What is the graph of y=3√x+1-2?

which ordered pairs are a solution to the equation? y=2×-3 select all that apply (4,2) (1,-1) (-1,-7) (2,1)

kirill [66]

To check if a point, such as (1, -1), is on your line, you can either sub in both the x and y values of each point into your line's equation, or one and check if the other matches up with your point.

For example, the x value of (1, -1) is 1, and the y value is -1. Sub these points into your equation:

y = 2x - 3 Original equation

(-1) = 2(1) - 3 Sub in points

-1 = 2 - 3

-1 = -1 Sides equal, therefore point is on line

If a point is NOT on the line:

y = 2x - 3 Original equation

(2) = 2(4) - 3 Sub in points

2 = 8 - 3

2 = 5 Sides do NOT equal, point is NOT on line, NOT a solution

3 0

3 years ago

Look at the table. Make a conjecture about the sum of the first 25 positive even numbers.

insens350 [35]

Even number are of the form 2n. The sum of this sequence is the average of the first and last terms times the number of terms.

So the first term is 2 and the 25th term is 50 so the sum is:

(2+50)(25/2)

52*12.5=650

The conjecture they wish you to make is that for n terms, the sum will be:

s=n(n+1)

And for 25 terms that would give you:

s=25*26=650

6 0

3 years ago

Read 2 more answers

A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days). Assume that the number o

OLga [1]

We have that the graph will have a solution that is mathematically given as

y=12sin(6t-\pi)+2

<h3>Daylight time June trough to December</h3>

Question Parameters:

A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days).

Generally the equation for the Amplitude and vertical shift is mathematically given as

$A=\frac{Max+min}{2}\\\\A=\frac{10+14}{2}$

A=2

vertical shift = $\frac{Max-min}{2}$

vertical shift = $\frac{14-10}{2}$

vertical shift =1

Therefore, the time is given as

$t=\frac{2\pi}{b}$

Where

$b=\pi/6\\\\t=\frac{2\pi}{\pi/6}$

Hence,The graph will have a solution

y=12sin(6t-\pi)+2

For more information on Graph

brainly.com/question/14375099

8 0

2 years ago

The sum of 2 times a number and -7, added to 5 times the number

Anna007 [38]

Let x be the number
2x - 7 + 5x
=7x-7

6 0

3 years ago

Read 2 more answers

The Varners live on a corner lot. Often children cut across their lot to scar walking distance. The diagram to the right represe

icang [17]

About 12.56 units.
Solve for x by plugging in values into Pythagorean theorem.
$a^{2} +b^{2} = c^{2}$
$x^{2} +(x+12)^{2} = 34^{2}$
Simplify
$2x^{2} + 24x+144 = 1156$
Subtract 144 from both sides
$2x^{2} + 24x = 1012$
divide both sides by 2
$x^{2} + 12x = 506$
complete the square
$x^{2} + 12x + 36 = 506 +36 . = (x+6)^2 = 542$
take the square root of both sides.
$x+6 = 23.28$
subtract by 6 to get about 17.28 for x.
Plug in values for x to get distance traveled on outside of the yard.
17.28 + (17.28 +12) = 46.56
subtract 34 from the length to get the difference in travel. 46.56-34=12.56

8 0

3 years ago