Write the equation of the line in fully simplified slope-intercept form.

In the problem, the information is not enough to find whether the problem is proportional or not.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given a phrase, a wood deck is quoted at a bulk cost for 25 square ft.

to find the problem proportional or not,

for proportional there must be at least four quantities, whose ratios are to be compared and if their ratios are equal they are said to be in proportion.

for example,

When two ratios are equal, they are said to be in proportion. For instance, the time it takes a train to travel 50 kilometres per hour is equal to the time it needs to travel 250 kilometres in 5 hours. e.g., 250km/5 hours = 50 km/h.

Hence for the given question, the information is not enough.

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Answer:

[tex]2y^3+3y^2+1[/tex]

Step-by-step explanation:

Given expression:

[tex](6y^3+y^2)+(-4y^3+2y^2+1)[/tex]

Remove the parentheses:

[tex]6y^3+y^2-4y^3+2y^2+1[/tex]

Collect like terms:

[tex]6y^3-4y^3+y^2+2y^2+1[/tex]

Combine like terms:

[tex]2y^3+3y^2+1[/tex]

The coordinates of the point P on the directed line segment that partitions the segment into a ratio of 3 to 2 is the ordered pair (4.2, -0.2).

In this exercise, line ratio would be used to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 3 to 2.

Mathematically, line ratio can be used to determine the coordinates of the point P and this is modeled by this mathematical expression:

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Substituting the given parameters into the line ratio formula, we have;

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

P(x, y) = [(3(4) + 2(-2))/(3 + 2)],  [(3(-3) + 2(4))/(3 + 2)]

P(x, y) = [(27 - 4)/(5)],  [(-9 + 8)/5]

P(x, y) = [21/5],  [-1/5]

P(x, y) = [4.2, -0.2]

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Answer:

Step-by-step explanation:

A: false

B: true

C: true

D: false

Answer:

-1/4

Step-by-step explanation:

the slope is going down by a rate of -1/4

The graph of the functions f(x) = (-5x)³ and f(x) = x³ - 4 are drawn below.

The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.

The parent function is given below.

f(x) = x³

The function is stretched by 5 units and gets reflected over the y-axis. Then the function is given as,

f(x) = (-5x)³

The function is shifted by 4 units downward then subtract 4 from the function. Then the function is given as,

f(x) = x³ - 4

The graph of the functions f(x) = (-5x)³ and f(x) = x³ - 4 are drawn below.

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Answer:

A) : 10% = 48

Final result: 432

Step-by-step explanation:

10 * 480 / 100

= 4800 / 100

= 48

480 - 48 = 432 (final result)

Answer:

B) : 54

Final result: 306

Step-by-step explanation:

15 * 360 / 100

= 5400 / 100

= 54

360 - 54 = 306 (final result)

I hope this helps!

*To find the percent, use this formula: part percent * whole number / 100

Answer:3 hours 20 mins

Answer:

3 hours 20 minutes is the length of the movie.

The roots of the quadratic equation are x= -1 and x= -11

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

y = x²+12x+11

Axis of Symmetry is  x={-6.00}

Vertex at  (x,y) = (-6.00,-25.00)

x -Intercepts (Roots) :

Root 1 at  (x,y) = (-11.00, 0.00)

Root 2 at  {x,y} = (-1.00, 0.00)

Take some random values for x and find corresponding y values using the equation  y = x²+12x+11

Plot the points to get the graph attached

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The length of the sides are given by the 45°–45°–90° triangle theorem.

Correct responses:

AB = 1

AC = 1

BC = √2

The 45°–45°–90° triangle theorem is one that states that the ratio of the lengths of the sides of triangles having interior angles of 45°, 45°, 90° is expressed as 1 : 1 : √2

We know that the lengths of the legs of an isosceles triangle are equal. Now, the legs of the given isosceles right triangle in the attached file are AB and AC.

