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nirvana33 [79]
3 years ago
8

Corey concluded that the remainder of (3x3 + 8x2 - 4x - 3) + (x + 2) is 45.

Mathematics
1 answer:
kati45 [8]3 years ago
5 0

Answer:

-8

Step-by-step explanation:

3×3=9+

8×2=16=

(9+16_4×-3)+(×

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The radius of a sphere is 6 inches. Find the length of a chord connecting two perpendicular radii. x = inches
Lilit [14]
<h3>Answer:</h3>

6√2 ≈ 8.485 inches

<h3>Step-by-step explanation:</h3>

The radii and the chord together make an isosceles right triangle with legs 6 inches long. The hypotenuse of such a triangle is √2 times the leg length. So, the chord will be 6√2 in long.

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<em>Comment on isosceles right triangle</em>

It is worth remembering that the hypotenuse of an isosceles right triangle is √2 times the leg length. This is easily found using the Pythagorean theorem:

... c² = a² + b²

... c² = 1² + 1² = 2 . . . . for legs of length 1

... c = √2 . . . . . . . . . . take the square root.

Scale this result as needed for any particular problem. Here, the scale factor is 6 inches.

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3 years ago
Tính diện tích S của hình phẳng giới hạn bởi các đường y=x³,y=2-x² và x=-1
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Answer: uhhh

Step-by-step explanation:

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Area of composite shape​
nasty-shy [4]

16 m

Step-by-step explanation:

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Which conclusion about f(x) and g(x) can be drawn from the table
NeTakaya
<h2>Answer:</h2>

The conclusion that is true about f(x) and g(x) based on the table of values is:

  •      The function f(x) and g(x) are reflections over the y-axis.    
<h2>Step-by-step explanation:</h2>
  • We know that the rule that describes the reflection over the y-axis is:

        (x,y) → (-x,y)

Hence, if we have a function f(x) as:

f(x)=2^x

Then it's reflection over the y-axis is:

f(-x)=2^{-x}\\\\\\f(-x)=(2^{-1})^x\\\\\\f(-x)=(\dfrac{1}{2})^x\\\\i.e.\\\\\\g(x)=(\dfrac{1}{2})^x

Hence, they are reflection over the y-axis.

  • Also, we know that the exponential function of the type:

                y=ab^x

where a>0 is a increasing function if b>1

and is a decreasing function if: 0<b<1

Hence, f(x) is a increasing function and g(x) is a decreasing function.

  • Also, the initial value of a function is the value of function when x=0

when x=0 we see that both f(x)=g(x)=1

i.e. Both f(x) and g(x) have same initial value.

Also,by the graph we may see the relation.

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