x | f(x)
2.0 | 2.8
2.5 | 1.1
3.0 | –0.8
3.5 | –1.2
4.0 | –0.3
4.5 | 0.7
For the given table of values for a polynomial function, where must the zeros of the function lie?
A. between 2.0 and 2.5 and between 4.0 and 4.5
B. between 2.5 and 3.0 and between 4.0 and 4.5
C. between 2.0 and 2.5 and between 3.5 and 4.0
D. between 2.5 and 3.0 and between 3.5 and 4.0

Answer:

Step-by-step explanation:

[tex]V= ?\\r = 2\\h = 5\\\pi = 3.14\\\\V = \frac{1}{3} \pi*r^{2} *h\\\\V = \frac{1}{3} *3.14*2^{2} *5\\\\V= \frac{1}{3} *12.56*5\\\\V= \frac{1}{3}* 62.8\\\\V = 20.93333333\\\\\\V = 20.93[/tex]

In terms of pi

[tex]V= ?\\r = 2\\h = 5\\V = \frac{1}{3} \pi*r^{2} *h\\\\V= \frac{1}{3} *\pi*2^{2} *5\\\\V = \frac{1}{3} \pi*20\\V= 6.67\pi\\[/tex]

Answer:

Lisa's text average is 86 :))

Step-by-step explanation:

add all numbers up then divide them by 3.

Answer:

Hope it helps :]!!!!!!!

Answer:

Step-by-step explanation:

Firstly,

What is the mean?

The mean is where you add up all the number then divide the total by how many numbers there are.

8th number?

1.4.1

2. 5.7

3. 6.1

4. 2.3

5. 3.1

6. 4.5

7. 4.1

8. x

Opposite way:

4.1 + 5.7 + 6.1 + 2.3 + 3.1 + 4.5 + 4.1 = 29.9

(29.9 x) / (8) = 3.7375

3.7375 + x = 4.1375

4.1375 - 3.7375 = 0.4

Answer:

B. 20

Step-by-step explanation:

60 = 2x + 20

40 = 2x

40/2 = 2x/2

20 = x

Hope this helps :)

Answer:

B. 20

Step-by-step explanation:

Answer:

B-1

Step-by-step explanation:

You can draw a vertical line of symmetry in the middle of the figure. This would be one line.

Answer:

y = 1.56 x - 4.105

which agrees with answer "B" in your list of possible options.

Step-by-step explanation:

Notice that you are expected to use some type of regression tool for this problem. either a computer program or a handheld graphing calculator with such functionality.

I have entered the set of data points in two separate lists, one for the x-values,and another one for the y-values, and run the linear regression tool in order to get the best fitting line. See what I obtained using this tool in the screen capture I am attaching below.

Notice that the line of best fit reads:

y = 1.56015038 x - 4.10526316

showing clearly the slope and y-intercept of the line of best fit.

Rounding slope and y-intercept to the third decimal, we get:

y = 1.56 x - 4.105

which agrees with answer "B" in your list of possible options.

Answer:

The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².

Step-by-step explanation:

The circumference of the pool can be found by calculating the arc's length of the edges of the pool. This is done by using the following formula:

[tex]circumference = 2*\pi*r[/tex]

Where the radius is half the diameter, applying the data from the problem we have:

[tex]circumference = 2*3.14*10 = 62.8 \text{ ft}[/tex]

The area of the circle formed by the pool can be found using the following expression:

[tex]area = pi*r^2 = 3.14*(10)^2 = 314 \text{ ft}^2[/tex]

The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².

Answer:

x r 1.26 cm

Step-by-step explanation:

This can easily be solved by congruence.

Both triangles have the same proportions.

9.8 : 8.8 = (2 + 9.2) : (x + 8.8)

Because these are proportional, we can use and write this as if they were fractions.

9.8 / 8.8 = (2 + 9.2) / (x + 8.8)

multiply crosswise, gives:

9.8 * (x + 8.8) = (2 + 9.2) * 8.8

9.8 * x + 9.8 * 8.8 = (11.2) * 8.8

9.8 * x + 86.24 = 98.56

9.8 * x = 98.56 - 86.24

9.8 * x = 12.32

Divide left and right of the = sign by 9.8 gives,

x = 12.32 / 9.8

x = 1.2(571428)

x = 1.26 cm

Answer:

5

Step-by-step explanation:

(125) ^ 1/3

What number multiplied by itself 3 times is 125

5*5*5

25*5

125

Answer:

5

Step-by-step explanation:

5^3=125

So the cube root of 125 is 5.

Answer:

m = - 3 and b = - 3.

Step-by-step explanation:

A system of linear equations will not have solutions if the two lines are parallel.

Two equations are parallel:

1. if their slopes (m) are equal

2. the y-intercep (b) are different.

As y = - 3x + 5, the value of m of the other equation, y = mx + b, in order to make a system with no solution, needs to be  - 3, and the value of b need to be different to 5.

The only pair from the choices that meets that is the first option m = - 3 and b = -3.

Answer:

m = -3, b = 5

Step-by-step explanation:

The values m = -3 and b = 5, forms a linear equation: y = -3x + 5. This obviously coincides with the original equation given, and so will create a system of linear equations with no solution.

Answer:

Length of the pole = 12.2ft

Step-by-step explanation:

Hello,

According to your description, the pole against a wall of height 7ft and the distance between the base of the pole to the wall is 10ft.

See attached document for better illustration.

To solve this problem, we'll have to make use of pythagorean theorem

According to pythagorean theorem,

X² = y² + z²

X = ?

Y = 10ft

Z = 7ft

X² = 10² + 7²

X² = 100 + 49

X² = 149

X = √(149)

X = 12.2ft

The length of the pole is 12.2 ft

Unfortunately, the length of the pole does not corresponds with any of the answers above, but this is actually the right answer.

Good luck

Answer:

The temperature in Tucson is [tex]12\,^{\circ}C[/tex].

Step-by-step explanation:

Let be [tex]T[/tex] and [tex]-T[/tex] the temperatures registered in Tucson and Minneapolis, respectively. The difference between both temperatures is:

[tex]T - (-T) = 24\,^{\circ}C[/tex]

[tex]2\cdot T = 24\,^{\circ}C[/tex]

[tex]T = 12\,^{\circ}C[/tex]

The temperature in Tucson is [tex]12\,^{\circ}C[/tex].

Answer:

The temperature in Tucson is 12°C, and that of Minneapolis is -12°C.

Step-by-step explanation:

Let the temperature in Tucson = T

And the temperature in Minneapolis = -T. Because the temperatures are opposites.

Since we know that it is 24°C warmer in Tucson that it was in Minneapolis, then

T - (-T) = 24

T + T = 24

2T = 24

T = 24/2

= 12

Therefore, the temperature in Tucson is 12°C, and that of Minneapolis is -12°C.

Answer:

Yes

Step-by-step explanation:

Add any two sides and see if it is greater than the third   for all three sides

5+7 > 10  true

7+10 > 5  true

10+7 > 5  true

Then the three sides form a triangle

So the right answer is (2,-5)

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

Midpoint (2 , -5)

Step-by-step explanation:

RULE: (midpoint)

Consider P(x1,y1)and Q(x2,y2) two points:

the midpoint M(x,y) of the segment PQ is defined like this:

[tex]x = \frac{x1+x2}{2} \\\\y=\frac{y1+y2}{2}[/tex]

In our case

x1 = 6 ; y1 = -3

x2 = -2 ; y2 = -7

then

[tex]x = \frac{6+(-2)}{2} =2\\\\y = \frac{(-3)+(-7)}{2} =-5[/tex]

Answer:

answer is 12

Step-by-step explanation:

because 5×4=20

so u have to multiply 4 and three

3×4=12

and u can reduce it to

6/10 and reduce it again to

3/5

Answer:

A

Step-by-step explanation:

11.4-15.7 = -4.3

Answer:

A. -4.3 F

Step-by-step explanation:

Originally you started with 11.4 F, and the question said it decreased by 15.7 F so that basically means you subtract the final condition from initial,

11.4 F - 15.7 = -4.3 F, so at night it was -4.3 F cold.

If you think about this question in terms of apples. Originally I gave you 12 apples to keep for a day. When I returned home at 7pm the numbers of apples decreased by 8. So bascially my final apples will be 12- 8 = 4 apples remaining.

Answer:

1

Step-by-step explanation:

Plug in the x value.

3(5)-14

3(5)=15

So then you do 15-14

Which equals to 1

Hope this helps! Plz mark brainliest!!

