Given the equations f(x)= 4x+3 and g(x)=2x-1 find f-g

To show that 3/5 and 6/10 are equivalent using a number line, mark both fractions on the number line using tenths. As 3/5 is equal to 6/10, both fractions will land on the same point, confirming their equivalence.

The question is asking us to show that 3/5 and 6/10 are equivalent using a number line. First, let's understand that these are both fractions and are representations of the same value. To show this equivalence on a number line, start by drawing a line and marking it in increments from 0 to 1. You can choose to have 10 ticks, therefore each tick will represent 0.1.

Mark 3/5 on your number line by counting 6 ticks/tenths (because 3/5 is equal to 6/10 when the denominator is 10) from zero. Now, also mark 6/10 on the number line by counting 6 tenths from zero. You will find that both the fractions 3/5 and 6/10 land on the same point on the number line, thus showing they are equivalent.

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Mark both fractions on the number line with tenths to demonstrate that 3/5 and 6/10 are equivalent. Because 3/5 equals 6/10, both fractions will settle on the same point, proving their similarity.

The question asks us to use a number line to demonstrate that 3/5 and 6/10 are comparable. To begin, recognize that these are both fractions and represent the same amount. To demonstrate this equivalency on a number line, draw a line and mark it in increments of 0 to 1. You have the option of having 10 ticks, in which case each tick represents 0.1.

Mark 3/5 on your number line by counting 6 ticks/tenths from zero (since 3/5 equals 6/10 when the denominator is 10). Mark 6/10 on the number line as well by counting 6 tenths from zero. Both the fractions 3/5 and 6/10 land on the same point on the number line, indicating that they are comparable.

Answer:

option C (3, 2)

Step-by-step explanation:

We have to solve the system of equation by substitution method.

2x + y = 8 ------(1)

y = -x + 5 -------(2)

Now we substitute the value of y from equation (2) to equation (1)

2x + ( -x + 5) = 8

2x - x + 5 = 8

x + 5 = 8

x = 8 - 5

x = 3

Now from equation (2)

y = -x + 5

y = - 3 + 5

y = 2

Therefore, option C (3, 2) will be the answer.

Answer:

I would say associative property of multiplcation

Step-by-step explanation:

Your just switching the parenthesis to a different set of numbers you arent changing the order of the numbers and they have multiplying signs inside the parenthesis

Answer:

152/7=21.714 hrs

152/8=19

It took the whale between 19 and 21.7 hours to swim 152 kilometers

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

[tex]\frac{1}{3} * \frac{50}{100}  = \frac{50}{300} = \frac{1}{6}[/tex]

Answer: Nonlinear

Step-by-step explanation: If the exponent is to a power other than 1, it is nonlinnear.

The area of a circle, represented by the expression 3.14r², is a nonlinear function because the area changes in proportion to the square of the radius, demonstrating a quadratic change rather than a linear one.

The area of a circle is a function of the radius, represented by the expression 3.14r². This represents a nonlinear function because the area of the circle does not change at a constant rate with respect to the radius. Instead, the area changes in proportion to the square of the radius, which is a defining characteristic of a quadratic or second-degree polynomial function, not a linear one.

To further illustrate, let's consider a circle with a radius of 1 inch, which would have an area of approximately 3.14 square inches. If the radius is doubled to 2 inches, the area becomes approximately 4 times larger, not double, because the area is 3.14 * (2²) = 3.14 * 4 square inches. This quadratic change demonstrates the nonlinearity of the area function in relation to the radius.

Answer:

We will need 5 1/3 lbs  of hamburger

Step-by-step explanation:

We can use ratio's to solve this problem.  We will put breadcrumbs on top and hamburger on bottom.

1/4 c         1 1/3 c

--------- = -----------

1 lb             x lbs

Using cross products

1/4 *x = 1 * 1 1/3

1/4x = 1 1/3

Multiply each side by 4

4 * 1/4 x = 4 * (1 1/3)

x = 4 * 1 1/3

We need to convert 1 1/3 to an improper fraction

1 1/3 = (3*1+1)/3 = 4/3

x = 4 * 4/3

x = 16/3

Now we need to convert it back to a mixed number

3 goes into 16 5 times with 1 left over

x = 5 1/3 lbs

Answer:

54.56

Step-by-step explanation:

The number after the point is not 5 or higher

Answer:

(x-1) x-12

Step-by-step explanation:

Step 1 :  Multiply first term of the first bracket to the first term of the other bracket

Step 2 :  Then multiply the first term of the first bracket to the last term of the second bracket.

Step 3 :  Now come to the second term of first bracket, multiply second term with first term of second bracket.

Step 4 :  Finally multiply last term of first bracket with the last term of the second bracket.

Step 5 :  Adding all the answers got from the steps, we get the final answer.

Final answer:

The FOIL method is an algebraic technique for multiplying two binomials, represented as (First, Outer, Inner, Last). For the expression (X+3)(x-4), we apply this method to get x^2 - x - 12 after combining like terms.

