F(x) =2x-6 and g(x) = 7x +7.
i. Find f(x) = g(x).
ii. Find f(x) -g(x)
iii. Find f(x) + g(x)

Answer:

300, percentage increased by 12% (percent) of its value = 336

Step-by-step explanation:

Step-by-step explanation:

you can ask questions for clarification

Answer:

8< (2) ( 7- (2)) = 8<10 which is true

so A. is the answer

Step-by-step explanation:

Answer:

j = $7

b = $12

c = $15

Step-by-step explanation:

Let

j = cost of one pound of jelly

b = cost of one pound of Bonbon

c = cost of one pound of chocolate

First week:

two pounds of Jellies and two pounds of Bonbons for $38.

2j + 2b = 38

Second week:

two pounds of Jellies and four pounds of Chocolates for $74

2j + 4c = 74

Third week:

two pounds of Jellies, two pounds of Bonbons and one pound of Chocolates for $53.

2j + 2b + c = 53

Recall,

2j + 2b = 38

So,

38 + c = 53

c = 53 - 38

= 15

c = $15

Substitute c = 15 into

2j + 4c = 74

2j + 4(15) = 74

2j + 60 = 74

2j = 74 - 60

2j = 14

j = 14/2

= 7

j = $7

Substitute j = 7 into

2j + 2b = 38

2(7) + 2b = 38

14 + 2b = 38

2b = 38 - 14

2b = 24

b = 24/2

= 12

b = $12

Answer:

he faked too much

Step-by-step explanation:

Answer: 9/12 is equivalent to 3/4.

Explanation: 3 times 12 = 36 and 4 times 9 = 36.

Hope this helps!

Answer:

$7 200

Step-by-step explanation:

Amount of money paid for charity = [tex]\frac{10}{100}[/tex] × $22 000

                                                         = $2 200

Remaining money left for children = $22 000 - $2 200 - $10 800

                                                         = $9000

Let the amount of money her son receives be x and the amount her daughter gets be 4x.

Son's $ + Daughter's $ = $9000

x + 4x = 9000

5x = 9000

Amount of money her daughter gets (4x) = [tex]\frac{4}{5}[/tex] × 9000

                                                                     = $7 200

Answer:

It's 25

Step-by-step explanation:

Answer:

1. n is 1 or -1

2. x is 6 or -6

Step-by-step explanation:

1. |n| -4 = -3

|n| = -3 + 4

|n| = 1

so n = 1 or - 1

2) -3|x| = -18

divide both sides by -3

|x| = -18/-3

|x| = 6

so x = -6 or 6

Answer: March 6th, 2021

Answer:

3

Step-by-step explanation:

if a=3 then 12-3a = 12-9 = 3

3. No, I am not using my resources very efficiently. This is because when we need to make more hiking boots you have to make fewer running shoes.

4. I would recommend for them to focus on the hiking boots more because they use less material to make them.

hope this is correct c:

Yes, my resources are being used efficiently if I choose point D, as then I will be making equal amounts of product (1 to 1 ratio).

What is a statistics?

'Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.'

According to the given problem,

This is the most efficient point by far compared to the others, because the two axes are the closest together out of all of the 7 points.

I would recommend that the Shoe Hut focus on both of them, as they have a perfect 1 to 1 ratio.

However, if needed, it is possible to allocate all production power towards running shoe insoles at a 15 to 0 ratio compared to hiking shoe insoles at10 to 0.

Hence, we concluded that, It would be better for the shoe hut to focus on running shoe insoles because they are easier to produce and there is less production of cost.

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Answer:

30 oranges

Step-by-step explanation:

Total number of apartment in julissa floor = 6

Number of oranges given to each apartment = 5

how many oranges did Julissa give out in all?

Total number of oranges julissa's gave out = Total number of apartment in julissa floor × Number of oranges given to each apartment

= 6 × 5

= 30 oranges

Therefore, total number of oranges julissa gave out = 30

Answer:

30

Step-by-step explanation:

30

Answer:

We conclude that the numerator of a rational number 8 will be 8.

Step-by-step explanation:

We know that any number which can be written in the form p/q is called a rational number.

i.e. p/q

Where p and q are integers and q≠0.

Here:

Given the number

8

As number '8' can be written in the form p/q, so it is a rational number.

i.e. 8/1

Thus,

Therefore, we conclude that the numerator of a rational number 8 will be 8.

Answer:???

Step-by-step explanation:

Answer:

(1,15)

Step-by-step explanation:

Answer:

speed and distance covered

Step-by-step explanation:

when the distance is a constant, the time is related inversely.

Answer:

I am sorry thats a lot to type out.

Step-by-step explanation:

I will say that to know if its rational, you have to see if the integer can be written in a fraction (like 0.333, 89/10, -4, 0)

Answer:

Whole numbers: 3, [tex]\sqrt{4}[/tex], [tex]\frac{49}{7}[/tex], zero

Integer but not whole: -100, -34, -4, -[tex]\frac{8}{4}[/tex]

Rational number: 9.23456, [tex]\frac{1}{2}[/tex], [tex]\frac{89}{10}[/tex], 0.333_

Irrational number: [tex]\pi[/tex], 0.456783_, [tex]\sqrt{8}[/tex]

Step-by-step explanation:

Whole number is any number that does not have a decimal and is not negative. [tex]\sqrt{4}[/tex] = 2. [tex]\frac{49}{7}[/tex] = 7. 0 is not negative and does not have a decimal so it is also a whole number.

