Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 years.

Answer:

y = -7

Step-by-step explanation:

To solve for 'y', we need to isolate it, meaning to separate it from everything else. You move numbers in the equation around by canceling them out, which you do with opposite or reverse operations. (Addition and subtraction are opposites. Division and multiplication are opposites).

First, bring all of the numbers with 'y' to the left, and bring all of the numbers without 'y' to the right. Then isolate y.

7y + 3 = 4y - 18              Move 'y' to the left.

7y - 4y + 3 = 4y - 4y - 18     Subtract 4y from both sides.

7y - 4y + 3 = -18          Notice 4y - 4y cancelled out. Combine like terms on the left. 7y and -4y both have 'y'.

3y + 3 = -18                Move the numbers to the right.

3y + 3 - 3 = -18 - 3      Subtract 3 from both sides.

3y = -18 - 3             +3 and -3 cancelled out. Combine like terms on right.

3y = -21                 Cancel out the '3' attached to 'y'.

3y/3 = -21/3         Divide both sides by 3.

y = -21/3              3y/3 becomes just 'y' because 3 ÷ 3 is 1.

y = -7                  Answer for y.

Answer:

x = [tex]\frac{c-k}{3}[/tex]

Step-by-step explanation:

Given

3x + k = c ( isolate the term 3x by subtracting k from both sides )

3x = c - k ( divide both sides by 3 )

x = [tex]\frac{c-k}{3}[/tex]

Answer:

A. The graph approaches –3 as x approaches infinity.

Step-by-step explanation:

when looking at the problem F (x) + 3x/x-4 the answer would lead up to..

Finding the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain:  

( − ∞ , 4 ) ∪ ( 4 , ∞ ) , { x | x ≠ 4 }

Range:  ( − ∞ , − 3 ) ∪ ( − 3 , ∞ ) , { y | y ≠ -3 }

are what it leads to and seeing the range -3 would have x as infinite/ -∞

so A is the correct option to me

The statement that describes the behavior of the function f(x) = 3x/4-x is The graph approaches 0 as x approaches infinity.

Option B is the correct option.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The statement "The graph approaches 0 as x approaches infinity" is the correct statement that describes the behavior of the function f(x) = 3x/(4-x).

We can use the limit definition of approaching infinity.

When x becomes very large (positive or negative), the term 4 - x in the denominator becomes very small, approaching zero.

As a result,

The fraction 3x/(4-x) approaches zero as x approaches infinity.

This can be confirmed using L'Hopital's rule, which gives the limit of the function as 0/1, or simply by observing the graph of the function.

Thus,

The graph approaches 0 as x approaches infinity.

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Answer:

a) The next three terms are -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence

C) The difference of second term and first term is -2 in given sequence so the given sequence is an arithmetic sequence.

d) The 27 th term is -53

Step-by-step explanation:

a)  the given sequence is arithmetic sequence

the difference of second term and first term is -2

given sequence is -1,-3,-5,-7.....

the nth term in arithmetic sequence

[tex]t_{n} = a+(n-1)d[/tex]

First term is a = -1 and difference is d = -2

finding fifth term is

[tex]t_{5} = -1 +(5-1)(-2)[/tex]

[tex]t_{5} = -1-8 =-9[/tex]

finding sixth term is

[tex]t_{6} = -1 +(6-1)(-2)[/tex]

[tex]t_{6} = -1-10 =-11[/tex]

finding seventh term is

[tex]t_{7} = -1 + (7-1)(-2)[/tex]

[tex]t_{7} = -1 -12 =-13[/tex]

The next three terms are  -9,-11,-13

The given sequence is -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence.

