Which of the following best describes the graph of the polynomial function
below

O A. The graph has one zero.
B. The graph has two zeros.
O C. The graph has infinitely many zeros.
D. The graph has no zeros.

Answer:

[tex](c)\ f(5) < g(3)[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 2(n-1) -1[/tex]

[tex]g(n) = 3n + 6[/tex]

Required

Which is correct

[tex](a)\ g(6) < f(6)[/tex]

Calculate g(6) and f(6)

[tex]f(n) = 2(n-1) -1[/tex]

[tex]f(6) = 2(6 - 1) -1 = 2*5-1=9[/tex]

[tex]g(n) = 3n + 6[/tex]

[tex]g(6) =3*6 +6 =24[/tex]

(a) is false, because g(6) > f(6) i.e. 24 > 9

[tex](b)\ f(7) > g(10)[/tex]

Calculate f(7) and g(10)

[tex]f(n) = 2(n-1) -1[/tex]

[tex]f(7) = 2*(7-1)-1=2*6-1=11[/tex]

[tex]g(n) = 3n + 6[/tex]

[tex]g(10) =3*10+6=36[/tex]

(b) is false, because f(7) < g(10) i.e. 11 <36

[tex](c)\ f(5) < g(3)[/tex]

Calculate f(5) and g(3)

[tex]f(n) = 2(n-1) -1[/tex]

[tex]f(5) =2 *(5-1)-1 = 2*4-1=7[/tex]

[tex]g(n) = 3n + 6[/tex]

[tex]g(3) = 3*3+6=9+6=15[/tex]

(c) is true, because f(5) < g(3) i.e. 7 <15

Answer:

the answer is f(7) > g(10) because 63 > 36.

Step-by-step explanation:

Answer:

The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.

Step-by-step explanation:

Box

2400/60 * .5 = 20

Cylinder

2400/80 * .75 = 22.5

Box cost 2.50 less

Answer:

a. The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.

Step-by-step explanation:

Just got it right on Edge

Answer:

I think its 30 meters. The bottom rectangle is 21 Meters and the top square is 9 Meters

Answer:

20

Step-by-step explanation:

Cause d = C/3.14 and that’s equals 2 3.14 and c times radius

Answer:

17.4

Step-by-step explanation:

got it wrong on delta

a^{2}+(36)^{2}=

a

2

+(36)

2

=

\,\,40^{2}

40

2

Use the Pythagorean Theorem.

a^{2}+1296=

a

2

+1296=

\,\,1600

1600

Simplify.

-1296\phantom{=}

−1296=

\,\,-1296

−1296

Subtract 1296 from both sides.

a^{2}=

a

2

=

\,\,304

304

\sqrt{a^{2}}=

a

2

​

=

\,\,\pm\sqrt{304}

±

304

​

Square root both sides.

a=

a=

\,\,17.435595...

17.435595...

Simplify. Ignore negative root, as length must be positive.

a\approx

a≈

\,\,17.4

17.4

The distance far up the side of the house will the ladder reach now will be 15.2 feet.

The distance far up the side of the house will the ladder reach now will be 15.2 feet.

A 40 foot ladder is set against the side of a house so that it reaches up 24 feet.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Let the distance between the base of house and ladder foot is x feet.

By using Pythagoras theorem;

40² = 24² + x²

⇒ 1600 - 576 = x²

⇒ x² = 1024

⇒ x = 32 feet

If Lily grabs the ladder at its base and pulls it 4 feet farther from the house.

Then, the distance between the base of house and ladder foot = x + 5

Height of house is h feet

40² = h² + (x + 5)²

⇒ 1600 = h² + (32 + 5)²

⇒ 1600 = h² + 1369

⇒ h² = 1600 - 1369

⇒ h² = 231

⇒ h = √231

⇒ h = 15.19 feet

Therefore, the distance far up the side of the house will the ladder reach now will be 15.2 feet.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ2

Answer:

880 times 0.45 equals 396 as his/her commissioner fee

Step-by-step explanation:

Answer:

n-23

Step-by-step explanation:

Answer:

[tex] \frac{t + 3}{t + 4} = 1 - \frac{1}{t + 4} [/tex]

Answer:

74 degrees

Step-by-step explanation:

As sum of interior and exterior at a vertex add to 180, subtract 106 from 180 to get 74 degrees

Answer:

35

Step-by-step explanation:

180-145=35

Answer:

the small section should be 35° if you think half a circle is 180° subtract the 145°

Answer:

y=15/16x+19/8

Step-by-step explanation:

Hi there!

