What is the equation of the line below?

Answers

Answer 1

Answer: Y = -2x + 1

Step-by-step explanation:

The line has a Y-Intercept of 1, shown as that's where the line passes the Y-Axis. The slope is negative 2, you can find such information by finding one point on a line, then making a triangle to the next point. In this case you would start at (0,1) and go right once (x axis) and down twice (y axis). The slope formula is y2-y1/x2-x1 or change in y/change in x, so if you put 2 (y axis) over 1 (x axis) you would have a slope of 2.

Related Questions

A shipping container is in the form of a right rectangular prism, with dimensions of 30 ft by 8 ft by 7 ft 3 in. If the container holds 1096 cubic feet of shipped goods, what percent is empty?

Answers

As per the volume of a rectangular prism, it is found that 34.76% of the container is empty.

Volume of a rectangular prism

The volume of the rectangle prism is calculated by multiplying the length, breadth and height of the prism.

The formula for the volume of rectangle prism is

V = l x w x h

where

l represents the length

w represents the width

h represents the height

Given,

A shipping container is in the form of a right rectangular prism, with dimensions of 30 ft by 8 ft by 7 ft 3 in.

Here we need to find if the container holds 1096 cubic feet of shipped goods, what percent is empty

According to the given question,

Let us consider the length is 30ft, Width is 8ft and Height is 7ft.

Here the value 3ft refers the depth.

That one is also multiplied with the volume.

Therefore, the volume of the container is

=> 8 x 7 x 30

=> 1680

Therefore, the volume of the container is 1680 cubic feet.

So, here we have to percentage of the empty space for that we have to find the difference of them and convert it into percentage,

=> 1680 - 1096

=> 584

The percent of empty space is,

=> x% of 1680 = 584

=> x% = 584/1680

=> x% = 0.3476

=> x = 34.76

Therefore, 34.76% of rectangular prism container is empty.

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3.123=9.369.1/3 is is true or false

Answers

This answer is false

The temperature of a day at the end of winter starts in the morning at -2 degrees Fahrenheit. The weather report notes that the temperature increases 10 degrees
by midday. At 5:00 pm, the temperature has doubled since midday. What was the temperature at 5:00 pm?

A 24 degrees

B16 degrees

C-16 degrees

D10 degrees

Answers

Answer:

B. 16 degrees

Step-by-step explanation:

First, we find temperature at miday:

- 2 (Temperature at morning) + 10 (Increase in temperature by midday) = 8 degrees (Temperature at midday)

Now, for temperature at 5:00 pm:

8 x 2 (At 5 pm temperature is double since midday) = 16 degrees (Temperature at 5:00 pm)

Answer:

B 16 degrees

Step-by-step explanation:

Find the temperature

We start at -2

We increase 10 degrees by noon

-2 + 10 = 8

at 5pm the temperature doubles

8*2 = 16

Sarah invests £400 at 3%
interest for 6 years
Circle the correct calculation to
work out how much she has now.

Answers

Answer: £900

Step-by-step explanation:

Keenan travels 14 miles per hour. How long does it take him to travel 70 miles? Your answer should be in hours, accurate to at least the
nearest tenth.

Answers

Answer: 5 Hours

Step-by-step explanation:

14 miles x 5 hours = 70miles in 5 hours.

Hope this helps!

jenny believes that spending one hour studying for economics will increase her grade by 20 points. studying for a second hour will increase her grade by 10 points. she also believes that studying for an hour for history will increase her grade by 15 points, but spending a second hour will increase her grade by only 5 points. jenny has two hours to study. if jenny wants to maximize her scores, what should she do?

Answers

If Jenny studies one hour both for economics and history she can gain 10+15=25 points

What is meant by Increasing?

Increasing: Growing larger or greater. Therefore, if the derivative of a function is positive, then the function is increasing. Let's consider our example of g(x) = x2. The derivative of g(x) = x2 is g'(x) = 2x. Since we are multiplying x by the positive number 2, it's easy to see that g ' is positive when x is positive and negative when x is negative.

Jenny will receive 15 points if she simply studies economics, which equates to 10 points in the first hour and 5 points in the second.

Jenny will earn 20 points if she exclusively studies history, which equates to 15 points in the first class and 5 points in the second.

Jenny should study economics for one hour, which will get her 10 points, and history for one hour, which will gain her 15 points, for a total of 25 points in the two hours

So we concluded that if Jenny studies one hour both for economics and history she can gain 10+15=25 points

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which measurements are equivalent to 3 yards

Answers

The equivalent measures to 3 yards are;

108 inches and ; 6 ft 36 inches

Here, we want to get the values of the measurements that are equivalent to 3 yards

To do this, we need to know how to convert between the various measure types

We proceed as follows;

Mathematically, 1 yard is 36 inches; also, 1 yard is 3 feet

So, 3 yards is (3*36) = 108 inches

Also, 3 yards is (3*3) = 9 feet

Also, 1 ft is 12 inches;

So, 6 ft 12 inches is 7 feet

108 inches is as seen above, so 3 yards equal this

3 yards is not 108 feet as calculated above

6 ft 36 inches

36 inches is 3 ft; so by addition; 6 ft 36 inches is 9 ft

So, the correct answers here are 108 inches and 6 ft 36 inches

PLEASE HELP ME I DON'T UNDERSTAND

Answers

Answer:

(0, 3)

Step-by-step explanation:

-x+2y=6
-x=6+2y
x=-6+2y

-6+2y+2y=6
-6+4y=6
4y=12
y=3

-x+2(3) = 6
-x+6=6
-x=0
x=0

Answer: 0, 3

Select the correct answer. Consider the function f(x) = 3x and the function g, which is shown below. How will the graph of g differ from the graph of f? A. The graph of g is the graph of f shifted 2 units up. B. The graph of g is the graph of f shifted 2 units to the left. C. The graph of g is the graph of f shifted 2 units to the right. D. The graph of g is the graph of f shifted 2 units down.

