does 9y represent a function??

Answer:

ay

Step-by-step explanation: step by step

Answer:

\(Tree = 17ft\)

Step-by-step explanation:

Given

\(Wall = 4ft\ 3in\)

\(Wall\ Shadow = 6ft\)

\(Tree\ Shadow = 24ft\)

Required:

Determine the height of the tree

To do this, we make use of the following equivalent ratios

Wall : Wall Shadow = Tree : Tree shadow

Substitute values for Wall, Wall Shadow and Tree Shadow

\(4ft\ 3in : 6ft = Tree : 24ft\)

Convert all units to ft

\(4ft+ 0.25ft : 6ft = Tree : 24ft\)

\(4.25ft : 6ft = Tree : 24ft\)

Convert to fractions

\(\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}\)

Cross Multiply

\(Tree * 6ft = 4.25ft * 24ft\)

\(Tree * 6ft = 102ft^2\)

Make Tree the subject

\(Tree = \frac{102ft^2}{6ft}\)

\(Tree = \frac{102ft}{6}\)

\(Tree = 17ft\)

Hence, the tree is 17ft tall

Step-by-step explanation:

it's really simple.

g(f(x)) means that you use x to create f(x), and then you use this f(x) as argument in g(x).

with our functions here it means in general to use f(x) = 4 - x as argument (instead of purely x) in g(x).

g(f(x)) = 5×(4 - x) - 2 = 20 - 5x - 2 = 18 - 5x

that is the whole trick.

now, when we have a specific x value (x = 6 in our example here), it can be even simpler.

we need to "feed" 6 into f(x).

4 - x = 4 - 6 = -2

so, f(6) = -2

now this -2 becomes the argument for g(x).

5×(-2) - 2 = -10 - 2 = -12

so, g(f(6)) = -12

let's check for control and also use the functional definition of g(f(x)) we established above :

18 - 5×6 = 18 - 30 = -12

the same result, so all correct.

Answer:

-3/2 & -2

Step-by-step explanation:

2x²+7x+6=0

ax²+bx+c=0

where a=2

b=7

c=6

using factorisation method we say a×c then we find factors that when u manipulate it it equals coefficient b

so

2x²+7x+6=0

ac=2×6=12 factors of 12. (1, 12 )(2. ,6.) (3 4) (6 4)

factors are 3 and 4

2x² +4x+3x+6=0

2x(x+2)+3(x+2)=0

(2x+3)(x+2)=0

2x+3=0 & x+2=0

2x= -3 & x= -2

x= -3/2 and -2

Answer:

y= -1/3x + -5

Step-by-step explanation:

y= mx + b

b= y-intercept, which is -5. (x-value where the lines goes through the y-axis)

To find the slope, you take the

Change of y/ Change of x

Take two points (I did, (0,-5) and (3, -6) ).     (x,y)

-6 - (-5)= -1

3 - 0= 3

-1/3= m

Answer:

the last one Denise,   is the only one that is true

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Answer:

C?

Step-by-step explanation:

Because there is no x I think.

Answer:

(

−

5

)

(

−

4

)

Step-by-step explanation:

Not 100 percent sure

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.

Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.

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Answer:

The answer is d, 2/3y-6

Step-by-step explanation:

Answer:

sugar is bad so just use cream

Step-by-step explanation:

sugar can increase the risk of weight gain, diabetes, tooth cavities, and more.

hope this helps

Answer:

See explanation

Step-by-step explanation:

It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.

Answer:

Which expression represents the area?

Which expression represents the perimeter? 2x squared plus 8x - 2

Step-by-step explanation:

A= LxW

P= L+W+L+W

Answer:

60°

Step-by-step explanation:

∠ABC-∠CBD=∠1

\(135-75\)

\(=60\)

Answer:

Brainliest goes to me!

Step-by-step explanation:

angle abc = 135 degrees

part of it is angle 1 and the other part is angle cbd

<abc (135) = cbd (75) + <1

angle 1 = 60 degrees

To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

Answer:

±6

Step-by-step explanation:

Given the mathematical expression;

√36 < √42 < √49

But, √36 = 6 * 6 = 6²

√49 = 7 * 7 = 7²

Simplifying further, we would substitute the new values respectively;

±[6] < √42 < ±[7]

Therefore, evaluating √36 is equal to ±6.

Answer:

2

Step-by-step explanation:

15/3=5

25/5 = 5

10/2 = 5

Answer:

2

Step-by-step explanation:

You have to find the "pattern."

for 15 and 3, you have to divide 15 by 5 and thats 3.

for 25 and 5, 25/5 is 5, so 10/5 is 2.

The time taken for the money to grow to $8670 at compound interest is approximately 9.24 years.

