Given the function f(x) = 3x + 1 and the linear function g(x), which function has a greater value when x = 3?

f(x) is greater.
g(x) is greater.
f(x) and g(x) are the same when x = 3.
g(x) is undefined when x = 3.

Final answer:

The slope of the line represented by the equation 12x - 8y + 7 = 9 is 3/2. To find this, the equation was rearranged into slope-intercept form, revealing the slope as the coefficient of x.

Explanation:

To find the slope of the line with the given equation 12x - 8y + 7 = 9, you first need to rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

First, subtract 12x from both sides of the equation to isolate terms with y on one side:

-8y = -12x + 2

Next, divide each term by -8 to solve for y:

y = (12/8)x - 2/8

Simplify the fractions:

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

Now the equation is in slope-intercept form, and you can see that the slope m is 3/2 or 1.5. Therefore, the slope of the line is 3/2.

Answer:

b ≈ 13.80 in

Step-by-step explanation:

Since the triangle is right use the tangent ratio to solve for b

tan17.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{43.21}[/tex]

Multiply both sides by 43.21

43.21 × tan17.71° = AC, hence

AC = b ≈ 13.80 ( to 2 dec. places )

Answer: 0.15

Step-by-step explanation:

Multiply 0.03 by 5.

Answer:0.15

Step-by-step explanation:

First multiply 3 and 5. Then you will get 15. In the question it says 0.03 and its 2 digit from decimal so in 15 you will put a decimal 2 digit from the left and you will get 0.15

Answer: I believe first one is 32/99 and the second one is 2 whole numbers and 5/9

Step-by-step explanation:

The number 0.323232... can be written as a fraction 32/99, while the number 2.55555... can be written as the mixed number 2 5/9.

To write 0.323232... as a fraction, you can use the method for converting repeating decimals to fractions. Let's say X = 0.323232... Then 100X = 32.323232..., and subtracting the first equation from the second gives 99X = 32, or X = 32/99.

For the number 2.55555..., we will have our whole number as '2' and we need to convert .55555... into a fraction. Let's use the same method: if Y = .55555..., then 10Y = 5.55555.... Subtracting these gives 9Y = 5, which simplifies to Y = 5/9. So, 2.55555... as a mixed number is 2 5/9.

Learn more about Repeating Decimals here:

https://brainly.com/question/31325113

#SPJ6

Answer:

$63

Step-by-step explanation:

let x represent Charity B then Charity A = 5x

Sum the two and equate to 378, that is

x + 5x = 378

6x = 378 ( divide both sides by 6 )

x = 63

Thus Charity B received $63

Answer:

x=-4 y=2

Step-by-step explanation:

y=-14-9x÷9

6x-5 (14-9x÷9)=-34

6x-(70+45x÷9)=-34

Take LCM

and then do it

Answer:

45mph.

15 x 3 = 45

20 x 3 = 60

so 60 ÷20 = 3

15 × 3 = 45

since 1 hour is 60 minutes

60 divided by 20 is 3

And 15 miles in 20 minutes times 3 is 45 miles in one hour

Answer:  4

Step-by-step explanation:

Inversely proportional means xy = k, where k is the constant of proportionality

First, find k when x = 2 and y = 400 ----> 2(400) = k   --> 800 = k

Then, find y when x = 200 (knowing that k = 800)

                                    200y = 800

                                           y = 4

Answer:

3

Step-by-step explanation:

If you look closely every X is changing by 3 so 3·y=x

Answer:

The value in the table that makes the quantities proportional to one another is y = 3

Step-by-step explanation:

Two quantities x and y  are proportional one to another if they can be expressed  as

y = kx

where k is the constant of proportionality. We can find k using an specific point. Take the first one

y = kx

k=  y/x  with (3.1 )

k= 1/3

So

y =1/3x for this case

If the two quantities are proportional, this rule must be true for any point (x,y) . Lets prove it

Point 2 (6,2)

2 =1/3*(6)

