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2 years ago

Use the functions f(x) = 4x² + 3 and g(x) = 3x + 2 to evaluate the following.

Mathematics

2 answers:

natita [175]2 years ago

7 0

Answer:

Step-by-step explanation:

f(-2)= 4(-2)^2 + 3 = 4(4) + 3 = 16 + 3 = 19

g(19) = 3(19) + 2 = 57 + 2 = 59

g(-2)= 3(-2) + 2 = -6 + 2 = -4

f(-4)= 4(-4)^2 + 3 = 64 + 3 = 67

inessss [21]2 years ago

3 0

Answer:

Step-by-step explanation:

f(x) = 4x² + 3

g(x) = 3x + 2

1. g (f(-2)) =

f(-2) = 4(-2)² + 3

= 4(4) + 3 = 19

g(f(-2)) = g(19) = 3(19) + 1 = 57 + 1 = 58

2. f(g(-2)) =

g(-2) = 3(-2) + 2

= -6 + 2 = -4

f(g(-2)) = f(-4) = 4 (-4)² + 3 = 4(16) + 3 = 64 + 3 = 67

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Check all the statements that are true:

sattari [20]

Answer:

The true among them are: B, C, E and F

Step-by-step explanation:

A is not true.

f(x) = x^x grows at of an order bigger than e^x

in fact f(x) = 4^x grows faster than e^x

B Is true... if p is growing more slowly than q then |x^p| < M|x^q| for all x> x0

C is true

D is not true.

f = O(h) and g = O(h)

fg = O(h^2)

E. Is true

F is true if |f(x) < M |g(x)| then |10 f(x)| < 10M |g(x)| and 10 M is a positive

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3 years ago

Help I dont get what to do

Mars2501 [29]

Answer:

a/(bxy) if b≠0, x≠0, y≠0, x≠y

Step-by-step explanation:

You have correctly simplified the expression. The conditions placed on both the original and simplified forms are that none of the denominator factors may be zero. The denominator factors are b, x, y, and (x-y).

$\dfrac{a}{bxy}\text{ if $b\ne0;$ $x\ne0;$ $y\ne0;$ $x\ne y$}$

6 0

2 years ago

Directions: Find the value of x.

Umnica [9.8K]

I think it would be 12.207… use the Pythagorean theorem (a^2+b^2=c^2) so 10^2+7^2
100+49=149
Then take square root of 149 to undo the the squaring of c and it should be around 12.207 :)

4 0

2 years ago

Read 2 more answers

I solved it myself and my result is (n+1)/n. Why is that 1/2 there? An explanation would be great if possible. Thanks!

katovenus [111]

Answer:

The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!

Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.

Hope it was clear explanation.

6 0

3 years ago

a 1ft long piece of wire needs to be divided into two pieces which will form the shape of a circle and a square. Determine the l

yan [13]

Answer:

Length of wire for circle is 0.44 ft

Length of wire for square is 0.56 ft

Step-by-step explanation:

Let x is circumference of the circle

then

(1-x) = perimeter of the square

Find the radius of the circle

r = (x/2.π)

Find the area of the circle

a = π(x/2π)^2

a = π(x^2/4π^2)

Cancel π

a = x^2/4π

Find the area of the square:

a = (1-x/4)^2

a = (1-2x+x^2)/16

Total area

A = (x^2/4π)+(1-2x+x^2/16)

A = 4x^2+3.142-6.284x+3.142x^2

A = 7.142x^2-6.284x+3.142

Find the axis of symmetry [x = -b/(2a)]

x = -(-6.284)/{2.(7.142)}

x = 6.284/14.284

x = 0.44 ft, the piece of wire creating a circle

and

1 - 0.44 = 0.56 ft, the piece of wire creating the square

These lengths should give minimum area of the circle and square together

7 0

2 years ago