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deff fn [24]
2 years ago
14

Given that f(x) = x2 + 1 and g(x) = -3, multiply the functions (gºf)(x).

Mathematics
1 answer:
stich3 [128]2 years ago
3 0

Answer:

(g\cdot f) =  -3x^2-3

Step-by-step explanation:

f(x) = x^2 + 1

g(x) = -3

The problem state to multiply the function f and g so the symbol seems to be incorrect.

We actually want to calculate

g(x)  f(x) =gf(x) =  (-3)  \cdot (x^2+1)= -3x^2-3

Note

g\circ f(x)=g(f(x))=g(x^2+1)=-3

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Will a 11.5-inch x 18-inch rectangular tray fit in<br> the box shown? Explain.
pychu [463]

Answer:

Option D

Step-by-step explanation:

From the picture attached,

In the parallelogram ABCD,

Length of diagonals AC and BD are equal.

By the property,

"If the lengths of the diagonals of a parallelogram are equal, parallelogram will be a rectangle".

Therefore ABCD is a rectangle.

That means all interior angles of the given rectangle will be 90°.

Now we apply Pythagoras theorem in right triangle ΔABC,

AC² = AB² + BC²

(22)² = (12)² + (BC)²

484 - 144 = (BC)²

BC = √340

BC = 18.44 inches

Dimensions of the given box are 12 inches by 18.44 inches.

Dimensions of the rectangular tray is 11.5 inches by 18 inches.

Since, dimensions of the box are larger than the dimensions of the tray, tray can be adjusted in the box.

Therefore, Option D will be the answer.

3 0
2 years ago
What is the modulus of |9+40i|?
Talja [164]

Answer:

41

Step-by-step explanation:

We know that complex numbers are a combination of real and imaginary numbers

Real part is x and imaginary part y is multiplied by i, square root of -1

Modulus of x+iy = \sqrt{x^2+y^2}

Here instead of x and y are given 9 and 40

i.e. 9+40i

Hence to find modulus we square the coefficients add them and then find square root

|9+49i| =\sqrt{9^2+40^2} =\sqrt{1681}

By long division method we find that

|9+40i| =41


6 0
3 years ago
Read 2 more answers
The graph of the function f(x) = –(x + 3)(x – 1) Which statement about the function is true
Alex73 [517]

I think the answer is 2.The function is negative for all real values of x where x < –3 and where x > 1.

7 0
3 years ago
Xavier is buying bottled water for his basketball team. If he has $20 to spend on water, and each bottle of water
SSSSS [86.1K]

Answer:

Step-by-step explanation:

1.5 * 13 = 19.5 dollars

0.50 = 20 - 1.5x   where 0.50 is the amount of money he has left and x is the number of bottles of water  he buys

4 0
3 years ago
For each value of y, determine whether it is a solution to 7=y÷4.​
rjkz [21]

Answer:

Step-by-step explanation:

7 = y/4

7*4 = y

y = 28

4 0
3 years ago
Read 2 more answers
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