2= 2 True

Point 4 (12,4)

4 =1/3*(12)

4= 4 True

So to accomplish the rule in point 3, and finally in all table we must have that

y =1/3x is true  for Point 3 (9,y) Then

y = 1/3 (9) = 9/3 = 3

y= 3

Y must be 3

Answer:

3x + 5y = 4 or y = -⅗x + ⅘

Step-by-step explanation:

First, find the Rate of change [Slope]:

-y₁ + y₂\-x₁ + x₂ = m

-2 - 1\2 + 3 = -⅗

Apply the Point-Slope Formula, y - y₁ = m(x - x₁), since we are given points. It does not matter which one you choose. NOTE: All negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs:

y + 1 = -⅗(x - 3)

y + 1 = -⅗x + 1⅘

- 1 - 1

_________________

y = -⅗x + ⅘ >> Line in Slope-Intercept Form

If you want it in Standard Form:

y = -⅗x + ⅘

+⅗x +⅗x

____________

⅗x + y = ⅘ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅗x + y = ⅘]

3x + 5y = 4 >> Line in Standard Form

__________________________________________________________

y - 2 = -⅗(x + 2)

y - 2 = -⅗x - 1⅕

+ 2 + 2

________________

y = -⅗x + ⅘ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅗x + y = ⅘]

3x + 5y = 4 >> Line in Standard Form

I am joyous to assist you anytime.

** You see? I told you it did not matter which ordered pair you choose because you get the EXACT SAME RESULT. :]

Answer:

it's rational

Answer:

rational.

Step-by-step explanation:

If it can be written as a fraction it is rational. If it cannot be written as a fraction it is irrational.

I answered this question already.

Answer:

2 √2

Step-by-step explanation:

2^√(3) =  {(2)³}¹/²

           = (8)¹/² = √8

           =  √2 * 2 *2 = 2 √2

Answer:

1a. 460313

1b. 405040

1c. 100000 more

2a. 176960

2b. 12097

2c. 839000

2d. 452210

Step-by-step explanation:

2d. 442210

+ 10000

________

452210

2c. 849000

- 10000

________

839000

2b. 13097

- 1000

_______

12097

2a. 100000

+ 76960

________

176960

1c.

[tex] - 347077 + 447077 = 100000[/tex]

1b.

[tex]300000 + 90000 + 5000 + 40 = 395040 \\ \\ 10000 + 395040 = 405040[/tex]

1a.

[tex] -100000 + 560313 = 460313[/tex]

I am joyous to assist you anytime.

Answer:

6 Minutes

Step-by-step explanation:

3 days is 72 hours

72/6 = 12

12 * 0.5 = 6

Answer:

She stopped to rest for 45 minutes.

Step-by-step explanation:

It's where the line is straight. What's the second question?

Answer:

0.75 (45 mins) for both

Step-by-step explanation:

It's because the rest is the time where no activity is happening (the straight line). That line when measured from its start to end is mins 45 to mins 90, and when subtracted, gives 45 mins. For the initial ride it is from where the line moves upward until it stops. That goes from mins 0 to mins 45 ad when subtracted gives 45 mins.

Answer:

Emmett

Step-by-step explanation:

Kira is younger than Nila

So Nila>Kira

Nila is older than Mike and Mike is older than Kira

Nila>Mike>Kira

Nila is younger than Emmett

Emmett>Nila>Mike>Kira

Answer:

Emmett is older

Nila is older than Kira.

Nila is older than Mike.

Nila is younger than Emmett.

Therefore, Emmett is older than Nila.

And if Nila is older than Kira, and Emmett is older than Kira, Emmett is oldest.

2x+10 + 4x+1

2x+4x+10+1 ( combine like terms)

2x+4x=6x

10+1=11

Answer: 6x+11

Answer:

6x+11

Step-by-step explanation:

Collect the like terms and add them up.

