Determine which equation represents a function.
A. y = -2x + 1
B. x=4
C. x=y²-1
D. y²-x​

Answers

Answer 1

The equation that represents a function is (A) y = -2x + 1.

A Function is defined as an equation for which any "x" we substitute in the equation will give only one output such as "y"

it is denoted by y=f(x).

In the given question

Option (A)

y=-2x+1

Yes the given equation is a function ,

because when we substitute a value in x ( let x=2) it gives only a single output (y=-3).

Hence , y=-2x+1 is a function .

Option (B)

x=4

No, it is not a function as ,

x=4 is a vertical line parallel to y axis ,

we know that for a function every value of x will have exactly one y .

For x=4 , y can 0 , -9 , 6 .

Hence , x=4 is not a function.

Option (C)

x=y²-1

No.  it is not a function ,

we know that for a function every value of x will have exactly one y .

For x=0 , y=+1,-1  .

Hence , x=y²-1 is not a function .

Option (D)

y²-x​

No , it is not a function

As y²-x​ do not have an equal to sign "=" , it cannot be considered as an equation.

Hence , y²-x​ is not a function .

Therefore , Only y = -2x + 1 represents a function , the correct option is (A) y = -2x + 1

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Related Questions

PLEASEEEE HELP , True or False?

7.The altitude and median drawn from the vertex of an isosceles triangle are the same line.

8. The altitude and median drawn from the base angle of an isosceles triangle are the same line.

9. The median of a triangle may be side of the triangle.

10. An altitude of a triangle may be a side of the triangle.

11. A point on the⊥ bisector of a segment is equidistant from the endpoints of the segment.

12.The line y = x and y = - x are perpendicular.

Answers

true

false

false

true

false

true

Answer:

g

Step-by-step explanation:

Please show work(15 points)
a map of Connecticut is drawn to a scale where 2 inches on the map represents 35 miles. if Greenwich and Stonington are 105 miles from each other how far apart do they appear on the map

Answers

Answer: 6 inches

Step-by-step explanation:

2 inches = 35 miles, so, 105 divided by 35 which is three, then 3 x 2  = 6

you're welcome

Adding 8 groups of (-4) is the same as dividing 8 and (-4)​

Answers

Answer:

No

Step-by-step explanation:

Adding 8 groups of (-4) = -32

Dividing 8 and (-4)​ = -2

-2 doesn't equal -32

hope this helps, pls mark brainliest :D

Answer:

That statement is false

Step-by-step explanation:

-9/-3 plz help I’m really confused

Answers

Answer:

The answer is 3.

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Y=2x+ 5
Y=5x+3
Y=2/3x+-9
Y=-5/4x
Y=-x+3
Y=x-9
Identify the slope for each one

Answers

Answer:

The slope is the number with the varible next to it.

Step-by-step explanation:

1. 2x

2. 5x

3. 2/3x

4. x

5. x

2(1 - 5k) = 2k + 38
HURRY I NEED THIS ANSWER FAST

Answers

Answer:

hope this helps

Step-by-step explanation:

PLEASE HELP!
At a local fair, the admission fees are $1.50 for children, $3 for college students, and $5 for adults.


On Saturday, 1500 tickets were sold and brought in $5500.

The number of college student tickets sold was 100 less than the number of children's tickets sold.

How many children's tickets were sold?

Answers

Answer:

Children's' Tickets Sold: 400

College Tickets Sold: 300

Adult Tickets Sold: 800

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Pre-Calculus

MatricesReduced Row Echelon Form (RREF)

Step-by-step explanation:

Step 1: Define Variables

x = children tickets

y = college tickets

z = adult tickets

Step 2: Define Systems

Use the given information to set up the equations.

x + y + z = 1500

1.5x + 3y + 5z = 5500

y = x - 100

Step 3: Redefine Systems

x + y + z = 1500

1.5x + 3y + 5z = 5500

-x + y = -100

Step 4: Solve for x

Rewrite [Matrix]:                    [tex]\left[\begin{array}{ccc}1&1&1 | 1500\\1.5&3&5 | 5500\\-1&1&0 | -100\end{array}\right][/tex][Matrix] RREF:                        [tex]\left[\begin{array}{ccc}1&0&0 | 400\\0&1&0 | 300\\0&0&1 | 800\end{array}\right][/tex]

Here we see that our x = 400, y = 300, and z = 800. Correspond this with our defined variables and we have our answer.

Which definition represents positive numbers and negative numbers in terms of positive numbers?
Positive numbers are greater than zero. Negative numbers are less than or equal to zero.
B
Positive numbers are greater than or equal to zero. Negative numbers are less than zero.
С
Positive numbers are greater than zero. For every positive number, there is a negative number that is its opposite.
D
Positive numbers are greater than or equal to zero. For every positive number, there is a negative number that is its opposite.

Answers

Answer:

D: Positive numbers are greater than or equal to zero. For every positive number, there is a negative number that is its opposite.