C) because the difference of second term and first term is -2 so the given sequence is arithmetic sequence.

d) by using nth term formula in arithmetic sequence

[tex]t_{n} = a+(n-1)d[/tex]

a= -1 and d =-2

find 27 t h term :-

[tex]t_{27} = -1 + (27-1)(-2) = -1-52=-53[/tex]

Answer:

The values are [tex]x=\frac{35}{493}[/tex] and

[tex]y=\frac{26}{493}[/tex]

The solution is  ([tex]\frac{35}{493},\frac{26}{493}[/tex])

Step-by-step explanation:

Given equations are [tex]23x-12y=1\hfill (1)[/tex]

[tex]-43x+y=-3\hfill (2)[/tex]

To solve the given equations :

Multiply the equation (2) into 12 we get

[tex]-516x+12y=-36\hfill (3)[/tex]Now adding equations (1) and (3) we get

23x-12y=1

-516x+12y=-36

____________

-493x=-35

[tex]x=\frac{35}{493}[/tex]

Substitute the value of [tex]x=\frac{35}{493}[/tex] in equation (1) we get

[tex]23\times (\frac{35}{493})-12y=1[/tex]

[tex]\frac{805}{493}-12y=1[/tex]

[tex]-12y=1-\frac{805}{493}[/tex]

[tex]-12y=\frac{-312}{493}[/tex]

[tex]y=\frac{26}{493}[/tex]

Therefore the values are [tex]x=\frac{35}{493}[/tex] and

[tex]y=\frac{26}{493}[/tex]

The solution is  ([tex]\frac{35}{493},\frac{26}{493}[/tex])

Answer:

0.58

Step-by-step explanation:

Answer:

X=4.5

Step-by-step explanation:

9 x 0.5 = 4.5

You can even test it. 4.5/9 does in fact, equal 0.5

Answer:

216

Step-by-step explanation:

There are 6 options for the first digit.

There are 4 options for the second digit.

There are 9 options for the third digit.

The total number of combinations is 6 × 4 × 9 = 216.

Answer:

69°

Step-by-step explanation:

The three interior angles in a triangle will always add up to 180°, so we have:

43°+x+(x-1)=180°

43°+2x-1°=180°

2x=180°-43°+1°

2x=138°

x=69°

Answer:

69 degrees

Step-by-step explanation:

Answer:

g-1(x) = -x/3 - 6.

Step-by-step explanation:

Let g(x) = y = -3(x + 6)

y = -3x - 18

3x = - y - 18

x =  -y/3 - 6

Now replace x by the inverse g-1(x)  and y by x, so

g-1(x) = -x/3 - 6.

The slope of a line is given by rise over run. The slope of the board leaning against the building is 4.5; given by the height it reaches (18 feet) divided by the distance from the base of the building to the base of the board (4 feet).

The subject of your question is the slope of a line in a mathematical context, specifically when dealing with the Algebra of Straight Lines. First, let's recall what slope is. The slope of a line, commonly represented as m, is the measure of the vertical change (rise) for each unit of horizontal change (run).

To find the slope of the board leaning against the building, we can take the rise over the run. Here, the rise is the height of the building which the board reaches - 18 feet. The run is the distance from the building to the board's base on the ground - 4 feet. Hence, the slope m of the board would be calculated as follows: m = rise/run = 18/4 = 4.5.

A positive slope indicates that the line rises from left to right, like the board leaning against the building. So, the slope of the board as a positive number is 4.5.

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Answer:

You could use surface area to find the amount of wrap needed for a bale. You could use surface area to figure out how much frosting is needed to frost a cake. You could use surface area to find out how much paint is needed to paint a house.

Step-by-step explanation:

Surface area and volume have numerous real-world applications. They are employed in Biology to understand cell functioning, in Physics to calculate celestial volumes, and in Environmental Studies to assess pollution levels and treat diseases. Accurate measurements and unit consistency are crucial for these applications.

Volume and surface area can be implemented in an array of real-world scenarios. For instance, in Biology, the calculation of surface area to volume ratios is essential in understanding how cells function. Larger cells have a smaller surface area to volume ratio, which can impact how efficiently they can transfer nutrients or remove waste. If the cell becomes too large, it might not be able to sustain itself sufficiently with the nutrients absorbed, or remove waste effectively. Thus, we see here that surface area to volume ratios can even be essential for life itself.