Thus, we can say that, AB = AC

If the length of AB s 1 unit, then we have;

AB = AC = 1

Using Pythagoras theorem, we have;

BC² = AB² + AC²

Which gives; BC = √2

Therefore, by plugging in the length of AB = AC = 1, we have;

AB = 1

AC = 1

BC = √2 ≈ 1.414

The above values are in the ratio 1 : 1 : √2, which now corresponds with the 45°-45°-90° triangle theorem.

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The expression of the probability that the flight did not arrive on time at El Centro is as follows:

Probability is the chance or likelihood that an expected outcome occurs or does not occur.

Probability describes an occurrence's relative value (ratio) over many possible events.

When the likelihood is 100% certain or uncertain, the probability is 1 or 0, respectively.  Otherwise, probability as a fractional value lies between zero and one.

Air Travel

Airport:                              El Centro (CA)    Baltimore (MD)

Arrivals (Percent on-time)    80%                    82%

Did not arrive on time:

Percentage =                       20% (100 - 80)    18% (100 - 82)

Fraction =                             1/5 (20/100)        9/50 (18/100)

Decimal =                             0.2 (20/100)        0.18 (18/100)

Thus, the probability that the El Centro flight did not arrive on time is 20%, 1/5, or 0.2.

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Answer:

56, 265.

Step-by-step explanation:

Answer: d + 23 = 56

Step-by-step explanation:

" More than" is another way of saying "added by", so your problem is Delia's height added by 23 is 56. If we replace Delia's height with the variable d, then we get d added by 23 is 56. This is really easy now,

d + 23 = 56

Answer:

Whole banana = 6/6

Step-by-step explanation:

Given information,

→ Kendyl ate 4 pieces.

→ Adison ate 2 pieces.

Now the total number of pieces,

→ 4 + 2

→ 6 banana pieces

Fractional representation is,

→ Kendyl = 4/6

→ Adison = 2/6

→ Whole banana = 6/6 = 1

Hence, the answer is 6/6.

Answer:

504

Step-by-step explanation:

There are 9 choices for the first letter, 8 choices for the second letter, and 7 choices for the third letter, for a total of 987 = 504 three-letter code words that can be constructed from the first nine letters of the Greek alphabet without repetition.

Answer:

see explanation

Step-by-step explanation:

given

3x + 4 = 10 ( subtract 4 from both sides )

3x = 10 - 4 = 6 ( divide both sides by 3 )

x = 6 ÷ 3 = 2

thus x = 2 is proven

Kim's total salary for each month is given as follows:

$2,942.

Kim's salary is divided into two earnings, as follows:

Kim's sales were $16,100 for last month, hence her commission is found applying the proportion as follows:

0.12 x 16100 = $1,932.

(the proportion is obtained multiplying the decimal equivalent of the percentage by the total amount to obtain the desired amount).

Then, adding to the fixed salary of $1,010, her total salary for the past month is obtained as follows:

1010 + 1932 = $2,942.

The problem is incomplete, hence we suppose that it asks for Kim's total salary last month.

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Answer:

I guess it's 58° fr apparently

The solution for the given quadratic equation is  x = -11 or x = -1.

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

The given quadratic equation is,

x² + 12x + 11 = 0.

The graph of the equation is, plotted below.

From the graph,

The solutions are x = -1 and x = -11

The second approach to find the solution for the given quadratic equation is factorization method,

x² + 12x + 11 = 0

x² + 11x + x + 11 = 0

x(x + 11) + 1(x + 11) = 0

(x + 11) (x + 1) = 0

x = -11 or x = -1

So the required solution is x = -11 or x = -1.

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The inequality which corresponds with the graph below is x + y ≤ 0.

A mathematical expression in which the sides are not equal is referred to as being "inequality." An inequality, in its most basic form, is a comparison of any two values that shows that one value is less than, greater than, or equal to the value on the other side of the equation.

Less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠) are the inequality symbols.

Comparing numbers and identifying the range (or ranges) of values that meet the specifications of a given variable are both done using inequalities.

The equation of the above straight line is

y = −x

or

x + y=0

Now the shading in the above graph is towards the negative part (where x is negative).

Also the line is dark and not dotted. This indicates that the points on the line are part of the inequality.