Integers are any number that does not have a decimal and can be both positive or negative. -[tex]\frac{8}{4}[/tex] = -2.

A rational number can have a decimal but the decimal digits must terminate or the digit must repeat.  [tex]\frac{1}{2}[/tex] is 0.5.  [tex]\frac{89}{10}[/tex] is 8.9 and 0.333_ repeats the digit 3 so it is rational.

An irrational number can have a decimal and the decimal digits must list on forever or not repeat. [tex]\pi[/tex] is naturally an irrational number as it does not repeat and it spreads on forever. 0.456783_ does not repeat and goes on forever due to the dash at the back. [tex]\sqrt{8}[/tex] is also not rational.

Answer:

Largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)

Step-by-step explanation:

We need to find the largest number ins scientific notation.

The number which has highest degree would be the largest.

In the given options, Diameter of Sun has highest power i.e 10⁹

All other options have lower degrees.

So, largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)

Answer:

y = 6.32

Step-by-step explanation:

7^2-3^2= 40

hope it helped

Answer:

44.4%

Step-by-step explanation:

Given that:

Equation of best fit : y = 4x + 15

Where, y = number of trees x years after a planting program

When x = 3

y = 4(3) + 15 = 12 + 15 = 27 trees

When x = 6

y = 4(6) + 15 = 24 + 15 = 39 trees

Percentage change in total number of trees:

((39 - 27) / 27) * 100%

(12 / 27) * 100%

0.44444 * 100%

= 44.4%

Step-by-step explanation:

44 + 45h = 179

45h = 179 - 44

45h = 135

h = 135/45

h = 3 It took 3h to repair

I hope that help's

Answer:

Sum of the two separate equations.

The values satisfies the equation

Step-by-step explanation:

Given the equations for the two separate days :

125a +65 s = 1,200 - - - Friday

140a +50s = 1,230 - - - Saturday

265a+115s=2430 means the addition of the two separate equations which means the overall sales for the two days in one single equation.

B)

Because, Inputting the solution, satisfied the equation:

a = 7 ; s = 5

265a+115s=2430

265(7) + 115(5) = 2430

1855 + 575 = 2430

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

6n + 7 = 55

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that 55 does indeed equal 55.

∴ n = 8 is a solution of the equation.

Answer:

n =8 I hope this helped

Solution:

6n +7-7=55-7

I hope this helped

Answer:

[tex]7x^{2} y-2xy^2+xy[/tex]

Three terms.

Two terms are positive.

Step-by-step explanation:

[tex]8x^2y + 3xy^2 - 2xy - x^2y + 3xy - 5xy^2[/tex]

Group like terms

[tex]=8x^{2} y-x^{2} y+3xy^2-5xy^2-2xy+3xy[/tex]

Add similar elements: [tex]8x^{2} y-x^2y=7x^2y[/tex]

[tex]=7x^2y+3xy^2-5xy^2-2xy+3xy[/tex]

Add similar elements: [tex]3xy^2-5xy^2=-2xy^2[/tex]

[tex]=7x^{2} y-2xy^2-2xy+3xy[/tex]

Add similar elements: [tex]-2xy+3xy=xy[/tex]

[tex]=7x^2y-2xy^2+xy[/tex]

[tex]7x^2y[/tex] and [tex]-2xy^2[/tex] and [tex]xy[/tex] are the three different terms.

Only [tex]7x^2y[/tex] and [tex]xy[/tex] are positive terms, thus making two positive terms.

Answer:

y = -x + 6

Step-by-step explanation:

you will carry the character "X" to the right hand side making it "-x"

Equation x + 2y = 6 is equivalent to y = 3 - x/2

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

x + 2y = 6,

Subtract x from both the sides,

x + 2y - x = 6 - x

2y = 6 - x

Divide both the sides by 2,

y = 3 - x/2

The equation x + 2y = 6 can be expressed as y = 3 - x/2.

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Answer:

[tex]\frac{5}{7\\}[/tex] * [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{21}[/tex]

Step-by-step explanation:

To get an equivalent fraction, we multiply by a fraction that is equal to one. The purpose is to alter the denominator of the fraction. To get from a denominator of 7 to 21 we multiply by 3. Therefore we will multiply 5/7 by 3/3 to get the new equivalent fraction with a denominator of 21.

Answer:

a0 - 15

Step-by-step explanation:

Answer:

The answer is 12.5

Answer:

put down the 1/6 and the 1/2 on the number line then calculate the fraction of how far spread they are

Step-by-step explanation:

put down the fractions, calculate how far away they are

2 step explination its 3/6

hope its right................

Answer:

33

Step-by-step explanation:

90-57 = 33

Answer:

33 degrees

Step-by-step explanation:

its a right triangle which is 90 degrees so if you just subtract 90-57 you'll get your answer which is 33.