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2 years ago

If f(x) = 4x² + 1 and g(x)=x2-5, find (f- g)(x).

Mathematics

1 answer:

Nadya [2.5K]2 years ago

8 0

Answer:

Option A is correct.

3x^2+6

Step-by-step explanation:

We have to find (f-g)(x):

We can write it f(x)-g(x), so substitute the values:

f(x)-g(x)=(4x^2+1)-(x^2-5)

=4x^2+1-x^2+5

=3x^2+6

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A standard doorway measures 6 feet 8 inches by 3 feet. What is the largest dimension that will fit through the doorway without b

nikdorinn [45]

Answer:

87.73 inches

Step-by-step explanation:

We are given that the dimensions of the rectangular doorway are,

Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.

Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.

i.e. $hypotenuse^{2}=length^{2}+width^{2}$

i.e. $hypotenuse^{2}=80^{2}+36^{2}$

i.e. $hypotenuse^{2}=6400+1296$

i.e. $hypotenuse^{2}=7696$

i.e. Hypotenuse = ±87.73 inches

Since, the length cannot be negative.

So, the length of the diagonal is 87.73 inches.

As, the largest side of a rectangle is represented by the diagonal.

So, the largest dimension that will fit through the doorway without bending is 87.73 inches.

7 0

3 years ago

The point, line, and pair of intersecting lines are special types of conic sections. true or false

Bumek [7]

Answer:

True

Step-by-step explanation:

In mathematics, a conic section (or just conic) is a curve obtained by intersecting a cone (more precisely, a right circular conical surface) with a plane. The point line and pair of intersecting lines are special types of conic sections.

4 0

3 years ago

I WILL MARK YOU THE BRAINLIEST IF YOU ANSWER THIS CORRECTLY WITH WORK

saul85 [17]

Answer:

Students on Honor Roll had no advantage to get the Science class requested. It was a fair class assignment. In fact No Honor Roll students had advantage over honor Roll Students in obtaining Science Class as requested.

Step-by-step explanation:

Here let us streamline the information we are given one by one

1.) Honor Roll

Get Requested Science Class : 64

Did Not get Requested Science Class : 80

Total : 144

Percentage of Honor Roll Students getting Science class as requested =

$\frac{64}{144}$

= 44.44%

2.) No Honor Roll

Get Requested Science Class : 315

Did Not get Requested Science Class : 41

Total : 356

Percentage of Non Honor Roll Students getting Science class as requested $= \frac{315}{356}$

= 88.8%

By observing the above result , we can assume that Honor Roll students did not have any advantage over non Honor Roll students in getting Science Class as they requested.

3 0

4 years ago

Pythagorean Theorem with Known Legs

stepan [7]

you're given the pythagorean theorem, which is a^2 + b^2 = c^2.

what you're trying to find is ?, which is the number under the radical.

let's pretend one leg is a and the other is b.

a = 9

b = 10

so let's plug it into the equation. we get 9^2 + 10^2 = c^2

so that equals 81 + 100 = c^2

181 = c^2