 flew higher.

Answer:

71.25

Step-by-step explanation:

Answer:

-5/12

Step-by-step explanation:

Convert to twelfths.  Then subtract.

Change 3/4 to 9/12 and 1/3 to 4/12.

4/12 - 9/12 = -5/12

The constant of variation that exists between the weight and the volume of the objects would be = 7/5. That is option C.

A measurement is said to vary directly with another when the increase in proportion of the object leads to a direct decrease to the other one.

That is for the given object;

Weight is directly proportional to Volume

Therefore, weight = k Volume

K = constant of variation

make k the subject of formula;

k= weight/volume

but weight = 28

volume = 20

k = 28/20

= 7/5

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In the polynomial function, the number of roots of the graph is 3

Polynomial function:

In math, polynomial function refers a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Given,

Here we need to identify the number of roots of the graph.

If we have the graph like the following,

Then to identify the roots, we have to look at the graph start from negative infinity and end at positive infinity.

While we looking into the given graph, we have identified that, the degree of polynomial must be odd.

And in graph, we can see it cuts at three points

=> (-6,0)    (-2,0)    (-1,0)

This are the points on the graph has three x-intercept.

We know that, the number of x-intercept is equivalent to real roots of the polynomial.

Therefore, graph is cubic polynomial because it has three x-intercept.

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The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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Answer:

Area = (30°/360°) x π x (6 cm)2 = 3π cm2

Answer: betina or adelita

Step-by-step explanation: hope it helps

The example that is a continuous data is B. The wait time at a bus station

From the question, we have the following parameters that can be used in our computation:

The list of options

By definition, a continuous data is a data that can take any value including decimals

From the list of options, we have:

B. The wait time at a bus station

The wait time can be 1.25 hour and it can be 1 hour ie. decimal and integer

Hence, the continuous data is B. The wait time at a bus station

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Answer:

first you need to see how many miles it will go on 1 gallon

which is 25 miles

and then you would need to multiply that by 20 which will give you

500 so it will go 500 miles on 20 gallons of gas

Step-by-step explanation:

Answer:

11.25

Step-by-step explanation:

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

From the question, we have the following parameters that can be used in our computation:

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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The domain and range of the function  f(x) = 3/x + 2 are  (-∞, 0) ∪ (0, ∞) and  (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.

To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.

The function f(x) = 3/x + 2

The domain of the function is (-∞, 0) ∪ (0, ∞)

The range of the function is (-∞, 2) ∪ (2, ∞)

The x - intercept is (-3/2, 0)

The y - intercept does not exist

The vertical asymptotes is x = 0

The horizontal asymptotes is y = 2

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The mean number of ice chests in a section is 46.75.

The mean is the average or the most common value in a collection of numbers. In statistics, it is a measure of central tendency along median and mode..

To find the mean number of ice chests in a section, we need to calculate the sum of the ice chests and then divide total number of sections sampled.

Sum of ice chests = 48 + 51 + 26 + 73 + 51 + 48 + 26 + 51

Sum of ice chests = 374

Mean number of ice chests will be:

= (Sum of ice chests) / (Total number of sections sampled)

= 374 / 8

= 46.75

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