Answer:

1

Step-by-step explanation:

1. 3(5)-14     first substitute

2. 15-14

3. 1

Answer:

There are 320 boys

Step-by-step explanation:

boys: girls : total

4         5         4+5 = 9

Take the total and divide by 9

720/9 = 80

Multiply each term by 80

boys: girls : total

4*80  5*80    9*80

320    400    720

There are 320 boys

Answer:

324 boys

Step-by-step explanation:

Add the ratio, 4+ 5 = 9 and divide 720 with nine. Then multiply that value, 81, with 4 to find the number of boys, and multiply with 5 to get the girls

Answer: 17 feet

Step-by-step explanation:

Answer:

83.7 %

Step-by-step explanation:

To get the area of the shaded region, we will following these steps.

Step one: Get the area of the sector of the circle.

The area of the sector of the circle can be obtained using the formula:

[tex]Area = \frac{\theta}{360}\times \pi r^{2}[/tex]

Theta will be 60 degrees because triangle OAD is an equilateral triangle

Hence, [tex]Area = \frac{60}{360}\times \pi \times 9^{2}= 42.42cm^{2}[/tex]

Step Two: Get the area of the equilateral triangle

The area of the equilateral triangle can be got using the formula

[tex]Area = \frac{1}{2} Base \times Height[/tex]

The height of the triangle can be got by drawing an imaginary line bisecting the triangle into two parts and applying the Pythagoras' theorem to any of the resulting right-angled triangles formed.

This will be [tex]height =\sqrt{4^{2}-2^{2}} =3.46cm[/tex]

Thus [tex]Area = \frac{1}{2}\times 4\times 3.46=6.93cm^{2}[/tex]

Step Three: Subtract the area of the triangle from the area of the sector

Area of the shaded portion = [tex]42.42cm^{2}-6.93cm^{2}=35.49cm^{2}[/tex]

Step Four: Divide the area of the shaded portion by the area of the entire shape and multiply the result by 100:

Expressing the ratio of the two areas as a percentage, we have

[tex]\frac{35.49}{42.42} \times 100\approx 83.7 %[/tex] %

Answer:

Bruh its not that hard, but ill answer it. answer is below

Step-by-step explanation:

Divide y by 9 then subtract z from the result

We know that y divided by 9 is y/9

and the you subtract z from it: y/9-z

but i think that since it says "subtract z FROM THE RESULT"

I think it is

(y/9)-z

Answer:

Triangle (A) reflected over the line y = x

Step-by-step explanation:

From the figure attached,

Coordinates of the vertices of triangle (A) are A(1, 4), B(1, 2) and C(2, 2)

After transformation of triangle A, coordinates of the vertices A', B' and C' of the image triangle (B) are,

A'(4, 1), B'(2, 1) and C'(2, 2)

Lets choose point A to find the rule of transformation,

A(1, 4) → A'(4, 1)

Rule → (x, y) → (y, x)

It shows triangle (A) has been reflected across a line y = x.

Therefore, triangle (A) maps onto triangle (B) when reflected over the line y = x.

[tex]8.92 \times 10^6[/tex]

[tex]8920000[/tex]

Answer: 945.52

Step-by-step explanation:

Answer:

Okay: y = 4x - 1

Step-by-step explanation:

So,

1 x 4 = 4 - 1 = 3

2 x 4 = 8 - 1 = 7

3 x 4 = 12 - 1 = 11

Hope this helps you. :)

Have a good day!

(brainliest would be appreciated)

Answer:

Option C is the correct answer.

Step-by-step explanation:

[tex] \angle C[/tex] is opposite [tex] \overline{AB} [/tex]

Answer:

√(30) - 3√(2) + √(55) - √(33) / 2

Step-by-step explanation:

Answer: C

Step-by-step explanation:

We can say that the equaiton of the line is -1/6x+1, considering that is in each answer choice. Than main part is the shading and inequality. If you look closely at the graph, the shading line is a dashed/dotted line. This means the shaded part does not equal the actual line. We can eliminate B and D.

Now, we are left with A and C. A is saying y< while C is saying y>. C is the correct answer because if you look at the shading, it it above the line, which is greater than. Therefore, the answer is C.

Answer:

A Graph = C ; B Graph = D ; C Graph = B ; D Graph = A

Step-by-step explanation:

Answer:

a. = C.

b. = D.

c. = B.

d. = A.

Step-by-step explanation: