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3 years ago

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

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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Two people are standing on opposite sides of a hill. Person A makes an angle of elevation of 65° with the top of the hill and pe

8090 [49]

Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO $tan 65 = \frac{h}{45-x} = 2.14$

$h=2.14(45-x)$

From ΔBCO $tan80 = \frac{h}{x} = 5.67$

h = 5.67x

Now h = 5.67x = 2.14(45-x)

5.67x = 96.3 - 2.14x

2.14x + 5.67x = 96.3

7.81x = 96.3

x = 96.3/7.81 = 12.33 ft

Therefore $cos80 = \frac{x}{OB}$

$0.174 = \frac{12.33}{OB}$

$OB = \frac{12.33}{.174}=70.86=71ft.$

Therefore 71 ft is the distance between B and the top of the hill.

3 0

3 years ago

How can 4.17 be written as a whole number with a fraction?

solmaris [256]

It can be written as 4 17/100

3 0

3 years ago

"13 less than two-thirds of a number"

Sindrei [870]

The answer to your question is 13<2/3

7 0

3 years ago

Read 2 more answers

A where and a cylinder have the same radius and height . The volume of the cylinder is 48 cm 3. What is the volume of the sphere

SOVA2 [1]

Given:

Sphere and cylinder have same radius and height.

Volume of the cylinder = 48 cm³

To find:

The volume of the sphere.

Solution:

Radius and height of cylinder are equal.

⇒ r = h

Volume of cylinder:

$V=\pi r^2h$

Substitute the given values.

$48=\pi r^2r$ (since r = h)

$48=\pi r^3$

$48=3.14 \times r^3$

Divide by 3.14 on both sides.

$$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}$

$$15.28=r^3$

Taking cube root on both sides, we get

2.48 = r

The radius of the cylinder is 2.48 cm.

Sphere and cylinder have same radius and height.

Volume of sphere:

$$V=\frac{4}{3} \pi r^3$

$$V=\frac{4}{3} \times 3.14 \times (2.48)^3$

$V=63.85$

The volume of the sphere is 63.85 cm³.

6 0

3 years ago

Please help me i need this answer asap

xxTIMURxx [149]

Answer:

No

Step-by-step explanation:

d = (x_2 - x_1)^2 + (y_2-y_1)^2

If any two points on both triangles have the same measure then they are congruent.

41

52

3 0

3 years ago