Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1? f(x) = 3x2 5x 4 f(x) = 3x2 15x 12 f(x) = 3x2 – 5x 4 f(x) = 3x2 – 15x 12

Answer:

Step-by-step explanation:

Remark

The method of finding the area of the ring is to find the area of the outer ring and subtract the area of the hole in the middle.

Outer ring

r = 10 + 4  = 14 inches

Area = pi * r^2

Outer ring area = pi * 14^2

Outer ring area = 196 pi

Inner hole

Area unshaded part = pi * r^2

r = 10

Area = pi * 10^2

Area = 100 pi

Area of the shaded part

area of the shaded part = outter circle area - inner circle area

outter circle area = 196 * pi

inner circle area = 100 pi

Area of the shaded part = 196 pi - 100 pi

Area of the shaded part = 96 pi

pi = 3.14

Area of the shaded part = 96 * 3.14

Answer area of the shaded part = 301.44

Answer area of the shaded part = 301.4 rounded to the nearest tenth

The second problem is done exactly the same way. Only the numbers have been changed. I will give you the answers to the main part of the problem and you can try and get what I got. If we disagree, be preparred to tell me what you got so I correct mine if it is wrong.

Outter Radius = 18 + 8 = 26

Area of outter circle =  pi * 26^2

Area of outter circle =  676 pi

Inner Circle area hole = pi * 18^2

Inner Circle area hole = 324 pi

Area of the shaded part = outter circle - inner circle

Area of the shaded part = 676 pi - 324 pi

Area of the shaded part = 352 pi

pi = 3.14

Area of the shaded part = 352 * 3.14

Answer: area of shaded part rounded to 1 decimal place = 1105.3

Answer:

1.) It's too small to be considered a planet.

2.)it did not meet the three criteria the IAU uses to define a full-sized planet.

Answer:

27

Step-by-step explanation:

60 ÷ (3+7) + 7 • (9÷3)​=

60÷10+7•3=

6+7•3=

6+21=27

The true statement is as follows "No because she did not use a simple random sample".

Random sampling is the method to choose the given samples of observation to make assumptions about the population.

It is given that

Population: All tenth-grade girls

Sample: 20 intramural tennis players

The 20 intramural tennis players cannot represent all tenth-grade girls.

This is so because the selection is biased here, and it could not be used to make inferences about the overall population. then she did not use a simple random sample.

Hence, the true statement is (b)

Read more about random sampling at:

https://brainly.com/question/1334729

Answer:

the correct answer is B.

Step-by-step explanation:

~Hope this helps! :)

Answer:

2160

Step-by-step explanation:

12×4×3×5÷2×6

Multiply 12 and 4 to get 48.

2

48×3×5

​

×6

Multiply 48 and 3 to get 144.

2

144×5

​

×6

Multiply 144 and 5 to get 720.

2

720

​

×6

Divide 720 by 2 to get 360.

360×6

Multiply 360 and 6 to get 2160.

2160

Answer:

follow PEMDAS

that leaves multiplication as our first priority, division as our second.

[tex]12 * 4 = 48\\48 * 3 = 144\\144 * 5 = 720\\solve~2 * 6\\2 * 6 = 12\\now~resume\\12 / 720 = 60[/tex]

Answer:

Rewrite the equation into the form of "y=mx+b", plot the y-intercept (b), plot the x-intercept(s), then create the line.

Step-by-step explanation:

Example: 2x + y = 1

I hope this helps!

Answer:

[tex]307.876\quad cm^{2}[/tex]

Step-by-step explanation:

As, the given figure is semicircle

Area of Semicircle [tex]=\frac{\pi\ r^{2} }{2} \\[/tex]

r=14 cm

So Area is [tex]=307.876\quad cm^{2}[/tex]

Answer:

307.72 :)

Step-by-step explanation:

SEmicirlce area: 1/2(3.14r^2)

Now lets solve!!

28/2 = 14

1/2(3.14)(14^2)

1/2(3.14 x 196)

1/2(615.44)

307.72

Have an amazing day!!

Please rate and mark brainliest!!

Answer:4.25

Step-by-step explanation: you divide the cost by the materials I believe (I’m sorry if it’s wrong)

Answer:

2.85

Step-by-step explanation:

In order to find a unit price (price per item), you will need to divide.

In this case, we have the numbers 14.25 and 5.

So if we divide...

14.25 ÷ 5 = 2.85

We know the unit price.

The answer is 2.85.

Brainliest please?  