Given the amount of money that is the principal = $6000

Rate = 4% compounded quarterly.

Time = t

Amount = $8670

Now we know that the amount is calculated by the formula:

A = P(1+r/4)ⁿ

8670 = 6000(1+0.01)ⁿ

Hence

log 1.445 = n log 1.01

or, n = 36.99

Number of years = 36.99 / 4 = 9.24 years.

The interest that is added to a loan or deposit is referred to as compound interest. Compound interest is computed for a sum utilizing both the principal and interest already paid. The main distinction between compound interest and simple interest is this.

If we look at our bank statements, interest is usually credited to our account once a year. While the principle remains constant, the interest changes annually.

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Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer:

30 - 10\(\sqrt{5}\)

Step-by-step explanation:

(5 - \(\sqrt{5}\) )(5 - \(\sqrt{5}\) )

each term in the second factor is multiplied by each term in the first factor.

5(5 - \(\sqrt{5}\) ) - \(\sqrt{5}\) (5 - \(\sqrt{5}\) ) ← distribute both parenthesis

= 25 - 5\(\sqrt{5}\) - 5\(\sqrt{5}\) + 5 ← collect like terms

= 30 - 10\(\sqrt{5}\)

9514 1404 393

Explanation:

A. The given equation will have a solution when the value of x makes the left-side expression equal to the right-side expression.

The value of the left-side expression for a given value of x is the y-value of y=4^x. The value of the right-side expression for a given value of x is the y-value of y=2^(x-1). The left-side expression will be equal to the right-side expression for a given value of x when the graph of y=4^x and the graph of y=2^(x-1) have the same y-value. That is, the graphs will be of the same point for that x-value. That is what we mean when we say the curves will intersect at that point.

The x-coordinate of the point of intersection is the value that makes the expressions equal, hence it is the solution to the equation.

__

B. The tables are included in the first attachment. We have used f(x) to represent the left-side expression, and g(x) to represent the right-side expression.

__

C. As described in Part A, the graphs will cross at the solution point. Hence the equation can be solved graphically by graphing the left-side expression and the right-side expression and seeing where the graphs cross. (That is at the point (-1, 0.25) on the attached graph.)

Alternate graphical method

The solution can also be found graphically by graphing the difference of the expressions: y = 4^x -2^(x-1). This difference will be zero at the value of x that makes the two expressions equal. That is, the x-intercept of the graph of this difference will be the solution value. The second attachment shows this sort of graphical solution. (It works nicely because many graphing calculators will display the value of the x-intercept.)

Answer:

6x and -4x

9 and -8

Step-by-step explanation:

As you can see, both of the numbers at the top have a variable x. Both of the numbers at the bottom have no variable. These are two pairs of like terms because they either have the same variable or no variable at all.

Answer:

Brittany is sharing number of \(\frac{1}{15}\)s with her sister = 6

Step-by-step explanation:

Let the shell collection of Brittany = x

She is giving \(\frac{2}{5}\) of her shell collection to her sister.

Therefore, shells received by her sister = \(\frac{2x}{5}\)

\(\frac{1}{15}\)th of her shell collection = \(\frac{x}{15}\)

Number of \(\frac{1}{15}\)s her sister received = \(\frac{\text{Total shells received by Brittany's sister}}{\frac{1}{15}th \text{part of Brittany's shells}}\)

                                                         = \(\frac{\frac{2x}{5}}{\frac{x}{15} }\)

                                                         = \(\frac{2x}{5}\times \frac{15}{x}\)

                                                         = 6

Therefore, number of \(\frac{1}{15}\) received by her sister = 6

At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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Answer:

1) 9x

2) 3b

3) 3m

4) 5a

5) 7x

6) 3a + 5b

7) 9x - 4

8) 2b + m

9) 13a + b + 6c

10) 9b + 1

11) 7p

12) 2a + b -10

Step-by-step explanation:

Answer:

The peak fare price is $3

Step-by-step explanation:

Let x represents the peak fare price and y represents the off peak fare price

We are given that Person 1 rode the metro train one stop, 5 times at the peak fare price and 3 times at the off peak fare price for a total cost of $21.00.

So, 5x+3y=21 ---1

We are also given that  Person 2 rode with Person 1, 4 times at the peak fare price and 2 times at the off peak fair price for a total cost of $16.00

So, 4x+2y=16 ---2

Substitute the value of x from 1 in 2

4x+2y=16

\(4(\frac{21-3y}{5})+2y=16\)

y=2

Substitute the value of y in 1

5x+3y=21

5x+3(2)=21

\(x=\frac{21-6}{5}\)

x=3

Hence The peak fare price is $3

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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