please help me it’s urgent

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].

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

Answer:

I dont know if anyone can answer kinda doesn't make sense

Answer:

i think 89

Step-by-step explanation:

Answer:

m∠6 = 117º

m∠7 = 63º

Step-by-step explanation:

m∠3 = m∠7 = 63º(corresponding angles)

180º - m∠3 = m∠6 = 117º (same side interior angles are supplementary)

or

180º-m∠7 = m∠6 = 117º (linear pair)

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

Answer:

the answer is B.

Step-by-step explanation: i done the test have a nice day :))))

Answer:

integer

Step-by-step explanation:

Answer:

ŷ = -0.18363X + 19.71681

-0.9685

Step-by-step explanation:

Given the data:

Mileage, x: 22 14 18 30 8 24

Price, y: 16 17 17 14 18 15

Using the online regression calculator :

The regression equation obtained is :

ŷ = -0.18363X + 19.71681

Where ;

y = predicted variable

- 0.18363 = slope or gradient

X = predictor variable

19.71681 = intercept

The correlation Coefficient R = -0.9685

This signifies a strong negative relationship between the x and y variable.

The line of best fit has an equation of:

y = -0.1875x + 19.625

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the mileages (in thousands of miles) and y the selling prices(in thousands of dollars) of used automobiles.

Plotting the points using geogebra graphing calculator, the line of best fit has an equation of:

y = -0.1875x + 19.625

Therefore the slope is -0.1875 and the y intercept is 19.625

Find out more at: https://brainly.com/question/11324911

Answer:

6.45 × 10³

Step-by-step explanation:

4.5 × 10² + 6 × 10³ = 0.45 × 10³ + 6 × 10³ = (0.45 + 6) × 10³ = 6.45 × 10³

Answer:

450 and 6000

Step-by-step explanation:

4.5 × 10²

4.5 × 100

450

6 × 10³

6 × 1000

6000

Answer:

Keiko 12 +  Juan 51 + Tony 17 = $80

Step-by-step explanation:

K + J + T = 80

K=T-5

J=3T

T=T

T-5 + 3T + T = 80

5T -5 = 80  -->  5T = 85 --> T = 17

now that u know T=17, substitute the value of T to find K and J

K=(17)-5 = $12

J=3(17) = $51

T= $17

Answer:

26 because 30-4=26

Step-by-step explanation:

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:

- 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:

Step-by-step explanation:

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....

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:

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

sorryStep-by-step explanation:

Answer: 24

Step-by-step explanation:

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:

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:

3.077 km/hr (though your question did not specify where to round to)

Step-by-step explanation:

10km/ 3.25 hr

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  

Step-by-step explanation:

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

Answer:

x ≤ -9

Step-by-step explanation:

x-3 ≤ -12

x ≤ -12+3 (Isolate x)  

x ≤ -9

What's the question???

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:

11.1803399

Step-by-step explanation:

By Pythagoras Theorem

[tex] \sqrt{hight {}^{2} + base {}^{2} } [/tex]

[tex] \sqrt{100 + 25} [/tex]

[tex] \sqrt{125} [/tex]

[tex] = = > 11.1803399[/tex]

Answer By,

Zeeshan Khan

Answer:

I think 15

Step-by-step explanation: