A Gardner wants to add 39 pounds of nutrient a and 16 pounds of nutrient b to her garden. Each bag of brand x provides 3 pounds of nutrient a and 2 pounds of nutrient b. Each bag of brand y provides 4 pounds of nutrient a and 1 pound of nutrient b. How many bags of each brand should she buy?

Answer:

61300

Step-by-step explanation:

The monthly salary for Job B after x months, which includes a 4% monthly raise, can be represented by the exponential function S(x) = 2000 * (1 + 0.04)^x, where S(x) is the salary and x is the number of months.

To represent the monthly salary for Job B after x months, we need to account for the 4% raise each month. Since the starting salary is $2000, and the raise is 4% (or 0.04 in decimal form) of the previous month's salary, the function to represent the monthly salary can be written using a geometric sequence formula.

Let S(x) be the salary at month x. The function will be an exponential function in the form:

S(x) = 2000 * (1 + 0.04)^x

Here, 2000 is the initial salary, 0.04 represents the 4% raise, and x is the number of months that have passed.

Answer:

Step-by-step explanation:

hello :

a)

let  f(x) = y     so : x = g(y)

in expression = f(x) =3x+12

means : y = 3x +12  calculate : x

3x = y -12

x = (1/3)y - 4

the inverse is : g(x) = (1/3)x - 4

b)f(g(-2) = f(-14/3)

because: g(-2) = (1/3)(-2)-4 = -2/3-4 = -14/3

so : f(g(-2) = f(-14/3)=3(-14/3)+12 = - 2

1. The inverse of the function is g(x) = (1/3)x - 4.

3. The value of f(g(–2)) is -2.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x)= 3x+ 12

1. let  f(x) = y then x = g(y)

y = 3x+ 12

y- 12 = 3x

x= y/3 + 4

So, the inverse of the function is g(x) = (1/3)x - 4.

2. For showing the function are inverse we have to that  

(fog)(x) = f(g(x)) =x and (gof)(x) =g(f(x)) = x

Take (fog)(x) = f(g(x))

= f( (1/3)x - 4.)

= 3 ((1/3)x - 4) 12

= x - 12 + 12

= x

Now, (gof)(x)

=g(f(x))

= g(3x+ 12)

= (1/3) ( 3x+ 12) -4

= x + 4 - 4

= x

3. f(g(-2))

So,  g(-2)

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

= -2/3-4

= -14/3

Then, f(g(-2)) = f(-14/3)

=3(-14/3)+12

= - 2

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Answer:

y=3/2x-2

Step-by-step explanation:

m=3/2 A(2,1)=A(x1, y1) ... x1=2,y1 =1

y-y1=m(x-x1)

y-1=3/2(x-2)

y-1=3/2x-3/2*2

y-1=3/2x-3

y=3/2x-3+1

y=3/2x-2

Answer:

y=6x+5

Step-by-step explanation:

y-2=6x+3

y=6x+3+2

y=6x+5

Step-by-step explanation:

[tex]4 \sqrt{2} = \sqrt{ {4}^{2} \times 2} = \sqrt{16 \times 2} = \sqrt{32} [/tex]

Answer:

a|| b then

<6=<4=<2=146

Answer:

Step-by-step explanation: It B

-3 + 3 = 0

Answer:

2

Step-by-step explanation:

If one bag of stones is sufficient to fill the distance of 4 yards , then to complete 5.5 yards of pond boundary, 2 bags are enough.

Distance is a physical quantity measuring the length over an area covered by an object or place. The change in distance is called displacement. For  a moving object the distance is the product of its speed and time take to cover the distance.

Distance can be measured in meter, kilometer, feet, yard etc. These units can be interchanged in between based on the relationship between them.

It is given that the diameter of the circular fish pond is 5.5 yards. One bag of stones can fills a distance of 4 yards. of the pond. Then two bag of stones is enough  to fill  up the total distance of 5.5 yards.

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Answer:

3/8 and 1/5

Step-by-step explanation:

If the scale factor is 1 then it stays the same. If it's larger than 1 then is gets larger, so the fractions, which are smaller than 1, would make it shorter.

hope this helped :)

Answer:1/5 and 3/8

Step-by-step explanation:

Answer:

73-3=70

70-20=50

50-24=26

To solve 73-26, subtract 3 from 73 to get 70. Then, subtract a number from 70 to get 50. The missing number is 20.

