a) Write an equation for the line of best fit.


Y=-0.007x+13.713


5. The data below shows the population of a city,


In millions of people, since 1950.


Year Population


1950 1.75


1960 1.68


1970


1.52


1980


1.16


TO


b) Estimate the population of the city in 2020.


1990


1.04


2000


0.98

The product of given binomial and trinomial is given by below polynomial:

[tex]x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]

The expression formed by the sum of sub expressions which are product of constant integers with variables raised to some exponent is called polynomial.

Their product is given by:

[tex](x^3 + 3x^2 - x + 2) \times (x^2 + 6x -2)\\= x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 -6x^2 + 2x +2x^2 + 12x - 4\\= x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]

Thus the product of given binomial and trinomial is given by below polynomial:

[tex]x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]

Learn more here:

https://brainly.com/question/1477426

Answer:

[tex]\huge\boxed{\sf 2x - 16}[/tex]

Step-by-step explanation:

twice a number x = 2x

minus means to subtract (-)

So, twice a number minus 16 is:

= 2x - 16

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Hey there!

Our unknown number is x.

First, "twice x" means we multiply x by 2:

2x

Then, we subtract 16:

2x-16

Therefore, the expression is: 2x-16

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A teen who helps others with a smile on her face

Good luck with your studies. :-)

Answer:

Both plans would cost $100 if 6 gigabytes of data are used.

Explanation:

From the question, the system of equation are correctly represented by using small letter c to represent the total cost in dollars for both equations as already assumed in the question as follows:

c = 52 + 8d ........................... (1)

c = 82 + 3d ........................... (2)

Since c is common to both, equations (1) and (2) can therefore be equated and d solved for as follows:

52 + 8d = 82 + 3d

8d - 3d = 82 - 52

5d = 30

d = 30 / 5

d = 6

Substituting d = 6 into equation (1), we have:

c = 52 + (8 * 6)

c = 52 + 48

c = 100

Since d = 6 and c = 100, it therefore implies that both plans would cost $100 if 6 gigabytes of data are used.

        4x - y = -19

       4(4x - y) = 4(-19)

            16x - 4y = -76

Now, let's substitute the 'x' value in the equation.

Therefore, the answers are:

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

(-7, -9).

( x = -7 and y = -9)

Step-by-step explanation:

-3x + 4y = -15  

  4x - y   = -19

Multiply second equation by 4:

16x - 4y = -76

Add this equation to the first to eliminate y:

13x = -15 + -76

13x = -91

x = -7.

Substitute this into equation 2:

4(-7) - y = -19

-y = -19 + 28

-y = 9

y = -9.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The scale factor is 5.3 repeating. So I divided 24 by 5.33333333333333333 and got 4.5. I don't know if it's accurate since it's a reapeating decimal but it's close enough. Then I multiplied 2 by 5.3333333333333333333333 and got 10.6666667.

Answer:

32

Step-by-step explanation:

area=2(lb+bh+lh)

2(3×2+3×2+2×2)

2(6+6+4)

2(16)

=32

Answer:

x=-3h

x=-12

Step-by-step explanation:

[tex]\frac{x}{h} +1=-2[/tex]

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

[tex]x=-3h[/tex]

[tex]x=-3(4)[/tex]

[tex]x=-12[/tex]

Answer:

False

Step-by-step explanation:

789+890 = 1679

Answer:

789+890+1313=2992

Step-by-step explanation:

The answer is 34.54 cm

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: Radius=11cm

Thus circumference of the semi-circle is = πr

                                                                      =3.14×11

                                                                       =34.54 cm

Hence, The answer is 34.54 cm

Learn more about circumference of a circle here:

https://brainly.com/question/14200825

#SPJ1

Answer:

3

Step-by-step explanation:

Answer:

blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

29-28=1

1+28=29

29+11=40

40-11=29

Thank you for this challenge that was half the challenge of a challenge........

Better hope you stay up long enough to see the animatronics. :)

Answer:

1

Step-by-step explanation:

if you use a calculator, it will come up as 1. I don't know why, but it does.

Hope this helps!