In Physics, we can extrapolate the volume of Earth's oceans or the galaxy by observing specific measurements. Volume calculations are also used in Engineering and Construction to estimate the quantity of material needed for a particular project. In Environmental Studies, we can evaluate the pollution affecting species habitat or resolve diseases impacting humans, using these geometric concepts.

In all these cases, a consistent usage of appropriate units (likes meters, kilograms, and others depending on the context) is key to getting accurate results. Also, bear in mind that the application of these mathematical concepts often requires creativity and insight to solve problems effectively.

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Answer:

Therefore the correct option is B.

Step-by-step explanation:

i) A convex polygon is a polygon which has all its interior angles as less than 180°.

ii) From visual inspection of all four options only option B seems to fulfill the criteria mentioned in i)

Therefore the correct option is B.

Answer:the answer is b

Step-by-step explanation:

I got it corrrect trust me

Answer:

I got u

Step-by-step explanation:

sin C = 7/25 or 0.28

cos C = 24/25 or 0.96

tan C = 7/24 or about 0.292

lmk if u want me to explain how trigonometric functions work

The ratios for sin C, cos C, and tan C in a right triangle are y/h, x/h, and y/x respectively, where y is the opposite side, x is the adjacent side, and h is the hypotenuse.

To write ratios for sin C, cos C, and tan C in a right triangle, you need to refer to the lengths of the sides of the triangle relative to angle C. If we denote the opposite side to angle C as y, the adjacent side as x, and the hypotenuse as h, the ratios are defined as follows:

In a practical scenario, if you know the magnitude of one side and the direction angle, you can use these ratios to find the scalar components of a vector in a coordinate system, solve problems involving the Law of Sines and Law of Cosines, or analyze wave functions in physics. For example, the Law of Sines relates the lengths of the sides of a triangle to the sines of its angles as follows:

 a/sin A = b/sin B = c/sin C

Where a, b, and c are the sides of the triangle opposite to angles A, B, and C, respectively.

Answer:

x = -1

Step-by-step explanation:

3(x+2)=−5−2(x−3) multiply 3 and -2 with inside the parenthesis

3x + 6 = -5 -2x + 6 now add the like terms

3x + 2x = 1 - 6

5x = -5 simplify both sides

x = -1

Final answer:

After analyzing both pairs, it is evident that only the second pair, f(x) = x - 9 and g(x) = x + 9, meet the requirements for inverse functions, as both compositions f(g(x)) and g(f(x)) return the original input x. Hence, option b: only 2 is an inverse function, is correct.

Explanation:

To determine whether each pair of functions are inverse functions, we must check if applying one function following the other returns the original input value. For two functions, f(x) and g(x), to be inverses of each other, the following must hold true:

f(g(x)) = x

g(f(x)) = x

Pair 1: f(x) = 10x + 9/8, g(x) = 25x - 9/10

Applying g to f:

g(f(x)) = g(10x + 9/8) = 25(10x + 9/8) - 9/10

After simplifying, this does not equal x, so f and g are not inverse functions.

Pair 2: f(x) = x - 9, g(x) = x + 9

Applying g to f:

g(f(x)) = g(x - 9) = (x - 9) + 9 = x

Applying f to g:

f(g(x)) = f(x + 9) = (x + 9) - 9 = x

In the second pair, both compositions return the input x, so f and g are inverse functions of each other. Therefore, the answer is option b: only 2 is an inverse function.

Answer:

B I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)=4x^2+4x-4\ or\ f^*(x)=4x+4x-4=8x-4\\\\f(0)-\text{put}\ x=0\ \text{to}\ f(x):\\\\f(0)=4(0)^2+4(0)-4=4(0)+0-4=0-4=-4\\\\f^*(0)=8(0)-4=0-4=-4[/tex]

Answer:

the answer is c :)

The fraction is 5/15, which simplifies to 1/3. So Andy ate one third of the tuna sandwich.

