a point moves so that it's y-coordinate is always 2 less than it's x-coordinate.
1) write an equation for it's path
2)where does it cross the x-axis
3) where does it cross the y-axis
4) what is it's slope

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1:  

m = 0.125, b = - 3  

y = (1/8)x + (-3)

y = 0.125x - 3

(Graph is attached)

Answer:

Step-By-Step explanation:

Formula for any straight line is

y = mx + c

where m = slope, c = constant

Given: y = -3, m = 1/8

Substitute into formula

(y - intercept occurs when x = 0)

-3 = 1/8(0) + c

-3 = 0 + c

c = -3

y = 1/8x - 3

[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]

so ,

[tex]new \: selling \: price = 150 + \frac{26}{100} \times 150 \\ = > 150 + 39 \\ = > 189 \: rs[/tex]

hσpє hєlpful~

Based on the information given the selling price of the pen set is $189.

Using this formula

Selling price=Selling price of pen+(Profit percentage× Selling price of pen)

Let plug in the formula

Selling Price=$150 +( 26% ×$150)

Selling Price=$150 +$39

Selling Price=$189

Inconclusion  the selling price of the pen set is $189.

Learn more about selling price here:https://brainly.com/question/1153322

Answer:

x [tex]\leq[/tex] -3

Step-by-step explanation:

Make common denominators

[tex]\frac{2x}{6}[/tex] - [tex]\frac{3x-3}{6}[/tex][tex]\geq[/tex][tex]\frac{6}{6}[/tex]

Use the numerators only

2x - (3x - 3) [tex]\geq[/tex] 6

Distribute

2x - 3x + 3 [tex]\geq[/tex] 6

-x + 3 [tex]\geq[/tex] 6

Subtract 3 from both sides

-x [tex]\geq[/tex] 3

x [tex]\leq[/tex] -3

Answer:

135

Step-by-step explanation:

bc its the right answer

Answer:

the answer is 138.57 so ur answer would be 135

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

-2 lies in the second range that begins with -2 and ends with 8

Answer: 65£40625

Step-by-step explanation:

We know that there are already 150L of oil in the tank. So if we want to fill the tank, we need to add 1250L to fill the rest of the tank. The price of 1L of oil is 80.5p, which can be represented as [tex]\frac{80.5p}{L}[/tex]. If we want to know the price of the remaining 1250L, then we can multiply the denominator by 1250 because that way we can find the cost in p of 1250L. Now if you want to keep the ratio of the original equation to the cost of 1250L equal (or just keeping both expressions equal), then we also have to multiply the numerator by 1250. So, we then get [tex]\frac{(1250)(80.5p)}{(1250)(L)}[/tex]=[tex]\frac{100625p}{1250L}[/tex]. So the cost of 1250L is 100625p.

Now, applying the discount. To apply a discount x to some value y:

x - xy, where x = original value, y = discount.

So, substituting the original value of 100625p for x and the discount 6.5% = 0.065 for y, we get: (100625) - [(100625)(0.065)]. The question, however, doesn't ask for the discounted price, but rather the discount itself, or how much money you save. The expression xy gives us just that.

So, (100625)(0.065) gets us to to 6540.625p = 65£40625.

The First step to this problem is to find how much oil He needs.

In order to do that, we have to subtract 1400 L by 150 L

1400-150=1250

The second step to this problem is to calculate the total price (p) of the Oil that is needed

In order to do that, we have to find the price of the oil per liter which is 80.5p

Take out the P so it won't be hard

80.5x1250=100625p

The third step to this question is to Multiply the number: 100625 by 6.5/100. Given the fact that we convert 6.5% to Fraction

100635x6.5/100= 6541.275p

So, the answer is  6541.275

I hope this helps, if it's wrong plz blame me

Have a nice day (:

Answer:

  (b)

Step-by-step explanation:

The hundredths place is immediately to the left of the thousandths place. In our base-10 number system, moving a digit to the left one place increases its value by a factor of 10.

The value of 7 in the hundredths place is 10 times the value of 7 in the thousandths place.

Answer:

The value of the 7 in the hundredth place is 10 times​ the value of the 7 in the thousandth place.

Step-by-step explanation:

Answer:

Angle E is 88º

Step-by-step explanation:

If angle A is 46, then angle B is 46. Angle C in triangle ABC then has to be 88. Because of this, angle C in triangle CDE has to be 88 as well. Hence, E is 88.

Answer:

12

Step-by-step explanation:

You need the GCF of 48 and 60

48 = 2 x 2 x 2 x 2 x 3

60 = 2 x 2 x 3 x 5

Both have 2 x 2 x 3, so the answer is 12

Answer: The distance around the edge of a circle

Step-by-step explanation:

Answer:

B.-4

Step-by-step explanation:

Hope it help!!!!!!

Answer:

1/25

Step-by-step explanation:

Convert to a fraction by placing the expression over  100 .

Answer : 4/100 and / or 1/25

Step-by-step explanation:

when converting percentages to fractions its always out of 100

for example, if the percentage is 4% then its 4/100

Answer:

Step-by-step explanation:

The total number of tickets is the sum of the number of adult tickets and the number of kid tickets.

  Total tickets, 2 adult tickets and 16 kids tickets: 2 +16 = 18

  Total tickets, a adult tickets and k kids tickets: a +k

_____

Additional comment

The total price is a different matter:

  $12(2) +$7(16) = $136 . . . for 2 adult and 16 kids

  12a +7k . . . for 'a' adults and 'k' kids

Answer: minimum: free

maximum: infinite

Answer:

Step-by-step explanation:

We know that the form of line passing through point (x₀ , y₀) and having slope m is :

 y - y₀ = m(x - x₀)

Here the line passes through the point (5 , -3)

⇒ x₀ = -2 and y₀ = -5

Given : Slope(m) = -8

Substituting all the values in the standard form, We get :

Equation of the line : y + 3 = -8(x - 5)

Answer:

hope it helps you..........

Answer:

This is the answer

x=π/10

Answer:

y=2x-4

Step-by-step explanation:

f(x)=1/2x+2

y=1/2x+2

-----------------

x=1/2y+2

1/2y=x-2

y=2(x-2)

y=2x-4

Answer:

-23.33

Step-by-step explanation:

C = 5/9 (F - 32)

C = 5/9 (-10 - 32)

C = 5/9 (-42)

C = -23.33

Answer:

34%

Step-by-step explanation:

3+3+3+3+3+3+3+35%

Answer:

105 grams

Step-by-step explanation:

385/11=35

35 times 3 is 105 grams

Answer:

35 grams

Step-by-step explanation:

3/11= x/385

11x= 385

x= 385/11

= 35 grams

Answer:

Step-by-step explanation:

A/5=50

take 5 to other side

the number in division came in multiplication after changing it's side. that's why,

A=50×5

A=250

The range of possible values for the variable is x < 12

From the given figure, we can see that the side facing angle 30 degrees, is greater than the side facing angle 3x -6. Therefore the inequality expression is true based on the figure.

30 > 3x - 6

Swap sides

3x - 6 < 30

Add 6 to both sides

3x - 6 + 6 < 30 + 6

3x < 36

Divide both sides by 3

3x/3 < 36/3

x < 12

Hence the range of possible values for the variable is x < 12

Learn more on inequality expression here: https://brainly.com/question/24372553

Answer:

do it got a picture

on the edge

Step-by-step explanation:

Answer

Area of the rug is 64 in^2

Answer:

676 cm²

Step-by-step explanation:

A square has 4 congruent sides , then

104 ÷ 4 = 26 cm ← length of side of square s

The area (A) of a square is calculated as

A = s² = 26² = 676 cm²

Answer:

-4

Step-by-step explanation:

Slope formula:

m=y2-y1/x2-x1

I will use (-1,10) and (1,2)

2-10/1-(-1)

Which is

-8/2

Divide:

-4

Thus the slope is -4

Hope this helps!