Step-by-step explanation:

Esme wants to make a rectangular pen for her chickens. She has 140 feet of fencing available to use. She wants to put the pen against the side of her barn. In other words, one side of the pen does not need fencing. Determine the maximum possible area she can create.

Answers

Answer:

2450 square feet

Step-by-step explanation:

We can first draw a rectangle with one side labeled Esme's wall. Then on one of the sides perpendicular to the "wall", we can assign a variable "x" for its length. The opposite of that side must have the same length "x". The unlabeled side that is opposite to the wall must have a length of "140-2x" because only 140 feet of fencing is available.

The area of a rectangle is equal to its length times its width, so the area of Esme's pen must equal "x" times "140-2x". If we graph this on a graphing calculator, we get a concave-down parabola. Since the input (x-axis) of this graph is the length of "x" and the output (y-axis) is the area Esme's pen, the highest y-value (which is the y-value of the vertex) will be the highest area that she can create. The vertex of this graph is (35, 2450), so the maximum area is 2450 square feet.

The non-calculator method involves expanding the expression "x(140-2x)" and finding the vertex through converting the expression to vertex form. (but... I'm too lazy to write out the vertex form for this expression so sorry no work here)

what is the solution of -3x + 7 = -2 ?

Answers

Answer:

X= -3

Step-by-step explanation:

Subtract 7 from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

Help Please today

Using the graph of f(x) and g(x), where g(x) = f(kx), determine the value of k.

A. -2

B. -1/2

C. 1/2

D. 2

Answers

Answer:

the answer is b, you welcome

Step-by-step explanation:

What are the constants in the following expression: -x9 + 5x2 -8 + 3x -4

Answers

Answer:

Constants: -8, -4

Step-by-step explanation:

Can anyone help me with this?

Answers

Answer:

around 12.08

Step-by-step explanation:

to do this, you need to do sine cosine tangent. Make sure your calculator is in degrees, not radians. Since the only other side given is the hypotenuse, 16, and y is adjacent to the angle, you use cosine (adjacent/hypotenuse). You do cos(41) and multiply it by 16 to get 12.08

Answer:

12.1

Step-by-step explanation:

41 + x = 90

x= 49

Sine rule:

Sin90 = Sin49

  16           y

y= 16sin49

y is approx. 12.1

(23q – 34) and (–16q – r)

Answers

Answer:

=−368q2−23qr+544q+34r

Step-by-step explanation:

I WILL MARK AS BRAINLIEST PLEASE ANSWER FAST

Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?


2 y + x = 5. 5 x minus y = 3.

2 x + y = 5. 5 y minus x = 3.

2 y + x = 5. y minus 5 x = 3.

2 x + y = 5. x minus 5 y = 3.

Answers

It would be 89 Bc u multiples it all up

Answer:

the answer is A

Step-by-step explanation:

i got the answer right

Find the 10th term of the following sequence:

5, 10, 20, 40, 80

Answers

Answer: 5120

Step-by-step explanation:

You amplify 80 by 2, then 160 by 2 and so on

An=a1*(q^n-1); a1=5; q=a2/a1=10/5=2;
A10=5*(2^10-1)—> A10=5*2^9=5*512= 2560

1+5= what does this equal

Answers

Answer:

1+5=6

Step-by-step explanation:

Can someone plz help me

Answers

Answer:

Step-by-step explanation:

because the two lines are not unique.. in other words they lay on top of each other.. they have many solutions and we can't determine price  .. so answer C

if 4% of packages get lost in the mail the which decimal represents the amount of packages lost in the mail

Answers

Answer:

40

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

4% = 0.04

Examine the work shown. Explain the error and find the correct result.

2(4 – 16) – (–30)
2(–12) – (–30)
24 – (–30)
54

Answers

Answer:

= 6

Step-by-step explanation:

in the third step, they did 2 x -12 and got 24. It should’ve been -24 since it was a positive times a negative. It shouldve been

-24 - (-30)

-24 + 30

= 6

Answer:

yo wassup

Step-by-step explanation:

The product of two numbers with different signs is negative, so 2(-12) = -24, not 24. Then -24 — (-30) = -24 + 30 = 6.

sample response on edge

see ya

Find the probability P(z < 0.37) using the standard normal distribution.

Answers

Answer:

0.6443

Step-by-step explanation:

Given the that:

P(Z < 0.37) ; using a standard normal distribution :

The probability can be obtained using several methods :

Using a standard normal distribution table ;

P(Z < 0.37) = obtain the value at the intersection where 0.3 is on the vertical axis and 0.07 on the horizontal axis of the Z distribution table

Hence,

P(Z < 0.37) = 0.6443

Today, Nate has 100100100 bananas. He will eat 222 of them every day.

Answers

Answer:

what is your question

Step-by-step explanation:

Step-by-step explanation:

Your Question is not complete, please resend and recheck

Multiply and Simplify
√45 x √96

Answers

Answer:

[tex]12\sqrt{30}[/tex]

Step-by-step explanation:

Given:

[tex]\sqrt{45} \times \sqrt{96}[/tex]

Rewrite 45 as 9 · 5 and 96 as 16 · 6:

[tex]\implies \sqrt{9 \cdot 5} \times \sqrt{16 \cdot 6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\implies \sqrt{9}\sqrt{5} \times \sqrt{16}\sqrt{6}[/tex]

Rewrite 9 as 3² and 16 as 4²:

[tex]\implies \sqrt{3^2}\sqrt{5} \times \sqrt{4^2}\sqrt{6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0[/tex]

[tex]\implies 3\sqrt{5} \times 4\sqrt{6}[/tex]

Multiply 3 and 4:

[tex]\implies 12\sqrt{5}\sqrt{6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{a \cdot b}[/tex]

[tex]\implies 12\sqrt{5 \cdot 6}[/tex]

Multiply 5 and 6:

[tex]\implies 12\sqrt{30}[/tex]

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's get it done ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{45} \times \sqrt{96} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {3}^{2} \times 5 } \times \sqrt{2 {}^{4} \times 2 \times 3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{5} \times 2 {}^{2} \sqrt{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{5} \times 4\sqrt{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 12 \sqrt{30} [/tex]

What is the image of the point (-7,9) after a rotation of 270∘ counterclockwise about the origin?

(?,?)

Answers

The image of the point after a rotation of 270∘ counterclockwise about the origin is (9, 7)

How to determine what is the image of the point after a rotation of 270∘ counterclockwise about the origin?

The point  is given as

Point = (-7, 9)

The transformation rule is given as

270 degrees counterclockwise rotation

The rule of 270 degrees counterclockwise rotation is

(x,y) = (y,-x)

When the above rule is applied to the vertices of the point, we have:

Point' = (9, 7)

Hence, the image of the point after a rotation of 270∘ counterclockwise about the origin is (9, 7)

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suppose we want to solve the bvp using a direct method. if we approximate as , what will the matrix be when using the direct method?

Answers

A second-order differential equation with limitations on the solution y = y(x) at two different values of x makes up a second-order boundary-value issue.

What is a differential equation?

Any equation involving the abstract representation y=f(x) including one or more of its derivatives is known as a differential equation.

A function y=f(x) that fulfills the differential equation whenever f and also its derivatives are replaced into the equation is a response to a differential equation.

A system of ordinary differential equations having a solution and derivative values defined at more than one place is referred to as a boundary value problem. A two-point boundary value problem is one where the solution and derivatives are typically provided at just two positions (the boundaries).

A second-order differential equation with limitations on the solution y = y(x) at two different values of x makes up a second-order boundary-value issue. For instance, the boundary value issue y′′ + y = 0 with y(0) = 0 and y (/6) = 4 is quite straightforward.

In light of y′(0) = 0 and y′ (/6) = 4, is y′′ + y = 0.

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Solve (3-3x3+3)
Yea x means
multiply....
A. -3
B. -9
C. 3
D. 0


Answers

Answer:

A. -3

Step-by-step explanation:

Multiply first then add or minus

3 - 3 x 3 + 3

3 - 9 + 3

-6 + 3

-3

Answer:

i got 2.7

Step-by-step explanation:

Distribute & Combine like terms in the following expression:
10x - 5y + 5 (5x + y)

Your answer:​

Answers

Answer:

i think its -15x + 10y

Step-by-step explanation:

10x - 5y + 5 (5x + y)

10x- 5y + 25x+ 5y

combine

-15x + 10y

HHHHHEEEELLLPPP!!!! PLLEAASE

Answers

If two lines are cut by a transversal and the consecutive interior angle are supplementary, then the lines are parallel.

What are Interior Angles?

The angle between adjacent sides of a rectilinear figure.

The Line EF is transversal through AB and CD.

By converse of consecutive interior angles:

If two lines are cut by a transversal and the consecutive interior angle are supplementary, then the lines are parallel.

Statement                                            Reason

∠EPB≅∠EQD                                        Given

∠P=∠Q                                                Supplementary angles

AB||CD                                                 Converse of consecutive interior angles

Therefore if ∠EPB≅∠EQD then AB||CD.

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Show that (a + b) (a + b)²=a³+ 3a²b+3ab²+b³

Answers

Step-by-step explanation:

(a+b)(a+b)² = (a+b)(a²+2ab+b²)

=a(a²+2ab+b²) + b(a²+2ab+b²)

= a³+2a²b+ab² + a²b+2ab²+b³

=a³+2a²b+ a²b+ab² +2ab²+b³

=a³+3a²b+3ab²+b³

Words to know Match each word to know with its definition. dividend the number a dividend is divided by in a division problem divisor the number being divided in a division product the result of dividing one quantity by quotient enetoftwo or more numbers that are multiplied together factor the result of multiplying two or more quantities together​

Answers

Answer:

can't see it can u reload up

Answer:

u dont need help?

Step-by-step explanation:

still

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