To solve the equation 73-26, we can subtract it step by step. The first step is to subtract 3 from 73, which equals 70. The next step is to subtract a number from 70 to get 50. To find that number, we subtract 50 from 70, which is 20. So, the missing number is 20.

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Answer: About 0.8034 of the items will be classified as good.

Step-by-step explanation:

Let's first understand that because 13% of the items are defective, that means 87% of the items are not defective. And because the inspector incorrectly classifies the items 9% of the time, it's important to understand that that means both the defective and the not defective items may be incorrectly classified. In order to figure out what proportion will be classified as 'good,' let's set up a tree diagram:

--0.13--defective

            |__0.09__ classified as 'good'

            |__0.91__ classified as 'defective'

--0.87--not defective

           |__0.09__ classified as 'defective'

           |__0.91__classified as 'good'

This chart essentially reiterates the information in the prompt, showing that 9% of each type of item will be incorrectly classified. Now we need to find the proportion of items that will be classified as 'good.' To do this, we must multiply the proportion of items classified as 'good' by the proportion of items that are either defective or not defective for both types, like this:

(0.13 * 0.09) + (0.87 * 0.91)

this expression in words means: "13% of the items will be classified as good 9% of the time, and the other 87% of the items will be classified as good 91% of the time"

When we multiply and add these numbers together, we get 0.8034, but you should round to 2 or 3 decimal places like the prompt instructs. Hope this helped! :)

Answer:

  6

Step-by-step explanation:

The numbers in an ordered pair are usually (x, y). That is, the y-value comes second in the pair.

The second number in your ordered pair is 6. The y-coordinate is 6.

The inequality that represent age of marcus is:

[tex]24\geq 6+m\geq 9[/tex]

The possible values for age of Marcus is:

m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Solution:

Given that,

The sum of ages of Kevin and Marcus was at least 9 years but was at most 24 years

Kevin is 6 years old

Let "m" be the age of Marcus

Thus we frame a inequality as:

[tex]24\geq \text{ sum of ages } \geq 9[/tex]

at least 9 years means that "greater than or equal to 9"

at most 24 years means "less than or equal to" 24

From given,

Sum of ages = kevin age + marcus age

Sum of ages = 6 + m

Thus the inequality is:

[tex]24\geq 6+m\geq 9[/tex]

Solve the inequality

[tex]\mathrm{If}\:a\ge \:u\ge \:b\:\mathrm{then}\:a\ge \:u\quad \mathrm{and}\quad \:u\ge \:b\\\\24\ge \:6+m\quad \mathrm{and}\quad \:6+m\ge \:9\\\\Solve\ them\ separately[/tex]

[tex]24\ge \:6+m\\\\\mathrm{Switch\:sides}\\\\6+m\le \:24\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\le \:24-6\\\\\mathrm{Simplify}\\\\m\le \:18[/tex]

Now solve another inequality

[tex]6+m\ge \:9\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\ge \:9-6\\\\\mathrm{Simplify}\\\\m\ge \:3\\\\\mathrm{Combine\:the\:intervals}\\\\m\le \:18\quad \mathrm{and}\quad \:m\ge \:3\\\\\mathrm{Merge\:Overlapping\:Intervals}\\\\3\le \:m\le \:18[/tex]

[tex]24\ge \:6+m\ge \:9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:3\le \:m\le \:18\:\\ \:\mathrm{Interval\:Notation:}&\:\left[3,\:18\right]\end{bmatrix}[/tex]

Thus possible values for age of Marcus is:

m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Answer:

True because a right angle can't exist with any parallel lines.

Answer:

true hope this helped.

Step-by-step explanation:

3(p + 2) = 18

3p + 6 = 18

3p = 12

p = 4

Check:

3(p + 2) = 18

3(4 + 2) = 18

3(6) = 18

18 = 18

This proves that p = 4.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

Answer: p = +4

Step-by-step explanation: To solve this equation for p, our first step is to distribute the 3 through the parentheses on the left side.

3 times p is 3p and 3 times 2 is 6.

So we have 3p + 6 = 18.

Next, we need to isolate the p term by subtracting 6 from both sides of the equation to get 3p = 12.

Finally, we divide both sides of the equation by 3 to get p = +4.

Answer:

Step-by-step explanation:

i'm pretty sure that you will have to add it.

so, when we add two fractions such as 3/4 + 3/4, we make sure that the denominators (the bottom numbers) are the same and then we simply add the numerators (the  top numbers).

in this problem, the denominators are the same so we will simply add 3+3 which equals to 6/4. the denominator will remain the same.

               answer:

                      3/4 + 3/4    =   6/4

i hope this is helpful.

The required weight of the candy box is 3 pounds.

Given that,
A balance scale was in perfect balance when Jane placed a box of candy on one pane of the balance and 3/4 of the same-sized candy box together with 3/4 pound weight on the other pane.
To determine how much the full box of candy weighs.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the weight of the candy box be x,
3/4 of the same-sized candy box
weight = 3/4 pound
x = 3/4x + 3/4
x / 4 = 3/4
x = 3

Thus, the required weight of the candy box is 3 pounds.

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Answer:

See explanation

Step-by-step explanation:

Assuming we want to find the slope and equation of the line going through:

(0,1) and (1,2).

Then the slope is given by:

[tex]m = \frac{2 - 1}{1 - 0} [/tex]

This implies that:

[tex]m = 1[/tex]

The equation is given by:

[tex]y = mx + b[/tex]

Where b=1 is the y-intercept since the line passes through (0,1).

Hence the equation is:

[tex]y = x + 1[/tex]

Answer:

9.235

Step-by-step explanation: There you g. Hope it helps!

The Answer is D) because it is

Answer:

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)

I hope this helps you. If you can give brainliest that would be greatly appreciated.

Answer:

W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)

Step-by-step explanation:

look at picture

Answer:

  Evaluate the expression 1/3(4+18) -2 squared

Step-by-step explanation:

First of all we will add brackets to understand the question as:

= ((1/3) * (4+18) - (2 squared))

= ((1/3) * ( 22) -  2² )

According to Math's rule that Multiplication and division must be completed before addition and subtraction.

=  (( 1/3 * 22) - 4 )

= (( 7.33) - 4 )

= ( 7.33 - 4 )

= 3.33

3.33 is the correct answer.

Answer: A. When it comes after the decimal point, as in 4.000

Step-by-step explanation: If there are no other numbers after the zeros, there is no reason for them to be place holders. Zeros in decimals act as place holders such as in 4.09 or 4.0009. This actually does change the value of the decimal but 4.000 is just the same as a regular old 4. Hope this helps!

1. distributive property

2. combine like terms

3. addition property of equality

4. division property of equality

Given that,

Kelsey solved the following equation:

[tex]7x - \frac{1}{2}(8x+2) = 6[/tex]

By distributive property,

a(b + c) = ab + bc

Therefore,

[tex]7x - (\frac{1}{2} \times 8x)+( \frac{-1}{2} \times 2)= 6\\\\7x - 4x - 1 = 6[/tex]

Combine the like terms

7x - 4x - 1 = 6

3x - 1 = 6

Addition property of equality

The property means that when we add the same number to both sides of an equation, the sides remain equal

3x - 1 = 6

Add 1 on both sides

3x - 1 + 1 = 6 + 1

3x = 7

Division property of equality

The Division Property of Equality means that when we divide both sides of an equation by the same non zero number, the sides remain equal

3x = 7

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{7}{3}\\\\x = \frac{7}{3}[/tex]

Thus the correct justifications Kelsey used to solve this equation is:

1. distributive property. 2. combine like terms. 3. addition property of equality. 4. division property of equality

Answer:

I took the test it is  1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Answer:

that fraction is an improper fraction I think.

Answer:

Step-by-step explanation:

Add the three digits together:

12+7+16=35

7/35, or 1/5.

Slope is the change in Y over the change in. X

Using two of the given points:

Slope = 70-45 / 25-10

Slope= 25/ 15

Slope = 5/3

Answer:

So, Domain = {set of all the real numbers except 3, 5}

Interval notation = {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}

Step-by-step explanation:

The given function is f(x) = [tex]\frac{x^2 + 3x - 5}{x^2 - 8x + 15}[/tex]

Here we need to find the domain.

To find the domain, let's find the restricted domain.

If we set the denominator equal to zero and solve for x, we can find the restricted domain.

Here the denominator is [tex]x^2 -8x + 15 = 0[/tex]

Now we can factorize and solve for x.

(x - 3)(x - 5) = 0

(x - 3) or (x - 5) = 0

x -3 = 0  and x - 5 = 0

Solving the above equations, we get

x = 3 and x = 5

The restricted domains are x = 3 and x = 5.

Now we can find the domain.

Except 3 and 5, all the real numbers can be domain of this function.

So, Domain = {set of all the real numbers except 3, 5}

= {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}.

Answer: all real numbers except 3, 5

Step-by-step explanation: