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pychu [463]
3 years ago
7

Determine the domain and range of F(x)=2(x+1)^2-3

Mathematics
2 answers:
alexdok [17]3 years ago
6 0
Domain is 0
range is -1
ollegr [7]3 years ago
3 0

Answer:  domain: all real numbers.  range: [-3, infinity)

Step-by-step explanation:

We've got f(x) = 2(x+1)^2 - 3.

You can plug in any number for x without a problem, so the domain is all real numbers, written \mathbb R.

If you graph the function, you can see it touches -3 but cannot go lower; however, it can reach anything higher than -3. Therefore the range is [-3, \infty).

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A line that passes through (-1, 6) and the origin
zmey [24]

Answer: The equation is y = -6*x

Step-by-step explanation:

I suppose that we want to find the equation for a line that passes through the point (-1, 6) and the origin (remember that the origin is the point (0,0))

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is equal to:

a = (y₂ - y₁)/(x₂ - x₁)

Now we know that our line passes through the points (0, 0) and (-1, 6), then the slope is:

a = (6 - 0)/(-1 - 0) = 6/-1 = -6

Then our equation is something like:

y = -6*x + b

To find the value of b we can use the fact that this line passes through the point (0, 0).

This means that when x = 0, y is also equal to zero.

If we replace these values in the equation we get:

0 = -6*0 + b

0 = b

Then our equation is:

y = -6*x

7 0
3 years ago
Hey! I hope everyone is doing great so far :) i'll appreciate some help, ty!
ioda
0.2 (y+2) = 0.2y + 0.2(2)
= 0.2y + 0.4
4 0
3 years ago
Read 2 more answers
Could you help me with this page
NeTakaya

5. area 0.75*2*0.75*2=2.25 m²

scale 1 in.=2 m so

8 0
3 years ago
5. Kamala worked for 7 1/2 h. She spent 2/3 of the time on her computer. How long was she on her computer?​
Lina20 [59]

Answer:

5 hrs

Step-by-step explanation:

7 1/2 hours equates to 450 minutes total

2/3 of 450 = 300 total minutes

turning the minutes back into hours, 300 / 60 = <u>5</u>

4 0
2 years ago
Read 2 more answers
an arc welder provides 250 amps of current when operating with a voltage of 40 volts. what is the power required by this welder
FinnZ [79.3K]
The power(P) of the circuits is the product of the voltage (V) in volts and current(I) in amperes. 
                                        P = IV

Substituting the known values to the equation,
                                     P = (250 amps) x (40 volts) = 10,000 Watts

Thus, the answer is 10,000 Watts. 

3 0
3 years ago
Read 2 more answers
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