Explanation:

The FOIL method is a technique used in algebra to multiply two binomials. The acronym FOIL stands for First, Outer, Inner, Last and refers to the order in which you multiply the terms in the binomials. Applying the FOIL method to the expression (X+3)(x-4), we multiply the First terms (x × x), the Outer terms (x × -4), the Inner terms (3 × x), and the Last terms (3 × -4), then sum them all.

Step-by-step, this looks like:

First: x × x = x^2

Outer: x × (-4) = -4x

Inner: 3 × x = 3x

Last: 3 × (-4) = -12

Now, combine these results to get the final expression:

x^2 - 4x + 3x - 12

Combining like terms, we have:

x^2 - x - 12

Answer:

The fraction 22/7 is sometimes used as an estimate of is "pi."

Yes, it is a repeating fraction.

Step-by-step explanation:

22 divided by 7 is 3.142857142857143... going on into infinity. It is an estimate of pi, and does repeat every 6 decimal numbers.

Answer:

23 ) 60 x raised to 3  , y raised 3  , z raised to 3

25 ) 12 p

Step-by-step explanation:

23 ) volume of a rectangular box = l ×b×h

       3x square y * 4y square * 5z square x

        60 x raised to 3

25 )  area of a square = side × side

        (3×4) p

          12 p

Answer:

well what you do is times it

Step-by-step explanation:

so 14 x 12 and its 168 and 168 x 5 is 840 so its 840 c

can i get brainlyest

your welcome

Answer: Your answer will be 1,416

Step-by-step explanation: First you see how many day March and February had March had 31 days and 31 days= 744 hours and February has 28 days and 28 days= 672 hours so know I add the two numbers 744 + 672 = 1,416.

Answer:

You should multiply with the days in March which is 744 hours. And then you have to multiply with the days in February witch is 696 and then you have to subtract them.

Step-by-step explanation:

have a nice day.

Answer:D)66

Step-by-step explanation:

55 /x = 5/ 6

Step 1: Cross-multiply.

55 /x = 5/ 6

(55)*(6)=5*x

330=5x

Step 2: Flip the equation.

5x=330

Step 3: Divide both sides by 5.

5x /5 = 330 /5

x=66

Answer:

d

Step-by-step explanation:

Answer:n^2/(n+1)

Step-by-step explanation:

n=1

1^2/(1+1) = 1/2

n=2

2^2/(2+1) = 4/3

n=3

3^2/(3+1) = 9/4

Answer:

n^2/(n + 1)

Step-by-step explanation:

The numerators are the squares of the sequence numbers 1^1  2^2  3^2....

The denominators are the  sequence numbers + 1, so the nth term is

n^2/(n + 1).

Answer:

4, 4452 scooters were sold

Step-by-step explanation:

Add the number of scooters sold in the previous 3 years.

725 + 679 + 696 = 2100

If In year 4, the store sold 112% of the total number of scooters sold during the previous three years combined, then we have:

2100 (1 + 1.12) = 4452

In Year 4, 4452 scooters were sold

Answer:

2352

Step-by-step explanation:

We are given that:

The number of scooters sold at a store during a three-year period

Year 1-725

Year 2-679

Year 3-696

In year 4,the store sold 112% of the total number of scooters sold during the previous three years combined.

Total scooters sold in previous three years=725+679+696

                                                                       = 2100

the number of scooters sold in year 4=112% of 2100

                                                               = [tex]\dfrac{112}{100}\times 2100[/tex]

                                                               =2352

Answer:

not enough information

Step-by-step explanation:

Answer:

A. 2 x 10^1

Step-by-step explanation:

6 x 10^4 / 3 x 10^3

= (6/3) x 10^(4 - 3)

= 2 x 10^1

Answer:

b

Step-by-step explanation:

nb

Answer:

When two events X and Y are independent,

Then, P(X ∩ Y) = P(X) × P(Y)

We know that,

[tex]P(\frac{X}{Y})=\frac{P(X\cap Y)}{P(Y)}\text{ and }P(\frac{Y}{X})=\frac{P(X\cap Y)}{P(X)}[/tex]

Thus, by substituting the value of P(X ∩ Y),

[tex]P(\frac{X}{Y})=P(X)\text{ and }P(\frac{Y}{X})=P(Y)[/tex]

Which is the required condition for independent events.

In first option,

P(A)=0.3, P(B)=0.5, P(A|B)=0.15

[tex]\implies P(\frac{A}{B})\neq P(A)[/tex]

⇒ A and B are not independent events

In second option,

P(A)=0.2, P(B)=0.4, P(A|B)=0.2

[tex]P(\frac{A}{B})=P(A)[/tex]

⇒ A and B are independent events.