Thus, the inequality which corresponds with the graph below is x + y ≤ 0.

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Full question:

Which inequality corresponds with the graph below

a. y - x ≤ 0

b. x - y ≤ 0

c. y + x ≤ 0

d. None of the above

Answer:

The equation g² + 42 = 0 has two real solutions.

To solve this equation, we can start by subtracting 42 from both sides to get g² = -42. Then, we can take the square root of both sides to get |g| = √42. Since the square root of a number is positive, this means that g = √42 or g = -√42. These are the two solutions to the equation.

Answer:The answer is 1 1/3 pounds of chicken.

Step-by-step explanation:

For a single serving of the recipe, you would need half the amount of chicken that is required for a serving size of 2, which is 2 2/3 / 2 = 1 1/3 pounds of chicken.

The sum of the measures of angles D and E is (3x + 25)° greater than the measure of angle F. which is the correct answer would be an option (C).

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

The given Triangle DEF which has

∠D = 3(x+10)°

∠E = (2x+15)°

∠F = 2(x+10)°

The sum of the measures of angles D and E :

3(x+10)° + (2x+15)°

3x + 30 + 2x + 15

5x + 45

Difference between the sum of the measures of angles D and E and the measure of angle F :

5x + 45 - 2(x+10)

5x + 45 - 2x - 20

3x + 25

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Answer:

700 the answer is 700.

Step-by-step explanation:

the answer is 700

The numeric values for each expression in this problem are given as follows:

a. g(g(g(1))) = 1.

b. f(f(f(2)) = 1.

c. f(f(g(2))) = 2.

d. g(f(g(4))) = 2.

The numeric value for each expression is obtained using the compositions, and also the numeric values given from the tabke,

As an example, from the table, we have that when x = 1, g(x) = 4, hence:

g(1) = 4.

Hence:

g(g(g(1))) = g(g(4)) = g(3) = 1.

The circle symbol represents composition, meaning that the expressions are similar to item a.

Thus the numeric value in item b is obtained as follows:

f(f(f(2)) = f(f(4)) = f(5) = 1.

The numeric value in item c is obtained as follows:

f(f(g(2))) = f(f(5)) = f(1) = 2.

The numeric value in item d is obtained as follows:

g(f(g(4))) = g(f(3)) = g(6) = 2.

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Allan will be ready to start work as a real estate agent; After he passes a licensing exam to prove he's qualified to sell real estate.

Selling real estate is the process of transferring ownership of a piece of property from one person or entity to another.

The complex process that involves several steps, includes determining the market value of the property, marketing the property, negotiating with prospective buyers, and finally closing the sale.

This is important to work with an experienced real estate professional who can help guide, through each step in the process and ensure that everything is handled properly.

So the correct option is C.

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The payment amount rate required to pay off the loan in 2 years is k = $4,266.67 and the total interest paid during the two-year period is $2,142.66. This is calculated by using the formula for continuous compounding to solve for k and the formula for calculating interest to solve for I.

1. Calculate the payment rate required to pay off the loan in 2 years:

k = P/(1 - e^(-rt))

= 7506/(1 - e^(-0.15*2))

= 7506/(1 - 0.8698)

= 4,266.67

2. Calculate the total interest paid during the two-year period:

I = P(e^(rt) - 1)

= 7506(e^(0.15*2) - 1)

= 7506(1.3302 - 1)

= 2,142.66

Payment rate required to pay off the loan in 2 years: K = $5,062.89. The amount of interest paid during the 2-year period is $1,506.11. The borrower pays back a total of $9,012.89 over the 2-year period. The interest rate of 15% is continuously compounded and the payments are made at a continuous rate of K dollars per year.

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The volume of the cylinder is 602.9 cm³

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We need to find the volume of the cylinder whose height is 3 cm and diameter is 16 cm.

Radius =16/2=8 cm.

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder.

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

As per the given figure,

The radius of a cylinder is 8 cm and the height of the cylinder is 3 cm.

V = 3.14×8²×3

=3.14×64×3

=602.88=602.9 cm³

Hence, the volume of the cylinder is 602.9 cm³

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