We are given the points (6,8) and (-10, -7) and we need to find the equation of the line

There are 3 ways to write the equation of the line, but the most common format is slope-intercept form, or y=mx+b form, where m is the slope and b is the y intercept

First, we need to find the slope

The formula for the slope calculated from two points is (y2-y1)/(x2-x1), where (x1, y1) and (x2,y2) are points

Our (x1,y1), and (x2,y2) are (6,8) and (-10, -7)

we can label their values to avoid confusion:

x1=6

y1=8

x2=-10

y2=-7

substitute into the formula

m=(-7-8)/(-10-6)

m=15/16

so the slope is 15/16

here's our equation so far:

y=15/16x+b

we need to solve for b

Because the line will pass through (6,8) and (-10,-7), we can substitute either one of them into the equation to solve for b

Let's take (6,8) as an example

Substitute x as 6 and y as 8

8=15/16(6)+b

Multiply

8=45/8+b

subtract

19/8=b

therefore, the equation of the line is:

y=15/16x+19/8

Hope this helps! :)

Answer:

The 3rd graph goes on top, the 2nd graph stays in the middle, and the 1st graph goes on the bottom

Step-by-step explanation:

you are sorting these graphs by which people are getting the most average sleep. The people with less sleep go on top while the people with more sleep go on the bottom. You will find the mean (average) for each graph and sort them out.

Answer:

f(x) = 4x + 3

Step-by-step explanation:

plug in some x values to test:

4(0) + 3 = 0 + 3 = 3

4(3) + 3 = 12 + 3 = 15

4(6) + 3 = 24 + 3 = 27

it checks out

Answer:

It would be the last one

Step-by-step explanation:

here are the coirdantes:

0-3

3-15

6-27

9-39

So if u try the first one

f(x)=x+3

3(1)=3

3+3=9

So it does not work

The second choice:

f(x)=-4x-3

3(-4)

-12-3=-15

It does not work

The third choice:

f(x)=1/4x+3

3(1/4)=3/4

3/4+3=3 3/4

The last one:

f(x)=4x+3

9(4)=36

36+3=39

As you can see the last one works

I hope this helped :D

(Fyi you can use your graphing calculator: (Ti-38))

Anwser:

180/3=60

60/12=5

3x(12x5)=180

b=5

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the axis of symmetry is

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

y = 3x² - 18x + 1 ← is in standard form

with a = 3, b = - 18

x = - [tex]\frac{-18}{6}[/tex] = 3

Axis of symmetry is x = 3

Answer:

y = 3/4x + 6

Step-by-step explanation:

6-3          3

------- =  ------

0--4        4

y = mx + b

take coordinates for y and x out of (-4, 3) or (0,6)

6= 3/4 * 0 + b

6 = 0 + b

b = 6

Answer:

69

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Answer:

1/5 is the correct answer on edge. 2021

Step-by-step explanation:

Answer:

The wood from the birch tree has a greater density than the wood that came from the cypress tree.

Step-by-step explanation:

Density formula: mass/volume

2 times 4 times 3=24 meters for the volume

Birch tree: 16/24 is the density

3 times 5 times 2=30 meters for the volume

Cypress tree: 15.3/30 is the density

If we convert the densities of each piece of wood to decimal it will be easier to determine which has a greater density.

So birch tree: 0.6 repeating is the density

Cypress tree: 0.51 is the density

Therefore the wood that came from the birch tree has a greater density than the wood that came from the cypress tree.

Hope I helped, have a nice day :)

Answer:

55

Step-by-step explanation:

You're looking at a right triangle, with both legs being complementary forming 90

Since you know one measurement, 35, substract that from 90 and  you get your missing angle.

90-35 = 55

Answer:

measure of the missing angle=55°

Step-by-step explanation:

Hi there!

We're given a right angle (as indicated by the red marking) being split into a 35° angle and another angle of unknown degree. Let's call the value of this angle x.

Because the given angle is 90° being split apart by the 35° angle and x, x+35° will equal to 90° (this is called parts whole postulate, where a whole (the 90° angle) is equal to the sum of its parts (the 35° angle and the x° angle))

so we can solve the equation as:

x+35°=90°

subtract 35 from both sides

x=55°

so the measure of the missing angle is 55°

Hope this helps! :)

Answer:

no 379s not in the sequence below

Answer:

a= -5

Step-by-step explanation:

Answer:

a = -5.

Step-by-step explanation:

x(3x+1) - 2(3x-5)

= 3x^2 + x - 6x + 10

= 3x^2 - 5x + 10

Comparing this term by term with

3x^2 + ax + 10 we see a = -5.

Answer:

O A. {1,2,3,4,...)

Step-by-step explanation:

Its not B because it holds 0 which is ±

Answer:

1

Step-by-step explanation:

1/4 - ( - 3/4)

{Multiplying two negative signs gives us positive sign}

1/4 + 3/4

Add both of them:

1/4 + 3/4 = 1

Answer:

1

Step-by-step explanation:

note that - (- ) = +

[tex]\frac{1}{4}[/tex] - (- [tex]\frac{3}{4}[/tex] )

= [tex]\frac{1}{4}[/tex] + [tex]\frac{3}{4}[/tex]

= 1

Answer:

top right

Step-by-step explanation:

Answer:

7q-46= 3q +6

7q-3q = 6+ 46

4q= 52

4q/4= 52/4

q= 13

Answer:

Hello! q = 22

Step-by-step explanation:

This is a supplementary angle meaning it will add up to 180 degrees so...

22 × 7 = 154 154 - 46 = 108

3 × 22 = 66 66 + 6 = 72

108 + 72 = 180 therefore q = 22 hope that helps!