In third option,

P(A)=0.6, P(B)=0.2, P(A|B)=0.3

[tex]\implies P(\frac{A}{B})\neq P(A)[/tex]

⇒ A and B are not independent events

First Part: Not independent

Second Part: Independent

Third Part: Not independent

Two events A and B are independent if:

[tex]P(A|B)=P(A|B') \\Or,P(B|A)=P(B|A')[/tex]

Given,

[tex]P(A)=0.3, P(B)=0.5, P(A|B)=0.15[/tex]

[tex]P(A)=0.2, P(B)=0.4, P(A|B)=0.2[/tex]

[tex]P(A)=0.6, P(B)=0.2, P(A|B)=0.3[/tex]

[tex]P(A\cap B)=P(A|B)P(B)[/tex]

Then by substituting we get,

[tex]P(A|B)=P(A)[/tex] and [tex]P(B|A)=P(B)[/tex]

Computation of First probability:

So, if the probability is independent it will follow the above conditions.

[tex]P(A|B)=0.15\\P(A)=0.3\\0.3\neq 0.15\\ P(A|B)\neq P(A)[/tex]

So, it is not independent

Computation of second probability:

So, if the probability is independent it will follow the above conditions.[tex]P(A|B)=0.2\\P(A)=0.2\\0.2=0.2\\ P(A|B)= P(A)[/tex]

So, it is independent

Computation of second probability:

So, if the probability is independent it will follow the above conditions.

[tex]P(A|B)=0.3\\P(A)=0.6\\0.3\neq 0.6\\ P(A|B)\neq P(A)[/tex]

So, it is not independent.

Learn More: https://brainly.com/question/11348505

Answer:

A. y<-12

Step-by-step explanation:

y+15<3

To solve this inequality, we need to isolate  y.

To do this we will subtract 15 from each side.

y+15-15<3-15

y < -12

Answer:

60

Step-by-step explanation:

The 6 in 126 743 has a place value of 6000.

A number that is one-hundredth the value of 6000 is

6000/100 = 60

Any number that has a 6 in the tens place has a 6 with a place value of 60.

Two examples are 60 and 124 763.

Answer:

70

Step-by-step explanation:

Range is the difference between the lowest and the hist number

Range=max-min

120-50=70

since 120 is the highest number and 50 is the lowest you subtract and get 70

Hope this helps!

I got 83.48 so i think it's B 85%

Answer:

360 screws

Step-by-step explanation:

First we need to determine how many screws she needs for the 2 decks

We will determine the number of screws for 1 deck

1 deck uses 25 pieces of wood

25 pieces of wood * 8 screws/ piece of wood = 200

200 screws per deck

She is building 2 decks

2 * 200 = 400

400 screws for the 2 decks

She has 40 screws

400 screws she needs - 40 screws she has = 360 screws she still needs

The Percentage of Sally's Team Wins :

[tex]\bf{\implies (\frac{Number\;of\;Games\;won\;by\;the\;Team}{Total\;Number\;of\;Games\;the\;Team\;Played}) \times 100}[/tex]

Given : Total Number of Games the Team Played = 25

Given : Number of Games won by the Team = 17

[tex]\bf{The\;Percentage\;of\;Team\;Wins = (\frac{17}{25}) \times 100}[/tex]

⇒ The Percentage of Sally's Team Wins = (17 × 4) = 68%

Sally's soccer team played 25 games and the team won 17 games. What percent of games did the team win?

The fraction [tex]\frac{17}{25}[/tex] represents the number of games that Sally's soccer team won out of all the games the team played.

To find what percent of games the team won, we can turn the fraction [tex]\frac{17}{25}[/tex] into a percent.

17 ÷ 25 = 0.68

0.68 × 100 = 68%

Therefore, Sally's soccer team won 68% of the games they played.

Answer: its correct because as x increases by 2 the function increases by two at the same time causing answer b to correctly describe what is happening.

Choice B is correct because the function creates a steep slope that increases rapidly (the majority of the other answers are saying that the slope of the function increases slowly, which is not true). Here is an image of the graph of the function:

Answer:

Take it slowly

Step-by-step explanation:

[tex]\bf 5(x-5)^2-9=6\implies 5(x-5)^2=15\implies (x-5)^2=\cfrac{15}{5}\implies (x-5)^2=3 \\\\\\ \sqrt{(x-5)^2}=\sqrt{3}\implies x-5=\sqrt{3}\implies x=\sqrt{3}+5[/tex]

Answer:

C x-3

Step-by-step explanation:

3 less than x - 49

Is means =

less than means -  (reversing the order)

x-3 = 49

Answer: C) x - 3 = 49

Step-by-step explanation: X represents the number that we are subtracting things from. 3 is how much (the number that we are) subtracting. 49 is the difference/answer. The problem is pretty much asking us to subtract 3 from x and get 49 as the answer. So, if you wrote that mathematically, the answer would be x - 3 = 49.

Hope that helped, fam!

-Une :D

Answer:

81/16

Step-by-step explanation:

We have [(3^2 * 5^0) / 4]^2

= [ ( 9 * 1) / 4]^2

= (9/4)^2

= 81/16

Answer:

81/16

Step-by-step explanation:

3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared

[(3^2 * 5^0)/4]^2

According to PEMDAS, we work the inside parentheses first

3^2 * 5^0

3^2 = 9

5^0 = 1

9*1 =9

[(3^2 * 5^0)/4]^2

[9/4]^2

I will break this up into parts

9^2/4^2

9^2 =81

4^2 =16

81/16