Answers

The graph of g will differ from the graph of f as the graph of g is the graph of f shifted 2 units to the right. Option C

This is further explained below.

What is a function?

A relation between a collection of inputs and one output for each of those inputs is the definition of a function.

A function is a connection between inputs in which each input is associated with precisely one output.

To put it another way, a function is a relationship between inputs. Each function has both a domain and a codomain or range that it operates inside.

Generally, The progression towards

g(x) = f(x -h) +k

depicts a translation with k units added on top and h units added to the right.

Since you have h equal to 0 and k equal to -2, this means that the graph is moved 0 units to the right and 2 units in the opposite direction of up.

The graph of g may be found by shifting f's graph down by two units.

Answers

Answer:

y = -1/3x -3.5

Step-by-step explanation:

line interesects y axis at -3.5, distance between dots is down 1 and forward 3

Given the function f(x) = 8x + 7, find each of the following. f(1), f(-9), f(0)

Answers

IN THE PLACE OF X YOU INSERT THE NUMBER GIVEN AS F(X<<<) AND SIMPLIFY .

[tex]f(1) = 8(1) + 7 \\ f(1) = 8+ 7 \\ f(1) = 15[/tex]

[tex]f( - 9) = 8( - 9) + 7 \\ f( - 9) = - 72 + 7 \\ f( - 9) = - 65[/tex]

[tex]f(0) = 8(0) + 7 \\ f(0) = 0 + 7 \\ f(0) = 7[/tex]

GOODLUCK !!

1/2 + 1/4= write as a fraction and as a decimal.

Answers

1/2 + 1/4 =

2/4 + 1/4 = = 3/4 = 0.75

Calvin has three alarm clocks which sound at different intervals. Clock A goes off every 10 minutes, clock B every 15 minutes, and clock C every 20 minutes.The three clocks sound together every _minutes.

Answers

Answer:

Given that,

Calvin has three alarm clocks which sound at different intervals.

Clock A goes off every 10 minutes

Clock B every 15 minutes

Clock C every 20 minutes.

To find: the three clocks sound together every _minutes

The three clock sounds together for every least common minutes of the 3 clocks (A,B,C)

To find LCM of 10,15,20.

we get,

LCM of 10,15,20 is 60

Therefore we get that,

The three clock sounds together for every 60 minutes.

Answer is:

The three clock sounds together for every 60 minutes.

PLEASE HELP!!!!!! It’s algebra

Answers

Answer:

Y=3X-4

Step-by-step explanation:

1. Find the slope using matching (x,y) values. (5,11) and (2,2) for example. (Change in Y)/(Change in X) [tex]\frac{11-2}{5-2}[/tex] = [tex]\frac{9}{3}[/tex] = 3

2. Use the point-slope form to find the equation. Pick a matching (x,y) value. (2,2) for example. and plug it in for Y₁ and X₁ in the equation Y-Y₁=M(X-X₁)

with M as the slope. Y-2=3(X-2).

3. Simplify

Y-2=3X-6

Y=3X-4

Which 3 measurements could be the dimensions of a right triangle?
(a² + b² = c²)

Answers

Answer:

5, 12, 13

Step-by-step explanation:

let a = 5 , b = 12 , c = 13 , then

5² + 12² = 25 + 144 = 169

13² = 169

so a² + b² = c²

Answer:

3, 4, 5

Step-by-step explanation:

In a right triangle, we have 2 legs and a hypotenuse. The hypotenuse equals c, while the other 2 legs are a and b.

Lets say a = 3, b = 4, and c = 5

The formula is a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Therefore, 3, 4, and 5 can be dimensions of a right triangle.

4y+3z=19
-x+z=27
x-3y=-19

Solve the system of equations

Answers

4
y
+
3
z
=
19
−
x
+
z
=
27
x
−
3
y
=
−
19
4
y
+
3
z
=
19
-
x
+
z
=
27
x
-
3
y
=
-
19
divide
4
y
+
3
z
=
19
−
x
+
z
=
27
x
−
3
y
=
−
19
4
y
+
3
z
=
19
-
x
+
z
=
27
x
-
3
y
=
-
19
by
2
2
.
4
y
+
3
z
=
19
−
x
+
z
=
7
x
−
3
y
=
−
19

Answer:

x = -262/13, y = -5/13, z = 89/13

Step-by-step explanation:

Solve the following system:

{3 z + 4 y = 19 | (equation 1)

z - x = 27 | (equation 2)

-3 y + x = -19 | (equation 3)

Swap equation 1 with equation 2: