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Nostrana [21]
3 years ago
13

For the given table of values for a polynomial function, where must the zeros of the function lie?

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0

Answer:

(B). between 2.5 and 3.0 and between 4.0 and 4.5.

Step-by-step explanation:

According to the Question,

  • If the value of the function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersects the x-axis at its zeroes.

From the given table it is clear that the value of function are

 x   |  f(x)  |   Sign

2.0 |  2.8  | Positive  

2.5 |  1.1    | Positive

3.0 | –0.8 | Negative

3.5 | –1.2  | Negative

4.0 | –0.3 | Negative

4.5 |  0.7  | Positive

  • The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5. It means the graph of function must intersect the x-axis in intervals 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.

Therefore, the correct option is B.

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The length of a rectangle is 5 less than 3 times the width. What is the length?
Tanzania [10]

Answer:

Let the width of the Rectangle be x inches

Then, length is (3x-5) inches

Perimeter of the Rectangle= 46 inches (given)

According to the above problem,

Equation :---- Perimeter=2(length+breadth)

<u>2{(3x-5)+x}=46</u>

2(4x-5)=46

(4x-5)=46/2=23

4x=(23+5)=28

x=28/4

<u>x=7</u>

So, length of the Rectangle is {(3×7)-5}=16 inches

and width is= 7 inches

5 0
2 years ago
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Someone please help me!!!!!!!
Mumz [18]
(4 - -2) / (9 - 5) = 6/4 or 3/2
7 0
3 years ago
ANSWER ASAP GIVING BRAINLIEST 5 STARS AND A HEART!
Vinvika [58]

Answer:

Triples

Step-by-step explanation:

Circumference of circle =  

π

D

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3 years ago
I NEED THIS ANSWER ASAP
telo118 [61]

Answer:

3 quarts and 3 cups

Step-by-step explanation:

4 cups=1 quart

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6 0
3 years ago
Which pair of functions have the same domain? A. F(x)= sin x and g(x) = tan x B. F(x) = cos x and f(x) = csc x C. G(x) = tan x a
EastWind [94]

Answer:

The correct choice is D

Step-by-step explanation:

The trigonometric functions, \sin x and \cos x are defined for all real numbers.

\tan x=\frac{\sin x}{\cos (x)}, this function is not defined where \cos x=0.

\cot x=\frac{\cos x}{\sin (x)}, this function is not defined where \sin x=0.

\csc x=\frac{1}{\sin (x)}, this function is not defined where \sin x=0.

For option A

The domain of f(x)=\sin(x) is all real numbers.

The domain of g(x) =tanx is x\ne \frac{(2n+1)\pi}{2}

For option B

The domain of f(x)=\cos(x) is all real numbers.

The domain of f(x) =csc(x) is x\ne n\pi

For option C,

The domain of G(x) =tanx is x\ne \frac{(2n+1)\pi}{2}

The domain of f(x) =cot(x) is x\ne n\pi

For option D;

The domain of f(x) =cot(x) is x\ne n\pi

The domain of f(x) =csc(x) is x\ne n\pi

3 0
3 years ago
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