Answer:

disjoined am not sure abot the P(A or B)

Step-by-step explanation:

Answer:

disjointed 2/3

Step-by-step explanation:

hopeit helps

Answer:

3

Step-by-step explanation:

Mean= add up all the numbers, then divide by how many numbers there are. 0+3+6=9

9/3=3

The linear equation which has only one solution would be |–6x + 3| = 0

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

|x – 5| = –1

The absolute function cannot be equal to the negative. so we cannot solve this absolute function.

|–6 – 2x| = 8

For this absolute function, we make two equations here

-6-2x= 8  and -6-2x= 8. So we will get two solutions for x.

|5x + 10| = 10

For this absolute function, we make two equations here

5x+10= 10 and 5x+10= -10. So we will get two solutions for x

|–6x + 3| = 0

For this absolute function we make two equations

-6x+3=0 and -6x+3=-0.

Both have the same 0 on the right side. So we will get only one solution for x

Learn more about equation;

https://brainly.com/question/11888999

Answer:

the answer is D.

Step-by-step explanation:

A has no solutions

B and C have two solutions.

therefore, none of these have only one solution.

Images that are reflected are mirror images of each other. The coordinate D reflected over the y-axis will give (0, 1).

Images that are reflected are mirror images of each other.

The reflection rule of a coordinate (x, y) over the y-axis is given as:

(x, y) - > (-x, y)

Given the coordinate CD expressed as C(-5, -5) and D(0,1), the coordinate D reflected over the y-axis will give (0, 1).

Learn more on reflection here: https://brainly.com/question/26642069

Answer:

(0, 1)

Step-by-step explanation:

Using the Central Limit Theorem, it is found that each random sample must have at least 10 parents supporting the change and 10 opposing.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

For the test hpyothesis, two conditions are needed:

Hence each random sample must have at least 10 parents supporting the change and 10 opposing.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Answer:

5.4232

Step-by-step explanation:

this should be correct

The area of the square, which has an apothem measuring 2.5 cm and a perimeter of 20 cm is 25 cm².

Area of square is the square of its side's length. It can be given as,

[tex]A=a^2[/tex]

Here, (a) is the length of the side of the square

A square has an apothem measuring 2.5 cm and a perimeter of 20 cm. The perimeter of the square is 4 times the sides of the square.

Let suppose the side of this square is a cm. thus,

[tex]4a=P\\4a=20\\a=\dfrac{20}{4}\\a=5\rm\; cm[/tex]

The area of the square is,

[tex]A=5^2\\A=25\rm\; cm^2[/tex]

Hence, the area of the square, which has an apothem measuring 2.5 cm and a perimeter of 20 cm is 25 cm².

Learn more about the area of square here;

https://brainly.com/question/1658516

Answer:

25cm

Step-by-step explanation:

e2020

Answer:

Step-by-step explanation:

If 60cm is the outer diameter of the rim, then the rim without a tire would travel 188.50 (not 188.4) cm per revolution. There will of course be a tire, and the extra diameter of wheel+tire will increase the distance traveled by the bike. If e.g. the tire is 3cm from bead to outermost tread (and is properly inflated), then the extra circumference would be 2 x 3cm x pi = 18.850cm of distance traveled, for a total of just over 207.3 cm per revolution.

Answer:

3 cm

Step-by-step explanation:

The formula for the volume of a pyramid is :

Given

Solving

Answer:

y = 3/2x + 15/2

or

y = [tex]\frac{3x+15}{2}[/tex]

Step-by-step explanation:

To solve inverse functions, switch the x and y in the equation, then

solve for y.

original equation :

y = (2/3)x - 5

switch x and y

x = (2/3)y - 5

add 5 to both sides

x + 5 = (2/3)y

Multiply both sides by the reciprical of (2/3)

(3/2)(x+5) = (3/2)(2/3)y

distribute and simplifiy

(3/2x +15/2) = y

or

y = (3/2x) +(15/2)

The maximum area would be a square with 4 identical sides.

36/4 = 9

Each side would be 9 feet long.

Area = 9 x 9 = 81 square feet

Answer: 81 square feet

Answer:

The Triangle Midsegment Theorem states that, if we connect the midpoints of any two sides of a triangle with a line segment, then that line segment satisfies the following two properties

Step-by-step explanation:

Answer:

C 61

Step-by-step explanation:

Answer:

C. 3.8 x 10¹⁰

Step-by-step explanation:

Our expression :

Steps to solve :

1) Take the values of the exponents of 10 and the other numbers separately.