2x+4x and 10+1

=6x+11

Have a nice day!!!!!!! :-)

KA

Final answer:

The ratio of boys to girls in Mrs. Fronko's class in simplest form is 3:4, obtained by dividing both sides of the given ratio, 6:8, by the greatest common divisor, which is 2.

Explanation:

To find the ratio of boys to girls in Mrs. Fronko's class in its simplest form, we will start with the ratio given, which is 6 boys for every 8 girls. This can be written as 6:8. To simplify ratios, we divide both sides of the ratio by the greatest common divisor. In this case, the greatest common divisor of 6 and 8 is 2. Therefore, we divide both numbers by 2 to find the simplest form of the ratio.

6 ÷ 2 = 3 and 8 ÷ 2 = 4.

After dividing both numbers by 2, the ratio becomes 3:4. This indicates that for every 3 boys, there are 4 girls in Mrs. Fronko's class, and this is the simplest form of the ratio.

Answer:

Amount of sales = rs 10,000.

Step-by-step explanation:

He earns 2000 - 1000 =  rs 1000 from sales.

This  equals 10% ( = 0.10 as a fraction) of his sales so his sales must have been  1000 / 0.10

= rs 10,000.

Answer:

-4

-----

3

Step-by-step

x1,y1

(4,0),

x2,y2

(-2,8)

y2-y1/x2-x2

8-0/(-2)-4=8/-6= -4

                          -----

                           3

Answer:

1 hour

Step-by-step explanation:

set town one equation to  3 + 6x and town two equation to 6+3x

set these two equations equal to each other and solve for x

3 + 6x = 6 + 3x

3x = 3

x = 1

1 hour

Answer:

17140

Step-by-step explanation:

The number in the tenths place is 5 or higher so you need to round it up to 17140.

Answer:

17140

Step-by-step explanation:

If the number in the tenths place is 5 or more, round the number up.

Answer:

It's C. If you divide them you get 1.25 for both of them and its proportional

Answer:

22 milliliters

step by step

solution B x 22

20 x 22 = 440 milliliters

Final answer:

Tom uses 1,500 mL of Solution B. By setting up equations using the volume percentage of alcohol in each solution and solving for 'x', the volume of Solution A, we find the required volume for Solution B.

Explanation:

To solve for the volume of Solution B that Tom uses, we first establish the equations based on the information given. Let's denote the volume of Solution A as x mL. Thus, the volume of Solution B will be x + 500 mL. The total amount of pure alcohol in the final mixture is 440 mL.

Using the volume percentage for alcohol content in each solution, we can set up two equations to find x. The first equation is based on Solution A (14% alcohol) and the second on Solution B (20% alcohol):

The total volume of alcohol combined from both solutions is equal to 440 mL, which gives us the equation:

0.14x + 0.20(x + 500) = 440

Solving for x we get:

Since x is the volume of Solution A and we know that Solution B is 500 mL more than Solution A, we calculate the volume of Solution B as follows:

x + 500 = 1,000 + 500 = 1,500 mL

Therefore, Tom uses 1,500 mL of Solution B.

Answer:

The lowest score 4th judge can give this dancer in order for her to move to the semi finals is 7.7.

Step-by-step explanation:

Let x points be the score that 4th judge gave to the dancer.

The first three judges gave the dancer 8.9 points, 7.1 points and 8.3 points.

In total, the dancer got

[tex]8.9+7.1+8.3+x=24.3+x[/tex] points

The average score is

[tex]\dfrac{24.3+x}{4}[/tex]

This average score must be at least of 8 points, so

[tex]\dfrac{24.3+x}{4}\ge 8\\ \\24.3+x\ge 32\\ \\x\ge 32-24.3\\ \\x\ge 7.7[/tex]

The lowest score 4th judge can give this dancer in order for her to move to the semi finals is 7.7.

Answer:

I don't actually know the answer to this question please

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$200\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=200\left(1+\frac{0.04}{1}\right)^{1\cdot 5}\implies A=200(1.04)^5\implies A=243.33058048[/tex]