The student's question involves determining the fraction of the tuna sandwich that Andy ate. Andy cut a tuna sandwich into 12 more pieces than the chicken sandwich and the total number of pieces was 18. Since tuna has 12 more pieces, we let the number of chicken pieces be x. Hence, the tuna pieces would be x + 12. The equation then is x + (x + 12) = 18. Solving this, we get x = 3 (chicken pieces) and x + 12 = 15 (tuna pieces).

Andy ate 5 pieces of the tuna sandwich, so the fraction of the tuna he ate is 5 out of the total tuna pieces, which is 15. Therefore, the fraction is 5/15, which simplifies to 1/3. So Andy ate one third of the tuna sandwich.

Answer:

x=20

Step-by-step explanation:

Answer is in the picture

PLEASE Give me BRAINLIEST

Answer:

If you are looking for n then

N = -13

Step-by-step explanation:

-13+-9 is -22

Answer

n= -13

-22 = -9 + n

first flip the equation

n + -9 = -22

then add 9

so -22 + -9 = - 13

so n = -13

Answer:

2.3

Step-by-step explanation:

.

By dividing the total vacation hours Malcolm earns in a year (120) by the total number of weeks in a year (52), we find that Malcolm earns approximately 2.31 hours of vacation time per week.

The question is asking us to find out how many vacation hours Malcolm earns per week. To solve this, we can simply divide the total vacation hours Malcolm earns in a year (120) by the total number of weeks in a year (52).

Here's the step by step process:

Therefore, Malcolm earns approximately 2.31 hours of vacation time per week.

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Answer:

B

Step-by-step explanation:

Because they have same volume we have :

V(boxA)=2*3*6=36[tex]in^3[/tex]

V(boxB)=3*4*l=12l

V(boxA)=V(boxB)

So we have this equation :

36=12l

Divide by 12

l=3

Answer:

No.

Step-by-step explanation:

On the number line, a number is greater than a number to its left. For example, 3 is to the left of 5, so 5 is greater than 3.

On the number line, -3.5 is to the left of -1.5, so -1.5 is greater than -3.5.

After comparing the given two negative numbers we conclude that,

the number -3.5 is not greater than -1.5.

A negative number is one that always has a value lower than zero and is denoted by the minus (-) symbol.

The given numbers are,

-3.5 and  -1.5

Subtract -1.5 from -3.5

-3.5 - (-1.5)

Remove bracket by multiplying signs,

-3.5 + 1.5

= -2.0

Now it can be written,

-3.5 = -1.5 - 2.0

Since,

-1.5 - 2.0 < -1.5

Therefore,

-3.5 < -1.5

Hence,

The number -3.5 is not greater than -1.5.

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Answer:

17.1

Step-by-step explanation:

Final answer:

The percent change in total computer sales from June to July cannot be calculated without the specific numerical sales data for each model. We need the quantities sold in May and June to determine the rate of change and project this to July.

Explanation:

To determine the percent change in total computer sales from June to July, based on the provided sales chart data, we first need to calculate the change from May to June for each computer model separately. If we assume that the sales data numbers in the chart represent the quantity of computers sold, we can take the difference in sales of each model between the two months and then sum these differences to get the total change in sales. Afterward, we'll need to express this total change as a percentage of the total sales in June.

However, the actual sales data with quantity figures are not provided; hence, we cannot calculate the exact percent change. The question seemingly requires specific numerical data to calculate the change in percentage, which is not included in the text above. Without such data, it is impossible to provide a step-by-step solution to the question regarding calculating the percent change in total computer sales.

Answer:

  1

Step-by-step explanation:

The square root function is monotonically increasing, so will have a maximum at the right end of any interval. Here the maximum is at x=2. That value is ...

  y = √(2+2) -1 = 2 -1 = 1

The maximum value on the interval is 1.

Answer:

I believe the answer to this question is: X= -3  3/4