I have more questions like this so, if you can do a step by step i would love that!

Answer:

I think 15

Step-by-step explanation:

Given:

The equation of line is

[tex]y=\dfrac{1}{3}x-1[/tex]

To find:

The equation of line in slope-intercept form parallel to given line and passes through (6,10).

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]       ...(i)

where, m is slope and b is y-intercept.

The equation of given line is

[tex]y=\dfrac{1}{3}x-1[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]m=\dfrac{1}{3}[/tex]

Slope of given line is [tex]\dfrac{1}{3}[/tex].

We know that slope of parallel lines are same. So, the slope of required line is [tex]\dfrac{1}{3}[/tex].

Since slope of required line is [tex]\dfrac{1}{3}[/tex] and it passes through (6,10), therefore the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-10=\dfrac{1}{3}(x-6)[/tex]

[tex]y-10=\dfrac{1}{3}(x)-\dfrac{1}{3}(6)[/tex]

[tex]y-10=\dfrac{1}{3}(x)-2[/tex]

Add 10 on both sides.

[tex]y-10+10=\dfrac{1}{3}(x)-2+10[/tex]

[tex]y=\dfrac{1}{3}(x)+8[/tex]

Therefore, the required equation of line is [tex]y=\dfrac{1}{3}(x)+8[/tex].

Answer:

Step-by-step explanation:

Answer:

x ≤ -9

Step-by-step explanation:

x-3 ≤ -12

x ≤ -12+3 (Isolate x)  

x ≤ -9

sorryStep-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = a(x - h)² + k           - vertex form of the equation of the parabola with vertex (h, k)

so the equation of parabola with the vertex (4, -4) is

f(x) = a(x - 4)² - 4  

passes through the point (2, 12)  means if x=2 then f(x)=12

12 = a(2 - 4)² - 4  

12 +4 = a(-2)² - 4 +4

16 = 4a

a = 4

Therefore the equation (in vertex form) of parabla is:

                                  f(x) = 4(x - 4)² - 4  

Answer:

integer

Step-by-step explanation:

Answer:

b. g (x) = 9f (0)

Step-by-step explanation:

hope it help

==========================================================

Explanation:

Replace f(x) with y. This is valid because both represent outputs of a function. This means f(x) + 9 is the same as y+9, which means "move every point up 9 units".

For instance, the point (1,1) turns into (1,10) after moving it up 9 units. Here we added 9 to the y coordinate while keeping the x coordinate the same. You can write the translation rule as [tex](x,y) \to (x, y+9)[/tex]

Answer: 4

Step-by-step explanation:

so you basically make the + sign into a - sign as when there is a + and - sign next to each other it will always change into a - sign so once you do that it will look like this

11+(-7)

11-7

4

Answer:

26 because 30-4=26

Step-by-step explanation:

Answer:

Following are the solution to this question:

Step-by-step explanation:

An alternative black, white, and grey design of the tile is also desired. She needs her color scheme to suit the top boundary of the tile. Therefore, the central tile paint should be grey to ensure a white top boundary. To ensure, that perhaps the outer end is white, the color of the center tile shall be dark.

Answer:

-3x

Step-by-step explanation:

Answer:

Step-by-step explanation:

If we multiply any negative number in this case -3 times a POSITIVE we will always get a negative. So the positive we can put as x and multiply -3 times x = -3x.

Hope this helps :D

Answer: 15

Step-by-step explanation:

Answer:

excfvgbhnj

Step-by-step explanation:

D. y + 5 = - (x - 5 )

Answer:

the answer would be 1.82

Step-by-step explanation:

it is this answer because you have to see how much money goes into one cupcake which to put stuff into different places you have to divide 12/6.60

Answer:

$0.55 Hope this helps!!!!!!!

Step-by-step explanation:

Remember that is that a dozen is equal to 12.

12x= 6.60

/12     /12

x=.55

Answer:

Blue

Step-by-step explanation:

Hope this helps you out

Answer:

Y = 2x + 5

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

x=40

Step-by-step explanation:

Sum of all angles in a quadrilateral is 360. Subtract 80 from 360. Now you have 280. Now you have to add all the x values together to see that 7x=280. Then you must simplify by dividing 7 on both sides, resulting in x=40

Equation if you wanna work it out and solve:

360=80+7x

Answer:

what the other person said "The y-intercept is -2 and the slope is 5x."

Step-by-step explanation:

i had this question in middle school and i believe this was the answer

Answer: -10, 2

Step-by-step explanation:

To find the next two numbers, we first need to determine the pattern. We can see that the next number is the result of the previous number divided by -5. This tells us we need to divide 50 by -5 and that solution by -5 also.

50÷(-5)=-10

-10÷(-5)=2

Now, we know the next two numbers are -10 and 2.

Answer:

-10 and 2

Step-by-step explanation:

To find the next two numbers, you have to find what operation is being applied to the given numbers. If we look at the numbers, we can see that the absolute value is getting smaller, which means they are decreasing. However, they are decreasing at an even rate, meaning that the numbers are being divided rather than subtracted. So, let's find what number 1250 was divided by to equal -250:

1250/x = -250

Multiply both sides by x to isolate it:

1250 = -250x

Divide both sides by -250 to isolate x:

-5 = x

Each number in the pattern is divided by -5 to find the next number in the pattern. Now that we know this, we can find the next two numbers:

50/-5 = -10

-10 is one of the numbers.

-10/-5 = 2

2 is the other number.

Hope this helps :)

Answer:

1/ 5 and 2/3

cross multiple

example

1                2       =       10

/        x       /         =      /

5                 3                3

= 10/3

so it's 3 1/3 + 10 Mm

so may guess is

13.3333 infinite  or 13.34 M

Dont know if its right but good luck

.........................

Answer:

209

Step-by-step explanation:

If you meant to put a 1 before the 2 then it's 210

Step-by-step explanation:

Hey there!

The given points are;(0,8) and (6,7).

Note: Remember to use two point formula for finding the eqaution which has two points.

Or

You can find Slope through the slope formula and then use one point formula to find eqaution.

Now, let's use here two point formula.

The formula is;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Now, keep all values.

[tex](y - 8) = \frac{7 - 8}{6 - 0} ( x - 0) [/tex]

Simplify it.

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

[tex]y - 8 = - \frac{1}{6} x[/tex]

[tex]or \: \frac{1}{6} x + y - 8 = 0[/tex]

Therefore, the eqaution is; (1/6)X + y - 8 = 0.

Hope it helps....

Step-by-step explanation:

a....................................

Answer:

5 Hours

Step-by-step explanation:

165/11=$15 an hour

75/15=5 hours

Answer:

5 Hours

Step-by-step explanation:

First you have to find the unit rate which you would find by doing 165 divided by 11 which would equal 15 dollars per hour. Then you do 75 divided by 15 which is 5 meaning it would take 5 hours to make 75 dollars.

Answer:

- 22°F

Step-by-step explanation:

Given that :

Morning temperature = 15°F

Change in temperature = fall by 37 degree

The temperature of the end of the day:

Morning temperature + (change in temperature)

Fall by 37° = decrease in temperature by 37° = - 37°

15°F + (-37°F)

15°F - 37°F

= - 22°F

Answer:

The constant of proportionality is 20 dollars per hour as you can divide the pay by the number of hours worked and you will always get 20.

Step-by-step explanation:

Answer:

The compounded annually account will earn more interest over 10 years

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

The rule of the compounded interest is A = P[tex](1+\frac{r}{n})^{nt}[/tex], where

The interest I = A - P

∵ Each account start with $200

∴ P = 200

∵ They have an interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ One account earns simple interest and the other is compounded  

   annually

∴ n = 1 ⇒ compounded annually

∵ The time is 10 years

∴ t = 10

→ Substitute these values in the two rules above

∵ I = 200(0.05)(10)

∴ I = 100

∴ The simple interest = $100

∵ I = A - P

∵ A = 200[tex](1+\frac{0.05}{1})^{1(10)}[/tex]

∴ A = 325.7789254

∵ I = 325.7789254 - 200

∴ I = 125.7789254

∴ The compounded interest = $125.7789254

∵ The simple interest is $100

∵ The compounded interest is $125.7789254

∵ $125.7789254 > $100

∴ The compounded annually account will earn more interest

   over 10 years

Money invested by Musa and Akiola together in a buisness=$52,000

Profit earned by Musa =$5,000

Profit earned by Akiola=$8,000

Ratio of profit earned by Musa to the profit earned by Akiola:-

[tex] = 5000 : 8000[/tex]

Now, let us simplify the ratio of their profits:-

[tex] = 5000 : 8000[/tex]

[tex] = \frac{5000}{8000} [/tex]

[tex] = \frac{5000 \div 1000}{8000 \div 1000} [/tex]

[tex] = \frac{5}{8} [/tex]

[tex] = \bold{ 5 : 8}[/tex]

Thus, the ratio of profit earned by Musa to the profit earned by Akiola=5:8

The ratio of profit earned by Musa to the profit earned by Akiola=The ratio of money invested by Musa to the money invested by Akiola

The ratio of money invested by Musa to the money invested by Akiola=5:8

Money invested by Musa :-

[tex] = \frac{5}{5 + 8} \: \: of \: \: 52000[/tex]

[tex] = \frac{5}{13} \: \: of \: \: 52000[/tex]

[tex] = \frac{5}{13} \times 52000[/tex]

[tex] = \frac{5 \times 52000}{13} [/tex]

[tex] = \frac{260000}{13} [/tex]

[tex] = \bold{\$ \: 20,000}[/tex]

Thus, the money invested by Musa =$20,000

Money invested by Akiola:-

[tex] = \frac{8}{5 + 8} \: \: of \: \: 52000[/tex]

[tex] = \frac{8}{13} \: \: of \: \: 52000[/tex]

[tex] = \frac{8}{13} \times 52000[/tex]

[tex] = \frac{8 \times 52000}{13} [/tex]

[tex] = \frac{416000}{13} [/tex]

[tex] = \bold{ \$ \: 32,000}[/tex]

Thus, the money invested by Akiola =$32,000

As the sum of their investments add up to form $52,000 we can conclude that we have found out the correct amount of money each of them invested in the business.

Therefore, the money invested by Musa in the buisness =$20,000 and the money invested by Akiola in the buisness=$32,000