Answer:

A.24

Step-by-step explanation:

EF=√(25)²-(7)²

EF=√625-49

EF=√576=24

Variables:

w= The\ year\ Civil\ War\ ended

The year the Greek city of Helike disappeared is -1/5(w)

sry if im wrong i hope this helps tho :)

Answer:

Hope this helps

Step-by-step explanation:

-1/5x=w

w=1865

so -1/5x=1865

x=-9325

Answer:

20

Step-by-step explanation:

I'm pretty sure its 20 but I could be wrong but 20 is my best guess.

Answer:

16 of the 33 plays none.

Step-by-step explanation:

From the list, we get that 18 students play football, 1 basketball, and 7 both.

What we need to do here is add up 18 and 1

then we subtract 19 by 7 to cancel out the people who play both

and then subtract the total number of 33 by 17,

which gives you 16.

Answer:

1/6

Step-by-step explanation:

Apply the distributive property.

1/3 x 1/6 = 2/36

1/3 x 5/12 = 5/36

Add the products.

2/36 + 5/36 = 7/36

Subtract the result by the 1/36.

7/36 - 1/36 = 6/36

Simplify the fraction.

6/36 = 1/6

-hope it helps

Answer:

try the 3rd one

Step-by-step explanation:

if it's not right then i'm sorry

Answer:

Below!

Step-by-step explanation:

The slope is un-defined because the x axis on both points are the same. Therefore, the slope is un-defined.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

6 miles

Step-by-step explanation:

2 inches : 1.5 miles

8 inches : 4(2 inches)

8 inches : 4(1.5 miles)

8 inches : 6 miles

6 miles away

-Chetan K

The actual distance between the two trails is 6 miles.

Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.

Let x represent the actual distance between the trails in miles. The proportion would be:

(2 inches / 1.5 miles) = (8 inches / x miles)

Now, solving for x:

2/1.5 = 8/x

Cross-multiplying:

2x = 1.5 × 8

2x = 12

Divide by 2:

x = 6

So, the actual distance between the two trails is 6 miles.

Learn more about proportion here:

https://brainly.com/question/1496357

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Answer:

True

Step-by-step explanation:

6^3, or 6x6x6, is equal to 216.

---

hope it helps

Answer:

true

Step-by-step explanation:

Answer:

#2 and #4

Step-by-step explanation:

Anything with a variable squared is not linear

Answer:

Not enough info

Step-by-step explanation:

Not enough info sry

Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

C) 5 seconds

Step-by-step explanation:

[tex]h = - 16t {}^{2} + 64t + 80[/tex]

When the ball hits the ground, the height is 0.

[tex]0 = - 16t {}^{2} + 64t + 80[/tex]

Factor out the greatest common factor: 16

[tex]0 = - 16(t {}^{2} - 4t - 5)[/tex]

Find numbers whose sum is -5 and product is - 4.

Those numbers are - 5 and 1: - 5 × 1 = - 5, - 5 + 1 = - 4

[tex]0 = - 16(t - 5)(t + 1)[/tex]

[tex]t - 5 = 0[/tex]

Or

[tex]t + 1 = 0[/tex]

So,

[tex]t = 5[/tex]

Or

[tex]t = - 1[/tex]

Since time cannot be a negative value the correct answer is 5 seconds.

Answer:

Step-by-step explanation:

Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.

The distance after x seconds is:

Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.

The distance after x seconds is:

After 15 seconds the distance from the start line is:

As we see Sam is further from the start line than Alice

Answer:

Step-by-step explanation:

Part A

The first thing you have to do is develop a formula for the line.

It goes through (-2,3)

It has a y intercept of (0,-1)

So far what you know is

y = mx - 1

x = - 2

y = 3

3 = m(-2) - 1                  Add 1 to both sides

3 + 1 = (-2)*m

4 = - 2*m                      Divide by - 2

4/-2 = m

m = - 2

The equation of the line is y = -2x - 1

Instead of y, we can use f(x)

f(x) = -2x - 1

Finally we can solve this part of the question.

f(1) = - 2(1) - 1

f(1) = -2 - 1

f(1) = - 3

Part B

f(x) = 5

y = 5

5 = -2x - 1           Add 1 to both sides

5+1 = - 2x           Divide by - 2

6 / -2 = -2x/-2

-3 = x