C is the correct option.

By using what we know about right triangles, we will see that the height is 11.7 m.

We can view this as a right triangle, such that the wire is the hypotenuse of said triangle.

We know that the hypotenuse measures 14 m, and the angle between the ground and the wire si 57°. The height would be the opposite cathetus to that angle, so we can use the rule:

Sin(a) = (opposite cathetus)/hypotenuse

Replacing the values we get:

Sin(57°) = H/14m

Sin(57°)*14m = H = 11.7m

The height of the tower is 11.7 meters.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Answer:

Step-by-step explanation:

Given that a quadrilateral has two angles that measure 222° and 81°.

Let other two angles of quadrilateral be 6x and 13x. We know that sum of all the angles of quadrilateral is 360°.

➝ 222 + 81 + 6x + 13x = 360°

➝ 303 + 19x = 360°

➝ 19x = 360° - 303

➝ 19x = 57

➝ x = 57/19

➝ x = 3

Hence,

∴ Other two angles of quadrilateral measures 18° and 39°

Answer:

Measurement of other two angles are 39° and 19°

Step-by-step explanation:

Given :-

To find:-

Solution:-

Let the value of other two angles be 6x and 13x

We know , the sum of angle inside a quadrilateral is 360°

222° + 81° + 13x + 6x = 360°

19x = 360° - 303°

x = 3

So , the value of other two angles are

13 × 3 = 39°

6 × 3 = 18°

Answer:

3

Step-by-step explanation:

In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.

Step 1: Draw a rectangle where the width is x and the length is x + 5.

Step 2: Find the sum of the lengths and the sum of the widths

2 times the length plus 2 times the width equals the perimeter

2(x + 5) + 2(x) = 54

Step 3: Solve for the width

2(x + 5) + 2(x) = 54

2x + 10 + 2x = 54 (Distributive Property)

4x + 10 = 54 (Group Like Terms)

4x = 44 (Subtraction Property of Equality)

4x/4 = 44/4

x = 11 (Division Property of Equality)

x = width = 11

Step 4: Solve for the length

x + 5 = length

11 + 5 = 16

Length = 16. So (3) must be the answer.

Answer:

ΔSTR ~ ΔSRQ

Step-by-step explanation:

ΔSTR ~ ΔSRQ

because we need to write the corresponding sides in the same order

ST corresponds to SR

TR corresponds to RQ

SR corresponds to SQ

I agree with Kiran that the graph of g(x) = [tex]4* 2^{x}[/tex] is a vertical scaling of the graph of f(x) = [tex]2^{x}[/tex],

Scaling of the graph refers to the process of stretching or shrinking a graph of a function either vertically or horizontally, while maintaining the shape of the graph.

If the function f is given by f(x) = [tex]2^{x}[/tex],

the function of g is given by g(x) = [tex]4* 2^{x}[/tex]

I agree with Kiran that the graph of g(x) = [tex]4* 2^{x}[/tex] is a vertical scaling of the graph of f(x) = [tex]2^{x}[/tex],

To see this, note that both functions have a base of 2 raised to the power of x. However, the function g has an additional factor of 4 multiplying [tex]2^{x}[/tex]. This means that g is 4 times larger than f for any given value of x.

On the other hand, I disagree with Mai that the graph of g is a horizontal shift of the graph of f. A horizontal shift occurs when a function is moved left or right along the x-axis. However, both f and g have the same base, so the shape of their graphs is the same. The only difference is the vertical scaling due to the additional factor of 4 in g.

To know more about graph, visit:

https://brainly.com/question/11803331

#SPJ1

Correct question here-

Using the vertex of the quadratic equation, it is found that his minimum height will be of 25.875 feet.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the equation is:

h(t) = 2t² - 5t + 29.

Hence the coefficients are a = 2 > 0, b = -5, c = 29, and the minimum height in feet is given by:

[tex]y_v = -\frac{(-5)^2 - 4(2)(29)}{4(2)} = 25.875[/tex]

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

Ben minimum height above the ground when climbing the tree would be 25.875 feet

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that:

h(t) = 2t² - 5t + 29

The minimum height is at h'(t) = 0, hence:

h'(t) = 4t - 5

4t - 5 = 0

t = 5/4

h(5/4) = 2(5/4)² - 5(5/4) + 29 = 25.875 feet

Ben minimum height above the ground when climbing the tree would be 25.875 feet

Find out more on equation at: https://brainly.com/question/2972832

Answer:

7/15

Step-by-step explanation: