Which function has the same domain as y= 2 sqrtx

The solution to the original equation will be -2 and -6

Given the function [tex](x + 3)^2 + (x + 3) - 2 = 0.[/tex]

If u = x + 3, the function in terms of "u" will be;

[tex]u^2+u-2=0[/tex]

Factorize the resulting equation as shown:

[tex]u^2+u-2=0\\u^2+2u-u-2=0\\u(u+2)-1(u+2)=0\\(u-1)(u+3) = 0\\u=1 \ and \ -3[/tex]

Since x + 3 = u

x = u - 3

If u  = 1

x = 1 - 3  = -2

If u  = -3

x = -3 - 3  = -6

Hence the solution to the original equation will be -2 and -6

Correct question:

Solve (x + 3)^2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u – 2 = 0 u2 + u + 1 = 0 Factor the equation. What are the solutions of the original equation?

Learn more on factorization here: https://brainly.com/question/25829061

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

(x + 1)²(x - 3)(x - 4) = 0

Equate each factor to zero and solve for x

x- 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3

(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then

x = - 1 with multiplicity 2

Answer:

2.6795

Step-by-step explanation:

Just ask! :)

(✿◡‿◡) HAPPY HOLIDAYS!!!

Answer:

2.6795

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.

__

Additional comment

We don't have access to your segment tool, so you will have to copy the graph.

Answer:

36 seconds

Step-by-step explanation:

30 / (5 x 60) = 0.01

0.01 hours = 0.6 minutes

0.6 minutes = 36 seconds

Answer:

10 minutes

Step-by-step explanation:

First, we need to convert hours to minutes. 5 x 60 = 300.

300 minutes for 30 miles.

Next, divide both numbers by something to equal 1. (Divide it by 30, because we are trying to get 30 to 1.)

300 divided by 30 = 10

30 divided by 30 = 1

So, it would take Jack 10 minutes to ride 1 mile.

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

27 = 3 x 3 x 3 = 3³

log3 27

= log3 3³

= 3 log3 3

= 3 x 1

= 3

Note : -

Formulas : -

Logn n = 1

Logn n^n = n Logn n

3.14 is used for pi.

6.  r = [tex]\sqrt{\frac{A}{\pi } }[/tex]

14.00

7. d = [tex]\frac{c}{\pi }[/tex]

5.00

8. d = [tex]2 \sqrt{\frac{A}{\pi } }[/tex]

23.01

9. r = [tex]\frac{c}{2\pi }[/tex]

20.01

10. d[tex]\pi[/tex] = [tex]2 \sqrt{{A}[/tex]

31[tex]\pi[/tex]

11. r[tex]\pi[/tex] = [tex]\frac{c}{2}[/tex]

22.5[tex]\pi[/tex]

Hope this helps :)

Answer:

12. 95.03

13. 52π mm or 52 mm

14. 119.38 meters

15. 227 in²

Note: (make sure to double check all of these because it never hurts to).

Answer:

Hi again

Its your 3rd option

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option 3 is correct just got the test!

Answer:

  D. (f+g)(x) = 8x^2 + 4x - 4

Step-by-step explanation:

The notation (f+g)(x) is shorthand for f(x) +g(x).

  (f +g)(x) = f(x) +g(x) = (3x^2 -2x +4) +(5x^2 +6x -8)

  = (3 +5)x^2 +(-2 +6)x +(4 -8)

  (f +g)(x) = 8x^2 +4x -4

Answer:

$75 I think. Not 100% sure but like 95% sure :)

The statements that are true are:

a. The rate of change of segment T is decreasing

b. Difference between the rate of change of segments S and R is 3½

To determine which statements are true, find the rate of change of each segment in the graph.

Rate of change for Segment R:

Segment R is horizontal, therefore the rate of change = 0.

Rate of change for Segment S:

Rate of change = rise/run = 7/2 = 3½.

Rate of change for Segment T:

Rate of change = rise/run = 8/-8 = -1.

Rate of change for Segment U:

Rate of change = rise/run = 5/3 = 2⅔.

The rate of change of segment T is negative, therefore, it is decreasing. (Option 1 is true).

Difference between Rate of change of segment S and R = 3½ - 0 = 3½. (Option 2 is also true).

Rate of change for segment T, -1, is less than rate of change for segment S, 3½. (Option 3 is not true).

Option 4 is false. Rate of change for segment U is rather 2⅔.

Option 5 is also not true. Segment R has a rate of change of 0.

Therefore, the statements that are true are:

a. The rate of change of segment T is decreasing

b. Difference between the rate of change of segments S and R is 3½

Learn more about rate of change on:

https://brainly.com/question/8728504

Answer:

2.50

Step-by-step explanation:

2.50 might be the answer

Answer: 15 1/3 or 15.333333

Step-by-step explanation:

Answer: 14

Step-by-step explanation: I solved the equation

Answer:

14 dollars

Step-by-step explanation:

Answer:

y= (1/2)x + 2

Step-by-step explanation:

yeah-ya.......... right?

Answer:

y=5/6x+5

Step-by-step explanation:

Just ask!

Hope this helps.

Sorry if I'm wrong.

~Happy Holidays!!~ o(*￣▽￣*)ブ

Answer:

Quadrant 1 (1,5)

Step-by-step explanation:

The upper right quadrant is quadrant 1 and the quadrants go in a counter clockwise direction.

Point T is in the upper right which is quadrant 1

Answer:

14x^4sqrt10

Step-by-step explanation:

Out of the two possible answers showing in the picture it seemed as is it was the only valid answer

Answer:

5x−3=13−3x

x=2

positve 2

Hello! :p

Original: 8+3x=-9y

standard form:  3x + 9y = -8

I hope this helps! Have a wonderful day! :)

Answer:

120 pounds

Step-by-step explanation:

24÷30 =0.8

0.8 x 150= 120 pounds

Answer:

562 = 85x +52

x is the number of days

Veronica traveled for 7 days

Step-by-step explanation:

562 = 85x + 52

510 = 85x Subtract 52 on both sides

6 = x Divide by 85 to isolate x

Even though Veronica only had to drive 52 miles on the last day of her trip, it still counts as a day of driving. Hence, she traveled 7 days in total.

Answer:

TY

Step-by-step explanation:

If my calculations are correct, Sally would be able to buy 3 pairs for 84 bucks and 5 pairs of shirts for 60 bucks, making a total of 144 bucks.

Answer:

Step-by-step explanation:

true

The price of the package of screws would be = $40

The quantity of nails bought by the customer = 6 packages

The quantity of screw bought by the customer = 7 packages of screw.

The total amount of the whole package = $74.35

The total number of packages = 6+7 = 13

For screws = 7/13 × 74.35

= 520.45/13 = $40

Learn more about division here:

https://brainly.com/question/25289437

#SPJ1

Answer: 25%

Step-by-step explanation:

Answer:

25% increase

Step-by-step explanation:

Answer:

$270

Step-by-step explanation:

So Big G gets a great deal on a sofa...$172.80...the original price has to be higher, right? He (? She?) got 36% off...This means that they DID NOT pay 36%, but they DID pay 64% (bc 36 + 64 = 100%)

SO, you need to change percents to decimals to work with them in an equation. Let p be the original price. Original price times 64% will equal the sale price.

.64p = 172.80

DIVIDE BY .64

p = 270

You can check it using the 36% ---

270 × .36 = 97.2

The discount is $97.20

270 - 97.20 = 172.80✅

The original price for Goran's sofa was $270.00