is {(-2,1),(-1,2),(0,3),(1,4) } a function?

Step-by-step explanation:

these are both quadratic curves, parabolas, and factorization means to express the 2 terms as multiplication with each other, so that the result would be the simplified function. in other words : find the two factor terms that make the whole function.

the advantage of factorization is to see the 2 solutions for y=0 right away.

the general form is

y = (x + a)(x + b)

and the y=0 solutions are then simply x = -a and x = -b.

in example 3 we have 2 different y=0 solutions, seemingly at x = 1 and x = 5.

that makes the factorization :

y = (x - 1)(x - 5)

when x becomes one of these values, the corresponding factor becomes 0 and therefore y becomes 0 too.

in example 4 we have only one y=0 solution (or so it seems; in fact there are still formally 2 solutions, they are just equal).

it is seemingly at x = -2.

since both solutions are equal, we have also two equal factors.

that makes the factorization

y = (x + 2)(x + 2) = (x + 2)²

Answer: $37.15

Step-by-step explanation:

$31.958

Step-by-step explanation:

I'm not sure guys if that's right answer

if there is any doubt leave a comment

Answer:

Price of a notepad in terms of k ⇒ (k - 8)/4

Step-by-step explanation:

Let the price of a notepad be n.

8 + 4n = k

In order to get the answer, we've to make n as the subject of the above equation.

8 + 4n = k

4n = k - 8

n = (k - 8) / 4

Answer: x = -1.4

Step-by-step explanation:

Answer: x = -7/5

Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1)                       3x+−8x+−18 = 10x+−2+5                                                                                       −5x+−18 = 10x+3                                                                                                 −5x−18-10x = 10x+3-10x                                                                                             −15x−18+18 = 3+18                                                                                                   −15x/-15=21/-15                                                                                                         x = -7/5

Answer:

Least to greatest

0.75 , 1.25 , -1. 08 , -0. 5

Step-by-step explanation:

Hope my answer helps you

Answer:

click the button and use it as and use it

Answer:

22

Step-by-step explanation:

Substitute x = 3 into f(x) , that is

f(3) = 5(3) + 7 = 15 + 7 = 22

Answer: 1.075s

Step-by-step explanation:

s*175/100=1.075s

Answer:

$34

Step-by-step explanation:

374/11=34

Answer:

One ticket cost $34

Step-by-step explanation:

Tito purchased 11 tickets for $374 so divide $374 by 11 and you get $34

Answer:

1386

Step-by-step explanation:

V=πr²*h

V=22/7*7²*9

V=1386

Answer:

it is strech

Step-by-step explanation:

The dilation of triangle QRS is stretched by scale factor 1/2.5.

From the Figure,

The coordinates of S(-1, 0), R(-1, 1) and Q(2, 0)

and, the coordinates of S' (-2.5, 0), R'(-2.5, 2.5) and Q'(5, 0).

Now, the scale factor is

= side of QRS / side of Q'R'S'

As, side of QR = 3 unit and side of Q'R' = 7.5 unit.

So, the scale factor is

= 3 /7.5

= 1 / 2.5

Thus, the dilation is stretched by scale factor 1/2.5.

Learn more about Scale Factor here:

https://brainly.com/question/29464385

#SPJ4

Answer:A loan company charges $30 interest for a one month loan of $500. Find the annual interest rate they are charging.

Step-by-step explanation:You will earn $160 interest total over the four years. Try it Now 1. A loan company charges $30 interest for a one month loan of $500. Find the annual interest ...

a. Parameterize C₁ by

[tex](x(t),y(t)) = (1-t)(-13,-7) + t(0,6) = (-13+13t,-7+13t)[/tex]

with 0 ≤ t ≤ 1. Then both dx = 13 dt and dy = 13 dt, so that the line integral along C₁ is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_0^1 (-7+13t)^2(13\, dt) + (-13+13t)(13\,dt)[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \int_0^1 (169t^2 - 169t + 36) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \left(\frac{169}3-\frac{169}2+36\right) = \boxed{\frac{611}6}[/tex]

b. Parameterize C₂ by

[tex](x(t),y(t)) = (36-t^2,t)[/tex]

with -7 ≤ t ≤ 6. Then dx = -2t dt and dy = dt, so the line integral is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 t^2(-2t\,dt) + (36-t^2)\,dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 (36-t^2-2t^3) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \left(36\cdot6-\frac{6^3}3-\frac{6^4}2\right) - \left(36\cdot(-7)-\frac{(-7)^3}3-\frac{(-7)^4}2\right) = \boxed{\frac{5005}6}[/tex]

