What is the equation in slope-intercept from of the line that passes through the points (4, 2) and (1, -7)? ​

Answer:

[tex]R = 1.714\times 10^{6}\\[/tex]

Step-by-step explanation:

Give the expression [tex]R = \frac{x^2}{y}[/tex]

Given

[tex]x = 4.8 \times 10^5\\y = 2.8 \times 10^4[/tex]

[tex]R = \frac{(4.8\times 10^5)^2}{2.8\times10^4}\\R = \frac{4.8\times 10^{10}}{2.8\times10^4}\\R = \frac{4.8}{2.8} \times 10^{10-4}\\ R = \frac{4.8}{2.8} \times 10^{6}\\R = 1.714\times 10^{6}\\[/tex]

Hence the value of R is [tex]R = 1.714\times 10^{6}\\[/tex]

Answer:

try 3/26

Step-by-step explanation:

Answer:

y=25x+180

Step-by-step explanation:

Answer:

26,106

Step-by-step explanation:

Answer:

The change was 4 and part b is 162

Step-by-step explanation:

Answer 1: 4 dollars

Answer 2: Total club size 162

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Answer 1:

No. of shares = 5

Total value down by = 20

share value of each stock goes down by = 20/5 = 4

Answer 2:

each week 9 new members added

Total weeks = 18

Total members at the end of 18 week = 18*9 = 162

therefore, total club size = 162

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Answer:

50° = 3x + 1, and x ≅ [tex]16.3^{o}[/tex]

Step-by-step explanation:

An angle bisector divides a given angle into two equal part in degrees.

Now, given that we have <ABC which has been bisected into two angles 50° and 3x + 1.

Since the two angles are equal, then;

50° = 3x + 1   (bisection property of an angle)

So that,

50° - 1 = 3x

49 = 3x

Divide both sides by 3, to have;

x = [tex]\frac{49}{3}[/tex]

  = [tex]16.3^{o}[/tex]

Therefore, the value of x is approximately [tex]16.3^{o}[/tex].

Step-by-step explanation:

Disagree.

If each shirt is originally x dollars, then the new price is 0.8x.  So the total cost is 1.6x, down from the original 2x.

So the discount is (2x − 1.6x) / 2x × 100% = 20%.

Answer:

The shape is Rectangle

Answer:

I think its 7 inches

and 3 inches

Step-by-step explanation:

Answer: greater than

Step-by-step explanation:

0.1>0.09

Answer:

It is greater

Step-by-step explanation:

1/10 is equivalent to 0.1

Answer:

There will be 5 jump ropes and 7 feet left over

Step-by-step explanation:

62-11-11-11-11-11-11

Answer:

y = -1/3 x + 7

y = -1/3 x + 6

y = -1/3 x + 4

Step-by-step explanation:

All of these are parallel to the line created on the graph

Answer:

y = -1/3 x + 7

y = -1/3 x + 6

y = -1/3 x + 4

(please tell me if I'm wrong or if I missed something)

Answer:

Answer choice A. Slope -1

Step-by-step explanation:

If we plot the two points on a graph we can see that the points go from left to right, starting from a higher point to a lower point. This means the slope is negative. B and D are the same choice, but just in different words, and 0 cannot be positive or negative. and C is positive, not negative. So it is A. I hope this helps, and I hope it's not wrong, but I don't think it is.

Answer:

32.3113

Step-by-step explanation:

Answer:

(THE SPACES ARE THE FRACTIONS)

Step-by-step explanation:

Hence it is a simply rearrangement of the equation to start with, in order to make  

y

the subject:

2

x

+

3

y

=

1470

3

y

=

1470

−

2

x

y

=

1470

3

−

2

3

x

y

=

490

−

2

3

x

This is the graph in ’slope-intercept’ form. From here it is easy to see that gradient  =  

−

2

3

and that y-intercept = 490.

The easiest way to draw a straight-line graph, such as this one, is to plot the y-intercept, in this case (0, 490), then plot another point either side of it at a fair distance (for example substitute  

x

= -5 and  

x

= 5 to procure two more sets of co-ordinates). These can be joined up with a straight line to form a section of the graph, which would otherwise extend infinitely either side - use the specified range in the question for x-values, and do not exceed it (clearly here the limit of  

x

-values is 0 ≤ x ≤ 735, since neither x nor y can be negative within the context of the question - the upper limit was found by substituting  

y

= 0).

In function notation, the graph is:

f

(

x

)

=

490

−

2

3

x

The graph of this function represents how the value of the function varies as the value of x varies. Looking back at the question context, this graph specifically represents how many wraps could have been sold at each number of sandwich sales, in order to maintain the same profit of $1470.

When the profit is higher, the gradient is not changed (this is defined by the relationship between the $2 and $3 prices, not the overall profit) - instead the  

y

-intercept is higher:

2

x

+

3

y

=

1593

3

y

=

1593

−

2

x

y

=

1593

3

−

2

3

x

y

=

531

−

2

3

x

Therefore we have gleaned that the new y-intercept is 531.

Clearly I cannot see the third straight line. However the method for finding the equation of a straight line graph is fairly simple:

1. Select two points on the line and write down their coordinates

2. The gradient of the line =  

c

h

a

n

g

e

−

i

n

−

y

c

h

a

n

g

e

−

i

n

−

x

3. Find the change in  

y

(Δ

y

=

y

2

−

y

1

4. Find the change in  

x

(Δ

x

=

x

2

−

x

1

5. Divide the result of stage 3 by the result of stage 4

6. This is your gradient

7. Take one of your sets of coordinates, and arrange them in the form  

y

=

m

x

+

c

, where your  

m

is the gradient you just calculated

8. There is only one variable left, which is  

c

(the y-intercept). Simply solve for this

9. Now generalise the equation, in the form  

y

=

m

x

+

c

, by inputting your gradient and y-intercept whilst leaving the coordinates as  

y

and  

x

For example if the two points were (1, 9) and (4, 6):

Δ

y

= 6 - 9 = -3

Δ

x

= 4 - 1 = 3

m

=  

−

3

3

= -1

I choose the point (4, 6)

6 = (-1 * 4) + c

6 = c - 4

c = 10

Therefore, generally,  

y

=

10

−

x

Within the context of the question, I imagine the prices of the two lunch specials will be the same in the third month and hence the gradient will still be  

−

2

3

- this means steps 1-6 can be omitted. Furthermore if the axes are clearly labelled, you may even be able to just read off the y-intercept and hence dispose with steps 1-8!

Answer:

6.95 gallon/month

Step-by-step explanation:

you have to divide

Answer:

x = -9

Step-by-step explanation:

given:

[tex]f(x) = - x - 5[/tex]

solve for x, when:

[tex]f(x) = 4[/tex]

◇◇•◇◇

[tex] - x - 5 = 4[/tex]

[tex] - x = 4 + 5[/tex]

[tex] - x = 9[/tex]

[tex]\boxed{\green{x = - 9}}[/tex]

Answer:

2.1

Step-by-step explanation:

18.90 divided by 9=2.1

Answer:

D.5n-9=11 Solution: n=4

Step-by-step explanation:

5n-9=11

   +9  +9 add nine on both sides

5n= 20

divide 5 on both sides to get n by itself

n= 4

Answer:

140

Step-by-step explanation:

[tex]100 + 40 = 140[/tex]

Answer: 140m

Step-by-step explanation:

1. Add 40 Meters (m) to 100 meters

40 + 100 = 140

140 Meters is your answer.

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

To find how many hours she worked multiply 80%, also written as 0.80, by 20

80% of 20 is 16

Answer:

7:30 a.m

Step-by-step explanation:

Number of miles from house to school(d) = 15 miles

Speed limit (s) = 30 mph

t1 = time to be in school is at most 8:00a.m

t0 = time to leave house

Given the model. :

15 = 30(8 - t2)

15 = 240 - 30t2

30t2 = 240 - 15

30t2 = 225

Divide through by 30

30t2 / 30 = 225/30

t2 = 7.5

Hence, I need to leave home by 7.5 (.5 in minutes = 0. 5*60 = 30 minutes)

Hence, t0 = 7:30,; I need to leave home by 7:30 a.m

Answer:

285

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

use keep change flip

keep -3 change the division sign to multiplication sign then flip -1/4 to -4/1

(-3)(-4)=12

pls mark as brainliest, thank u have a great day.

Answer:

y=2x+4

Step-by-step explanation:

y=2x+2

Gradient = 2

Gradient of the line passing through point (1,6)

= 2

i.e it is parallel to line y=2x+2.

Equation of the line is given as:

y - 6 = 2(x - 1)

y - 6 = 2x -2

y = 2x -2 + 6

y = 2x + 4

Answer:

1760 sq ft

Step-by-step explanation:

800=2.5x

x=320

5.5×320

1760

Answer:

11 miles a day

Step-by-step explanation: 80 - 25 / 5

Answer:

1017.88

Step-by-step explanation:

The volume of a cone is V=1/3hπr²

First, we are going to do exponents: what is 9*9? 81. So now our equation is V= 1/3h * 3.14 * 81 (Pi is 3.14, so we filled that in too.)

Now we need to find 1/3 of our height, or 1/3 * 12, which is 4. Our equation is now V= 4 * 3.14 * 81

Solve and you get 1017.88

I hope this helped, please mark Brainliest, thank you!

The mixed number can be written as an improper fraction of 44/5 after simplifying the answer is 44/5.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The mixed number is 8  4/5

To write the mixed number as an improper fraction:

= 8 + 4/5

Take LCM as 5

LCM can be defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

= (8x5 + 4)/5

= (40 + 4)/5

= 44/5

Thus, the mixed number can be written as an improper fraction of 44/5 after simplifying the answer is 44/5.

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