10. Determine if the equation x - y = 1 defines y as a function of x.

10. Determine If The Equation X - Y = 1 Defines Y As A Function Of X.

Answers

Answer 1

Answer:

No.

Step-by-step explanation:

First solve for y:-

x - y^4 = 1

y^4 = x - 1

y = +/- (x - 1)^(1/4)

This is a one-to-many relation . For a given value of y there  2 values of x.

So this is NOT a function.


Related Questions


The diagram shows a triangular prism.
AB=12cm, BC=6cm, PC=4cm, angle BCP=90° and angle QDC=90°.
Calculate the angle between AP and the rectangular base ABCD.

Answers

the answer is Angle PAC=16°

Which of the following represents the equation of a line that is parallel to 2y-x=16 and passes through the
point (-6, 1)?

Answers

The correct equation would be Y=1/2x+4 :)

This is true because both equations have the same slope therefore they are parallel and the equation above also includes point (-6,1).

The equation of a line that is parallel to (2y - x = 16) and passes through the  point (-6, 1) is [tex](y - 1)=0.5(x+6)[/tex] and this can be determined by using the slope-intercept form of the line.

Given :

Line Equation -- 2y - x = 16Point  --  (-6,1)

First, convert the given line in slope-intercept form that is in the form of (y = mx + c).

2y = x + 16

[tex]y = \dfrac{1}{2}x +16[/tex]

Comparing the above equation with slope-intercept form.

m = 0.5

c = 16

The line parallel to the line (y = 0.5x + 16) means the slope of that line is also equal to 0.5.

The equation of the line whose slope is m and passing through the point [tex](x_1,y_1)[/tex] is given by:

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

Now, put the value of slope m and point [tex](x_1,y_1)[/tex] in the above equation.

[tex](y - 1)=0.5(x+6)[/tex]

So, the equation of a line that is parallel to (2y - x = 16) and passes through the  point (-6, 1) is [tex](y - 1)=0.5(x+6)[/tex].

For more information, refer to the link given below:

https://brainly.com/question/21835898

What is the equation of the line passing through the points (1, 5) and (0, -3)

Answers

Answer:

The equation of this line is y=8x-3, I hope this helps you! :D

Answer:

y = 8x - 3

Step-by-step explanation:

The point (0, -3) is the y-intercept. You can take this and calculate the slope using the other point. Then you can form the formula y = mx+b.

Which graph does not represent a function?

Answers

Answer:

the full circle one

Step-by-step explanation:

use the vertical line test. Hold up a pen on any given spot in the graph (the pen has to be vertical) and if it goes through the line in 2 or more different places its not a function

By vertical line test the elapse shape

5 hundred millions, 4 millions, 6 thousands, 2 tens
>
504,060,020 ?

Answers

Answer:

5 hundred millions, 4 millions, 6 thousands, 2 tens = 504,006,020

Step-by-step explanation:

504,060,020 > 5 hundred millions, 4 millions, 6 thousands, 2 tens

                                                                                      (504,006,020)

answer to me this question​

Answers

Step-by-step explanation:

[tex]3 \frac{1}{2} - 4 \frac{3}{4} = \frac{7}{2} - \frac{19}{4} = \frac{14}{4} - \frac{19}{4} = - \frac{5}{4} [/tex]

If the scale is 3cm to 8 km, what is 5 cm?

Answers

Answer:

Step-by-step explanation:

3 cm=8 km

1cm=8/3 km

5 cm=8/3×5=40/3 =13 1/3 km

Help please and hurry

Answers

Answer:ok here u go

Step-by-step explanation  the reason its no solutions is because there is no x and that makes the problem no solution

Can someone help me please ?

Answers

Answer:

-4[tex]y^{5}[/tex]

Step-by-step explanation:

-8[tex]y^{10}[/tex]/2[tex]y^{5}[/tex] = -8/2 * [tex]y^{10 - 5}[/tex]

               = -4[tex]y^{5}[/tex]

it won't let me answer all the word's all i can give is: 8/2 = -8/2 *

              = -4

HELPOOPPPOOPFOLFMTMR ME

Answers

Answer:

1.) 2y        2.) 14y

Step-by-step explanation:

are the linear expressions equivalent?

2x-3(1.3x-2.5)=5.9x+7.5

3-2(-2.6x+2.1)=5.2x-1.1
d​

Answers

Answer:

not equivalent expressions

Step-by-step explanation:

Expand and simplify both expressions

2x - 3(1.3x - 2.5) - 5.9x + 7.5 ← distribute parenthesis

= 2x - 3.9x + 7.5 - 5.9x + 7.5 ← collect like terms

= - 7.8x + 15

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

3 - 2(- 2.6x + 2.1) - 5.2x - 1.1 ← distribute parenthesis

= 3 + 5.2x - 4.2 - 5.2x - 1.1 ← collect like terms

=  - 2.3

Then the 2 expressions are not equivalent

Answer:

2x-3(1.3x-2.5)=5.9x+7.5

Equivalent Expression

3-2(-2.6x+2.1)=5.2x-1.1

Not Equivalent Expression

Step-by-step explanation:

Solving the first linear expression

2x-3(1.3x-2.5)=5.9x+7.52x-3.9x+7.5=5.9x+7.52x-3.9x-5.9x = 7.5-7.5-7.8x = 0x = 0/-7.8x = 0

Thus, we can say that it's an equivalent expression.

Now Solving the second linear expression

3-2(-2.6x+2.1)=5.2x-1.13+5.2x-4.2= 5.2x-1.15.2x-5.2x = -1.1-3+4.20 ≠ 0.1

Thus, we can say that it's not an equivalent expression.

HELP PLEASE HELP MEMEEE

Answers

Answer:

its 35 feet less

Step-by-step explanation:

but can u take another angled photo

please help me find " What does the rate of change indicate about the context?"

Answers

Answer:

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. ... Subtract one and multiply the resulting number by 100 to give it a percentage representation.

help pls
what is the slope intercept of (3,5) and (2,1)

Answers

M=1-5/2-3=-4/-1=4
M=4
(3,5)
5=2(3)+b
5=6+b
b=-1

The location of the vertex Q after the dilation is (-2,-2). What is the location of vertex M after the dilation?

Answers

The location of vertex M after the dilation by a factor of 1/4 is at (-4, 3)

Dilation is a way of moving an object from a point on a plane to another location.

From the diagram attached, the coordinate of the vertex Q is at (-8, -8).

If the vertex Q after the dilation is (-2,-2), this means that the original coordinate is dilated by a factor of 1/4.

The vertex of coordinate M from the diagram is (-16, 12). Dilating the coordinate using a scale factor of 1/4 will give;

M' = (-16/4, 12/4) = (-4, 3)

Hence the location of vertex M after the dilation is at (-4, 3)

Learn more here: https://brainly.com/question/22137320

The broccoli farmer notices that his pre-flowering crop is being attacked by caterpillars. He was advised to use a particular insecticide at the rate of 5 milliliters per gallon of water. The farmer finds that a 4 gallon can of water covers an area of 30m². The chemical in question comes in 1500ml bottles and costs $3,500.

FIND:
a) How many gallons of water would cover his 2.6-hectare area?

b) How many pesticides is needed to adequately spray the field?

c) What would be his total cost for whole bottles of insecticide needed?


pls help

Answers

Answer:

a) 3,467 gallons of water

b) 17,335 ml of insecticide = 12 bottles

c) $ 42,000

Step-by-step explanation:

1 gal. Water = 3785.412 ml

1 hectare = 10,000 m^2

2.6 hectare = 2.5 x 10.000 m^2 = 26,000 m^2

(a) 4 gal. water cover 30m^2

X gal water cover 26,000 m^2

(4 x 26,000)/30 = 3,467 gal of water

(b) 5 ml per 1 gal of water

X ml per 3,467 gal of water

(5 x 3,467) = 17,335 ml of insecticide

Bottle of insecticide = 1,500 ml of insecticide in each bottle.

17,335/1,500 = 12 bottles of insecticide

(c) 12 x $3,500 = $ 42,000

ABE is a triangle. Can you use the SSS Postulate or the SAS Postulate to prove ABC = AED

both apply

neither apply

by SSS only

by SAS only

Answers

Answer:

by SAS only

Step-by-step explanation:

Write the following algebraic expression for this sentence:
"The product of eight and a number squared decreased by 5."

Answers

Answer:

8n² - 5

Step-by-step explanation:

n = 'a number'

The expression is  8x² - 5.

what is expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6.

Given:

The product of eight and a number squared decreased by 5

let the number be x.

product of eight and a number squared

= 8x²

and decreased by 5

= 8x² - 5

hence, the expression is  8x² - 5.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

Evaluate the expression for y = 2. Simplify your answer.

4/y=

Answers

=2 all u have to do is divide 4 by 2

EMMA CHNAGED £500 INTO RAND BEFORE GOING ON HOLIDY TO SOUTH AFRICA THE RATE OF EXCHANGE AT THE TIME WAS £1=10-RAND.HOW MANY RAND DID HE GET FOR HIS £500?

Answers

Answer:

he got 5000 rands for it

Step-by-step explanation:

you multiply it

500 x 10 = 5000

Someone plz help me :(

Answers

Answer:

the answer is c :)

Step-by-step explanation:

Someone please help me with this problem! Will mark brainliest!

Answers

Answer:

I need a question, then I will help

Step-by-step explanation:

Where is the question at, I can help you with it easy.!

1. Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a. Show your work.​

Answers

Answer:

The answer is y=ax+9−2a i think

the sum of the measures of the angles of all triangles is 180 degrees.if one angle of the triangle measures 45 degrees,and other two angles are equal.what is the measure of the other two angles?

Answers

Answer:

67.5 degrees.

Step-by-step explanation:

Let the measure of two equal angles of the triangles is x.

Thus, the angles of the triangles are x, x and 45 degrees.

Answer:

67.5°

Step-by-step explanation:

Given:

All triangles is 180°

One Triangle measure 45°

2 Other Angles are equal

To Find:

Two Other Angles

Solution:

180°- 45° = 135°

135° ÷ 2 = 67.5°

Therefore the other two angles are 67.5°

In a church, the ratio of adults to children is 10 to 5. If there are 135 people in the church, how many children are there?

Answers

Answer:

45

Step-by-step explanation:

That means in every group of 15, there are 5 children

135 / 15 = 9. So Nine groups of 15. 9 x 5 = 45

Find the slope of (2 , -7 ) and ( -1 , 6 )


A. 4

B. -6

C. -1/6

D. 6

Answers

Answer:

-13/3

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - (-7) / -1 - 2

13 / -3

= -13/3

Hello !

Answer:

[tex] \boxed{\sf None \: of \: the \: options \text{:} \: \: m =- \dfrac{13}{3}} [/tex]

Step-by-step explanation:

The slope m of a line passing through two points can be calculated using the following formula:

[tex] \sf m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \\ [/tex]

Let (x₁ , y₁) = (2 , -7)

Let (x₂ , y₂) = (-1 , 6)

Substitute these values into our formula:

[tex] \sf m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{6 - (-7) }{-1 - 2 } = \dfrac{13}{-3}\\ \\ \implies \boxed{\sf m = -\dfrac{13}{3}} [/tex]

Have a nice day ;)

A line has a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line ?

Answers

Answer:

y = -2/3x + 6

Step-by-step explanation:

replace the coordinates in the equation

y= mx + c

y= 8

x= -3

8= -2/3 (-3) + c

c + 2 = 8

c = 8 - 2

c = 6

y= -2/3x + 6

PLEASE SOMEONE JUST Please ANSWER THIS THIS IS DUE IN 10 MINUTES HURRY!!!
What is the slope of the graph?

Answers

2

Step-by-step explanation:

rise/run = 4/2 = 2

Answer: The slope is 2.

Step-by-step explanation:

Hope this helps!!!!

Solve for x: 16 = x + 32

Answers

Answer:

-16

Step-by-step explanation:

Use everyone's favourite thing: ALGEBRA!!!

16=x+32

16-32=x

-16=x

Hope that helps

Step-by-step explanation:

16=x+32

16-x=32

-x=32-16

-x=16

X=-16

5. The length of a red rectangle is 12 cm more than its width, w. A blue
rectangle, which is 4 cm wider and 2 cm shorter than the red one, has
perimeter 72 cm. Make a sketch of the rectangles expressing all dimensions in
terms of w. Then find the dimensions of the red rectangle.

Answers

Answer:

For the red triangle the width is 9 cm and the length is 24 cm. For the blue triangle, the width is 14 cm and the length is 22 cm.

Step-by-step explanation:

Red triangle: width is 9 cm, length is 24 cm, blue one width is 14 cm and the length is 22 cm. hope this helps. did this quickly! <3

Answer:

Step 1. Perimeter P means adding up all 4 sides of a rectangle.

Step 2. Let w be the width of the red rectangle

Step 3. Let w+15 be the length of the red rectangle

Step 4. Let w+5 be the width of the blue rectangle

Step 5. Let w+15-2=w+13 be the length of the blue rectangle

Step 6. Then for the blue rectangle, P=w+5+w+5+w+13+w+13=4w+36=72

Step 7. Solving 4w+36=72  

Subtract 36 from both sides of the equation

4w=36

Divide by 4 to both sides of the equation

ANSWER: For the red triangle the width is 9 cm and the length is 24 cm. For the blue triangle, the width is 14 cm and the length is 22 cm.

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