Answer:

So for Shop A 10, a pack of 10 pens is going to be 2.30. To get to 70 pens we must multiply

7x2.30

=$16.10

For Shop B you must  first divide

70 divided by 5 = 14 packs of pens in total, divide 14 by 2 because half of the packs will be half off.

so, 7x1.60

=$11.20- then divide 1.60 by 2 = $0.80,

then multiply by 7

=$5.60, then add the the two numbers for Shop B,

$11.20 + $5.60= 16.80

Step-by-step explanation:

So if you buy pens from Shop A you will spend $16.10, If your buying pens for Shop B you will spend $16.80

The difference from buying pens from Shop A and Shop B would be $0.70

use brainly and scan it, you will get some recommendation

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Perimeter of given triangle is ~

[tex] \boxed{ \boxed{26 \: \: units}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The given triangle is an Isosceles triangle, with equal sides (4x + 2) and (7x - 4)

that is ~

Now, measure of its sides are ~

So, Perimeter = Sum of all three sides of the triangle ~

Answer:

If the borrower defaults on the loan, the lender can collect the collateral outlined in the loan agreement. But the lender can’t go after the borrower for further compensation, even if the value of the collateral doesn’t cover the full amount of debt owing.

Step-by-step explanation:

Answer:Wuts the answer

Step-by-step explanation:

Answer:

1.25 Hours (1 hour & 15 minutes)

Step-by-step explanation:

14x = 5 + 10x  

Subtract 10x from both sides

4x = 5

Divide by 4 on both sides

x = 1.25

It will take 1 hour and 15 minutes (1.25 hours) for Mrs. Penn and Mrs. Smith to be paid the same amount.

Answer:

Linear

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have the system with two quadratic equations.

Both equations are of degree two.

This is therefore not linear.

Answer:

7/12

Step-by-step explanation:

1/2 + 1/12?

To add fractions, find the LCD and then combine.

Exact Form:

7 /12

Decimal Form:

0.583

Answer:

18/12 or 3/2

Hope this helps!

Answer:

6+x=15 (x=9)

Step-by-step explanation:

6 cookies + the newly baked ones = 15 cookies

we know there was 6 cookies and we knew that the result is 15, which means that we "don't know" how many cookies are baked. So the answer is 6+x=15

Answer:

58 seconds.

Step-by-step explanation:

Since one minute equals 60 seconds, Carlos took 63 seconds.

Orlando ran in 63 seconds - 5 seconds, which is equal to 58 seconds.

Answer:

D,no if you graph both inequalitiesvon thevsame geaph ,you will get b =16

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Answer:

2.57×104= 267.28

2.57×10-1= 24.7

Answer:

2.57x10^4 is 100,000 Greater that 2.57x10^-1

Step-by-step explanation:

2.57x10^4 has a power by 4 which means

10^4 = 10,000

and 2.57x10^-1 has a power by -1 which means

10^-1 = 0,1

therefore 2.57x10^4 is 100,000 Greater that 2.57x10^-1

Step-by-step explanation:

Eliminate the x:

[tex]\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by (-3)}\\\\\left\{\begin{array}{ccc}-3(x-2y)=(-3)(6)\\3x+y=4\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-3x+6y=-18\\3x+y=4\end{array}\right}\\.\qquad\qquad7y=-14\\.\qquad\qquad y=-2[/tex]

Eliminate the y:

[tex]\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by 2}\\\\\left\{\begin{array}{ccc}x-2y=6\\2(3x+y)=(2)(4)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-2y=6\\6x+2y=8\end{array}\right}\\\\.\qquad7x=14\\.\qquad x=2[/tex]

Answer:

i think its c in my opionion not sure tho

Answer:

D. 13/36

Step-by-step explanation: