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Vadim26 [7]
3 years ago
14

If f(x) = 2x2 + 1 and g(x) = x2 – 7, find (f – g)(x).

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

Answer:  The required value is

(f-g)(x)=x^2+8.

Step-by-step explanation: The given functions are:

f(x)=2x^2+1,\\\\g(x)=x^2-7.

We are given to find the value of (f-g)(x).

We know that, if s(x) and t(x) are any two functions of a variable x, then we have

(s-t)(x)=s(x)-t(x).

Therefore, we have

(f-g)(x)\\\\=f(x)-g(x)\\\\=(2x^2+1)-(x^2-7)\\\\=2x^2+1-x^2+7\\\\=x^2+8.

Thus, the required value is

(f-g)(x)=x^2+8.

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I need the answers and the work plsss help
Ilya [14]

The area of the room is 147.5 square feet so Michelle's reasoning was incorrect.

Step-by-step explanation:

Step 1:

To calculate the area of the given room, we divide the unknown shape into known shapes.

The room's shape is made of 2 rectangles.

The area of a rectangle is the product of its length and its width.

One rectangle has a length of 10 feet and a width of 12 1/2 feet.

The other rectangle has a length of 15 - 10 = 5 feet and a width of 4 1/2 feet.

Step 2:

The area of the first rectangle = (10)(12 1/2) = (10)(12.5) = 125 square feet.

The area of the second rectangle (10)(4 1/2) = (5)(4.5) = 22.5 square feet.

The total area of the room = 125 + 22.5 = 147.5 square feet.

3 0
2 years ago
Read 2 more answers
Identify this conic section.
BaLLatris [955]
Solve for x or y or 1
solving for y
divide both sides by x
y=25/x
not a line because x has t ohave exponent of 1, this one is y=25x^-1

ok, solve for something else
solve for 1
xy/25=1
this doesn't fit into the standard forms of any of the conic sections
if we were to subsitute points we would see it is a hyperbola that is diagonal with the x and y axises as assemtots

it is a hyperbola
5 0
3 years ago
Can someone please help me?
Sever21 [200]

Answer:

B.

Step-by-step explanation:

The problem is saying 2/5 squared by -2 times -3 multiplied by itself 4 times.

2/5 multiplied by itself -2 times looks like this: -2/5 times -2/5.

-3 multiplied by itself 4 times looks like this: -3 times -3 times -3 times -3.

Put the two together and it looks like B.

4 0
3 years ago
Find x. Then find the measure of angles A, B and C.
mafiozo [28]

Answer:

x= 11

A=59

B= 37

C = 84

Step-by-step explanation:

A triangle adds up to 180 °.

So the equation will be a °+ b° + c° = 180°

Next, you combine like terms.

6x + 3x + 9x+4-15-7 = 180\\18x-18=180

Then inverse operation,

18x-18=180\\18x=198\\x=11

After to get a, b, and c you just need to plug in x.

6(11)-7=a\\3(11)+4 = b\\9(11)-15=c

4 0
3 years ago
Please help I found this one a bit confusing ​
Sergio [31]

Answer:

C

Step-by-step explanation:

If you look closely.. You can see that one is longer than the other

3 0
3 years ago
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